Dear Amos, Walter and Calendar People Amos’s remark “The only way to improve the Easter computus would require fixing the lunar cycle algorithm, within the 400year
Gregorian solar cycle.” Reminded me of the idea of replacing the lunar equation corrections with a shift of the saltus lunae while keeping the solar equation corrections
as they are. The saltus lunae is when the epact increments by 12 or decrements by 18, instead of the usual 11 and 19 respectively. If this occurs once every 19 years, we
get the 19year cycle. The Gregorian computus places the saltus lunae at years of golden number 1 as does the Julian calendar computus. Suppose each century the saltus lunae were moved 6 years earlier and if this results in the first saltus lunae of the century moving into the previous century,
it is held at the year with number ending with 00. Suppose also for every 25^{th} century, the saltus lunae are moved 2 more years earlier, then the mean lunar month would be exactly equal to that of the existing computus. The lunar jitter would be
reduced a little, but the main advantage of such a system like this is that it can be adapted to any lunisolar cycle a multiple of 400 years and not just those also a multiple of 19 years, including those I’ve listed in http://thelight.com/cal/Lunisolar400.html
Suppose instead of moving the saltus lunae 2 more years earlier once every 25 centuries, we instead move them 1 more year earlier once every 12 centuries (3
Gregorian 400year cycles). Then one would get the 18,000year cycle. Over 1200 years, the saltus lunae would have moved at total of 11*6 + 7 = 73 years earlier and so those 1200 years have 1273/19 = 67 saltus lunae. Then the whole 18,000year cycle has 1005
saltus lunae. The spreadsheet I linked in this note indicates that 870 saltus lunae are needed, but we need 135 more to compensate for the 135 solar equation corrections and so this 1005 is the number of saltus lunae corrections needed here . Suppose the
saltus lunae began at golden number 1, then after 18,000 years they would be at golden number 1 + (15*(4*19  73) mod 19) = 1 + (45 mod 19) = 8, which is the golden number of the first year of the second 18,000year cycle. Amos. Is this the kind of thing you meant by the remark I quote in this note? I show the whole note in which this occurs below. Karl 16(07(27 Friday Queen of Clubs 2017, ISO deck From: East Carolina University Calendar discussion List [mailto:[hidden email]]
On Behalf Of Walter J Ziobro Dear Karl: Original Message Dear Amos, Walter and Calendar People I looked back at some old notes and wonder what Amos meant by
“fixing the lunar cycle algorithm, within the 400year Gregorian solar cycle” It could mean fixing Easter date to something like the 2^{nd} Sunday in April. It could mean making Easter repeat on a 400year cycle. In neither case would Easter be lunar. Perhaps it just means fixing the equinox date to Gregorian 21 March.
Actually I think the underlying issue is what day do we count the epacts relative to. The number of days that the paschal full moon occurs after the ecclesiastical
equinox day is determined in a simple manner from the epact. I think Walter wants to preserve that, but vary the ecclesiastical equinox date so that it jitters less. Then a method such as Simon Cassidy’s Moonkey epacts could be applied. If we both fix the ecclesiastical epact date and preserve the simple relationship between the number of days that the paschal full moon occurs after the ecclesiastical
equinox day and the epact, then the choice of good epact rules available is seriously constrained. This arises from the jitter of the Gregorian calendar of 2.1975 days, we don’t want all the jitter to be transferred to the Paschal full moon. One way of reducing
the transfer of jitter is to have every correction of the 19year cycle at a year ending in 00, which include the dropped leap years. Better still, decrement the epact by 1 at every dropped leap year (solar equation) and increment by 1 once every 300 or 400
years (lunar equation). This is what the Gregorian computus does. The Gregorian computus corrects the 19year cycle by simply decrementing or incrementing the epacts by 1. One could also correct by changing the Golden Number
of the Saltus Lunae. This offers finer control of 1/570 month instead of 1/30 month and allows the Easter days to follow a shorter cycle such as the 18,000year cycle. Karl 16(07(25 From: East Carolina University Calendar discussion
List [[hidden email]]
On Behalf Of Amos Shapir Hi Walter and Calendar people, I don't think there's any chance of making the Church adopt any alternative way of computing the vernal equinox. Keep in mind that the very purpose of the gregorian reform was to make the vernal equinox fall on
a fixed date. The only way to improve the Easter computus would require fixing the lunar cycle algorithm, within the 400year Gregorian solar cycle. On Mon, Jul 20, 2015 at 5:56 AM, Walter J Ziobro <[hidden email]> wrote: Dear Mr Otero:
Amos Shapir 
Simon, Karl sirs:
>Reform was to make the vernal equinox fall >on a fixed date.
Some aspects of this were discussed by list during 2010 thro 2014....when I pointed to my Tithi values worked as:
ONE Tithi =1 335/326919 day to exactly fit
19years/6932.5 Tithi (235*29.5 moons). Also, good for 896years/327257 days with Tithi=1 338/326919 day; needing an EXTRA Tithi during 11082nd Lunation.
"....I provide a brief over view, for easy grasp:
http://www.brijvij.com/bb_AltWrldcalOverView.pdf.
My drawing attention of CalndrL on (21*19)=399yrs/4935 lunation with TWO 'tithi' removed  adjusts ONE lunation over 15 such cycles i.e. {15*[(399yrs/4935 lunation)]1 lunation} result in a cycle of
5985yrs (2185974.5 days)/74024 lunation (over accounting 'only' 1.787246882289 hour). This gives: It is easy to see that using TITHI=No.of days in 896years/No. of (11082x29.5) tithi make the right fit, even when used for 'controlling epact' in 400years , since 400years={(19x21)+1} or 1200years to choose 1day correction of Julian/Gregorian dates of past or future historical events. Larger cycles, however, can be controlled for synchronizing Solar and/or Lunar events for fixing 'religious dates of significance'. I recall, this had come up during some clarifications on Stone Henge/Harappa phase/ tithi 19year cycle with Simon Cassidy, in some eMails that were exchanged, sir. True, my working had been to point the Lunation interval equated to 29 1/2 tithi, which led me to the values pointed above. 896years={27*33+5} years; and also, {47*19+3} years. Regards, Brij Bhushan metric VIJ Author, BrijGregorian Modified calendar. Saturday, 2017March24H03:33 (decimal) Sent from my iPhone

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