Lunisolar Cycles made up of Short Lunar Cycles RE: 5515-Year Luni-Solar Cycle

Dear Helios, Victor and Calendar People

I wonder what other lunisolar cycles (besides Helios's 5515-year cycle)
has
(1) months made up of a repetition of one lunar calendar cycle listed in
"Lunar Calendar Cycles less than 1885 Months"
http://www.hermetic.ch/cal_stud/lunarcal/lunacycl.htm ,
(2) fewer than 10,000 years and
(3) a mean year between 365.2416 and 365.2428 days.

The only other example I know of is

(a) 725-year cycle made up from 183 49-month-cycles of 1447 days (3
yerms),
Mean year 365.24276 days, mean month 29.5306122 days (A=725, B=267,
C=141).

I see that this example can also be made up of Helios Cycles. The
49-month cycle would then have yerms of 17,15,17 months in that order as
suggested in Sir Isaac Newton's unpublished lunar calendar.

Can any calendar person find another example?

A,B and C in my example are as defined in
http://www.the-light.com/cal/kp_Lunisolar_xls.html 
In any example, the number of Yerms (column F) must have a large common
divisor with the number of months (column J), so that when both these
numbers are divided by this common divisor, you get the number of yerms
and months in one of the lunar calendar cycles listed. The same also
applies to the number of days (column I) and the number of months
(column J).


Karl

10(02(27


-----Original Message-----
From: East Carolina University Calendar discussion List
[mailto:CALNDR-L@...] On Behalf Of Helios
Sent: 25 November 2008 04:40
To: CALNDR-L@...
Subject: Re: 5515-Year Luni-Solar Cycle

Here's the correction to the 5k515 ( or V_DXV ) lunisolar and solar
cycle

5515 years = 7*( 334 years ) + 9*( 353 years )
5515 years = 32*( 29 years ) + 139*( 33 years )

The cycle of entirety
= 4173 yerms
= 5515 years
= 68211 months
= 154947 trecena*
= 2014311 days

*A trecena is a 13-day period, so there is,
A trecena based year that has 29 trecena if
( 527*Y + 2757 )MOD( 5515 ) < 527

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