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Dear Irv and Calendar People
The square of 12 + 130/353 is 152.974151... .
The square of the sidereal 12 + 59/160 is 152.985976...
The 334-year cycle is special in that its number of months (4131) is a multiple of 153. It’s mirror image in the mirror of sqr(153) is the 27-year cycle of
334 months, which is unusually short. It’s year/month ratio is too high to be accurate even for a sidereal year. This 27-year cycle has been mentioned on this list before. It showed up in the analysis of Mardi Gras Chinese New Years, which I believe Irv took
12(12(18 till noon
From: East Carolina University Calendar discussion List [mailto:CALNDR-L@...]
On Behalf Of Irv Bromberg Sent: 07 June 2012 19:32 To:CALNDR-L@... Subject: Re: Mystic 153 calendar
On 2012 Jun 7, at 09:15 , Irv Bromberg wrote:
Using sqr 153 instead of 235/19 we obtain about 365d 6h 33m 24.8s, which is more than 38 minutes longer!
Thus even though the metonic cycle is a poor accuracy lunisolar cycle, using sqr 153 as the average number of months per year yields a much poorer cycle.
The sqr 153 cycle would be much better as a lunisidereal cycle.
Well, on second thought, maybe it's not such a great lunisidereal cycle either, as the sidereal mean is approximately 365d 6h 9m 10s.
So the sqr 153 cycle mean year is still way too long to serve as a lunisidereal cycle.
-- Dr. Irv Bromberg, University of Toronto, Canada