« Return to Thread: 13 x 353 = 4589-year lunisolar cycle
Re: 2 x 353 = 706-year and 13 x 353 = 4589-year lunisolar cycles
by Karl Palmen
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Dear Irv and Calendar People
Thank you Irv for making the reasons behind your choice
explicit.
This is necessary to avoid misleading other calendar people into
believing that other multiples do not exist.
I note that Irv stated that this 1x353-year cycle has a mean
year very close to that of the 293-year cycle. There exists a 293x353-year
cycle with exactly the same mean year, I expect it would be made up of twenty 13x353-year
cycles and just three 11x353-year cycles.
Karl
10(08(07
From: East Carolina University Calendar
discussion List [mailto:CALNDR-L@...] On Behalf Of Irv
Bromberg
Sent: 01 May 2009 15:32
To: CALNDR-L@...
Subject: Re: 2 x 353 = 706-year and 13 x 353 = 4589-year lunisolar
cycles
On
2009 May 1, at 04:22 , Palmen, KEV (Karl) wrote:
Two 353-year cycles is not too bad. I didn't find out about it for some time and have it listed in
http://www.the-light.com/cal/Lunisolar_333.html
It has 257861 days and is formed by combining the primary cycles of 315 and 391 years.
Its mean year is 365.24221 days and mean month is 29.53057719 days.
Irv
replies: I discounted the 706-year cycle because its mean year = 365d 5h
48m 47s (close to the so-called mean tropical year) and mean month = 29d 12h
44m 1.87s are both too short.
My
targets were intentionally slightly shorter than the mean northward equinoctial
year and slightly shorter than the mean synodic month.
On
the other hand, 9 x 353 = 3177 years has has a mean year = 365d 5h 49m 1s and
mean month = 29d 12h 44m 2.97, which are both too long.
Odd-numbered
higher multiples (x11, x13, x15, x17...) make the mean year and mean month
progressively shorter.
The x11 multiple is closer to the present-era targets
(365d 5h 48m 58s and 29d 12h 44m 2.77s) but I prefer intentionally slightly
short mean year and month because both the mean northward equinoctial year and
the mean synodic month are getting progressively shorter.
Scanned by iCritical.
« Return to Thread: 13 x 353 = 4589-year lunisolar cycle
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