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I only recently read this from the Catholic News Agency article, Vatican cardinal supports common Easter date for Catholics, Orthodox [catholicnewsagency.com], Mar 12, 2021:
Quote
The president of the Pontifical Council for Christian Unity, Cardinal Kurt Koch, has supported a suggestion that Catholics and Orthodox work to agree on a common date to celebrate Easter.

A representative of the Patriarchate of Constantinople to the World Council of Churches (WCC) said a common Easter date could be a sign of “encouragement” for the ecumenical movement.

Orthodox Archbishop Job Getcha of Telmessos suggested that the year 2025, which will be the 1,700th anniversary of the First Ecumenical Council of Nicea, would be a good year to introduce this reform of the calendar.

This is an initiative of the of Ecu­meni­cal Patri­ar­chate. The full proposal by Archbishop Job, giving the scope and intent, is the second article (scroll down) in the February 2021 Newsletter of the Per­ma­nent Dele­ga­tion of the Ecu­meni­cal Patri­ar­chate to the World Council of Churches: EDITORIAL TOWARDS A COMMON DATE OF EASTER: REMAINING FAITHFUL TO THE COUNCIL OF NICEA (325) [mailchi.mp].

Four years, then, to study and prepare and discuss.

We've had several spirited discussion related to this topic on this forum. What will it take for this new initiative be viable?

I invite all to give their views on what it will take for there is to be real progress, not the stagnation and stalemate of the past. I say progress and not (complete) success because I suspect there will be some who will never accept anything but THEIR status quo. Will truth prevail -- and should it -- at the risk of schism?

This calendar question, more precisely a unified observance of the annual feast of Pascha, acknowledged as the Feast of Feasts, is not dogma but it is theology, specifically (I'd say) Liturgical Theology. That is why this thread is here in Faith and Theology and not a News forum. For my part I intend to identify certain defining issues and significant events, and what I believe are the basic facts that must be clarified and accepted, before there can be any real progress.

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Christ is in our midst!!

ajk,

Thank you for bringing this topic, one we have discussed on this board at great length. I wonder how far it will go in the next four years up to the 1700th anniversary of Nicaea 1. Are all the autocephalous Orthodox Churches involved in this? Are the Oriental Orthodox part of this endeavor?

Just some thoughts.

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Originally Posted by theophan
Are all the autocephalous Orthodox Churches involved in this? Are the Oriental Orthodox part of this endeavor?
I don't know but guess who's not on board:

Standardization of the Date of Easter: Moscow Says “Nyet” [fsspx.news]

Quote
However, in a televised interview in April 2021, Metropolitan Hilarion of Volokalmsk declared that a modification of the Julian Calendar was “not on the agenda of the Russian Orthodox Church,” which has, in his own words, “no intention of changing the traditional system whereby the date of the celebration of Easter is fixed in our Church.”
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An attempt at conciliation was swept aside with a wave of the hand by the Russians: “But the question here is very simple: who should change their Paschal calendar? For example, we are not going to change it.”

And number two in Russian Orthodoxy recalled a similar attempt, a century earlier, in the 1920s, when Patriarch Tikhon issued an order to switch our calendar to the new style, and two weeks later this order had to be canceled, since the church people did not accept it.”

A predictable result, because the scattering of autocephalous churches in the Greek world - not to mention the political subjugation that their status entails - does not allow for the possibility that the standardization of the date of Easter will be reached soon, and as long as the grace of conversion has not illuminated intelligences and inflamed hearts.

So the sure way not to botch a reform again is to not even consider it.

More on this is also reported in Metropolitan Hilarion: the Russian Church will not change its way of establishing the date of Easter [fides.org].

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Christ is in our midst!!

I had seen the article about His Eminence's comments before. That's why I asked.

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ajk
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Originally Posted by ajk
Standardization of the Date of Easter: Moscow Says “Nyet” [fsspx.news]

Quote
However, in a televised interview in April 2021, Metropolitan Hilarion of Volokalmsk declared that a modification of the Julian Calendar was “not on the agenda of the Russian Orthodox Church,” which has, in his own words, “no intention of changing the traditional system whereby the date of the celebration of Easter is fixed in our Church.”
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An attempt at conciliation was swept aside with a wave of the hand by the Russians: “But the question here is very simple: who should change their Paschal calendar? For example, we are not going to change it.”

And number two in Russian Orthodoxy recalled a similar attempt, a century earlier, in the 1920s, when Patriarch Tikhon issued an order to switch our calendar to the new style, and two weeks later this order had to be canceled, since the church people did not accept it.”

A predictable result, because the scattering of autocephalous churches in the Greek world - not to mention the political subjugation that their status entails - does not allow for the possibility that the standardization of the date of Easter will be reached soon, and as long as the grace of conversion has not illuminated intelligences and inflamed hearts.

I surmise that Metropolitan Hilarion is poorly informed or not informed or does not care to be informed. Certain bishops and theologians ought to be ashamed of themselves for advocating or advancing the solution of Met. Hilarion's "traditional system," that is the Julian Computus, or those, like the Fathers of VCII, who advance or would accept a fixed date proposal. Both are deficient as a matter of theology, specifically the Liturgical Theology that I mentioned in the initial post. Those same bishops and theologians readily give their opinions, but it appears they do not have the intellectual capacity or the dedication to be adequately informed.

Prejudice, polemics and pride are why the Gregorian reform of the Julian Computus has not been acknowledged for the true and proper Revised Julian Calendar and Paschalion that it is. Owning that should be a necessary step in advancing a unified Pascha observance after 2025. That would entail that Orthodoxy, as the nexus of the Julian Paschalion, admit two mistakes:

1. The rejection of calendar reform by Pope Gregory XIII in the 16th c. and the several anathemas of that reform that followed.

2. The attempt at its own calendar reform of the 1920's, specifically its self-designated (Milanković) Orthodox "Revised Julian Calendar" (ORJC) and then, as though inviting failure, using it for fixed feasts but keeping the Julian Pascha as a compromise.

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Christ is in our midst!!

ajk,

I wonder if either of the last two suggestions you put forward will ever come to pass. It is my understanding that in Orthodoxy the entire Church must come to a unanimous decision on this type of issue. Many of the Slavic Churches do not, to this day, used the Revised Julian Calendar, though the Greek Churches do. Then there is the case of the Orthodox Church of Finland which uses the entire Western calendar for both fixed feasts and the Paschalion.

How do the Orthodox Churches come to a common practice before they can dialogue with those outside their communion?

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ajk
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Originally Posted by theophan
I wonder if either of the last two suggestions you put forward will ever come to pass. It is my understanding that in Orthodoxy the entire Church must come to a unanimous decision on this type of issue. Many of the Slavic Churches do not, to this day, used the Revised Julian Calendar, though the Greek Churches do. Then there is the case of the Orthodox Church of Finland which uses the entire Western calendar for both fixed feasts and the Paschalion.

How do the Orthodox Churches come to a common practice before they can dialogue with those outside their communion?
True in principle but is there ever that ideal consensus of a "unanimous decision"? There is already, for various reasons, the variation among the Slavs, Greeks and Finns as noted. But I don't know the Orthodox mindset and priorities.

What I am saying is that those Orthodox and Catholics, who realize that the Julian Paschaleon status quo can no longer be maintained, commit to its revision and actually make it happen. Just consulting internet sources, I find that most of the in-depth and unbiased critiques of the Julian Computus are from Orthodox writers. They just can't seem to bring themselves to endorse the Gregorian reform, however, even though it should be the obvious conclusion; rather they highlight some seemingly deficient aspect of the Gregorian Computus, of a kind and magnitude that is inherent in any calendar, as justification for a different, neutral solution.

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It just makes eminent sense to adopt the spirit of the Council of Nicaea and adopt the calendar that is in use today as the basis for calculating Pascha. If there are those churches that refuse, so be it. Let them carry on their "Third Rome" pretense. Does any one care anymore?

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It just makes eminent sense to adopt the spirit of the Council of Nicaea and adopt the calendar that is in use today as the basis for calculating Pascha. If there are those churches that refuse, so be it. Let them carry on their "Third Rome" pretense. Does any one care anymore?

Christ is in our midst!!

The problem is that the Russian Orthodox Church is the largest Orthodox Church in the world. It also seems to have a lot of influence with the rest of the Slavic Orthodox Churches. So it would seem to matter.

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ajk
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Originally Posted by theophan
Originally Posted by Utroque
It just makes eminent sense to adopt the spirit of the Council of Nicaea and adopt the calendar that is in use today as the basis for calculating Pascha. If there are those churches that refuse, so be it. Let them carry on their "Third Rome" pretense. Does any one care anymore?

The problem is that the Russian Orthodox Church is the largest Orthodox Church in the world. It also seems to have a lot of influence with the rest of the Slavic Orthodox Churches. So it would seem to matter.

Recent comments on the calendar by authoritative Russian Orthodox clergy, Bishop Hilarion, who is "chairman of the Moscow Patriarchate’s Department for External Church Relations," as quoted before, and here Fr. Stefan, "secretary for inter-Christian relations at the Moscow Patriarchate’s Department for External Church Relations," demonstrate their truly appalling vincible ignorance [web.archive.org]* on this topic:
Quote
According to Father Stefan, the “return of all Christian churches to uniformity in the date of the celebration of Easter would be a great blessing for the Christian world.” However, he also made clear that the Moscow Patriarchate will not change its way of calculating the date of Pascha. Thus, the RIA article states:

He [Father Stefan] stressed that the Paschalion is "a dogmatic position." "To depart from it means to lose touch with the Orthodox tradition. For the Russian Church, this issue cannot be on the agenda. We adhere to the teachings of the Ecumenical Councils and the Holy Fathers. This makes us Orthodox," concluded the representative of the Russian Church.

...

Father Stefan seems to be saying that the use of the Paschalion is a matter of dogma and that changing it cannot be “on the agenda.” In contrast, Archbishop Job in his editorial refers to the Paschalion as “old lunation tables” which are not astronomically correct. If Father Stefan’s statement reflects the position of the Moscow Patriarchate, it appears that the only way to obtain a uniform Easter date is for all churches to use the Julian calendar and the Paschalion in calculating the date.
The Russian Orthodox Church support...ster at the same time for all Christians [translate.google.com]

Given this stand, the Russian Orthodox Church should be ashamed of itself; it's giving religion a bad name. The 'Paschalion is "a dogmatic position."' Really? If Orthodoxy, though it may demur, must be in lock-step with such obstinate ignorance to avoid schism, then 2025 will be another exercise in futility.

__________________________________
* " Ignorance is vincible if a person could remove it by applying reasonable diligence. Reasonable diligence, in turn, is that diligence that a conscientious person would display in seeking the correct answer to a question given (a) the gravity of the question and (b) his particular resources."

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Originally Posted by ajk
... What will it take for this new initiative to be viable?

... to be real progress, not the stagnation and stalemate of the past... Will truth prevail -- and should it -- at the risk of schism?

This calendar question, more precisely a unified observance of the annual feast of Pascha, … is not dogma but it is theology, specifically (I'd say) Liturgical Theology ... For my part I intend to identify certain defining issues and significant events, and what I believe are the basic facts that must be clarified and accepted, before there can be any real progress.

Archbishop Job's editorial references the 1997 Aleppo Conference document, Towards a Common Date for Easter.* The proposed 2025 initiative, I expect, will build on that 1997 document as it should. +JOB's proposal and that document are informative and give a very good overview of the issues. There are a number of aspects of the basic topics, however, that are either not emphasized or not stated with the clarity needed to avoid the confusion that too often produces false impressions and subsequent erroneous restatements.

The 2025 initiative, and studies leading up to it, must be clearer, more specific and comprehensive, and more forthright. Here are some specifics:

1. Reject the fixed date idea as an insult to the 2000 year history of Christianity's sense of a liturgical calendar.

2. Reject the Julian calendar and its computus, i.e., its Paschalion, as no longer able to adhere to the Nicaean norm.

3. Acknowledge that in its approach (Nicaea and leap-year revision) and methodology (maintaining a link with the Julian’s Metonic cycle) the true Revised Julian Calendar IS the Gregorian Calendar.

4. Accept the Gregorian solar calendar; it is a Christian calendar and it has become the normative international civil calendar.

5. Accept the Gregorian (lunar) computus, its Paschalion, or an equivalent. Clearly acknowledge that it in no way whatsoever violates the (Eastern Church) Typikon.

Regarding:

1 & 2: Worse than the fixed date approach are those who argue that adherents of the Gregorian Paschalion, who are faithful to the norms of Nicaea in fact, should instead use the Julian for the sake of unity. To do so, or recommend or in any way sanction this only reduces the sense of the Paschalion of a Christian Passover, and its liturgical theology, to a trite formalism. It is an easy solution but a cop-out; it allows a caricature that only mimics what is true: Accept a faulty application of the heralded norms of Nicaea, when a correct implementation is available and works, in order to achieve the unity desired by that same Council. As a NT feast linked to the OT, this is Pascha nominalism, the flip side of the Old Calendar zealots’ calendar idolatry. Two examples of academics sympathizing with or tolerating this capitulation approach are: A Common Date for Easter? [praytellblog.com], Bert Groen in an Interview of July 25, 2015, Pray Tell blog; and Pope Francis and the Absurdly Vexed Calendar Question [catholicworldreport.com], Dr. Adam A. J. DeVille, June 25, 2015 Catholic World Report.

3&4 are just (indisputable) facts. For #3, the Julian calendar and its Paschalion is clearly identifiable in all aspects of the Gregorian reform whereas the (Milanković-Trpković) Orthodox Revised Julian Calendar approach has no significant link to it whatsoever.

5: The need for the Orthodox Revised Julian Calendar, and the “exact” scientific, astronomical approach may be an unnecessary complication; there are caveats and ramifications that need to be explored and documented. If the church does science then it must be held to the standards of science: properly report the methodology, the calculation, the database, the results, according to the norms of scientific reporting. The “exact” scientific, astronomical approach is just another model of the cosmos, more sophisticated and detailed than a traditional computus but a model nevertheless.

_______________________________________
* The table of dates attached at the end of that document has an incorrect entry, ironically, for the year 2025. It has for the Julian Easter/Pascha May 20 when it should be April 20, the same as the Gregorian, and the crux of +JOB's proposal highlighting a unified 2025 observance.

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Originally Posted by ajk
5: The need for the Orthodox Revised Julian Calendar, and the “exact” scientific, astronomical approach may be an unnecessary complication; there are caveats and ramifications that need to be explored and documented. If the church does science then it must be held to the standards of science: properly report the methodology, the calculation, the database, the results, according to the norms of scientific reporting. The “exact” scientific, astronomical approach is just another model of the cosmos, more sophisticated and detailed than a traditional computus but a model nevertheless.

The 1997 Aleppo statement recommends that "the most likely way to succeed in achieving a common date for Easter in our own day would be," in II 11.(b), "to calculate the astronomical data ... by the most accurate possible scientific means," It then explains
Quote
In regard to point b:In recommending calculation of the astronomical data by the most accurate possible scientific means (as distinct, for example, from reliance on conventional cyclical tables or personal observation), the consultation believes that it is being completely faithful to the spirit of the Council of Nicea itself, which also was willing to make use of the best available scientific knowledge. We are fortunate that experts in astronomy have already provided these necessary calculations; they are conveniently presented in Synodica V (Chambésy - Genève, Les Editions du Centre Orthodoxe, 1981) 133 - 149.

This is an example of throwing out terms and objectives that sound reasonable and even commendable but risk being hyperbole. How often will the calculation be updated as scientific data and theories improve? At what actual level of sophistication will the calculations be performed? How precise do they need to be to fit the criteria? Aleppo was in 1997 and the calculated data is from 1981. Consider this from the introduction to the Explanatory Supplement to the Astronomical Almanac 3rd Edition [amazon.com] (2012), keying on the word new:
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1.1.4 Conceptual Changes since the Last Edition
There have been a number of major changes since the 1992 edition …New procession and nutation theories have been adopted. New timescales and coordinate transformations have been introduced... Increases in accuracy, and the theories required by the increased accuracies, have driven most of these changes. … These observations have been used to define a conceptually new reference system. … At these accuracy levels, the definitions of the reference systems and the methods of reduction and analysis require the theory of relativity.

The new, space-fixed, barycentiric astronomical reference system … The new reference system, called the International Celestial Reference System (ICRS). is defined by a series of International Astronomical Union (IAU) resolutions passed In 1991, 1997, 2000. 2003 and 2006…

In order to define rigorously the ICRS in relativistic terms, the IAU introduced two systems… The IAU established a new moving reference frame of date … the IAU introduced new concepts and definitions including a new combined precession-nutation model …
This is for just a 20 year period. Are the churches and its scientific experts willing to keep up with all this to give us the timing of Pascha by the envisioned "most accurate possible scientific means"? Does adherence to the Nicaean norm justify this level of technical complexity and detail?

One of the difficulties about the calendar issue is that it has so many dimensions: historical, theological, sociological, pastoral, scientific; it requires an interdisciplinary approach. For instance, consider this Fr. John Whiteford on the New Calendar Controversy in Orthodoxy (Interview with Michael Lofton) (link [youtube.com]), streamed live on Jan 14, 2020, and the relative proportion of each of the dimensions.

Also, on the common sense level there are those who have little or no interest in the details or a desire to make the effort to learn yet, they have strong opinions and through the internet the means to express their uninformed, faulty opinions. For the 2025 initiative to move the churches, the christian, forward to a common reckoning of Pascha there must be a proper and accepted catechesis of all, the people and the expert alike. It needs to begin now.

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Synodica V (Chambésy - Genève, Les Editions du Centre Orthodoxe, 1981) referenced by the Aleppo Statement, Towards a Common Date of Easter (TCDE), is entirely devoted to the calendar issue on a number of levels, not just the technical, astronomical. It is available as a pdf-download, 3.8MB, SYNODHIKA_5.pdf [google.com]. It reveals that consideration was given to adoption of the Gregorian Calendar, and TCDE2025 should reexamine and reevaluate this option. It seems there is very little if any initiative by the Catholic Church in advocating the calendar and Paschalion that it initiated. To the extent this is so it is very unfortunate: the inability or unwillingness of the Catholic Church to offer a real service to the truth by standing up for and presenting the advantages and legitimacy of the Gregorian reform of 1582 and its calendar and Paschalion. The journey begun at Nicaea in 325 could properly, that is in the spirit and details of the Nicaean norm accepted by all, end with the adoption of the Gregorian Paschalion in 2025. This is not just idle talk, hyperbole, triumphalism or flamboyant rhetoric. It is eminently defendable and the Catholic Church should be taken to task for not advocating the Gregorian approach on its own merits, at least for the present and some considerable future time. The study Proceedings of the Vatican Conference to commemorate its 400th Anniversary, 1582-1982 [casinapioiv.va] should have a prominent place in the deliberations of TCDE2025. As its Preface states:

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Although this book is published as a Commemoration of the 400th Anniversary of the Gregorian Reform of the Calendar, its nature is not simply commemorative but it is intended to serve as a stimulus to further reflection, scholarly or otherwise, upon the calendar. With hardly, I believe, an exception we all experience that strange phenomenon of the almost inverse proportionality between the importance of many common factors in our lives and the degree of attention that we give to them. Among such factors is the role of the calendar in our daily activities. How many of us give any attention to how and why the calendar is structured the way it is? Could it be structured otherwise, perhaps even better? Yet the calendar forms the basis for the rhythm of our various daily activities. We take holyday weekends, have blue Mondays, envy those who work bankers' hours and experience a host of other phenomena, all of which we take for granted. Do we reflect, for instance, that the duration of the hour and the length of the week have no basis in natural astronomical phenomena, even though both are of very long usage? The week, in fact, is the only calendar period which has survived all calendar reforms without interruption. On the other hand the three "natural" periods are the day, the month and the year, arising from the relative motions of the earth, moon and sun; the incommensurability of these periods is the fundamental reason for the long and continuing history of calendar reform, a part of which is recorded in this book.

Synodica V also refutes and dispels the outright fabrications that the Gregorian reform violated the norm of Nicaea, in particular the utterly ridiculous statement that Pascha/Easter must be after Jewish Passover. How many times is this repeated when just the opposite is true; those who continue to maintain this and then also use it as a deficiency of the Gregorian Paschalion are actually the ones who are diametrically opposing the Nicaean norm. I recommend from the Synodica V volume The Date of Easter – A Canonist’s Observations (48-53) by Prof. (now Fr.) John Erickson (retired dean and church history professor [emeritus] of St. Vladimir’s Theological Seminary) followed by Prof. Gorges Contopoulos’ The Date of Easter (53-56). In particular, Erickson (50-51) quotes from an article in SVTQ (Ogitsky:1973, 278):

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Neither in the canons nor in other documents contemporary to the Council of Nicaea, and which interpret its definition is there any mention that one must exclude the possibility of coincidental concurrences of the Christian Pascha with the Jewish, i, e. the possibility of celebrating it in several instances on the same day as the Jews. Also, nowhere is there a prohibition against Christians celebrating Pascha earlier than the Jews. Such a prohibition would indicate a dependence of the date of the Christian Pascha on the date of the Jewish Passover. And everything that we know about the Nicene definition points to the fact that the Nicene Fathers were against any dependence whatsoever of Christians on Jews regarding this question.

Also of note from the article by Prof. Gorges Contopoulos (55):
Quote
The conclusion is that the present calculation of the date of Easter by the Orthodox Church is not in accordance with the letter of the 1st Ecumenical Synod. It is not even in accordance with its spirit, which is to have all Christians celebrate Easter on the same day.
Now, what solutions can be proposed? The obvious solution is to follow immediately the Gregorian calendar. This has two obvious advantages:
a) It is in close agreement with the rule established by the 1st Ecumenical Synod, and
b) Easter will be celebrated the same Sunday by all Christians.

However, this solution has also some difficulties. I will not discuss the difficulties arising from any change introduced in the Church, due to the traditionalistic attitude of many people. This problem is for you to discuss and solve.

I would offer considerable criticism for the socio-cultural insights of Archimandrite Nikon Patrinacos (78-96), and some misgivings about comments of the Anglican observer Rev. Wynburn (69-70). A Common Date for Easter – Notes on the Efforts in the Ecumenical Movement by Rev. Dr. Lukas Vischer (59-67) presents background on a number of issues that still provoke debate and should be on the TCDE2025 agenda. The other presentations and exchanges among participants are in French.

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I was looking over this thread, and a number of past forum threads on the calendar issue, and thought that a neutral examination of the scriptural passages dealing with the timing and theology of Passover/Pascha would be informative. What struck me out of the blue, however, and now seems so obvious -- perhaps it has been to others but I had missed it -- is that this whole calendar issue is now essentially an Orthodox issue. The timeline begins with the creation of the problem in Orthodoxy's 16th c. rejection of the Gregorian reform, an attempted solution of its own in the 1920s (first proposed in 1907) associated with the ecumenical movement and the WCC -- its own "Orthodox" calendar -- and then concrete numbers, calculations done in 1977 by "Orthodox astronomers" that were codified and put in a theological framework at Aleppo in 1997, and now rejuvenated in this new initiative.

There is a problem of a different sort on the Catholic side but this calendar controversy is really Orthodox made and sustained and through its compromises -- using the Gregorian Calendar masquerading as an "Orthodox" Revised Julian Calendar for fixed feasts but retaining the Julian Paschalion -- made even more contorted . The standard Orthodox response is that the controversy is the consequence of the West's, the Catholic Church's, unilateral implementation of the Gregorian calendar. Consider, however, that the essence of the Gregorian reform is exactly what all the Orthodox proposals, going back to at least the1920s, are striving to accomplish. In terms of Nicaea's mandate of a unified observance of Pascha, going back to the Julian Paschalion is not a solution. This new Orthodox/WCC initiative, and those of the past century, do not look to the Julian Calendar and its Paschalion as an option, in fact, quite the opposite as +JOB explains:

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While being determined by the Julian calendar, the date of the spring equinox (March 21) corresponds to April 3 of the Gregorian calendar, which is used worldwide today. Therefore, if the full moon appears before this date, the Orthodox must wait for the following full moon, and in this case, there will be a difference of one month between the Western and Orthodox Easter, as it will be the case this year [2021]. According to the astronomic data, the Orthodox then celebrate Pascha on the Sunday following the second full moon of spring, which contradicts the principle of Nicaea. If the spring full moon appears after April 3, Christians are supposed to celebrate Easter on the same day, as it indeed happens on occasion. However, since the Orthodox use old lunation tables to determine the date of the full moon, which are a few days behind the current astronomical data, in some cases the Orthodox must wait for the subsequent Sunday to celebrate Pascha, and this explains that there may be a difference of one week between the Eastern and the Western date of Easter. But in that case, according to the astronomic data, the Orthodox celebrate Pascha on the second Sunday following the full moon of spring, which also contradicts the principle adopted at Nicaea.
[emphasis added]

Aleppo and +JOB's proposal present the obvious inadequacy of the Julian computus and the desire to move on from it. Although acknowledging that the Gregorian Calendar is a proper approach, It is discounted simply because it's not Orthodox in origin. And a major part of Orthodoxy, the Russian church, like an obstinate child, simply refuses to even consider the facts; some others vigorously promote the needed reform but it has to be Orthodox invented to be acceptable.

Nicaea wanted a united observance of Pascha. It is not those who use the Gregorian calendar or advocate the Aleppo initiative who are impeding that united observance. Everyone accepts the pertinent Scripture that determines the timing of Passover that the Church has used in various ways for the timing of Pascha. It is not those who use the Gregorian calendar or advocate the Aleppo initiative who depart in fact from that pertinent Scripture.

Orthodoxy has put the Church (East and West), the Body of Christ, in a bind over this issue that appears again and again, de facto, as significant in the life of the Church: It has taught its faithful to firmly reject that which it now proposes. For all the pious talk of unity and Nicaea there are those who have enshrined custom and an ancient inadequate calendar, content to do it their way, thereby disregarding the directives of scripture, the desire of Nicaea, and the timing of God's sun and moon. It is incapable of regulating itself as +JOB relates:

Quote
The question of the calendar and the common date of Pascha was listed among the 17 topics to be examined by the future Holy and Great Council of the Orthodox Church by the inter-Orthodox preparatory committee which met in 1930 at the monastery of Vatopedi on Mount Athos. It was kept on the list of issues established by the first Panorthodox Conference in Rhodes in 1961 which launched the process of the preparation of the Holy and Great Council of the Orthodox Church and remained among the ten topics on the agenda determined at the first pre-conciliar pan-orthodox conference of Chambésy in 1976. In preparation towards the council, a specific congress of Orthodox astronomers met in Chambésy in June 1977 to prepare both a revised calendar, even more accurate than the Gregorian one, and review the lunation tables according to the most accurate astronomic data.Unfortunately, the Synaxis of the Primates of the Orthodox Churches held in Chambésy in January 2016, decided to exclude this question from the agenda of the council, fearing that a calendar reform would create a new schism within the Orthodox Church. Thus, no decision has been taken on the issue by the Orthodox to this day.

Reiterating, this calendar problem is now, essentially, Orthodox made.

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Maybe the best we can hope for is that Jurisdictions will allow individual parishes to go on the Gregorian paschalion, following the example of Finland.

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Yes - in Finland The Lutheran, Orthodox and Catholic church are using The same calendar. Se on viisautta! Olkaamme vakaat!

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Originally Posted by Krysostomos
Yes - in Finland The Lutheran, Orthodox and Catholic church are using The same calendar. Se on viisautta! Olkaamme vakaat!
And how in particular is it working out there for the Orthodox? Do the Orthodox acknowledge and give witness to a wisdom to which all should be attentive?

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Well, in fact, I just don't know...

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Originally Posted by ajk
[quote=ajk]

One of the difficulties about the calendar issue is that it has so many dimensions: historical, theological, sociological, pastoral, scientific; it requires an interdisciplinary approach. For instance, consider this Fr. John Whiteford on the New Calendar Controversy in Orthodoxy (Interview with Michael Lofton) (link [youtube.com]), streamed live on Jan 14, 2020, and the relative proportion of each of the dimensions.

In that presentation Fr. John Whiteford stated that the Sigillon of 1583 was forged. Do you know anything about this?

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Originally Posted by Mockingbird
Originally Posted by ajk
One of the difficulties about the calendar issue is that it has so many dimensions: historical, theological, sociological, pastoral, scientific; it requires an interdisciplinary approach. For instance, consider this Fr. John Whiteford on the New Calendar Controversy in Orthodoxy (Interview with Michael Lofton) (link [youtube.com]), streamed live on Jan 14, 2020, and the relative proportion of each of the dimensions.

In that presentation Fr. John Whiteford stated that the Sigillon of 1583 was forged. Do you know anything about this?
No, I don't, and thanks for reminding me about his comment. I remembered someone had called into question the legitimacy of that 16th c. rejection of the Gregorian reform by the Orthodox, but couldn't recall who it was -- too bad he didn't give a reference.

I've tried to find out more about calendar reform in the East both prior to but especially during the 4+ centuries after the Gregorian reform, but to no avail.

I'm listening to the interview (again) as I write this. Fr. John is intelligent and non-polemical but he is sufficiently misinformed and imprecise that he presents the calendar issue as ultimately being somewhat arbitrary, even whimsical; and that only legitimizes stalemate and the status quo.

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Christ is in our midst!!

Each year at the Orthodox Pascha celebration the appearance of the Holy Fire occurs in the Church of the Holy Sepulcher in Jerusalem. It does not occur on the date the Resurrection is observed on the Gregorian calendar. It first appears to the Greek Orthodox patriarch and then to the Armenian patriarch of Jerusalem. How this occurs only on the date observed by the Orthodox and only on the date they observe Pascha is a mystery.

The Holy Fire appears as a blue flame and does not burn a person who touches it, according to a first hand observation by a man who later was a bishop and then metropolitan of the Orthodox Church in America.

Does this, perhaps, explain one of the reasons for the Orthodox refusal to use the Gregorian calendar calculation?

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Originally Posted by theophan
Christ is in our midst!!

Each year at the Orthodox Pascha celebration the appearance of the Holy Fire occurs in the Church of the Holy Sepulcher in Jerusalem. It does not occur on the date the Resurrection is observed on the Gregorian calendar. It first appears to the Greek Orthodox patriarch and then to the Armenian patriarch of Jerusalem. How this occurs only on the date observed by the Orthodox and only on the date they observe Pascha is a mystery.

The Holy Fire appears as a blue flame and does not burn a person who touches it, according to a first hand observation by a man who later was a bishop and then metropolitan of the Orthodox Church in America.

Does this, perhaps, explain one of the reasons for the Orthodox refusal to use the Gregorian calendar calculation?
It has not been a prominent point in the discussions I have had on this form dating back to 2008. I recall this occurrence, Re: Common Easter date?; see also the posts that follow it.

The norm or rule for determining the yearly date of Pascha that is associated with the Council of Nicaea is stated (with some variance) and accepted; the significant issue is in how it is correctly applied (Gregorian) or misapplied (Julian). I, therefore, must conclude that this is an instance where God accepts the sincere and genuine and fervent devotion of those using the Julian Paschalion, even though they (usually) have the wrong date.

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Just had this thought and question.

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Right, it was an appropriate thought and a valid question.

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Originally Posted by Utroque
It just makes eminent sense to adopt the spirit of the Council of Nicaea and adopt the calendar that is in use today as the basis for calculating Pascha. If there are those churches that refuse, so be it. Let them carry on their "Third Rome" pretense. Does any one care anymore?
Prior to composing this post I thought about that, who cares, especially with all the troubles of the world. Yet the churches have struggled with this issue, documented since at least the mid-second century AD Quartodeciman controversy. And as this thread witnesses, the WCC and an Orthodox Church and member in particular, have brought it to our attention again.

Also, we are the victim of circumstance; it turns out that there recently occurred everywhere throughout the whole world, and at the very same instant, an event relevant to this discussion: the northern hemisphere vernal (spring) equinox. This is a primary event used for timing and so the correct question is not When did it occur? but What was your particular timing device indicating when it happened?. For my time zone and clock, for instance, it happened yesterday 20-March-2022 on the civil calendar at 11:33 am Eastern Daylight Time (An informative article that has other details is When does spring 2022 start? [usatoday.com]).

The calendar and methods for timing Pesach/Passover and Pascha have gone through phases that I would classify as:

(1) Observational: OT to early NT times
(2) Computus using averages (Pascahalion): Nicaea (4th c) to present
(3) Modern detailed scientific, astronomical: 20-21st c.

Using detailed discrete calculations had been considered during the Gregorian reform. They were initially favored by Clavius, its chief architect, but the traditional computus approach was adopted.

The latest proposal, initiated by some Orthodox in the early 20th c., favored by Aleppo (1997) and repeated by +JOB (2021) is that scientific, astronomical approach:
Quote
+JOB:
It is worth mentioning that in 1997, the World Council of Churches held a consultation in order to establish a common date for Easter and recommended maintaining the Nicene norms (that Easter should fall on the Sunday following the first full moon of spring), to calculate the astronomical data (the spring equinox and the full moon) by the most accurate possible scientific means, using as the basis for reckoning the meridian of Jerusalem, the place of Christ’s death and resurrection.

Aleppo:
(e) The Council of Nicea also has an enduring lesson for Christians today in its willingness make use of contemporary science in calculating the date of Easter. While the council sought to advance the concrete unity of the churches, it did not itself undertake a detailed regulation of the Easter calculation. Instead it expected the churches to employ the most exact science of the day for calculating the necessary astronomical data (the March equinox and the full moon).

(b) to calculate the astronomical data (the vernal equinox and the full moon) by the most accurate possible scientific means,...

Those proposals, while basically sound, need to be explored further, especially in relation to the other phases, (1) and (2) above. The stated standard of using "the most accurate possible scientific means" requires dealing with the science, and that means attention to details and astronomical concepts. For instance, is giving the EDT occurrence as 11:33 sufficiently precise? Hours and minutes are given but what about seconds and hundredths of a second etc. Terms -- accurate, precise, error -- are used with a common, colloquial meaning and understanding that can be misleading. How is the venal equinox defined, determined, calculated? How has the statement of the rule for determining Passover/Pascha(Easter) changed and how true is that statement to the source, the scriptural texts?

To put yesterday's event into context, both the Gregorian and Julian calendars were designed so that the vernal equinox is intended to occur on its respective 21-March. The astronomical vernal equinox occurred:

20-March-2022 on the Gregorian calendar

07-March-2022 on the Julian calendar

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Just a heads up, no pun intended. Tomorrow is the second event for the reckoning of Pascha. If you look at the night sky, you will NOT see the moon; that is the important point, it's the astronomical new moon.

[Linked Image]
Image from April 2022 - Moon Phase Calendar [moongiant.com]
New Moon: Apr 1, 2022 at 9:24 am Moon Phases 2022 – Lunar Calendar for Nefat Yerushalayim, Jerusalem, Israel timeanddate [timeanddate.com]
New Moon: Apr 1, 2022 at 2:24 am EDT

Now, if the 20th c some-Orthodox-proposed / WCC method is applied, Pascha is the Sunday after the full moon that will occur on April 16, that is, Pascha is Sunday April 17. This is also Pascha for the Gregorian Paschalion. Julian Calendar Pascha is (on the civil calendar as shown) April 24th, the Sunday after the moon's last quarter -- not what the norm emanating from the Council of Nicaea specified.

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Could you explain again what is wrong with the "Reformed Julian Calendar" of those Orthodox Churches that use it? The Third Rome ideology has to do with the Moscow Patriarchate and there is a universal crisis within world Orthodoxy as a result of the Moscow patriarchate being state-controlled etc.

The "Orthodox Pascha" is really quite separate from any Third Rome issues (although in Moscow's case, you are doubtless correct). Orthodox tradition would argue in favour of the old Paschalion. Apart from the argument of "hey get with the program" which won't wash, what really is the argument against it?

And I, for one, am disillusioned with the Orthodox East as a whole so I'm more than open to the Western paschalion . . . and even Roman Catholicism.

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Originally Posted by Orthodox Catholic
Could you explain again what is wrong with the "Reformed Julian Calendar" of those Orthodox Churches that use it?
There is nothing wrong with the Revised Julian Calendar (RJC) itself; It is the same as the Gregorian/civil calendar until 28 February 2800. A problem in timing can occur when the RJC is used for fixed feasts but Pascha is computed base on the Julian calendar, and its faulty computus, and its date transposed to the RJC. Since they count days differently, sometimes they just don't mesh well. It is this mixed calendar approach that can present problems.

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Thank you, Reverend Father Deacon!

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Tony, could you please send me an email about this. jackfigel@verizon.net

Thanks!

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Jack,

I emailed you the thread; I have not seen more in the news. Let me know if you need something else.

DT

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I was offered a comment, which I’ve redacted for a particular focus, since I thought it an interesting variation on the often heard stipulation that Pascha must follow Passover (as it is now determined by Jews), which is the case for the Julian Paschalion but not always for the Gregorian. This really has nothing to do with adherence to the Nicaean Norm but arises because of a 13 day bias (error) in the Julian calendar.

The comment argues: The lunar phase calendar graphic [that I previously posted in this thread for April 2022] illustrates perfectly why the Orthodox calendar is correct. The full moon at the time of the Resurrection rose on what we now called Holy Thursday, so the Resurrection had to occur in three days (reckoned as we do, sunset to sunset). Pascha on Sunday April 17, 2022 is at least two days too soon....we must wait until the following Sunday April 24, which is Pascha according to the Julian determination.

This is saying that since the full moon is the time of the Passover on Thursday, there must be more intervening days for the Friday crucifixion and burial, and a day of the Sabbath rest in the tomb. But the Gregorian Pascha is the very next day after the full moon and does not allow for the intervening days.

This makes sense if the Nicaean Norm is that the sequence of events of the Passion must all take place after the Passover full moon as at the time of the Resurrection. But that is not the case. The Nicaea Norm does not link Pascha/Easter to the Passover timing in that way. And the proof is the Julian calendar itself.

When the Julian Paschalion computes the full moon (actually the 14th day of the moon; I hope to discuss this in a future post), and it falls on a Saturday, the following day, Sunday, is Pascha just as for the Gregorian Paschalion this year 2022. An example of this is actually given in Date of Easter [en.wikipedia.org] for the year 1573, ten years before the Gregorian reform:

Quote
This is the table of paschal full moon dates for all Julian years since 931:
Golden
number [The Table is shown here]

Example calculation using this table:

The golden number for 1573 is 16 (1573 + 1 = 1574; 1574 ÷ 19 = 82 remainder 16). From the table, the paschal full moon for golden number 16 is 21 March. From the week table 21 March is Saturday. Easter Sunday is the following Sunday, 22 March.
See also 1573 Julian calendar / Old style [5ko.free.fr].

So there is no requirement for any additional day(s) between the full moon and Pascha.

Doing the same for the present year, the Golden Number for 2022 is 9 giving a Julian Paschal full moon date of Wednesday April 7 on the Julian calendar. Applying the same rule, Pascha is Sunday, April 11 on the Julian calendar which is April 24 (the 13 day difference) on the Gregorian calendar. Here, the Julian calendar is doing the same computation as the Gregorian but with the 13 day shift.

And here’s what makes the difference: The actual, real, up-in-the-sky full moon is Saturday April 3, 2022 on the Julian calendar and not the calculated Wednesday April 7 (on the Julian calendar); Pascha should then be the next day, Sunday April 4 on the Julian which is April 17 on the Gregorian/civil calendar.

I had not realized the ramifications of this before. The Nicaean Norm, as the Julian calendar also demonstrates, does not require that the liturgical observance of the Christian Passover match the chronology of the historical sequence of events at the time of the Resurrection with respect to the full moon. So, following the Nicaean Norm, we read the prototype

Leviticus 23:5 In the first month, on the fourteenth day of the month in the evening, is the LORD's Passover

as a Jew but we interpret it as a Christian and so observe it liturgically.

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Concerning the proposition that the Sigillon of 1583 is a forgery, this post [johnsanidopoulos.com] names the forger, Iakovos of New Skete, but provides no evidence for the accusation of forgery. Most of the post is not about the Sigillon but about some intricate Eastern Orthodox church politics.

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Originally Posted by ajk
I was offered a comment, which I’ve redacted for a particular focus, since I thought it an interesting variation on the often heard stipulation that Pascha must follow Passover (as it is now determined by Jews), which is the case for the Julian Paschalion but not always for the Gregorian. This really has nothing to do with adherence to the Nicaean Norm but arises because of a 13 day bias (error) in the Julian calendar.

The comment argues: The lunar phase calendar graphic [that I previously posted in this thread for April 2022] illustrates perfectly why the Orthodox calendar is correct. The full moon at the time of the Resurrection rose on what we now called Holy Thursday, so the Resurrection had to occur in three days (reckoned as we do, sunset to sunset). Pascha on Sunday April 17, 2022 is at least two days too soon....we must wait until the following Sunday April 24, which is Pascha according to the Julian determination.

The Paschal table of Hippolytus, apparently following the Johannine chronology of the passion, that Jesus was crucified on the 14th of Nisan and raised on the 16th, never celebrates Easter before the 16th day of the moon. This custom persisted in the Roman computus as far as the computus of Victorius where it is used in some of the alternative dates for Easter provided in that table. But as you note, the Alexandrian computus always celebrated Easter during the (Christian) week of Unleavened Bread, from the 15th to the 21st of the moon. Bede even argues that it would be ideal if Easter could always occur on the 15th:

Originally Posted by Bede
If it were possible for this same fourteenth moon to fall on Saturday every year, nothing would displace the time of our Paschal observance from its lawful [time]. For [we], sacrificing according to the precept of the Law always on the fourteenth day of the moon of the first month at sunset, and eating the flesh of the immaculate lamb, and sprinkling its blood upon our doorposts to repel the destroyer (this is baptism) and celebrating the solemnities of the Paschal mass, would triumph over the spiritual Egypt. And at break of day on the fifteenth day of the moon of that month, we would enter upon the first day of Unleavened Bread, and we would complete the seven appointed days of that festivity with due veneration from the morning of the fifteenth day to the evening of the twenty-first day of that first month, that is from Easter Sunday until the Sunday of the octave of Easter.
--De temporum ratione 59. Faith Wallis's translation.

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Originally Posted by Mockingbird
Bede even argues that it would be ideal if Easter could always occur on the 15th:

Originally Posted by Bede
If it were possible for this same fourteenth moon to fall on Saturday every year, nothing would displace the time of our Paschal observance from its lawful [time]. For [we], sacrificing according to the precept of the Law always on the fourteenth day of the moon of the first month at sunset, and eating the flesh of the immaculate lamb, and sprinkling its blood upon our doorposts to repel the destroyer (this is baptism) and celebrating the solemnities of the Paschal mass, would triumph over the spiritual Egypt. And at break of day on the fifteenth day of the moon of that month, we would enter upon the first day of Unleavened Bread, and we would complete the seven appointed days of that festivity with due veneration from the morning of the fifteenth day to the evening of the twenty-first day of that first month, that is from Easter Sunday until the Sunday of the octave of Easter.
--De temporum ratione 59. Faith Wallis's translation.
Thanks, Mockingbird, you always provide good stuff; this is gold. I've read some of Wallis but would have missed Bede's meaning if you did not point it out. I'll comment more but first need to post a rather lengthy commentary that I wanted to offer as a preparation (meditation?) for Great & Holy Week. I think it turns out to be, by coincidence, the background for understanding Bede's preference for the 15th. This is installment 1.

With Spring and the Paschal Moon having arrived, and now the day for the annual remembrance of the Lord’s resurrection, this seems an opportune time to consider the scriptural texts that are relevant to the timing of the OT Jewish Passover, Pesach, and, consequently, the NT Christian Passover, Pascha. I have commented in previous posts that this calendar issue is not arbitrary and is even a matter of liturgical theology. But is it?

To what extent is it essential or necessary or important to have a liturgical year, an annual cycle of feasts and fasts, a Typikon , a tradition of Sunday as the Lord’s Day, an annual observance of Pascha? One can quote Isaiah and Paul against a mechanical fixation on appointed times and observances, but then there is the example of Jesus in His observance of those same appointed times and their link to the saving events in God’s, in the Father’s, economia.

Various forms of the calendar issue have been around since at least the mid-second century AD Quartodeciman controversy. The historical path of Christianity is one of attention to a cycle of feasts, commemorations. That same historical path witnesses that, even admitting there are legitimate interpretations and traditions, unity of observance and theological interpretation were important and determining factors, factors that excluded certain interpretations, viz. the Quartodecimans (on the Jewish Passover), and practices, viz. the Protopaschites (Sunday after the Jewish Passover). Once again, in this year of 2022, it is necessary to speak of the annual remembrances: Gregorian Pascha being 17 April, the third Sunday of April, and Julian Pascha a week later, which is Sunday, 24 April on the Gregorian calendar, and Sunday 11 April on the Julian calendar itself, which is the second Sunday of the Julian month of April.

If the calendar is not just a utilitarian tool but comprises real theology, then a close reading and interpretation of the relevant scripture should enhance our liturgical and spiritual awareness, and bring us closer to the event that is being liturgically remembered: the liturgical “today” (Calendar-Easter) that is being observed according to the mind of the Church.

I had envisioned a straightforward presentation and comment on the relevant scriptures as given, for instance, in the Aleppo statement. I found it necessary to get into the theological and scientific, i.e. astronomical, details of the biblical texts. This may seem a digression into minutiae but I would suggest that this is a literal instance of God being in the details.

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The Aleppo Statement gives some relevant biblical passages for the Passover event and alludes to the Christian connection in the NT and Nicaea:

Quote
(c) The Nicene norms affirm the intimate connection between the biblical passover (cf. especially Exod. 12:18, Lev. 23:5, Num. 28:16, Deut. 16:1-2) and the Christian celebration of "Christ our paschal lamb" (1 Cor. 5:7).

These passages are the basic texts but some others are needed for a full context. To better appreciate the meaning of the scriptures, however, requires a more basic, primitive, literal understanding of the scriptural texts than is presented in typical translations. Modern translations properly strive for immediate clarity in reading, or hearing the text proclaimed. A case in point is the first reference given from the book of Exodus describing the first Passover in Egypt. A standard translation of Ex 12:18ff

Exodus 12:18 In the first month, on the fourteenth day of the month at evening, you shall eat unleavened bread, and so until the twenty-first day of the month at evening. 19 For seven days no leaven shall be found in your houses… 21 Then Moses called all the elders of Israel, and said to them, "Select lambs for yourselves according to your families, and kill the passover lamb.

The clarity of this translation can be deceptive in what is actually described and how it is described. We think of some first month of a calendar year and its 14th day. Compare this to a literal rendering using the idiom of the Hebrew:

Exodus 12:18 In the first ( בָּרִאשֹׁ֡ן , ba-rishon) on the fourteenth day of the moon at evening ( לחֹ֙דֶשׁ֙ בָּעֶ֔רֶב ; chodesh ba-erev), you shall eat unleavens ( מַצֹּ֑ת matstsot f pl; ἄζυμα , azuma, n pl), and so until the twenty-first day of the moon at evening.

Recall that the day here is the evening-morning Biblical day. This passage also refers to an in/at the first, ba-rishon (adjective), so the first one, viz. something that is a beginning.

Also, the word codesh is here rendered in the more basic sense of moon not month. This is because the OT sense of time reckoning – the calendar – is based primarily on the moon, with the sun synchronizing the progression of the moons (months) to the seasons; it is a lunar time reckoning that is then adjusted as needed to be in step with the sun and thus the seasons of the year. In our civil calendar, a solar calendar, months can be and are of somewhat arbitrary number of days and are independent of the moon. Each month in the OT calendar is a one cycle of the moon, that cycle being ~29.5 days in length; the lunar month then is either 29 or 30 days long since half days would be awkward on a calendar. To visualize this, consider a standard current calendar that has the phases of the moon indicated. For some calendar month find the day of the “new moon” and from that day as day one, count out the next 31 days for good measure; most often this will include some days from the next calendar month. The result is something akin to the (lunar) month/moon of the scripture. For instance, this is what I am calling Astronomical Lunar March (moon-month) for 2021. It is chosen since it illustrates the point and is based on an astronomical, scientific, description of the moon’s phases. It spans portions of the months of March and April:
[Linked Image]
All the dates are for the civil calendar which is the Gregorian calendar. The March 2021 astronomical new moon occurred on March 13, here the first day of the moon, and the astronomical full moon 15 days later, which is the 16th day of the moon, on March 28. This Astronomical Lunar March 2021 was 30 days, March 13-April 11. The next moon, lunar month, began April 12. We in modern times most likely are unaware of or ignore this aspect of nature, this natural timing of the moon phases, although they were important in the past. For this astronomical data the full moon occurred on luna 16 (the 16th day of the moon). I've also indicated the date of the vernal equinox with its standard symbol, the sign for Aries, on luna 8.

If this astronomical data is used with the Aleppo statement's "recommendation" and its interpretation of the Nicaean Norms,

Quote
(a) to maintain the Nicene norms (that Easter should fall on the Sunday following the first vernal full moon)

then, the equinox having occurred on luna 8, the full moon on luna 16, a Sunday, Pascha is the next Sunday, luna 23, April 4.

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Although I'm reluctant to diverge from the review of Scripture, I recalled AB JOB's explanation of the scenario that leads to a difference in Pascha on the order of a month. Since the dates were presented for Lunar March, I though it would be simple enough to present it in terms of the familiar calendar months. I used color coding for clarity. As I proceeded, the graphic started to light up given the number of dates/events that are involved, and that for two calendars. But having done it. here it is -- hopefully it illustrates AB JOB's explanation. All the colors correspond to the same days on the two calendars. The astronomical data are times independent of any calendar; both the equinox and the full moon happen at the same instant for all places on earth. Calculations tell us when that happens and then we mark that on whatever calendar we want, and presumably use.

The key dates are on Julian March and they line up by coincidence. Gregorian Equinox (red) is on MAR 8 and the Paschal Full Moon(yellow) on the 15th so Gregorian Pascha (green) is the following Sunday MAR 22, which is APR 4 on the Gregorian calendar.

The Julian equinox (purple) on MAR 21 -- both the Julian and Gregorian fix the equinox to their respective MAR 21 -- comes after, i.e. misses the full moon of the 15th. It must wait for the next full moon on the APR 14 (grey) and the Julian computus is close enough to the astronomical that it gives a date of APR 19 (blue) for its Pascha. This is MAY 2 on the Gregorian calendar.
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Though not in Aleppo’s list, Exo. 12:2 gives some additional important information for understanding the timing of the Passover. Again, being literal to get the flavor of the Hebrew text:

Exodus 12:1 YHWH said to Moses and Aaron in the land of Egypt

Exodus 12:2 "This moon הַחֹ֧דֶשׁ (ha-codesh) shall be for you the head (beginning) רֹ֣אשׁ (rosh) of moons חֳדָשִׁ֑ים (codeshim); the first/chief ( רִאשׁ֥וֹן ; rishun) this to you (plural) for the moons of the year ( לְחָדְשֵׁ֖י הַשָּׁנָֽה ; le-chodshē hash-shanah).

Here a yearly timing is indicated, that is, some number of moons that eventually return to the one at the head and that then repeat the cycle. For both the Gregorian and Julian calendars a year is 12 calendar months and 365 days or, for leap years, 366 days. A year based on moons, lunar months, is 12x29.5 days = 354 day, 11 days short of the 365 day year. Basically every three years, the 12 lunar months fall behind by 3x11 days=33 days, thus 3 or 4 days more than a lunar cycle. When this happens, the Hebrew calendar must add an additional month, a leap month, to insure that the calendar is synchronized with nature. More than being just a page of a yearly wall calendar, the lunar month, the cycle of the moon, is a natural, celestial event. The calendar’s job is to accommodate the event. Nature determines and dictates the timing; calendars are just overlays on the natural, cosmic timing.

From Aleppo’s list, Lev 23:5 conveys the same basic instruction as Exo. 12:8, but with a refinement:

Leviticus 23:5 At the moon (חֹדֶשׁ ), the first/head, on the fourteenth for the moon ( לַחֹ֖דֶשׁ ) between the evenings ( הָעַרְבָּ֑יִם ) is the Pesach/Passover ( פֶּ֖סַח) to YHWH ( לַיהוָֽה ).

The time specified is not just evening as in Exodus but more specifically ha-arbaim, between the evenings, which is believed to be the time between noon and the evening twilight that begins the 14th day. But is it, is that the meaning?

The verses in Numbers give important additional information, relating the 14th and the 15th days:

Numbers 28:16 "On the fourteenth day of the first moon ( הָרִאשׁ֗וֹן ) is the YHWH's passover. 17 And on the fifteenth day of this moon is a feast; seven days shall unleavens be eaten.

In these translations, first has the meaning of primary rather than an ordinal number. So, the Passover is on the 14th and the meal is on the 15th, recalling that this is the evening-and-morning biblical day.

Exactly when, however, does this moon that corresponds to the moon at the time of the Exodus, the moon that is at the head of all the moons throughout the year occur? This is an example of that liturgical today. For every year, for every generation after the actual exodus from Egypt, the same participation in the actual event is realized by the timing of the moon and sun. Every year the timing of the event is replicated by the specified day of the moon, of the designated moon of the year, not by giving a date on a calendar, but in compliance with the present timing of nature, of the earth, moon and sun. This is the moon of YHWH's Passover made present, today, for every generation.

The specified moon is given in Deuteronomy & Exodus:

Deuteronomy 16:1 "Observe the moon of Aviv ( חֹ֣דֶשׁ הָאָבִ֔יב ; chodesh ha-Aviv) and keep the פֶּ֛סַח Pesach/Passover to YHWH your God; for in the moon of Aviv, YHWH your God brought you out of Egypt by night. 2 And you shall slaughter Pesach/Passover פֶּ֛סַח to YHWH your God, …

Exodus 13:1 YHWH said to Moses, 2 "Consecrate to me all the first-born; whatever is the first to open the womb among the people of Israel, both of man and of beast, is mine." 3 And Moses said to the people, "Remember ( זָכ֞וֹר zachor; μνημονεύετε , mnemoneuete) this day, in which you came out from Egypt, out of the house of bondage, for by strength of hand YHWH brought you out from this place; no leavenes shall be eaten. 4 This day you are to go forth, in the moon of Aviv.

Exodus 23:15 You shall keep the feast of unleavens ( חַ֣ג הַמַּצּוֹת chag_ham-matstsot; ἑορτὴν τῶν ἀζύμων); as I commanded you, you shall eat unleavens for seven days at the appointed time ( לְמוֹעֵד ; le-moed) in the moon of Aviv, for in it you came out of Egypt…

Thus the time of the Exodus, the appointed time (the feast) of Pesach/Passover and Unleavened Bread (I have not translated it this way since there is no explicit word bread) is the moon of Aviv (This moon of Aviv also goes by its Babylonian name, Adar). Aviv in OT Hebrew means the new, not fully ripened, green barley [Cf. LXX: ἐν μηνὶ τῶν νέων (Exo 13:4)]. This phenomenon of nature occurs in the spring and gives the solar, the seasonal timing for the moed [at the appointed time ( לְמוֹעֵד ;le-moed)], the specific moon of the twelve (or thirteen) moons that return the yearly cycle to the season when the barley has appeared. (In modern Hebrew, Aviv actually means Spring; the modern city and former capital of the State of Israel, Tel Aviv, is Hill of Spring.)

It was important on a practical level to get the timing of this moon correct (See, Sacha Stern, Calendar and Community, 70,"The year may be intercalated on three grounds..."). This is because there is an additional directive that ties Passover/Unleavended Bread with another important feast. It is important to get the Aviv Moon correct in order to make good on the availability of the Aviv, the barley, for the ritual offering of the Omer. This is recorded in the books of Leviticus and Deuteronomy:

Leviticus 23:10 "Say to the people of Israel, When you come into the land which I give you and reap its harvest, you shall bring the sheaf עֹ֛מֶר (omer) of the first (fruit) רֵאשִׁ֥ית (rēshit, ἀπαρχὴν ) of your harvest to the priest;
Leviticus 23:11 and he shall wave the sheaf before the YHWH, that you may find acceptance; on the morrow after the sabbath the priest shall wave it…
Leviticus 23:15 "And you shall count from the morrow after the sabbath, from the day that you rought the omer of the wave offering; seven sabbaths שֶׁ֥בַע שַׁבָּת֖וֹת complete shall they be,
Leviticus 23:16 counting fifty (LXX: πεντήκοντα) days to the morrow after the seventh sabbath; then you shall present a cereal offering of new grain to the YHWH.

Deuteronomy 16:9 "You shall count seven weeks; begin to count the seven weeks from the time you first put the sickle to the standing grain. Deuteronomy 16:10 Then you shall keep the feast of weeks to the YHWH your God with the tribute of a freewill offering from your hand, which you shall give as the YHWH your God blesses you;

These verses account for the timing of Passover and Unleavened Bread and the Moed (appointed time, feast) of the first-fruit (omer) and its counting to the 50th day, the Moed called Shavuot (Hebrew: שָׁבוּעוֹת‎, Šāvūʿōṯ, lit. "Weeks") in the Hebrew text of scripture, and Pentecost in Greek. This is the Moed/feast that Luke describes in Acts:

Acts 2:1 When the day of Pentecost had come, they [the disciples] were all together in one place. Acts 2:5 Now there were dwelling in Jerusalem Jews, devout men from every nation under heaven.

It must be noted, however, that while the timing, the linking of Passover and Unleavened Bread is explicit, the choice of the Sabbath and thus the "morrow after the sabbath" in the Leviticus passages is not explicit. This is true for Luke's account in Acts. Our liturgical year interprets that "morrow" as Pascha, and this was and is a common interpretation in Jewish practice also.

There is one last text concerning the preparation for the Passover, and it highlights an important aspect of our liturgical theology:

Exodus 12:3 Tell the whole community of Israel that on the tenth day of this month each man is to take a lamb for his family, one for each household… Take care of them until the fourteenth day of the month, when all the members of the community of Israel must slaughter them at twilight.
Exodus 12:6 and you shall keep it until the fourteenth day of this month, when the whole assembly of the congregation of Israel shall kill their lambs in the evening.

This 10th day, the day the lamb is selected, corresponds to the day that Jesus entered Jerusalem in triumph, the day observed liturgically as Palm/Flowery Sunday. This coincidence and its interpretation is discussed at some length by what I would characterize as non-liturgical Christian communities. I do not see it appearing in our (extensive) liturgical commentary, our prayers. Its link to the OT is not referenced in the NT. I wonder if this is noted at all in Patristic writings. The proper correspondence of OT feasts with our liturgical tradition, along with important cautions, is discussed by Fr. Sebastian Carnazzo, Rejoice All ye Peoples: The Feasts of the Old Testament [godwithusonline.org] at God With Us, a presentation that I highly recommend.

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To wrap it up, the attached pdf has calendar representations (too big to be inline) of the Moon of Aviv to Pentecost. Where scripture is not definitive about the timing, I have chosen the interpretation that is most compatible with liturgical observance.

This is a detail from the pdf. Applying the Nicaean Norm, however, seven different scenarios are possible, viz. luna 14 falling on any day of the week, Sunday through Saturday. If the goal of the liturgical observance of Pascha was intended to simulate primarily the historical, chronology pattern, then luna 14 on a Thursday would be the ideal.

[Linked Image]

Viewed as the biblical day, the meal, crucifixion and burial all happened on the same day, luna 15. This complements the liturgical/theological unity of the Eucharist as meal and sacrifice, its setting both Table and Altar. Of chronological necessity, Pascha is a different day.

As discussed in recent posts, Bede [en.wikipedia.org], a prominent computist of his time, considers what would appear to be the most restrictive scenario, luna 14 on a Saturday, as the ideal, thus:

[Linked Image]

For this case, through the representation of the calendar, the meal, crucifixion, burial and resurrection, along with the the count of unleavens and omer, all coincide!

Of course, all of the possible luna 14 scenarios are equally valid and liturgically complete.

A blessed Pascha to all those following the Julian calendar.

Christ is risen!
Attachments
Attached PDF document
Pascha-Pentecost.pdf (1.84 MB, 147 downloads)

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Christ is in our midst!!

Thank you for your thorough research on this issue.

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I highly, highly, recommend this presentation to everyone. I was impressed and touched by the sincerity and perspective of the participants. This is especially so for me as an Eastern (BCC) Catholic.

COMMON CELEBRATION OF PASCHA AND EASTERN-WESTERN CHRISTIAN RELATIONS [youtube.com]

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Originally Posted by ajk
I highly, highly, recommend this presentation to everyone. I was impressed and touched by the sincerity and perspective of the participants. This is especially so for me as an Eastern (BCC) Catholic.

COMMON CELEBRATION OF PASCHA AND EASTERN-WESTERN CHRISTIAN RELATIONS [youtube.com]
A good discussion. It was good of them to conduct their discussion in English, even though it seems difficult for some of them. I notice they are not afraid to call the Paschal feast "Easter" when speaking in English.

Archbishop Job speaks as though he thinks that the Western churches use astronomical observations in setting the date of Easter, whereas he must know, or can easily discover, that the churches which use the Gregorian calendar use the same kind of tables the churches that use the Julian calendar use, just with different numbers in them.

Acceptance of the Milankovitch/WCC proposal would be a break from the tradition of using a lunar calendar based on average lunations. Instead of using exact calculations of the full moon, I would propose using a lunar calendar based on the first visibility of the lunar crescent at Jerusalem. As a substitute for actual first visibility, a calculation of when the moon reaches a certain elongation (say 10 degrees) or a certain illuminated fraction could be substituted so that the lunar calendar could be determined in advance. This would define the first day of the lunar month. The Paschal lunar month would be the one for which the sunset beginning the month's 14th day occurs after the equinox at Jerusalem. Or some other rule could be used: for example noon on the 14th day would have to occur after the equinox. This approach would give us astronomical accuracy (since the lunar months would follow the true moon more exactly than they do now) but retain the tradition of using a lunar calendar.

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Passovers this year:

Rabbinic 14 Nisan: April 5 2023
Gregorian 14 Nisan: April 5 2023
Julian 14 Nisan: April 9 2023
Samaritan 14 Nisan: May 3 2023

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It's New Year's Day.
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New Year's Day is a festival observed in most of the world on 1 January, the first day of the year in the modern Gregorian calendar. 1 January is also New Year's Day on the Julian calendar, but this is not the same day as the Gregorian one.[a: Until 2100, 1 January on the Julian calendar coincides with 14 January on the Gregorian calendar]
New Year's Day [en.wikipedia.org]

As observed then, it is specifically for the Gregorian Calendar and it is the only festival (I believe) that is solely observed because it is a specific date on a specific calendar. So today is not just New Year's Day but, essentially, Gregorian Calendar Day.

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Originally Posted by Mockingbird
Acceptance of the Milankovitch/WCC proposal would be a break from the tradition of using a lunar calendar based on average lunations. Instead of using exact calculations of the full moon, I would propose using a lunar calendar based on the first visibility of the lunar crescent at Jerusalem. As a substitute for actual first visibility, a calculation of when the moon reaches a certain elongation (say 10 degrees) or a certain illuminated fraction could be substituted so that the lunar calendar could be determined in advance. This would define the first day of the lunar month. The Paschal lunar month would be the one for which the sunset beginning the month's 14th day occurs after the equinox at Jerusalem. Or some other rule could be used: for example noon on the 14th day would have to occur after the equinox. This approach would give us astronomical accuracy (since the lunar months would follow the true moon more exactly than they do now) but retain the tradition of using a lunar calendar.
I agree but my reservations have increased for the churches adopting the astronomical calculation approach. I finally followed my own suggestions in part -- Re: Calendar-Easter and Re: TOWARDS A COMMON DATE OF EASTER: REMAINING FAITHFUL TO NICAEA-- and while I see the functionality and neutrality in the method, the intricacy and the amount of additional specifications makes it more contrived.

Some further thoughts:

Computists of the past have often conflated the Paschalion and events in the life of Jesus. They tried to impose a biased harmony based on some mystical significance of dates. While related to the Paschalion, I consider establishing the date of the crucifixion, for instance, as a separate task. For the latter, modeling the methodology used by the Sanhedrin, the procedures for determining the Moon of Aviv for the Crucifixion Passover, involve additional meteorological, cultural and historical constraints. Consider April 3, AD 33: Why We Believe We Can Know the Exact Date Jesus Died [cbs.mbts.edu] and The Date of the Crucifixion [asa3.org].

For the churches, it is necessary and sufficient to conform to the biblical formula. The detailed astronomical approach can be more than sufficient but I do not think it necessary. The biblical approach is based on a sense of the moēd, the appointed time and place The Old Testament directives for when a feast is observed are not just a matter of calendar timing but of an appropriate time in reference to nature, the moēd:

Genesis 1:14, 16 And God said, “Let there be lights in the firmament of the heavens to separate the day from the night; and let them be for signs and for appointed times (moadim) and for days and years… And God made two great lights: a greater light to rule the day; and a lesser light to rule the night…” Exodus 23:15 “You shall keep the feast of unleavens; as I commanded you, you shall eat unleavens for seven days at the appointed time (moēd) in the month of Aviv, for in it you came out of Egypt…” Leviticus 23:4 “These are the appointed times (moade) of YHWH, the holy convocations, which you shall proclaim at the time appointed (moadam) for them.”

Thus, the

Biblical Formula: The appointed time for Pesach/Passover is the 14th day of the Moon that is the first of the Moons of the year, the Moon of the new barley, Aviv.

We must demonstrate in practice what we sing at Vespers : “He made the moon for the appointed times and the sun that knows its entrance” (Ps 103[4]:19).

I think the Gregorian Calendar and Paschalion are already doing the job as required.

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Originally Posted by ajk
It must be noted, however, that while the timing, the linking of Passover and Unleavened Bread is explicit, the choice of the Sabbath and thus the "morrow after the sabbath" in the Leviticus passages is not explicit. This is true for Luke's account in Acts. Our liturgical year interprets that "morrow" as Pascha, and this was and is a common interpretation in Jewish practice also.
According to Josephus Antiquities 3.250/3.10.5 the sheaf was waved on the 16th of Nisan:

Originally Posted by Josephus
On the second day of Unleavened Bread, that is to say the sixteenth, our people partake of the crops which they have reaped and which have not been touched till then, and esteeming it right first to do homage to God, to whom they owe the abundance of these gifts, they offer to Him the first-fruits of the barley in the following wise. After parching and crushing the little sheaf of ears and purifying the barley for grinding, they bring to the altar an assaron for God, and, having flung a handful thereof on the altar, they leave the rest for the use of the priests. Thereafter all are permitted, publicly or individually, to begin harvest. Moreover, besides the first-fruits of the crops, they offer a young lamb as a burnt-offering to God.

In modern Rabbinic Judaism the counting of the Omer begins after sunset on the first day of Unleavened Bread, i.e. at the beginning of the 16th of Nisan. I am informed by a footnote in the Loeb Classical Library edition (from which the translation has been taken) that the Karaites begin counting the Omer on the Sunday of Unleavened Bread, but I have not confirmed this.

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From a previous post in this thread:

Originally Posted by ajk
Originally Posted by ajk
The 1997 Aleppo statement recommends that "the most likely way to succeed in achieving a common date for Easter in our own day would be," in II 11.(b), "to calculate the astronomical data ... by the most accurate possible scientific means."
It then explains
Quote
In regard to point b:In recommending calculation of the astronomical data by the most accurate possible scientific means (as distinct, for example, from reliance on conventional cyclical tables or personal observation), the consultation believes that it is being completely faithful to the spirit of the Council of Nicea itself, which also was willing to make use of the best available scientific knowledge. We are fortunate that experts in astronomy have already provided these necessary calculations; they are conveniently presented in Synodica V (Chambésy - Genève, Les Editions du Centre Orthodoxe, 1981) 133 - 149.

In that post I questioned how the Aleppo proposal would insure the churches "calculate the astronomical data ... by the most accurate possible scientific means." The calculations reported in Synodica V in 1981 were done by three groups in 1979. The three groups were led by top-notch, well respected ("Orthodox") astronomers, so the quality of their work is not an issue. There were some differences in the results of the three groups and they did not provide details about the methodology and scientific models used. Science is neutral (so similar results would have been obtained by even atheistic scientists) but it is not static and data and calculations are always being refined, reevaluated and improved.

Of the three groups reporting at Chambésy in 1979 the largest time period calculated was Prof. Lederle's, 1969-2500. His calculation was the only one using the meridian of Jerusalem, given as longitude -35° 11'. This is the specification recommended in the Aleppo proposal which has a partial table of results included at its end (Calendar-Easter); these numbers appear to be from Lederle.

How often are the churches going to evaluate the "astronomical data " to insure the calculated results are obtained "by the most accurate possible scientific means"? And what are, who has, those most accurate means? Having asked that last question, I'll give my answer in forthcoming posts.

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An astronomical Easter, according to The Oxford Companion to the Year

Quote
The calculus astronomicus remained in effect in Sweden till 1823 (though overridden on account of Passover in 1778 and 1798) and in Finland (which Sweden had ceded to Russia in 1809) till 1867.
After this the Swedish and Finnish Lutherans went on the Gregorian calendar.

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Originally Posted by Mockingbird
An astronomical Easter, according to The Oxford Companion to the Year

Quote
The calculus astronomicus remained in effect in Sweden till 1823 (though overridden on account of Passover in 1778 and 1798) and in Finland (which Sweden had ceded to Russia in 1809) till 1867.
After this the Swedish and Finnish Lutherans went on the Gregorian calendar.

I often say, "Do the experiment," and the Swedish and Finnish Lutherans have done this for us. Eventually choosing the Gregorian calendar makes sense. What doesn't make sense to me is that the scientific "calculus astronomicus" succumbs to a less scientific Passover determination -- applying the spurious Zonaras Proviso [orthodoxwiki.org])? If it's required to check the Jewish determined date of Passover, why bother doing it yourself at all. Get the Jewish date for their Nisan 14 and then the next Sunday is Pascha-- simple, except that it's the Protopaschite approach discredited at/after Nicaea I.

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Christ is in our midst!!

We only need one thread dealing with this topic. Currently it runs in this section--Faith and Theology--and in Town Hall. Should these two be combined?

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Originally Posted by theophan
Christ is in our midst!!

We only need one thread dealing with this topic. Currently it runs in this section--Faith and Theology--and in Town Hall. Should these two be combined?

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The other thread, Calendar-Easter, is a sporadic, ongoing general discussion dating back to 2016. The present thread deals with an immediate and specific proposal of the Ecumenical Patriarchate focusing on 2025 and the anniversary of Nicaea I. I think combining the threads would blur that focus. Also, this thread is meant to draw attention to a common theological framework that should ultimately supersede the stumbling blocks of history, sociology, ecumenism, ethnicity, political considerations etc., as I stated in the initial post:
Originally Posted by ajk
We've had several spirited discussions related to this topic on this forum. What will it take for this new initiative to be viable?

I invite all to give their views on what it will take for there to be real progress, not the stagnation and stalemate of the past. I say progress and not (complete) success because I suspect there will be some who will never accept anything but THEIR status quo. Will truth prevail -- and should it -- at the risk of schism?

This calendar question, more precisely a unified observance of the annual feast of Pascha, acknowledged as the Feast of Feasts, is not dogma but it is theology, specifically (I'd say) Liturgical Theology. That is why this thread is here in Faith and Theology and not a News forum.

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OK

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Originally Posted by ajk
How often are the churches going to evaluate the "astronomical data " to insure the calculated results are obtained "by the most accurate possible scientific means"? And what are, who has, those most accurate means? Having asked that last question, I'll give my answer in forthcoming posts.

This is the first of those "forthcoming posts."

Before addressing those two essential questions and the technological, scientific, astronomical details and calculations, an overview that gives the historical and chronological context and the theological and liturgical foundations should be briefly reviewed.

This discussion arises from repeated initiatives of the Ecumenical Patriarchate (EP) over the past 100+ years aimed at liturgical-calendar reform. That initiative and its lengthy endurance is a clear indication that the Julian Paschalion needs to be replaced: It no longer adheres to the prescriptions of Scripture and the norms attributed to the Council of Nicaea. The EP’s initiative has been affirmed to various degrees by other churches and was put in a sound theological framework by the WCC's Aleppo proposal. The EP’s initiative has also produced (in 1923, published in 1924) a “New Calendar of the Eastern Churches” (aka Milankovitch or Revised Julian Calendar, same as the Gregorian until 2800).

In accord with the EP’s initiative, the Aleppo proposal modifies the traditional approach of both the Julian and Gregorian calendars in several significant ways:
- It is based directly on the full moon rather than the 14th day of the moon of Scripture.
- Its granularity (the smallest chunk of time considered) is the instant (second or fraction of second) rather than the day.
- It is not “perpetual” in the sense of a “perpetual calendar,” i.e. it does not have an inherent repeating cycle, a complete repetition of Pascha dates.
- It is not dependent on a calendar -- but as a practical matter must be referenced to a calendar.

The ideal of a Perpetual Calendar was an important feature of the computus of the Julian Paschalion and it was maintained, by design, in the Gregorian Paschalion, though the latter has a much longer cycle period. Based on calendar arithmetic, the full sequence of the Julian Paschalion repeats every 532 years; the full sequence of the Gregorian Paschalion repeats every 5,700,000 years. A consequence of this feature needs to be addressed: How often should revisions to the Paschalion be made and how contingent should the Paschalion be on minute and subtle shifts in timekeeping and predictive calculations?

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The 100+ year effort led by the Ecumenical Patriarchate (EP) is a testimony to the inadequacy of the Julian Paschalion.

The EP’s initiative has produced and reported (1979-1981) Pascha dates based on then current scientific models rather than a traditional computus. This initiative embarks upon a high-tech approach to the solar and lunar cycle applied to a determination of Pascha. Aleppo has considered this and correctly observes:

Quote
In recommending calculation of the astronomical data by the most accurate possible scientific means (as distinct, for example, from reliance on conventional cyclical tables or personal observation), the consultation believes that it is being completely faithful to the spirit of the Council of Nicea itself, which also was willing to make use of the best available scientific knowledge. We are fortunate that experts in astronomy have already provided these necessary calculations; they are conveniently presented in Synodica V (Chambésy - Genève, Les Editions du Centre Orthodoxe, 1981) 133 - 149.

Although not an unwarranted approach, is it advisable?

Here is an excerpt from the 1979 Chambésy meeting as published in Synodika V (1981) [original in French] 113-117:

Quote
ANNEX: RECENT SECRETARIAT EFFORTS TO REVIEW THE QUESTION OF THE COMMON CELEBRATION OF EASTER. by H.E. Metropolitan Damaskinos of Tranoupolis

... the Secretariat for the Preparation of the Holy and Great Council made contact with several astronomers who sent it notices and Tables concerning the exact determination of the Sunday after the first full moon following the vernal equinox (Astronomical Council of the Academy of Sciences of the U.S.S.R. – Prof. L.R. Mustel – , Astronomisches Rechen-Institut – Prof. T. Lederle – , U.S. Naval Observatory, Athens University Observatory – Prof. G. Contopoulos – , Geneva University Observatory – Prof. Marcel Golay –).

The astronomical data collected by the Secretariat have been made the object of study of a commission of astronomers who met at the Orthodox Center on February 3, 1979....

During this meeting two proposals were studied as to the determination of Easter Sunday. The first was developed by Dr. T. Lederle of the Astronomisches Rechen - Heidelberg Institute based on the meridian of Jerusalem – 35° 11' east of Greenwich – and for the years 1969-2500. The second by Prof. Georges Contopoulos of the observatory of the University of Athens based on the meridian of Greenwich and for the years 1970-2200.

The comparative study of the tables of Pascha made both by the congress and by the private studies of astronomers following the congress, led to the following conclusions:

1. that the extent of the tables of the Paschalion (constitution des tables de la pascalie) must be limited, i.e. until the year 2200.
2. that the proposal of Dr. T. Lederle as to the astronomical date of Pascha/Easter for the years 1969-2200 is accurate.

Dr. T. Lederle gives the astronomical dates of Easter for the years 1969 to 2500 ... The calculations are based on the Newcomb Table for the sun and those of Brown for the moon.

Lederle’s approach relied on generally accepted and, it appears, tabulated values and not new calculations per se. This is an acceptable and reasonable procedure. At that time what was considered high-powered electronic computing was not generally available and calculations were routinely done "by hand" (by people know as computers!). Even today (as I'll note in a future post) true state-of-the-art computations are the domain of super-computers and those who can afford them. Results are then stored in computer files of ephemerides [en.wikipedia.org] (diary or journal), raw data such as coordinates (positions) and velocities that can be used as needed such as predicting astronomical events, e.g. vernal equinox, full moon etc. Also note that although Lererle's dates are determined for 1969-2500, only those to 2200 are, in a sense, being certified, i.e. recommended.

Lederle’s source for the moon data, as stated, is Brown:

Brown's Tables [en.wikipedia.org]
Quote
Brown's Tables were adopted by nearly all of the national ephemerides in 1923 for their calculations of the Moon's position, and continued to be used with some modification until 1983....Eventually, in 1984, Brown's work was replaced by results gained from more modern observational data (including data from lunar laser ranging) and altogether new computational methods for calculating the Moon's ephemeris.[15]

Lederle’s source for the sun data, as stated, is Newcomb:

Newcomb's Tables of the Sun [en.wikipedia.org]]
Quote
Newcomb's Tables were the basis for practically all ephemerides of the Sun published from 1900 through 1983, including the annual almanacs of the U.S. Naval Observatory and the Royal Greenwich Observatory. The physical tables themselves were used by the ephemerides from 1900 to 1959, computerized versions were used from 1960 to 1980, and evaluations of the Newcomb's theories were used from 1981 to 1983.[2] The tables are seldom used now; since the Astronomical Almanac for 1984 they have been superseded by more accurate numerically-integrated ephemerides developed at Jet Propulsion Laboratory, based on much more accurate observations than were available to Newcomb.

By 1970 the astronomical community recognized the need for improved ephemerides, which are used to prepare national almanacs..., and the new system would go into effect for the 1984 edition of the ephemerides. "The majority of the resolutions were prepared and adopted by the General Assembly of the IAU at the 1976 and 1979 meetings."...The new fundamental ephemeris was prepared by the Jet Propulsion Laboratory and named DE200/LE200. It uses numerical integration.

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That "new fundamental ephemeris" calculation, DE200/LE200, is already rather old and has been continuously improved. The most recent (2020) updates are DE440 and DE441:

Quote
DE440[18]... The 114 Megabyte ephemeris files include the orientation of the Moon. It spans the dates 1550 to 2650. JPL started transitioning to DE440 in early April 2021.
DE441[18] was created in June 2020. This ephemeris is longer than DE440, -13,200 to 17,191, but less accurate. It is useful for analyzing historical observations that are outside the span of DE440.
Jet Propulsion Laboratory Development Ephemeris [en.wikipedia.org]

Here is a brief description of these Development Ephemeris (DE) files, how they are calculated, the model employed and how they are used:

Quote
Jet Propulsion Laboratory Development Ephemeris (abbreved JPL DE(number), or simply DE(number)) designates one of a series of mathematical models of the Solar System produced at the Jet Propulsion Laboratory in Pasadena, California, for use in spacecraft navigation and astronomy. The models consist of numeric representations of positions, velocities and accelerations of major Solar System bodies, tabulated at equally spaced intervals of time, covering a specified span of years....The JPL ephemerides have been the basis of the Astronomical Almanac since 1981's DE200. The 2018 Almanac was derived from DE430... Each ephemeris was produced by numerical integration of the equations of motion, starting from a set of initial conditions. Due to the precision of modern observational data, the analytical method of general perturbations could no longer be applied to a high enough accuracy to adequately reproduce the observations. The method of special perturbations was applied, using numerical integration to solve the n-body problem, in effect putting the entire Solar System into motion in the computer's memory, accounting for all relevant physical laws.

These data and software tools are made available to the public and researchers:

Quote
NASA's Navigation and Ancillary Information Facility (NAIF) was established at the Jet Propulsion Laboratory to lead the design and implementation of the "SPICE" ancillary information system. SPICE is used throughout the life cycle of NASA planetary science missions to help scientists and engineers design missions, plan scientific observations, analyze science data and conduct various engineering functions associated with flight projects.
About NAIF [naif.jpl.nasa.gov]

SPICE is subtitled “An Observation Geometry System for Space Science Missions” and is provided to the public :

Quote
The SPICE system is freely available to space agencies, scientists and engineers around the globe ... It is also available to the general public with the caveat that support from NAIF is VERY LIMITED.

SPICE deployment begins with production of a set of ancillary data. The SPICE system includes a software suite known as the SPICE Toolkit consisting of application program interfaces (APIs) that customers incorporate in their own application programs to read the SPICE ancillary data files and, using those data, compute derived observation geometry such as altitude, latitude/longitude, and lighting angles, and to also determine various kinds of solar system events....
SPICE [naif.jpl.nasa.gov]

It is the “various kinds of solar system events” that are of interest for determining Pascha. The current version of the SPICE Toolkit [naif.jpl.nasa.gov], Version N67, was released January 3, 2022. The toolkit is available for “several computing environments (platform/operating system/compiler).” It comprises a 1416 subroutine/function library SPICELIB [naif.jpl.nasa.gov], for manipulating data and performing calculations.

There are some other possible approaches (e.g. SOFA [iausofa.org]; VSOP [en.wikipedia.org]) that can be considered but I would say that these DE calculations by JPL are the best candidate to satisfy Aleppo's proposal "recommending calculation of the astronomical data by the most accurate possible scientific means."

The point is that there is more to this aspect of Aleppo's Proposal than may have been appreciated.

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DE441 would probably be of sufficient accuracy for computistical purposes.

I like the Aleppo proposal's use of the meridian of Jerusalem. But I continue to maintain that, instead of calculations of the full moon, we should establish a Babylonian-style lunar calendar based on the first visibility of the lunar crescent. In practice, some convenient substitute for the first visibility would be used, such as the moment when the moon achieves a 10% illuminated fraction (or some other convenient value.)

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Originally Posted by Mockingbird
DE441 would probably be of sufficient accuracy for computistical purposes.

I like the Aleppo proposal's use of the meridian of Jerusalem. But I continue to maintain that, instead of calculations of the full moon, we should establish a Babylonian-style lunar calendar based on the first visibility of the lunar crescent. In practice, some convenient substitute for the first visibility would be used, such as the moment when the moon achieves a 10% illuminated fraction (or some other convenient value.)

I agree. I have used DE441 for some preliminary 6 BC to AD 325 calculations (especially for around AD 30-33) and the full range (1550-2649) of DE440 for addressing the Aleppo proposal. Results to follow.

Less innovative than Aleppo's full moon would be Scripture's 14h of the observable-new moon simulated by a related calculated parameter and an "observation" time window. It seems 6 PM gets mentioned as the locus for the time. Since the equinox and new and full moon are (astronomically) defined by geometry, I've been looking at the Lunar phase [en.wikipedia.org] "expressed quantitatively using ... angles," for a luna 1 separation angle of 3-10%.

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As noted from the Chambésy meeting:

Quote
The comparative study of the tables of Pascha made both by the congress and by the private studies of astronomers following the congress, led to the following conclusions:

1. that the extent of the tables of the Paschalion (constitution des tables de la pascalie) must be limited, i.e. until the year 2200.
2. that the proposal of Dr. T. Lederle as to the astronomical date of Pascha/Easter for the years 1969-2200 is accurate.

Dr. T. Lederle gives the astronomical dates of Easter for the years 1969 to 2500 ...

Why the limitation up to year 2200? The report notes three years where the Easter date differs because of the different locations, UTC (Greenwich, 0 offset) and Jerusalem, UTC- (35° 11'). These are differences in the day of the full moon: When it is late Saturday at Greenwich England it can be early Sunday in Jerusalem. These are expected differences since, when they occur, the new and full moon (and the equinox) occur at the same instant for everyone over all the earth, the difference being what time is on your clock when they happen. Although not specified in the Chambésy report or in the Aleppo Proposal, the results are for a “midnight-to-midnight day” (see this as noted in Revised Julian calendar [en.wikipedia.org]).

Lederle does question one of his own results, for the year 2468. In his detailed table, he gives the full moon, TABLE V, p 148 as Sunday APR-8 0h 1m which bumps Easter to the following Sunday, APR-15. Gregorian and even Julian Easter are in agreement (Passover noted as APR-8). In his summary table however, TABLE I p 121, he gives the same date but notes “DATE INCERTAlNE, PROBABLEMENT 8.4 (2468)”. The 1 minute past midnight is a really close call but why propose that Easter is probably 8.4, APR-8?

I did the calculations using DE440 and SPICE and get (giving computer not actual precision) for Jerusalem, UTC-(35° 11'):

2468 APR 08  00:32:20.050749    SUN    FULL MOON
JD2000 = 2622576.52325505111367     Phase=97.82%

So he really had a buffer of over 32 minutes and was correct to go with the APR-15 date for Easter.

The proper way to check Lederle (his reported1979-1981 values) against DE440 is to compare times of the full moon and vernal equinox. Lederle gives these full moon and vernal equinox values; they are a lot of data that is not available in digital form. I have checked his Pascha/Easter results, however, for the total years he reported, 1969-2500, and did find two years of disagreement:

[Linked Image]

Lederle also gives the Gregorian and Julian dates:

2214    MAR-27(G)    MAY-1(J)
2319    APR-06(G)    APR-13(J)

These are beyond the imposed limit of year 2200.

Given virtually instantaneous communication, how soon do we need to know Pascha and the feasts tied to it in advance? Why not follow a variation of the primitive practice: The Church announces the next Pascha soon after (immediately ?, Ascension ?, Pentecost?) the conclusion of the last? Knowing no more than 100 years should satisfy anyone's functional curiosity.

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I have characterized this calendar/paschalion issue as comprising theology and technology. A substantial amount of scientific/astronomical advancement took place from the time of Nicaea, AD 325 to the Gregorian revision, AD 1582. I recommend the writings of C. Philipp E. Nothaft and Alden A. Mosshammer to anyone interested in this development (primarily) in the West.

There are three quantities in particular that are important in that history and they are still relevant today: (1) the vernal/spring equinox tropical year; (2) the mean tropical year; (3) the synodic month. Concerning (1) and (2) for instance, see Calendar-Easter [byzcath.org], leap year specification; (3) determines the lunar cycle, the lunar month as prescribed in the Old Testament verses for Passover; see posts in this thread.

A problem I have found is that numbers given for those quantities are poorly documented as to their source, and if that is given, then the method and database used for the determination of the events considered. Here I document as a summary typical events evaluated for the full range of the JPL DE440 data, AD 1550-2649, using the SPICE Toolkit:

[Linked Image]

The present year 2023 is provided as an example (2023 JPL DE440.pdf) of the data for each of the years included in the average values for the designated "EVENT."
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Did anyone feel different or notice something out of the ordinary about yesterday? Probably not, and that is the point.

Specifically yesterday 2023 MAR 20 at 21:13 UTC,* UTC-4 = EDT 5:13 PM, Eastern Daylight Time (adjust for your time zone). It was that instantaneous, global event, the astronomical vernal equinox:
Quote
The vernal equinox has a precise astronomical definition determined by the actual apparent motion of the Sun as seen from the Earth. It is the precise time at which the apparent ecliptic longitude of the Sun is zero … This precise time shifts within the civil calendar very slightly from year to year.
-- United States Naval Observatory
This is the definition also noted in Synodica V (1981) for the 1977 Chambésy meeting (see attached Equinox and New Moon, 1) , and then incorporated into the 1997 Aleppo proposal -- very precise but doesn't exactly warm the heart or engage the senses. Most of the times we are satisfied to be aware that "yesterday" (though not the same calendar day for everyone) was the first day of Spring.

That sense of the day and not the instant is the granularity of the first two "phases," the Biblical and the Computus, relative to the Modern, which looks at the instant. The Biblical approach was based on direct observations of the environment, specifically the aviv, the new barley as specified in Scripture. For me, eastern US just north of Baltimore MD, my forsythias are a reliable and striking indicator that Spring is near or here.

So it's Spring but what about the moon? Information available online about astronomical events can be sketchy. When Is the First Day of Spring 2023? [timeanddate.com] and Moonrise, Moonset, and Moon Phases, March 2023 [timeanddate.com] seems to be a good site, although they do not appear to give the source of their data. One in particular that I recommend is Solstices and Equinoxes: 2001 to 2100 [astropixels.com]; he references either the method (Astronomical Algorithms by Jean Meeus ) or database (JPL DE405 planetary and lunar ephemerides) used.

Unlike the equinox, the moon is a very prominent observable. The moon has been waning since being full on MAR-07 and has now gone dark, so it's time to start looking for that first crescent of the new moon at the beginning of the biblical day, in the early evening in the west where the sun has just set. This, according to Scripture, will mark the beginning of the lunar month (Aviv - Nisan) and the beginning of the liturgical year: the moon of Pesach/Passover; the moon of Pascha/Easter. For Jerusalem at the longitude used by Lederle at Chambésy (using JPL SPICE toolkit and DE440) :

2023 MAR 07   15:33:29      TUE     FULL MOON before equinox so too early to be the Paschal moon
2023 MAR 20   23:34:26      MON     VERNAL EQUINOX
2023 MAR 21   20:09:03      TUE     NEW MOON JD2000†=2460025.34; Astronomical Luna 1
???          Observed new moon crescent giving Biblical Luna I
???           Biblical Luna XIV (14th of the moon, inclusive)
2023 APR 06   07:14:30       THU    FULL MOON JD2000=2460040.80; Astronomical Luna  Δ = 15.46 days

Going by Aleppo using the full moon gives:

2023-APR-09      SUN       PASCHA

This is also Gregorian Pascha; Julian Pascha is a week late, APR-16 (APR-03 on Julian Calendar).

Both Jew and Gentile eventually adopted the "rule of the equinox" as a discriminator for determining the the Passove/Paschal Moon. Over time they both switched to a computus for solar and lunar timings.

While using the astronomical full moon is acceptable, the 14th of the moon was retained by the computus as conforming to the directive of scripture. The question is how to reasonably model that timing using the sophisticate computations available: % of phase/elongation observed for some time window, e.g. ≥ 5-10% at 4-8 pm (see attached Equinox and New Moon, 2, regarding 6 pm )?

So this is a practical opportunity for us to get close to nature and experience the biblical rhythm for Pascha: Keep an eye for that first sighting of the lunar crescent and let us know when and where it was observed.


---------------------------------------------------------------------------------------------------
* based on DE440; see previous post 2023 JPL DE440.pdf
† JD2000: days since Julian Date of 2000 JAN 1.5
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I live in the US midwest, and I observed the new crescent on the evening of March 22, right at the beginning of Eastermonth (as it was called of old) in the Gregorian lunar calendar.

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I missed it on MAR 22 but saw it on the 23rd 19:53:58 EDT. It was quite elegant but the picture distorts the sleekness, making the luminosity appear twice the size. It had rained and I do not have a convenient view of the western horizon. Based on my observation, however, I figured it could have been visible the previous evening. Now working through what was the situation in Jerusalem.
[Linked Image]

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Christ is in our midst!!

I have a question. What would a change to the calculation of the date of Pascha do to the Ceremony of the Holy Fire that always appears on the Orthodox Pascha in the Church of the Holy Sepulcher in Jerusalem? The Holy Fire has appeared for centuries in the Tomb of Christ at Orthodox Pascha and marks the beginning of their celebration.

I once had the opportunity to speak to a Russian bishop who had been present at one of those Paschal celebrations. He said the Holy Fire does not burn a person. It is a blue flame and very bright. There are YouTube videos of celebrations during the past number of years.

So, what happens if everyone abandons the Julian Paschalion?

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They will use lighters like they do now. Several bishops and priests, Greek and Armenian, have admitted the fire is started by natural means.


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Originally Posted by theophan
Christ is in our midst!!

I have a question. What would a change to the calculation of the date of Pascha do to the Ceremony of the Holy Fire that always appears on the Orthodox Pascha in the Church of the Holy Sepulcher in Jerusalem? The Holy Fire has appeared for centuries in the Tomb of Christ at Orthodox Pascha and marks the beginning of their celebration.

I once had the opportunity to speak to a Russian bishop who had been present at one of those Paschal celebrations. He said the Holy Fire does not burn a person. It is a blue flame and very bright. There are YouTube videos of celebrations during the past number of years.

So, what happens if everyone abandons the Julian Paschalion?
I'd expect the Ceremony of the Holy Fire would occur whenever it is liturgically observed. It isn't as though God has a Julian calendar that must be consulted. See also this post.

I have proposed in previous posts that the sense of the typicon, ordo, liturgical year, etc. is a Christian form of the Moed, the appointed time or place so prominent in the Old Testament -- traditional and important to us for our liturgical rhythm but not intrinsic The central act and command to "Do this..." is not limited or confined in time and place. So there is no inherent mandate for the Church to have an annual observance of Pascha as the Christian Pesach/Passover. If the Church were to decide to have such an annual observance in an arbitrary manner, by some made-up rule, it would be inventing worship, "the mystery of devotion." This in not what the Church did, of course, rather it walked the natural path of what I would write as Tradition -- not to be seen as TRADITION or traditions. And so we have a two-fold witness to this based on the timing of Passover: (1) The Council of Nicaea and its historical progression to a realized eschatology in Sunday as the Lord's Day; (2) The Quartodecimans in their faithful (Johanine) observance of the Passover moed as prescribed, with the impending second coming, an imminent eschatology. (More on this but I have to stop for now.)

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They will use lighters

If that is so, how do people claim that they have put their hands in the flames and not been burned?

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Originally Posted by Fr. Deacon Lance
... the fire is started by natural means.

Reading this made me realize, as I had not before, the (obvious) link with the Roman Paschal vigil, Sabbato Sancto (Vigile pascale). There the lighting of the new fire is a special rite that begins the vigil. In the old days (reform of Pius XII) as I recall, the new fire was struck from flint at the back of a darkened church. Using a stylus the priest inscribed a cross, the year, and the two Greek letters Alpha and Omega in the Paschal Candle and pressed into the inscribed cross five large "grains," pieces of incense. The lit Paschal Candle was then processed into the church carried by the Deacon, who stopped three times and chanted Lumen Christi, Light of Christ, with response Deo gratias. Light from the candle was progressively distributed to the priest (clergy?), then to the people until reaching the front of the church. The Deacon then chanted the Praeconium paschale "Exsultet" [youtube.com], the The Easter Proclamation [youtube.com].

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Originally Posted by theophan
Quote
They will use lighters

If that is so, how do people claim that they have put their hands in the flames and not been burned?

Have you ever watched the videos? People pass their hands through the flame just as scouts do at a campfire. Not really a big deal.


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Can't say I have. I just have second hand anecdotes.

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I would propose that whatever the understanding of the "Holy Fire," it is not a determining factor for how Christians should reach agreement on a timing for an annual feast of Pascha.

Originally Posted by ajk
And so we have a two-fold witness to this based on the timing of Passover: (1) The Council of Nicaea and its historical progression to a realized eschatology in Sunday as the Lord's Day; (2) The Quartodecimans in their faithful (Johanine) observance of the Passover moed as prescribed, with the impending second coming, an imminent eschatology. (More on this but I have to stop for now.)

Quite by chance I have been looking at (mainly YouTube) a particular form of Messianic Judaism (It and its relation to Christianity and especially syncretic-Christianity=Protestantism would be its own thread). As I see it, just as Protestantism discovered "true Christianity" some 1500 years later by examining the Scriptures (that were provided for them by the Church they deny as legitimate), so now some 2000 years later the Messianic Jews do the same but retaining a distinctive Jewish/Hebrew Bible identity. In a sense, had the Church followed the path of the Quartodecimans we would today be the true Messianic Judaism, having descended directly from the Apostolic Tradition and witness rather than, being redundant to make the point, Messianic Christians.

The theological link, especially in its liturgical form, are the Quartodecimans. Historically I see them as an important witness of the Church taking a decisive theological path that resulted in the first day of creation, Sunday (also seen as the eighth day), rather than the Sabbath, as the preeminent day of the Lord.

I and others have stressed that our hope for a unified observance of the annual feast of Pascha must remain true to the OT prescription given for the Passover and also incorporating the theology of Sunday as the Lord's Day. Even so, consider this misunderstanding and the prominence of the Moed (the appointed time):

Quote
Holidays

Christians observe holidays that are disconnected from the Bible, like Christmas and Easter Sunday. While Christmas celebrates the birth of Jesus (Yeshua) and Easter Sunday celebrates His resurrection, the timing of these holidays historically corresponds with pagan holidays. Messianic Jewish people also observe the resurrection of Yeshua from the dead, believing His resurrection is evidence of His finished work in conquering sin and death for us. . Messianic Jews generally celebrate Yeshua’s resurrection on the first day of the Week of Unleavened Bread, also called Passover. Additionally, Messianic Jews observe the traditional Jewish holidays and feasts such as Purim, Chanukah, the Day of Atonement (Yom Kippur), Feast of Trumpets (Rosh Hashanah), and the Feast of Booths (Sukkot).
Difference Between Messianic Judaism and Christianity [jewishvoice.org].

I also repeat See this thread 04/21/22.:
Originally Posted by ajk
The proper correspondence of OT feasts with our liturgical tradition, along with important cautions, is discussed by Fr. Sebastian Carnazzo, Rejoice All ye Peoples: The Feasts of the Old Testament [godwithusonline.org] at God With Us, a presentation that I highly recommend.

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Originally Posted by ajk
While using the astronomical full moon is acceptable, the 14th of the moon was retained by the computus as conforming to the directive of scripture. The question is how to reasonably model that timing using the sophisticate computations available: % of phase/elongation observed for some time window, e.g. ≥ 5-10% at 4-8 pm (see attached Equinox and New Moon, 2, regarding 6 pm )?

So this is a practical opportunity for us to get close to nature and experience the biblical rhythm for Pascha: Keep an eye for that first sighting of the lunar crescent and let us know when and where it was observed.

Originally Posted by Mockingbird
I live in the US midwest, and I observed the new crescent on the evening of March 22, right at the beginning of Eastermonth (as it was called of old) in the Gregorian lunar calendar.
Originally Posted by ajk
I missed it on MAR 22 but saw it on the 23rd 19:53:58 EDT.

For my observation UTC=EDT+4; IST=UTC+2,
where UTC=Universal Coordinated Time,
EDT=Eastern Daylight Time and
IST = Israel Standard Time, giving for what I saw (previous picture)
IST 24-MAR 0200, moon phase = 16.6%.

So, going with Mockingbird's earlier sighting, for Central Daylight Time, say 6 pm, UTC=CDT+5=18+5=23. The Synodika Jerusalem offset is 2.3456 hrs but for this estimation, just using timezone differences, UTC+2=25 hr or 1 am on 23-MAR, IST; my calculation of the phase is 9.1%. Going to the start of that Biblical day in Jerusalem, moonset [timeanddate.com] was 6:46 pm, 22-MAR; my calculated phase at 19:00 = 7.3%. Taking that as Biblical B-luna I (Astronomical luna 3) produces a B-luna XIV, Biblical Passover on 2023-APR-04 18:00 TUE 89.97 % to 2023-APR-05 17:59 WED 96.30 %. This is the day the Pesach is sacrificed and then eaten around 2023-APR-05 17:59 WED. My calculated astronomical nearest "full moon" is 2023-APR-06 07:00 THU 99.11 %.

Though it need not be the case, this simulation of the biblical timing is in agreement with the traditional (Rabbinic) Passover which is determined by a computus, similar to the approach used for the Julian and Gregorian Paschalia. "Passover 2023 will be celebrated from April 5 to April 13. The first Seder will be on April 5 after nightfall...";When Is Passover? [almanac.com] and, "The Passover begins on the 15th day of the month of Nisan, ... The 15th day begins in the evening, after the 14th day, and the seder meal is eaten that evening."Date and duration [en.wikipedia.org] (This conflates somewhat the Passover on the 14th and the first Day of Unleavens on the 15th.) There are additional Rabbinic delay or postponement rules, the deḥiyyah molad [en.wikipedia.org], that also shift or limit the days when Passover can occur; this is another reason that the often heard, "of course Easter must be after Passover" is uninformed. Why would Christians after the mandate arising from Nicaea feel the need to embrace Rabbinic rules that go beyond the prescription given in Scripture and then be bound by them?

The purpose/result of this exercise is twofold:

(1) to see how it all works just following the observation of nature method of scripture.

(2) If I got all the adjustments and estimates right, it also shows that requiring after the full moon rather than after the 14th of the moon is an added (modern) constraint that is legitimate but goes beyond the requirements of the scriptural prototype.

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Christ is in our midst!! ajk,

You definitely know this inside and out, brother.

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A map showing lunar crescent visibility for the this year's Eastermonth/Rabbinic Nisan/Islamic Ramadan can be found for the time being at


https://www.rmg.co.uk/stories/topics/how-sight-new-crescent-moon

According to that map, the new crescent would have been visible from Jerusalem if the skies were clear.

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Originally Posted by Mockingbird
A map showing lunar crescent visibility for the this year's Eastermonth/Rabbinic Nisan/Islamic Ramadan can be found for the time being at
https://www.rmg.co.uk/stories/topics/how-sight-new-crescent-moon
According to that map, the new crescent would have been visible from Jerusalem if the skies were clear.
This is a very good resource and it confirms my calculation simulating a new moon sighting at Jerusalem. Royal Museums Greenwich and the HM Nautical Almanac Office have provided a real service for Islam and us. I was looking for a Jerusalem based Jewish connection that might still rely on sighting but did not find one.

The Royal Museums Greenwich link is a very nice primer on the new moon and sighting it. It makes several lunar-calendar points relevant to the relationship of our Christian luni-solar calendar computus-Paschalion, Pascha, with the biblical moon of Aviv/Nisan. Christians and Jews incorporate the solar aspect and this confines Passover and Pascha to a set seasonal occurrence unlike purely lunar Islam, where Ramadan etc. move throughout the year at the rate of a bit more than one moon/month every three years.

From the link:

Quote
If you want to try and sight the Moon, it's easy. All you need is a clear view of the western horizon where you can see the sunset; this is because the new crescent Moon always emerges near the sunset.
Just to note that the "emerging" moon is near its setting. By the time I decided that I should retake the picture I posted, the moon was gone from my view. Basically the sun must first set so it is just dark enough that the slightly illuminated moon is seen just before it also sets. See Sighting the Crescent Moon [youtube.com]. If the observed, biblical (new) moon is observed 11-15 hours (What Is A New Moon? [youtu.be]) after the astronomical (= conjunction), then the delay for possible sighting would be no more than one day.

All this is part of our getting close to nature, God's creation, through experience and knowledge giving us, through our efforts, our liturgical τάξις [en.wiktionary.org], aka the calendar.

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Quote
All this is part of our getting close to nature, God's creation, through experience and knowledge giving us, through our efforts, our liturgical τάξις [en.wiktionary.org], aka the calendar.

That is why I will resist any scheme to place Easter on a fixed Sunday in April, such as the first Sunday after the second Saturday in April.

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The western church must agree the resurrection of Jesus
Falls after the Passover and the full moon our chapel held
The resurrection of Jesus on the same date as the Eastern Orthodox Church
Because we know it is the correct date the Church of Rome and all Protestant churches have held the resurrection feast. Before or during the Jewish holiday of.
Passover and we know that is wrong it has to be after the full moon after the Passover holiday and the spring exioinox if I am not mistaken must come first before celebration christs resurrection feast

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Read the article linked in Re: Calendar-Easter.

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"Hands Off Easter! [crisismagazine.com] There's a movement afoot to fix a common date for Easter by 2025. It's a movement fraught with problems."

This is an interesting and refreshingly candid appraisal from a Catholic perspective (he has some minor technical details, however, that aren't quite right). As I lamented earlier:
Originally Posted by ajk
It seems there is very little if any initiative by the Catholic Church in advocating the calendar and Paschalion that it initiated. To the extent this is so it is very unfortunate: the inability or unwillingness of the Catholic Church to offer a real service to the truth by standing up for and presenting the advantages and legitimacy of the Gregorian reform of 1582 and its calendar and Paschalion. The journey begun at Nicaea in 325 could properly, that is in the spirit and details of the Nicaean norm accepted by all, end with the adoption of the Gregorian Paschalion in 2025. This is not just idle talk, hyperbole, triumphalism or flamboyant rhetoric. It is eminently defendable and the Catholic Church should be taken to task for not advocating the Gregorian approach on its own merits, at least for the present and some considerable future time. The study Proceedings of the Vatican Conference to commemorate its 400th Anniversary, 1582-1982 [casinapioiv.va] should have a prominent place in the deliberations of TCDE2025.
Post #421473 (09/11/21)

More recently I wrote about relieving Catholics of any appearance of leadership or responsibility and an example for achieving unity above all else.

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Here is another analysis,Universal Date for Easter (Pascha): Worthwhile Innovation in the Annals of Christianity? [academia.edu], also from a Catholic perspective: Fr. Christiann Kappes is (2015-present) Academic Dean and Professor of Philosophy and Theology, SS. Cyril and Methodius Byzantine Catholic Seminary, Pittsburgh, PA .

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I recommend to all a remarkable book: The Ordering of Time : From the Ancient Computus to the Modern Computer [German original: ZEIT UND ZAHL IN DER GESCHICHTE EUROPAS (TIME AND NUMBERS IN EUROPE'S HISTORY) ] by Arno Borst. Internt Archive: The ordering of time [archive.org]

Also a followup webinar, a CEMES Open Public Lecture on the common celebration of Pascha :ON THE WAY TOWARD THE 1700TH ANNIVERSARY OF THE 1ST ECUMENICAL COUNCIL [youtube.com]

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I also recommend Easter, Why Are You Like This? On the Timing, Name, and Symbols of Easter [academia.edu]. K R Harriman. Published 2020. This is the best primer (with minor caveats I have of nuance and interpretation) I've encountered that objectively covers the date and observance of Easter -- general but thorough. It gives the big picture quite well in 40 very readable pages, 26 concerned with "why Easter is celebrated when it is," the remainder with "how Easter got its name in English and how this name compares with its name around the world" and "why Easter has certain symbols attached to it, such as the rabbit/hare and the egg" (quotes from page 1).

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Originally Posted by ajk
I also recommend Easter, Why Are You Like This? On the Timing, Name, and Symbols of Easter [academia.edu]. K R Harriman. Published 2020. This is the best primer (with minor caveats I have of nuance and interpretation) I've encountered that objectively covers the date and observance of Easter -- general but thorough. It gives the big picture quite well in 40 very readable pages, 26 concerned with "why Easter is celebrated when it is," the remainder with "how Easter got its name in English and how this name compares with its name around the world" and "why Easter has certain symbols attached to it, such as the rabbit/hare and the egg" (quotes from page 1).
I found the article to be good too, though I have a few reservations. For example, he seems to think that the Audians were Quartodecimans, when in fact they were Protopaschites.

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Christ is in our midst!!

I have followed the threads about establishing a new, common date for Pascha and have a recurring question that seems, IMHO, not to be addressed.

It seems to me that the discussion is being done between the Catholic and other Apostolic Churches. Am I correct here?

Has anyone of those studying this topic considered the thousands on thousands of ecclesial communities that do not fit this definition? Currently many of our mainline Protestant communities are splitting over the issues of marriage, sexuality, ordination of non-conforming clergy, and what the Faith is about these issues, as well as what authority to point to on these issues.

The word authority should raise further questions. Many of these communities do not recognize authority outside their particular ecclesial organization, and even have broken up over that issue. Then there are the independent communities that look no further than themselves.

How will a common date of Pascha come out of all this? We can discuss this academically until the Second Coming, but the reality is that the kind of unanimity needed for putting this into practice seems to me to be almost out of reach.

Am I missing something?

Bob

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Originally Posted by Mockingbird
Originally Posted by ajk
I found the article to be good too, though I have a few reservations. For example, he seems to think that the Audians were Quartodecimans, when in fact they were Protopaschites.
I was not acquainted with the Audians. Wikipedia's Audianism [en.wikipedia.org] has them as Quartodecimans but then isn't sure at the end under Academic knowledge [en.wikipedia.org]

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Originally Posted by theophan
Christ is in our midst!!

I have followed the threads about establishing a new, common date for Pascha and have a recurring question that seems, IMHO, not to be addressed.

It seems to me that the discussion is being done between the Catholic and other Apostolic Churches. Am I correct here?
The need for calendar reform is solely in the East but the solution is an East-West endeavor. The EP is leading the way but the WCC is a concerned and active participant as is the Catholic Church.

Originally Posted by theophan
Has anyone of those studying this topic considered the thousands on thousands of ecclesial communities that do not fit this definition? Currently many of our mainline Protestant communities are splitting over the issues of marriage, sexuality, ordination of non-conforming clergy, and what the Faith is about these issues, as well as what authority to point to on these issues.

The word authority should raise further questions. Many of these communities do not recognize authority outside their particular ecclesial organization, and even have broken up over that issue. Then there are the independent communities that look no further than themselves.

Some communities I presume could care less or may consider a liturgical year an aberration. The only way forward is for those who can agree to do so, even for the Orthodox at the risk of schism. If adherence to Nicaea and Scripture is necessary, as the EP and others profess, is there not then a moral obligation for them to adhere, even if a church like the Russion Orthodox simply refuses?

Originally Posted by theophan
How will a common date of Pascha come out of all this? We can discuss this academically until the Second Coming, but the reality is that the kind of unanimity needed for putting this into practice seems to me to be almost out of reach.

Am I missing something?

Going back to my OP, the mandate proposed by the EP's Met. Job was to "educate." What's been done, what is the progress? That's the motivation for the academics but you are right, where is it in the mind and heart of the faithful and the church leaders? In previous posts I've linked two webinars from the CEMES [cemes-en.weebly.com] (CENTER OF ECUMENICAL, MISSIOLOGICAL AND ENVIRONMENTAL STUDIES) but who and how many are they reaching? Met. Job clearly states the problem and Emer. Prof. Petros Vassiliadis speaks pointedly and passionately about the needed solution. Both of them, as does the WCC's Aleppo Statement, advance the Orthodox solution, and as I've said, it is a noble even heroic effort that I myself endorsed; I am now convinced, however, that it -- using detailed astronomical calculations of the full moon -- is NOT the proper remedy for the churches. There is also OLC XXVI (Orientale Lumen Foundation [olfoundation.net]) and it's proceeding Easter Together: An Ecumenical Exploration for a Common Date [ecpubs.com]. Are here other current efforts on the pursuit of a common date?

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I enjoyed A perfect lunisolar calendar [academia.edu]. Is the first day of the lunar month the day after the mean conjunction, as in the Gregorian calendar? And will this approach allow Easter on March 21st?

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Originally Posted by Mockingbird
I enjoyed A perfect lunisolar calendar [academia.edu]. Is the first day of the lunar month the day after the mean conjunction, as in the Gregorian calendar?
Thanks.

Initially using Eqn. (1), Luna1 is the mean conjunction on the same day as the equinox (E) and gives Table on p 22, with some L14-E<0 values. This is adjusted to get the desired L14-E≥0, i.e. the 14th of the moon on or after the equinox, Table on p23. This is still for the mean conjunction as L1. I'm working on the best way to model L1 to match the observable moon. What is the correct offset and how is it introduced? This is a section not in the paper as I was and am still working on it, in particular that I'm not introducing improper adjustments or offsets. Here is the needed section 7 addition, p25, that addresses that adjustment; I'm still checking it out:


7. Comparison for Easter, Pascha

i. Kalendar adjustment for first observed crescent vs conjunction

This offset must be incorporated directly into Eqn. (1) since that equation determines the moon of Aviv as being the first observed moon whose 14th day is on or immediately after the equinox. Consequently, the observed offset dobs (days) must be added to Eqn. (1) giving

Y_f = ( L m+ dobs ) / s , L=1, 2, 3…n; ( Y, L: ∈ ℤ+ )

Though not optimized, the value of dobs = 1.366 days was determined by several trials to give the best match to the JPL values for Easter.

ii. Kalendar, JPL DE440, Gregorian Comparison

For the 1100 years 1550-2649, in determining the date of Easter:
JPL and Gregorian agree 997 / 1100 (103 different)
JPL and Kalendar agree 1051 / 1100 (49 different)

                                  Agree            Total
                                                   ____________
                    K&J&G:   985        985     89.55 %
Additionally:
                         K&J:     66        1051    95.55 %
                        J&G:      12          997    90.64 %
                        G&K:      34       1019    92.64 %

Originally Posted by Mockingbird
And will this approach allow Easter on March 21st?

Yes, it does. This is in part because the Gregorian Paschalion is predicated on a fixed March 21 equinox which is not the case. This is also seen in the JPL results against which the Kalendar is calibrated. Here is an instance where they show this happening in the past:

JPL

1666 MAR 20 10:50:23.629494 SAT VERNAL 2329632.95213906420395
1666 MAR 20 20:13:50.916859 SAT FULL MOON 2329633.34342711232603
1666-MAR-21 SUN PASCHA

So it's the chosen calendar to which the Kalendar is synchronized that moves because of its leap-year rule rather than the continuous adjustment of Kalendar. Also the Gregorian Calendar's leap year rule and its ratio's mismatch (p18) can move it's March 21 enough off the "true" value dictated by the mean values of the synodic month and vernal equinox year of the Kalendar. Here are the Easter before March 22, AD years predicted by Kalendar until the first MAR-20 Easter in 4585:
   83-03-21 SUN
  455-03-21 SUN
1294-03-21 SUN
1666-03-21 SUN
2038-03-21 SUN
2877-03-21 SUN
3097-03-21 SUN
3249-03-21 SUN
3469-03-21 SUN
3621-03-21 SUN
3784-03-21 SUN
3841-03-21 SUN
4088-03-21 SUN
4156-03-21 SUN
4213-03-21 SUN
4460-03-21 SUN
4528-03-21 SUN
4585-03-20 SUN
Of the two years within the JPL's range, 1666 agrees with Kalendar but for 2038, JPL's Easter is a week later on 03-28, and for the Gregorian Paschalion it is 04-25. Of course Kalendar is based on constant values for the vernal equinox year and synodic month, here determined from the JPL data 1550-2649 which can change over time. Kalendar does not know named months of some number of days; it counts events continuously by days, just like the Julian Date convention Julian Date [aa.usno.navy.mil].

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I reiterate:

Originally Posted by ajk
Going back to my OP, the mandate proposed by the EP's Met. Job was to "educate." What's been done, what is the progress? That's the motivation for the academics but ... where is it in the mind and heart of the faithful and the church leaders? In previous posts I've linked two webinars from the CEMES [cemes-en.weebly.com] (CENTER OF ECUMENICAL, MISSIOLOGICAL AND ENVIRONMENTAL STUDIES) but who and how many are they reaching? Met. Job clearly states the problem and Emer. Prof. Petros Vassiliadis speaks pointedly and passionately about the needed solution. Both of them, as does the WCC's Aleppo Statement, advance the Orthodox solution, and as I've said, it is a noble even heroic effort that I myself endorsed; I am now convinced, however, that it -- using detailed astronomical calculations of the full moon -- is NOT the proper remedy for the churches. There is also OLC XXVI (Orientale Lumen Foundation [olfoundation.net]) and it's proceeding Easter Together: An Ecumenical Exploration for a Common Date [ecpubs.com].

Regarding this intricate and long-lasting, yet very concrete issue --The Calendar -- it looks like 2025 will be another missed opportunity. The status quo is a disgrace that we Christians have de facto accepted. There is no recent, new discussion of the topic among the decision makers. What is needed is not just discussion but real, productive debate. I dread the prospect of a convenient, feel-good, expedient, poorly informed decision. Some are pointing out the issues, asking the needed questions, raising the concerns:

The Harvest Moon Is Christian [catholic.com]
Scripture and Celestial Mechanics: ...le Date for Celebrating the Resurrection [adoremus.org]
Hands Off Easter! [crisismagazine.com]
A “Common” Easter [thecatholicthing.org]
On Rome’s Push for a ‘Common’ Date for Easter [newoxfordreview.org]
Towards a Common Date for Easter? [wherepeteris.com]

Who is listening? What is being done?

Consider this from 2009-2013 as an example of worthwhile talk but ask what was the result, where's the progress?


Ukrainian Catholic University Organizes Seminar on Easter Date

Last Updated: 19 February 2013

19.05.2009, [12:51] // Conference //

On 15 May 2009 the international seminar “A Common Date of Easter – Possible: The 1997 Aleppo Consensus” was held at the Ukrainian Catholic University (UCU) in Lviv. The participants considered the recommendations of the meeting in Syria concerning a common date of Easter to be acceptable for all Christian churches of both the East and West today.

At the same time, the speakers accented on the fact that the main problem lies not in deciding the calculations but in the lack of trust between the different Christian denominations due to long division.
The aim of the seminar, as the organizers mentioned, was to inform the broader public and to discuss “the good news concerning the consensus which Christian churches at Aleppo have achieved for the common celebration of Christ’s resurrection,” At the same time, it intends to raise the level of trust between Christian confessions.

According to the words of the organizer of the seminar, the director of UCU’s Institute of Ecumenical Studies, Dr. Antoine Arjakovsky, the seminar in Lviv is the first such meeting of this character after the consultation in Aleppo. He stressed that it was very important that the representatives of all of the confessions which participated in the seminar and also representatives of the World Council of Churches and Pontifical Council for Promoting Christian Unity reach an agreement concerning the proposals of Aleppo that they are the most acceptable for having one date of Easter.

In the 20th century, Roman Catholic and Protestant churches of the West were even ready to accept a fixed date of Easter on the second Sunday of April, presuming that such a proposal were to find agreement among all Christian churches. Responding to this, a commission from the Orthodox churches, which was formed with the intention of giving such a response to this proposal, declined the idea of a fixed date of Easter after the proposal was given at a consultation in 1977 in Chambesy. This decline on behalf of the Orthodox commission came due to the fact that it would be in contradiction with the ancient method of calculating the date of Easter. All of the members expressed their desire to calculate the feast of the resurrection according to the rules of the Nicene Council that mandates that Easter is to be celebrated on the first Sunday after the full moon following the vernal equinox in accord with modern, astronomical data.

Responding to this, the World Council of Churches and the Middle East Council of Churches, by the invitation of the Syrian Orthodox Church, organized the 1997 Aleppo consultation where the theologians of all of the represented churches accepted the decision of the Orthodox conference and decided that the most acceptable and traditionally rooted method of calculating the date for the celebration of Easter would be following the norms of the Nicene Council and that the celebration of Easter would take place on the first Sunday after the full-moon following the vernal equinox using the calculations of modern, astronomical data. The consultation also recommended that the calculation be made on the basis of the Jerusalem meridian.

Dr. Antoine Arjakovsky emphasized that it is an important fact that these proposals of the seminar were supported by the major Christian churches of Lviv. During the meeting, formal remarks from Metropolitan Andriy (Horak) of the Lviv-Sokal Metropolitanate of the Ukrainian Orthodox Church-Kyiv Patriarchate; Archbishop Makary Miletich of the Lviv Archeparchy of the Ukrainian Autocephalous Orthodox Church; Archbishop Ihor Vozniak of Lviv of the Ukrainian Greek Catholic Church; Rev. Dymytro Kolesnyk, pastor of Hosanna Church and director of the Youth Christian Association of Lviv; Rev. Roman Solovij, representative of the Evangelical Churches of Ukraine, and rector of the Lviv Theological Seminary; Rev. Mikhailo Mokienko, a representative of the Evangelical Churches of Ukraine and dean of the Dnipropetrovsk Bible College; and the administrator of the Armenian Cathedral in Lviv, Father Tadeos Gevorgian.

Expressing joy that such an important theme had been raised in the seminar, Metropolitan Andriy Horak mentioned that such a detailed answer from the Orthodox representation concerning the Aleppo proposals could be received only after a Pan-Orthodox consultation and, eventually, a council. It is worth mentioning that Fr. Milan Zust, S.J., representative for the Pontifical Council for Promoting Christian Unity, said that the Roman Catholic Church is waiting for a response from the Orthodox churches and he thinks that if the Orthodox would accept the Aleppo recommendations, then there would be no problems with establishing one, common date of Easter. If some remarks would come from the Orthodox representation or if they were to propose another variant, then the question would definitely need to be reviewed.

Dr. Konstantine Sigov, chief director of the publishing firm Spirit and Letter, who spoke in the name of the Ukrainian Orthodox Church (Moscow Patriarchate), mentioned that it is of huge importance to spread information about the possibility of establishing a common date for Easter – especially within an academic environment as well as among the broader public.

As it was declared in the seminar in Lviv, the participants declared the task before themselves to “gain the attention of all Christians to the difficult question of the division in celebrating the feast above all feasts, the solemn day of Easter, and to inform with invigorated power, concerning the consensus and the progress which has already been attained by Christians with regard to this issue.”
Expressing his point of view concerning this issue, which was explored within the seminar, UCU Vice Rector Myroslav Marynovych mentioned that cultural barriers are the main obstacle. “When we think about one date of celebrating Easter for Christians, we think first of all, who wins or who loses,” mentioned Marynovych. He gave an example as experienced within the forced labor camps of the Soviet Union saying that all Christian feasts were celebrated together and Easter was celebrated twice. According to his words, people are united primarily by an animosity against a common enemy. “Why is it today that we do not have a sentiment that the best ‘glue’ is not a common enemy, but is rather a common God.” He placed this as a rhetorical question to the participants.

In 2010 and 2011, the dates of Easter will coincide in both the Eastern and Western traditions. As mentioned by Dr. Arjakovsky, we need to place an accent on the fact that the dates for celebrating Easter not only coincide according to the Julian and Gregorian calendars, but also with astronomical data. “This is an important witness that the time has come to celebrate Easter jointly not only from time to time, but as a rule ,” mentioned Dr. Arjakovsky.

The participants of the seminar, as the final communique stated, encouraged all Christians to actively join in discussion concerning this issue and to put all of their efforts to make the coinciding of the celebration of Easter by Christians to be not merely an exception, but a rule. It is the hope that the Christian churches of both the East and the West will jointly celebrate the feast of Easter and this would constitute a real step toward establishing full communion in the future.

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During the course of my (scientific) career I have noted that a requirement for getting the right answer to a problem is asking the right questions. What is the right question for the dating of Easter?

Some considerations.

A very good website for all kinds of information on a variety of calendars is timeanddate [timeanddate.com].

Its page on Calculating the Easter Date [timeanddate.com] says:
Quote
How Is Easter Determined?

Easter falls on the first Sunday after the Full Moon date, based on mathematical calculations, that falls on or after March 21. If the Full Moon is on a Sunday, Easter is celebrated on the following Sunday.
...
Proposed Easter Date Reforms

There have been a number of suggested reforms for the Easter date. For example, in 1997, the World Council of Churches proposed a reform of the Easter calculation to replace an equation-based method of calculating Easter with direct astronomical observation.

So, the key is the full moon after March 21 based on "direct astronomical observation" and not one "based on mathematical calculations," that is, not one using "an equation-based method of calculating Easter."

This is, unintentionally, wrong and misleading. The traditional -- true, accurate, precise -- specification of Easter/Pascha, presently ascribed to by Orthodox and Catholic, does not invoke the full moon but, based on scripture as the accepted only legitimate directive, the 14th day of the observed moon of the synodic (lunar) cycle. Also, there is no "direct astronomical observation" of future events by either the traditional method or the modern detailed astronomical determinations. Both are calculations based on models of varying degrees of sophistication that are properly matched to the actual requirement, a "management-by-objective" approach. To arrive on time for a meeting do you need to use an hour-glass, a standard (hour-minute) watch or an atomic clock?

Here is a typical comment I pulled off a website, a man-on-the-street observation: "Note that both East and West use a table for the lunar observation, too, rather than astronomical observation. The Western one is more accurate but also wrong."

Once again, "table" vs. "astronomical observation." And in what way, is the table of the West "wrong"? This is echoed in another page on timeanddate, see Is There A Perfect Calendar? [timeanddate.com]:
Quote
The simple answer is no. None of the calendar systems currently in use around the world perfectly reflect the length of a tropical year.
The term "perfect" is misused in referring to a calendar. Given the explicit, historical and practical development of the calendar to meet a specific human need for convenient and useful timing, it is understood to be a grid of some number of uniform days representing recurring orientations of the earth, sun and moon. It is then judged by a standard that is impossible to satisfy by its given nature. Traditional solar calendars have a given number of days that vary to match the sun-earth orientations by applying a leap year rule. Given constant values for the year and lunar month, a rule-based calendar will eventually build up a residual, eventually accumulating too much residual that is then considered an error.

How much residual (mismatch in calendar date vs what the sun-earth-moon are actually doing) is too much? And the given values for year and month change, so secular (very long-term) predictions and comparisons -- My calendar is accurate for a million years, yours is only good for 2500 years.-- are just hubris. Or consider that the 24-hour atomic clock, relative to how the earth is actually rotating, is "wrong" excepting four times a year; see Equation of time [en.wikipedia.org], the four times the curve crosses the x-axis=0.

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From the recently concluded Synod on Synodality:
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l) In the same year 2025, providentially, the date of the solemnity of Easter will coincide for all Christian
denominations. The Assembly expressed a keen desire to find a common date for the feast of
Easter, so as to be able to celebrate the resurrection of the Lord, our life and our salvation, on the
same day.
Synod23 – Summary Report of the first Session of the XVI Ordinary General Assembly of the Synod of Bishops (4-29 October
2023), p 18.
[ From (official Italian?) “A Synodal Church in Mission,” the 42-page summary report [Italian] [catholicnewsagency.com]; provide here Google translate English version pdf unedited, as is.]

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I have been reading "Thomas Strzempinski, Hermann Zoest, and the Initial Stages of the Calendar Reform Project Attempted at the Council of Basel (1434-1437)" by C. Philipp E. Nothaft, Cahiers de L'Instutut du Moyen-Âge Grec et Latin 84,166(2015), also available on Academia.edu. It discusses the two calendar-reform proposals made to the Council of Basle in 1435 and 1437. The first proposal, made in 1435, would have (a) omitted a bissextile day from the Julian calendar once every 136 years; (b) set the earliest date for Easter to March 16; (c) ommitted the day of the conjunction in counting the days of the lunations, so that the 14th day of the lunar month would not precede the full moon; (d) adjusted the dates associated with the Golden Numbers to correpond to the visible lunations; and (e) scheduled recalibrations of the Golden Numbers (and the earliest date for Easter) for future years in order to keep the Golden Numbers current with the visible lunations. The second proposal, made in 1437, would have (a) deleted a week from an upcoming year; and (b) shifted the Golden Numbers by 3 years, so that what was previously year 4 would become year 1. Either of these proposals would have improved the calculation of Easter, but neither was implemented in the end. The Council's general assembly voted in December 1440 to abandon the calendar reform project, "worried no doubt" Nothaft writes "by the newly arisen schism between the council's elected pope Felix V (1439-1449) and Eugene IV in Rome". Calendar reform would have to wait until 1582. Those of us who hope for calendar reform in the Eastern churches today can be encouraged by this example to take the long view.

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In my notes on that paper by Nothaft, the two aspects that I highlight are the role of and interactions with the "representatives of the Eastern Church," and which of the various proposals would any have been an adequate solution.The first points to the need for a better and thorough history of the East-West interaction in order to understand the eventual rejection of the Gregorian reform under Patriarch Jeremias II. That rejection is still an issue today for some Orthodox.

The second pertains to my "Kalendar "approach as a possible tool to compare and evaluate the progression of the centuries of work and theories on the calendar issue. Since I claim it is the limiting case of the computus methodology, does it have utility as a standard for comparison? Nothaft documents the historical narrative and provides a good amount of data but to unravel and interpret that data in terms of its parameters (Alfonsine Tabels etc.), indices (Golden Numbers), range in years, computation of mean conjunctions etc., requires dedication and time.

A quick example, however, is the noted 136 leap year interval:
Quote
... the Alfonsine value was widely accepted in his [Zoest's] own time for at least coming closer to the truth (being verior) than other available options.51 It implied an annual discrepancy of 10m 44s between the Julian and tropical years, calling for an omission of a day every 134 years in order to keep the dates of the equinoxes and solstices from receding. For the reform sketched in the decree of 1435, this value was indeed adopted, but slightly altered: instead of one day every 134 years, the goal was to get rid of a day every 136th year. The obvious reason, as Zoest took care to explain, was that 136 is a multiple of 4, which made it possible to restrict such excisions to the bissextus, i.e., the Julian leap day that is habitually inserted in February of every fourth year
p 187.

The comparison of leap year values can be done directly; Kalendar, however, allows them to be evaluated within a consistent and comprehensive framework. The Kalendar equation steps through each year and includes a leap day only when it is needed to avoid an accumulated residual -- an "error" -- of a day. The specified value of the mean vernal tropical year is a whole number of 365 days plus a fraction of a day. I used the value I calculated from the JPL's Developmental Ephemeris DE400: s (vernal equinox tropical year) = 365.24235 ± 0.0037 days (±1σ); see Post 423444. For the ratio = (leap years) / (total years), the goal of the leap year ratio is to match the fraction value. Here are the first values from Kalendar where a lower (fraction-ratio) absolute value indicates a better match :

fraction-ratio      ratio = (leap years) / (total years)
----------------------------------------------------------------------
-0.2423522186 : [ 0 / 1]
-0.2423522186 : [ 0 / 2]
0.0909811148 : [ 1 / 3]
0.0076477814 : [ 1 / 4]
-0.0423522186 : [ 1 / 5]
-0.0756855519 : [ 1 / 6]
0.0433620672 : [ 2 / 7]
0.0076477814 : [ 2 / 8]
-0.0201299963 : [ 2 / 9]
-0.0423522186 : [ 2 / 10]
0.0303750542 : [ 3 / 11]
0.0076477814 : [ 3 / 12]
-0.0115829878 : [ 3 / 13]
-0.0280665043 : [ 3 / 14]
0.0243144481 : [ 4 / 15]
0.0076477814 : [ 4 / 16]
-0.0070581009 : [ 4 / 17]
-0.0201299963 : [ 4 / 18]
0.0208056762 : [ 5 / 19]
0.0076477814 : [ 5 / 20]
-0.0042569805 : [ 5 / 21]
-0.0150794913 : [ 5 / 22]
0.0185173467 : [ 6 / 23]
0.0076477814 : [ 6 / 24]

The low value at [ 1 / 4] is the well known Julian Calendar leap year. It continues for several of its multiples: [ 2 /8], [ 3 / 12], [ 6 / 24] etc. The value -0.0070581009 : [ 4 / 17], is lower so a better match; however, it is for a 17 year interval (total years) that does not lend itself as an adaptation to the, at-the-time-existing, Julian calendar. Thus the trade off is accuracy, compatibility, ease of use and with a workable range of years.

Here is a list including the proposal of Zoest at the Council of Basel and several other historical values. It goes to 470k lunations, 380004 years, 138793700 days. Going to such ridiculously large numbers is to search for patterns and test the numerical stability of the method. The CF's are values that Kalendar finds; these match the independently calculated continued fraction values base on the JPL value of the tropical year.

fraction-ratio     ratio = (leap years) / (total years)
-----------------------------------------------------------------------
0.0000000000 : [18150 / 74891] :                          = CF(11)
-0.0000000002 : [14989 / 61848] :                          = CF(10)
0.0000000010 : [ 3161 / 13043] :                          = CF( 9)
-0.0000000069 : [ 2345 / 9676] :                            = CF( 8)
0.0000000238 : [ 816 / 3367] :                            = CF( 7)
-0.0000000772 : [ 713 / 2942] :                            = CF( 6)
0.0000007226 : [ 103 / 425] :                             = CF( 5)
-0.0000052798 : [ 95 / 392] :                               = CF( 4)
0.0000720239 : [ 8 / 33] :                                     = CF( 3) & OMAR KHAYYAM
-0.0001022186 : [ 969 / 4000] :                             Herschel modified Gregorian
-0.0001299963 : [ 218 / 900] :                              MILANKOVIC
-0.0001299963 : [ 872 / 3600] :                            Kotlar modified Gregorian
0.0001477814 : [ 97 / 400] :                              GREGORIAN
-0.0001647186 : [ 31 / 128] :                              MADLER, STANOJEVIC
0.0002948403 : [ 33 / 136] :                              COUNCIL OF BASEL 1435
-0.0009729082 : [ 7 / 29] :                                = CF( 2)
0.0076477814 : [ 1 / 4] :                                   = CF( 1) & JULIUS CAESAR

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I should also have calculated the "omission of a day every 134 years." To do this, since 134 is not a multiple of 4, I calculated the equivalent ratio for 2x134=268 years less 2 years: (67-2)/268 = 65/268.

This subset of the results for each year (as in the previous post) is sorted by fraction-ratio, so the 134 year case spanning twice the number of years would have been a 37% improvement but requiring a longer time span.


fraction-ratio     ratio = (leap years) / (total years)
-----------------------------------------------------------------------
0.0000000000 : [18150 / 74891] :                          = CF(11)
-0.0000000002 : [14989 / 61848] :                          = CF(10)
0.0000000010 : [ 3161 / 13043] :                          = CF( 9)
-0.0000000069 : [ 2345 / 9676] :                            = CF( 8)
0.0000000238 : [ 816 / 3367] :                            = CF( 7)
-0.0000000772 : [ 713 / 2942] :                            = CF( 6)
0.0000007226 : [ 103 / 425] :                             = CF( 5)
-0.0000052798 : [ 95 / 392] :                               = CF( 4)
0.0000720239 : [ 8 / 33] :                                     = CF( 3) & OMAR KHAYYAM
-0.0001022186 : [ 969 / 4000] :                             Herschel modified Gregorian
-0.0001299963 : [ 218 / 900] :                              MILANKOVIC
-0.0001299963 : [ 872 / 3600] :                            Kotlar modified Gregorian
0.0001477814 : [ 97 / 400] :                              GREGORIAN
-0.0001647186 : [ 31 / 128] :                              MADLER, STANOJEVIC
0.0001850949 : [ 65 / 268] :                             COUNCIL OF BASEL AD 1435: 134
0.0002948403 : [ 33 / 136] :                              COUNCIL OF BASEL AD 1435: 136

-0.0009729082 : [ 7 / 29] :                                = CF( 2)
0.0076477814 : [ 1 / 4] :                                   = CF( 1) & JULIUS CAESAR

I'm surprised that the Kalendar predicts, in a sense, the continued fractions. I wonder if there is some inherent mathematical relationship between the Kalendar equation and the continued fraction for the mean solar year.

The lunar cycle analysis is more involved. Something of a test case is the anomaly for the year 16399. Here again we're looking at the application of the Gregorian rule-based methodology for the solar and lunar cycles and the equation based, rather than rule based, Kalendar.

In “The missing new moon of A.D. 16399 and other anomalies of the Gregorian calendar,” Denis Roegel [Interim Report [researchgate.net]] A04-R-436 ( 2004) p7 :
“Hence, the Compendium rule forgets to add a new moon between December 2, 16399 and January 30, 16400. This is actually only the first problem of this kind.” Kalendar correctly has the “missing” new moon since it has new moons for 16399-DEC-29 WED and 16400-JAN-27 THU .

N=NEW          F=FULL
[Lunation Year Day]

____________KALENDAR___________ ___GREGORIAN____ __JDK__ _____KAL_____
      [ 209651   16950   6191114]  N:  30      16399-NOV-29  MON    7711004    7711004.36363
      [ 209651   16950   6191129]  F:  30      16399-DEC-14  TUE     7711019    7711019.12863
      [ 209652   16950   6191143]  N:  29     16399-DEC-29  WED     7711034   7711033.89420
      [ 209652   16950   6191158]  F:  29      16400-JAN-13  THU     7711049   7711048.65920
      [ 209653   16950   6191173]  N:  30      16400-JAN-27  THU      7711063   7711063.42477


For this comparison, Kalendar had to be aligned with a Julian Date, see Julian day [en.wikipedia.org], from which Gregorian calendar dates can readily be calculated using standard algorithms; see Converting Between Julian Dates and Gregorian Calendar Dates [aa.usno.navy.mil] and referenced therein, Richards, E.G. 2012, "Calendars," from the Explanatory Supplement to the Astronomical Almanac, 3rd edition, S.E Urban and P.K. Seidelmann eds., (Mill Valley, CA: University Science Books), Chapter 15, pp. 585-624.

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I have been reading some old threads in this forum from the past 20 years or so in which the calendar question comes up. I note how often partisans of the Julian calendar raise the canard about how Pascha/Easter can never coincide with the 15th of Nisan in the Rabbinic Jewish calendar, the first day of Unleavened Bread, almost universally but inaccurately called "Passover." Indeed some partisans of the Julian calendar hold that Pascha/Easter can never fall within the 7 or 8 days of Unleavened Bread in the Rabbinic Jewish calendar, even though this form of the canard is falsified by numerous counterexamples, such as Pascha/Easter of 2011. Some of those who promote these theories appeal to the Canons of Nicea, even though none of the Canons of Nicea deals with Pascha/Easter. More sophisticated partisans appeal to Apostolic Canon 7 and Antioch Canon 1 even though these canons are inapposite since they refer to a form of the Jewish calendar that no longer exists. Another mistake that partisans of the Julian calendar sometimes make is to confuse the Julian Day system of the astronomers (named after Julius Caesar Scaliger, who lived in the 16th century) with the Julian calendar (named after Julius Caesar, dictator of Rome who lived in the 1st century B.C.) It is true that a Julian century of 36525 days is used in certain long-distance astrometric calculations. But when I did astrophysical calculations at NASA in the early 1990s, the only calendar I used was the Gregorian, to make sure I got to meetings on time.

ajk, have you read Hieromonk Cassian's defense of the Julian calendar?

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Originally Posted by Mockingbird
ajk, have you read Hieromonk Cassian's defense of the Julian calendar?
I've encountered it several times in my searches, and have only read what's available online, but do not recall finding (except in print) the complete work "A SCIENTIFIC EXAMINATION OF THE ORTHODOX CHURCH CALENDAR."
Quote
In fact, the idea that the Church Calendar—the only calendar with Patristic sanction in the Orthodox Church—is scientifically deficient has become so embedded in popular consciousness, that even many of its apologists concede this ‘fact’ in their defenses of the Julian reckoning. Such a concession, however, is wholly unnecessary, for the Church Calendar actually has greater scientific merit than the Gregorian Calendar. Regrettably, this remains one of the ‘best–kept secrets’ in the Orthodox world.”
Archbishop Chrysostomos of Etna
From his “Foreword” to the book
"... the Church Calendar actually has greater scientific merit than the Gregorian Calendar." Where, how, does one begin to respond? Orthodox calendar reforms with a mixed calendar compromise have only made clarification more difficult. Real, practicing scientists who are Orthodox, have admitted -- even recommended -- the Gregorian Calendar as a solution to the severe misrepresentation of nature -- nature = God's creation, and not 3rd century man's creation -- that is now enshrined in Orthodoxy (and equally benighted Catholics) via the Julian Paschalion.

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Chapter 4 of Hieromonk Cassian's pamphlet is here. [orthodoxinfo.com] He makes exaggerated claims for the fathers of Nicea.

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Originally Posted by Mockingbird
Chapter 4 of Hieromonk Cassian's pamphlet is here. [orthodoxinfo.com] He makes exaggerated claims for the fathers of Nicea.
Indeed. From Chapter 4:
Quote
The amazing thing is that the Nicene Paschalists succeeded in linking the two calendars—inexact in themselves—, so that ultimately they obtained a nineteen–year cycle which is of great scientific merit, one that unerringly reckons, even to this day, the lunar phases and their connection with the vernal equinox.
He lives, then, in fantasy land. His poor grasp of science is complemented by his poor grasp of theology:
Quote
One can only marvel at the ingenious solution of this complex astronomical problem. Furthermore, the drawing apart of the Jewish Passover from the Orthodox Pascha has deep theological significance, clearly indicating the proportionally increasing hostility over the centuries of Judaism towards Christianity... By the same token, this chronological distancing of the central Orthodox Feast from the Jewish one providentially signifies the spiritual distance between these faiths, viz., that Orthodoxy has nothing in common with Judaism.

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Originally Posted by ajk
I only recently read this from the Catholic News Agency article, Vatican cardinal supports common Easter date for Catholics, Orthodox [catholicnewsagency.com], Mar 12, 2021:
Quote
The president of the Pontifical Council for Christian Unity, Cardinal Kurt Koch, has supported a suggestion that Catholics and Orthodox work to agree on a common date to celebrate Easter.

A representative of the Patriarchate of Constantinople to the World Council of Churches (WCC) said a common Easter date could be a sign of “encouragement” for the ecumenical movement.

Orthodox Archbishop Job Getcha of Telmessos suggested that the year 2025, which will be the 1,700th anniversary of the First Ecumenical Council of Nicea, would be a good year to introduce this reform of the calendar.

This is an initiative of the of Ecu­meni­cal Patri­ar­chate. The full proposal by Archbishop Job, giving the scope and intent, is the second article (scroll down) in the February 2021 Newsletter of the Per­ma­nent Dele­ga­tion of the Ecu­meni­cal Patri­ar­chate to the World Council of Churches: EDITORIAL TOWARDS A COMMON DATE OF EASTER: REMAINING FAITHFUL TO THE COUNCIL OF NICEA (325) [mailchi.mp].

Four years, then, to study and prepare and discuss.

We've had several spirited discussion related to this topic on this forum. What will it take for this new initiative be viable?

I invite all to give their views on what it will take for there is to be real progress, not the stagnation and stalemate of the past. I say progress and not (complete) success because I suspect there will be some who will never accept anything but THEIR status quo. Will truth prevail -- and should it -- at the risk of schism?

This calendar question, more precisely a unified observance of the annual feast of Pascha, acknowledged as the Feast of Feasts, is not dogma but it is theology, specifically (I'd say) Liturgical Theology. That is why this thread is here in Faith and Theology and not a News forum. For my part I intend to identify certain defining issues and significant events, and what I believe are the basic facts that must be clarified and accepted, before there can be any real progress.

With one year to go, I refer back to the original post of this thread. There's a lot going on in the Church and the world, so a common Pascha/Easter and the calendar would not be an obvious or a top concern. Nevertheless, in a year, Nicaea, its anniversary, will be upon us. The WCC has Nicaea 2025 [oikoumene.org] and there is Nicaea and the Church of the Third Millennium: Towards Catholic-Orthodox Unity [iota-web.org], Rome, 4-8 June 2025, which does list:
Quote
3) the importance of the Council’s dogmatic and canonical decisions for Orthodox-Catholic dialogue (especially for the bilateral discussions of ecclesiology, conciliar theory, and the date of Easter).

I'm recapping here, and completing at least in a penultimate sense, what I have gotten from this discussion and study. Looking at scripture there's Passover, timed to be at the 14th day of the sighting of the new moon of spring, around the time of the green barley, Aviv. In both Christian and Hebrew observance, this came to be approximated as being close to the full moon immediately after spring, taken as the time of the equinox. For Christians, especially after Nicaea, the observance was always on the Lord's Day, Sunday, the day of the Resurrection.

For over 100 years now the Ecumenical Patriarchate, recently joined by the WCC (culminating in Aleppo, 1997), have been putting forth a proposal that looks to science, astronomy, for a rigorous dating strategy. This is a valid and intelligent proposal that, however, is far, far beyond the demands of scripture.

In between Nicaea and this 20th century initiative is the period of historical development that is dominated by an approach called computus. It looks to arithmetic relationships between the year, the cycle of the sun, and the cycles of the moon, to identify rules and produce tables to match as faithfully as possible, in spirit and in fact, the scriptural directive. The examples, in use today, are the Julian and Gregorian Calendars and their Paschalia. Despite their differences and the associated controversy, the two Calendars and their Paschalia share a common heritage and ethos. They are traditional and Patristic and historical, and as such, are witnesses that the computus framework provided a common ground accommodating the scripture's direct experience of nature and our God-given talent to understand and engage God's design. The computus framework culminated in the Gregorian reform of 1582 but since then there has not been a continuing development of the computus, an investigation into the underlying relationship of the basic cyclic elements of the year and the lunar cycle. The Gregorian reform seems to have been good enough (in fact it was very good!) as a general luni-solar accounting, that further improvement has not been deemed necessary. After all, for order and ease of use and general timekeeping we do not need, nor should we want to account for and accommodate the precise variations in earth-sun-moon movements.

So I would argue that the computus approach is "just right" (And yes, there is even a Goldilocks principle [en.wikipedia.org] .)

What if the computus methodology, however, had continued its development after 1582? Or did it? What insight might it provide for the churches and the Church to achieve a common understanding and perhaps even the much-discussed-and-argued, for at least 1700 years, common observance for the annual Pasch, Easter? I mentioned in a previous post my answer to the (my) question. I believe it's as far as one can go with the computus methodology; going just farther is choosing the significantly different detailed scientific-calculation approach. I started out just looking at the dating of Easter and realized that the basic component for cultural and religious timing -- Hindu, Chinese, Moslem, Christian, Hebrew etc.-- is a lunisolar calendar. The Julian and Gregorian calendars are solar calendars but each have a complete lunar component -- the main thrust of the computus -- for all cycles of the moon throughout the year, not just for the dating of Easter.

My approach -- I refer to it as Kalendar as noted in a previous post-- is an equation based, rather than the classic computus rule-based, lunisolar calendar. It is rather simple and uses just the two average values of the year and the lunar cycle but it becomes a bookkeeping challenge that generates automatically, once identified, the basic patterns that have been discover and historically documented: leap year rules; lunar cycles such as the Metonic and Callippic; epact adjustments of the Gregorian reform; etc.. I have not gone into the dating of Easter (yet???) in that paper but here is an updated summary comparing my results and the Gregorian and the modern calculations. This is a general calendar approach rather than focusing on the determination of Pascha.

K = Kalendar, my stuff
J = JPL, the latest high tech astronomical, almost exactly what the Orthodox reported in 1980
G = Gregorian
(The Juilian Paschalion was not included here since it is so different.)

The total number of years considered is 1100, the range of the JPL database, AD 1550-2650.

Out of 1100, all three agree:
K&J&G:     986        89.64 %

             Additional                   Giving
             agreement            Agreement Totals
             --------------            ---------------------
K&J:            50                    1036   94.18 %
J&G:            11                      997   90.64 %
G&K:           53                    1039   94.45 %

All three agree a large % of the time, almost 90%. My method, using modern insights and virtually unlimited computation ability, at just over 94% is only somewhat in better agreement than the Gregorian at around 91% agreement, both relative to the JPL. The Gregorian reform had limited 15th c. data; I had the full 64-bit precision of the complete range of JPL data that I could use to evaluate and calibrate my results.

What this tells me is that the 16th century Gregorian reform did a darn good job. Remarkably, my method, using the JPL average values, and the Gregorian are in slightly better agreement, 94.45 %, than my method and the JPL, 94.18 %. I think this confirms my approach as being a true extension of the computus methodology using the best available, current, astronomical data.

Details are at An Equation Based Lunisolar Calendar [academia.edu].

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ajk, I have o'erglanced your new article. As I may have said before, your use of the mean conjunction provides continuity with the computus tradition.

I acquired Hieromonk Cassian's book A Scientific Examination of the Orthodox Church Calendar from a print-on-demand shop. It contains little that you would not find in on-line debates, except perhaps for an argument that because science has demonstrated time to be a dynamic phenomenon, therefore it was futile for the framers of the Gregorian calendar to try to reduce the length of the average calendar year:

Quote
We see that science looks at the calendar issue in a completely different way than the Gregorian Paschalists--data are not considered absolute, but dynamic. It is evident that the pursuit of the Gregorian Paschalists to perfect the Julian Calendar by removing the sham difference of eleven minutes and fourteen seconds is not at all justifiable. We allow ourselves the use of the term "sham" because the difference it [sic] is not a constant, but a variable quantity. (p. 88)
The Gregorian reform does not depend on the difference between the Spring equinox tropical year and the average calendar year to be constant. It merely depends on it having a slowly-varying average value.

Hieromonk Cassian believes that Easter must never coincide with the 15th of Nisan on the Rabbinic Jewish calendar:

Quote
Detailed information about the Paschalion is given in the fourteenth-century canonical collection known as the Syntagma. From this collection, we can derive four essential rules, all of which must be fulfilled in order for Pascha to be celebrated canonically:

  • 1. Pascha must be celebrated after the vernal equinox.
  • 2. Pascha must be celebrated after the full moon immediately following the vernal equinox.
  • 3. Pascha must be celebrated on the first Sunday after this same full moon.
  • 4. Pascha must not coincide with the Jewish Passover, which determines its celebration.


In the course of one century alone, between 1888 and 1988, Roman Catholics violated these basic Paschal rules twenty-three times: four times they celebrated Easter together with the Jews, while nineteen times - impudently enough - they celebrated Easter earlier than the Jews. For example, in 1921, the Jewish Passover was on April 10, while Western Easter was celebrated on March 11--i.e. a whole month earlier, in flagrant violation of the sequence of events set forth in the Holy Gospels. (p. 95)
He is wrong about the date of Easter in 1921. Easter that year was on March 27 (March 14 Julian) not March 11 Julian. But April 10 Julian that year--April 23 Gregorian--was indeed the first day of Unleavened Bread, 15 Nisan, according to the Rabbinic Jewish calendar. The problem is that if Rule 4 is to be considered a genuinely ancient rule at all, it refers to Passover (14 Nisan) and not the Feast of Unleavened Bread (15-21 Nisan), and that by the Christian calculation, not by the Jewish calculation. This is the way the Alexandrian computus works: Easter is always in the 15-21 day of the moon, never on the 14th of the moon. The Gregorian computus follows this rule exactly.

Ironically, the question of the distinction between the Passover (14 Nisan) and the Feast of Unleavened Bread (15-21 Nisan) comes up in an essay by Archimandrite Sergius, "The Late Celebration of Pascha in 1983" which is included in Hieromonk Cassian's book as Addendum 1:
Quote
At this point, it is worth mentioning that there is no reason to maintain that, in antiquity, the Christian Pascha at times coincided with the Jewish Passover and that, as a result, by way of indulging Roman Catholics and Protestants, it is not absolutely necessary to avoid such a coincidence with the Jewish Passover. Those who advocate such a perverse interpretation cling blindly to the tables of the Russian scholar and Church historian, Professor B olotov, in which Nisan 15 is listed as the date of the Jewish Passover. It is always possible to make mistakes, especially when one relies more on his own "knowledge" than on the knowledge of the Church. This is precisely what happened with Professor Bolotov. Had he known the work on Pascha by Saint Maximos, he would have undoubtedly understood that it is impossible for the dates of the Christian Pascha and the Jewish Passover to coincide. For the datee which the Christian Feast of Pascha must avoid is not Nisan 15, but Nisan 14, that is, the day on which the Passover lamb is sacrificed. (pp. 149-150)
But the date Hieromonk Cassian cites as the Jewish Passover in 1921 is Nisan 15--April 23 1921-- not Nisan 14. But if Archimandrite Sergius is right, he need not worry. In the Rabbinic Jewish calendar, Nisan 14 never falls on Sunday. But as already noted, it is Nisan 14 by the Christian computation that the Paschalion avoids celebrating Easter on.

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Originally Posted by Mockingbird
I acquired Hieromonk Cassian's book A Scientific Examination of the Orthodox Church Calendar ...

Ironically, the question of the distinction between the Passover (14 Nisan) and the Feast of Unleavened Bread (15-21 Nisan) comes up in an essay by Archimandrite Sergius, "The Late Celebration of Pascha in 1983" which is included in Hieromonk Cassian's book as Addendum 1....

Neither offering respectable science, history or theology, both Hieromonk Cassian and Archimandrite Sergius are a menace to the truth. Yet they are revered by Julian Calendar devotees and that counts for more than objective facts.

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Originally Posted by ajk
My approach -- I refer to it as Kalendar as noted in a previous post-- is an equation based, rather than the classic computus rule-based, lunisolar calendar...

Details are at An Equation Based Lunisolar Calendar [academia.edu].
I thought a hands-on tool might be a better demonstration of the concept than just words, tables, equations and graphs: Kalendar.exe. Run Kalendar.exe KALENDAR [patronage-church.squarespace.com], for Windows; download and double-click to run). An important test and illustration of how crucial timing (location) can be is Y=2025 and the agreement of the astronomical (Aleppo), the Julian and the Gregorian. For Israel Standard Time (UTC+2) it is hours shy of giving the expected April 20 date. Run it for the the exact Jerusalem longitude used in the Aleppo proposal, UTC+2.34556 hr, and get the expected

E: equinox
N: new moon (conjunction)
m: molad [en.wikipedia.org] (nominal first sighting of crescent; Day 1); a Jewish term for the "birth" of the moon here, nominally, "the first visibility of the new lunar crescent after a lunar conjunction."
F: Fourteenth day (nominal full moon); Leviticus 23:5
P: Pascha - Easter

__Gregorian__    _<==>_    ____Julian____     _____J2000______
   2025  4  13         SUN F        2025   3   31        2460778.50753827
   2025  4  20        SUN *P*       2025   4    7

Another interesting case tests the numerical stability at very large values for the year. From “The missing new moon of A.D. 16399 and other anomalies of the Gregorian calendar,” Denis Roegel [Intern report] A04-R-436 ( 2004) p7.[link] [hal.science]
Quote
Hence, the Compendium rule forgets to add a new moon between December 2, 16399 and January 30, 16400. This is actually only the first problem of this kind.
Kalendar correctly predicts the “missing” new moon of December 31, 16399.

Also of interest are:

Y=30 and 33: 7 Clues Tell Us *Precisely* When Jesus Died (the Year, Month, Day and Hour Revealed) [ncregister.com]
Y:373, 377, 387 Re: Calendar-Easter
Y: 1981, 1984,The Paschalion: An Icon of Time [academia.edu] and 2019, so-called "problem years"
Y=1582 equinox dates show the 10 day offset that the Gregorian calendar reform corrected. Issued Julian 24 February 1582, proleptic-Gregorian March 6,1582 (a day of molad according to Kalendar.

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Continuing to see this through to the end, that is, to Nicaea 2025 ... first, a meditation.

RSV Mark 14:38 & Matthew 26:41 : "Watch and pray that you may not enter into temptation; the spirit indeed is willing, but the flesh is weak."

The Future of Easter [newoxfordreview.org]
Quote
If the Pope aims to fix a 'common' Easter with the Orthodox, then discussion is long overdue ...I have repeatedly criticized the idea of tampering with Easter... One year out from 2025, the quiet with which that idea is now surrounded is more concerning than reassuring to me.

March 31, 2024 Orthodox Patriarch Bartholomew hopes for ‘unified date’ for Easter in East and West [catholicnewsagency.com]

and

Ecumenical Patriarch Calls for Joint Easter Celebration for Eastern- and Western-Rite Christians [kyivpost.com] Expressing his hopes for unity, the Patriarch suggested that an agreement on a common date for Easter, which is calculated differently, could be reached as early as next year.
Quote
We beseech the Lord of Glory that the forthcoming Easter celebration next year [April 20 on both calendars] will not merely be a fortuitous occurrence, but rather the beginning of a unified date for its observance by both Eastern and Western Christianity...Among its pivotal discussions was the matter of establishing a common timeframe for the Easter festivities. We are optimistic, as there is goodwill and willingness on both sides. Because, indeed, it is a scandal to celebrate separately the unique event of the one Resurrection of the One Lord!

03 May 2024 Joint Celebration of Easter: Is There a Desire to do so? [risu.ua]
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We also know that a few years ago, both Pope Francis and Patriarch Bartholomew expressed their desire and created a separate commission for the joint celebration of Easter. Thus, the desire of the Pope and the Ecumenical Patriarch is to reach a mutual agreement and celebrate Easter together for at least two reasons:

a) Because in 2025 the whole Church will celebrate the 1700th anniversary of the first Ecumenical Council of Nicaea;
b) Because in 2025, according to the Gregorian and Julian calendars, we will celebrate Easter together on 20 April 2025.

It is known that Fr Hyacinthe Destivelle, OP, was named by Pope Francis as a member of this Commission. I asked him in Alexandria in June 2023 how things are going with this Commission and whether there is any hope that next year we will celebrate Easter together - Orthodox and Catholics - regularly? The answer was that the Commission was not working with great enthusiasm...

May 1, 2024 Preparing the Orthodox for the Date of Pascha [publicorthodoxy.org]
Quote
The Standing Conference of Orthodox Bishops in America (SCOBA) had sent to OTSA a request for an assessment. The Society responded with two important suggestions. First, they urged that the Orthodox accept the Aleppo proposal as the most satisfactory method of determining the proper date for the celebration of Pascha. Second, and equally important, they urged the hierarchs to begin an immediate education initiative, because the Aleppo proposal would require from the Orthodox the biggest adjustment in the timing of the celebration of Pascha.

Nothing came of these endorsements. Still, further meetings have continued to build on the Aleppo Statement, and more than a quarter century later, the need is no less urgent today to educate both Eastern and Oriental Orthodox about why the proposal remains the best way for finding a common method for celebrating Pascha.

... meetings have continued to build on the Aleppo Statement, and more than a quarter century later, the need is no less urgent today to educate both Eastern and Oriental Orthodox about why the proposal remains the best way for finding a common method for celebrating Pascha. ... For the Orthodox in North America, the superb 2017 essay by Professor John Fotopoulos should be required reading by anyone wishing to understand the importance of the Aleppo proposal. For those bishops and their advisors willing and able to spend more time examining the pros and cons of the Statement, the essays of the 26th 2022 Orientale Lumen meeting provide an overview both of the Statement and the history of the continued consultations that have followed. (Joseph Loya, OSA, ed., Easter Together: An Ecumenical Exploration for a Common Date).

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One more.
May 3, 2024 Orthodox Easter: Calendar Question Continues To Split The Church [religionunplugged.com]
Quote
Recently, Ecumenical Patriarch Bartholomew expressed his desire for Christians in both the East and West to begin celebrating Easter on a “unified date,” rather than following different liturgical calendars.

Patriarch Bartholomew said that he hopes this could happen as early as next year. A step in that direction would strengthen the dialogue between the Catholic Church and the Ecumenical Patriarchate. It would have a significant impact on Orthodox unity, deepening the rift between Constantinople and Moscow.

“It is a scandal to celebrate separately the unique event of tne one resurrection of the one Lord,” Patriarch Bartholomew said in a recent homily, calling for a Easter to be celebrated on the same day by all Christians.
...
The success of the agreement between Pope Francis and the Ecumenical Patriarch Bartholomew is remote. Celebrating Easter on the same day by next year seems unrealistic, expert said.

If by any chance the Catholic Church and the Ecumenical Patriarchate do reach an agreement on a common date for Easter, this would create a tectonic shift in the Orthodox world. Such a move would deepen the ongoing Orthodox rift between Constantinople and Moscow, potentially creating a series of schisms within local Orthodox churches (similar to what happened in the 1920s with the Greek and Romanian churches).

It would also lead to a ‘multi-speed’ ecumenical dialogue, with Rome and Constantinople establishing full communion, while the Moscow Patriarchate would fall behind. This would create an immeasurable difference in Orthodox Christianity that wouldn’t be possible to bridge for generations to come.

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In 2025, for the first time in 11 years there will be a "universal Pascha" when all calendars align, inaugurating a cycle of ever-third-year together" through mid 2030's.

This will not be due to any efforts by Patriarchs and Popes.

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Christ is Risen!1

ajk,

Quote
It would also lead to a ‘multi-speed’ ecumenical dialogue, with Rome and Constantinople establishing full communion

The only fly in the ointment is Fiducia Supplicans. There has been some powerful pushback among the Apostolic Churches over this document and the practice that has developed from it. I don't see any of the Apostolic Churches signing on to full communion while this monstrosity is in place. I think it will take a lot more than a common date of Pascha for that to happen.

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I'm sorry I have been out of the loop for so long to have missed this fascinating thread!

Prayers for a common Easter date beginning, hopefully, after next year. Hopefully too - a common Nicene Creed in its original text (I won't use the "F" word).

Certainly, Constantinople or at least the Ecumenical patriarch (Many years!) believes the time has come to proclaim formal Communion between the Churches. Symbols are important as are symbolic gestures so if these take place next year - let's just keep our fingers crossed shall we?

Perhaps Rome could also formally proclaim Sts Gregory Palamas and Photios the Great as Doctors of the universal Church . . .that would be good too!

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Originally Posted by ajk
Synodica V (Chambésy - Genève, Les Editions du Centre Orthodoxe, 1981) referenced by the Aleppo Statement, Towards a Common Date of Easter (TCDE), is entirely devoted to the calendar issue on a number of levels, not just the technical, astronomical. It is available as a pdf-download, 3.8MB, SYNODHIKA_5.pdf [google.com]. It reveals that consideration was given to adoption of the Gregorian Calendar, and TCDE2025 should reexamine and reevaluate this option. It seems there is very little if any initiative by the Catholic Church in advocating the calendar and Paschalion that it initiated. To the extent this is so it is very unfortunate: the inability or unwillingness of the Catholic Church to offer a real service to the truth by standing up for and presenting the advantages and legitimacy of the Gregorian reform of 1582 and its calendar and Paschalion. The journey begun at Nicaea in 325 could properly, that is in the spirit and details of the Nicaean norm accepted by all, end with the adoption of the Gregorian Paschalion in 2025. This is not just idle talk, hyperbole, triumphalism or flamboyant rhetoric. It is eminently defendable and the Catholic Church should be taken to task for not advocating the Gregorian approach on its own merits, at least for the present and some considerable future time. The study Proceedings of the Vatican Conference to commemorate its 400th Anniversary, 1582-1982 [casinapioiv.va] should have a prominent place in the deliberations of TCDE2025.

Why should the Catholic Church advocate more strongly for the Gregorian calendar and Paschalion, especially as discussions approach for a common date of Easter in 2025? Could adopting the Gregorian Paschalion honor the spirit of the Nicaean Council?

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Christ is in our midst!!

John Steve,

Have you not read the complete thread on this point? The Gregorian calendar corrected the misalignment of the calendar with the actual changing of seasons. It is probably the best alignment with the intention of the Fathers of Nicaea.

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Originally Posted by John Steve
Originally Posted by ajk
Synodica V (Chambésy - Genève, Les Editions du Centre Orthodoxe, 1981) referenced by the Aleppo Statement, Towards a Common Date of Easter (TCDE), is entirely devoted to the calendar issue on a number of levels, not just the technical, astronomical. It is available as a pdf-download, 3.8MB, SYNODHIKA_5.pdf [google.com]. It reveals that consideration was given to adoption of the Gregorian Calendar, and TCDE2025 should reexamine and reevaluate this option. It seems there is very little if any initiative by the Catholic Church in advocating the calendar and Paschalion that it initiated. To the extent this is so it is very unfortunate: the inability or unwillingness of the Catholic Church to offer a real service to the truth by standing up for and presenting the advantages and legitimacy of the Gregorian reform of 1582 and its calendar and Paschalion. The journey begun at Nicaea in 325 could properly, that is in the spirit and details of the Nicaean norm accepted by all, end with the adoption of the Gregorian Paschalion in 2025. This is not just idle talk, hyperbole, triumphalism or flamboyant rhetoric. It is eminently defendable and the Catholic Church should be taken to task for not advocating the Gregorian approach on its own merits, at least for the present and some considerable future time. The study Proceedings of the Vatican Conference to commemorate its 400th Anniversary, 1582-1982 [casinapioiv.va] should have a prominent place in the deliberations of TCDE2025.

Why should the Catholic Church advocate more strongly for the Gregorian calendar and Paschalion, especially as discussions approach for a common date of Easter in 2025? Could adopting the Gregorian Paschalion honor the spirit of the Nicaean Council?

Synodica V (Chambésy - Genève, Les Editions du Centre Orthodoxe, 1981) is the report of the Congress for the Examination of the Question of a Common Celebration of Easter by All Christians on the Same Sunday – Minutes and Texts; 152 pages.

Three Orthodox astronomers did calculations that were reported at that Congress, June 28-July 3, 1977. Only one of the thee attended and presented at that Congress, Prof. Georges Contopoulos. Here is an excerpt from his presentation, p 55:
Quote
The conclusion is that the present calculation of the date of Easter by the Orthodox Church is not in accordance with the letter of the 1st Ecumenical Synod. It is not even in accordance with its spirit, which is to have all Christians celebrate Easter on the same day.
Now, what solutions can be proposed? The obvious solution is to follow immediately the Gregorian calendar. This has two obvious advantages:

a) It is in close agreement with the rule established by the 1st Ecumenical Synod, and
b) Easter will be celebrated the same Sunday by all Christians.

However, this solution has also some difficulties. I will not discuss the difficulties arising from any change introduced in the Church, due to the traditionalistic attitude of many people. This problem is for you [ajk:the bishops etc.] to discuss and solve …
I conclude my report … The calculation of the Orthodox Easter should be corrected as soon as possible. One possibility is to follow the present Gregorian Calendar …

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I've been wanting to do an update of calendar news and Nicaea conferences.

In October 2024 I submitted an article A Common Easter: Is there an alternative to the Aleppo Proposal? [academia.edu] to Public Orthodoxy [publicorthodoxy.org] as a follow-up to the May 1, 2024 article Preparing the Orthodox for the Date of Pascha [publicorthodoxy.org] by Fr. Anthony Roeber. I eventually withdrew it and then was told (with a kind apology) that I had not been informed that they had 'found the discussion generally a bit too "advanced" for our typical readership...' (I took note that they did not tell me to modify it.) Public Orthodoxy is a ' “public-facing” initiative of the Orthodox Christian Studies Center [fordham.edu].

On March 20, 2025, Dr. George Demacopoulos of Fordham will speak on Nicea and the Challenge of a Common Day for Easter [publicorthodoxy.org] at Stockton University. Hopefully his talk will be recorded and made available.

There are two upcoming international conferences, both in Rome.

Nicaea and the Church of the Third Millennium [iota-web.org] 4-7 June 2025.
Nicaea 2025: Context, Event, and Reception [angelicum.it] April 2 - April 5, 2025.

I submitted an abstract for the April conference that was accepted.

Abstract I consider the development of the "Nicaean Norm" for Pascha from its biblical prototype, through its development and application in the Julian and Gregorian Paschalia, to the recent proposal in the WCC's Aleppo statement. This is an overview of the theology and technology that enters into the Church Calendar and the essential criteria for a common observance of Easter. A new approach is proposed that bridges the historical gap between the traditional method of computus and the detailed astronomical approach (as reported in Synodica V, Chambésy - Genève, Les Editions du Centre Orthodoxe, 1981.)

As of now I'll be speaking (one of the numerous 25 min. breakout talks) on April 3. I'll report here on how it goes.

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ajk, good luck on April 3!

Is your paper A Common Easter: Is there an alternative to the Aleppo Proposal? still on academia.edu? I can only find the abstract.

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Originally Posted by Mockingbird
ajk, good luck on April 3!

Is your paper A Common Easter: Is there an alternative to the Aleppo Proposal? still on academia.edu? I can only find the abstract.
Thanks Mockingbird.

It was hard enough as a 25 min. talk (I'm a detail person.) but it is now just 20 min. with 5 for questions. I'm still working on getting it down to size while not having it become disjointed, and it's still a speed read. I will post it "as given."

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Back from Rome, mission accomplished!

The "calendar" was not a prominent topic although there was a plenary talk on the last day. The program is HERE [academia.edu]. My talk was the first in one of the breakout sessions that was the last time slot on the 2nd day; see page 15 of the program. It was an eclectic session, as noted by the last speaker. All the numbered Aulas were good-sized classrooms on the 4th floor, with windows to the outside, unlike the big Aula minor and Aula magna on the ground floor. My Aula 2 had a window with the best view of the bunch: the dome of St. Peter's.
[Linked Image]
The Patristicum or Augustinianum is a left turn just off the Colonnade (about half way around when facing St. Peter's).

I have posted my talk, The Nicaean Norm and the dating of Pascha: A new approach to an old problem [academia.edu] as given but added some footnotes and appendices to provide more context.

A further acknowledgement to the ones in the paper is for all who have contributed to the numerous discussions of the calendar on this forum.

Also, see the updated program for the next conference at the Angelicum, 4-7 June, Nicaea and the Church of the Third Millennium Conference [iota-web.org] that has significant talks on the calendar etc. by some of the heavy hitters: Nicaea 2025 Conference Program DRAFT [iota-web.org].

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ajk, I enjoyed reading the writeup of your talk.

I continue to hold that the lunar months in your new computus should begin on the day _after_ the conjunction.

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Originally Posted by Mockingbird
ajk, I enjoyed reading the writeup of your talk..
Thanks, Mockingbird, I value your opinion..

Originally Posted by Mockingbird
I continue to hold that the lunar months in your new computus should begin on the day _after_ the conjunction.
Is this done to approximate the sighting of the first visible crescent?

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Originally Posted by ajk
Originally Posted by Mockingbird
ajk, I enjoyed reading the writeup of your talk..
Thanks, Mockingbird, I value your opinion..

Originally Posted by Mockingbird
I continue to hold that the lunar months in your new computus should begin on the day _after_ the conjunction.
Is this done to approximate the sighting of the first visible crescent?
Yes. It's what Clavius did with the epacts for the Gregorian calendar, though he said he set the new moons to a day or two after "the mean new moon of the astronomers" in order to have the 14th day of the moon closer to the visible full moon.

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Originally Posted by Mockingbird
Yes. It's what Clavius did with the epacts for the Gregorian calendar, though he said he set the new moons to a day or two after "the mean new moon of the astronomers" in order to have the 14th day of the moon closer to the visible full moon.
I do something similar in my calculation.

Here's the reasoning. The graph in Appendix B shows the astronomical values as the scattered dots. The overall best single value that represents the detailed astronomical data is a constant, average value that is the red line. Constant, mean values like the red line are used in the computus equation to evaluate the new and full moons as the best approximation of the astronomical. But the mean value full moons are essentially also what is intended by the biblical directive for the 14th day of the moon. In the sample calendar in Appendix C, the N designates the date of the computus equation new moon based on the mean (red line type) value modeling the astronomical values for conjunction (scattered dot type values). The F dates, however, are representing not only the corresponding computus equation full moon values but also what was in intended by the day of the 14th of the moon: F stands for both the computus Full moon but also the biblical Fourteenth of the moon.

I can show that the F and N values for the 1100 years comprising the database, AD 1550-2649, are the same day as calculated from the astronomical values most of the time, 74% as I recall; for the other 26% they are within ± 1 day of the astronomical. The N date is the start of the lunar month based strictly on the astronomy, conjunction, and is relevant for a general purpose lunisolar calendar. For an empirical calendar based on observation as in the Bible, and the F now being identified as the14th day, subtract 13 days to get the first day of the estimated observed first crescent (thus 14 days inclusive). I designate this in the printout as m = molad, a term I borrowed from the Hebrew calendar meaning the birth (of the moon) where it can stand for either conjunction or the first crescent. The date of the m entry is always 14 days inclusive from the F entry. The number next to m is the number of days from the N date. It is usually 2 days, so in line with the Gregorian adjustment but in my approach it is based on my computus values for the new and full moons.

So in Appendix C, the Paschal Full Moon on Sun 4-13 is also the 14th day of the observed crescent with conjunction on Sat 3-29 and molad (observation) two days later on 3-31 giving 4-13 as the 14th day inclusive relative to the molad value.

The strictly astronomical lunar month begins on the N date, conjunction, but the biblical, (simulated) empirical lunar month begins on m, the molad date.

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Originally Posted by ajk
On March 20, 2025, Dr. George Demacopoulos of Fordham will speak on Nicea and the Challenge of a Common Day for Easter [publicorthodoxy.org] at Stockton University. Hopefully his talk will be recorded and made available.

See:

2025 Constantelos Lecture Series - NICAEA and the Challenge of a Common Date for Easter [youtube.com].

For the start of the presentation (skipping the introductions): Dr. George E. Demacopoulos (Fordham...metrios J. Constantelos Memorial Lecture [youtu.be]

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Originally Posted by ajk
[quote=ajk]

For the start of the presentation (skipping the introductions): Dr. George E. Demacopoulos (Fordham...metrios J. Constantelos Memorial Lecture [youtu.be]
I didn't know that mixed marriages were so common in the Greek Orthodox church in the Americas.

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academia.com recommended "The Nicaean Norm and the dating of Pascha: A new approach to an old problem" by Anthony Kotlar to me today!

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