Re: Lunisolar Cycle Multiples of Short Lunar Cycle

Dear Helios and Calendar People


The following of these cycles have a common divisor between the number
of years and number of months, so form a multiple of a shorter
year/month cycle such as the 353-year cycle.

3014 years of 57 lunar 654-month cycles with mean month of 29.530581
days
and mean year of 365.24253 days  2*(1507 years with 555 leap months)
5124 years of 125 lunar 507-month cycles with mean month of 29.530572
days
and mean year of 365.24200 days  3*(1708 years with 629 leap months)
5181 years of 80 lunar 801-month cycles with mean month of 29.530587
days
and mean year of 365.24223 days  3*(1727 years with 636 leap months)
6707 years of 118 lunar 703-month cycles with mean month of 29.530583
days
and mean year of 365.24228 days 19*(353 years with 130 leap months)
7364 years of 253 lunar 360-month cycles with mean month of 29.530556
days
and mean year of 365.24212 days 4*(1841 years with 678 leap months)
8119 years of 74 lunar 1357-month cycles with mean month of 29.530582
days
and mean year of 365.24227 days 23*(353 years with 130 leap months)

Two examples are multiples (19 and 23) of the 353-year cycle.


The following of these cycles have a common divisor between the number
of years and number of days, so form a multiple of a shorter solar
calendar cycle such as a 1899-year cycle with 460 leap days.
2414 years of 73 lunar 409-month cycles with mean month of 29.530562
days
and mean year of 365.24192 days 2*(1207 years with 292 leap days)
5124 years of 125 lunar 507-month cycles with mean month of 29.530572
days
and mean year of 365.24200 days 4*(1281 years with 310 leap days)
5697 years of 49 lunar 1438-month cycles with mean month of 29.530598
days
and mean year of 365.24223 days 3*(1899 years with 460 leap days)
6745 years of 88 lunar 948-month cycles with mean month of 29.530591
days
and mean year of 365.24240 days 5*(1349 years with 327 leap days)
8464 years of 105 lunar 997-month cycles with mean month of 29.530592
days
and mean year of 365.24220 days 2*(4232 years with 1025 leap days)

The largest multiplier is just 5.


The 3104-year cycle is of interest, because it seems to be two Maya
1508-haab cycles reckoned at 1507 years each, but is actually one day
longer than that, so giving a mean year of 365.24253 days rather than
365.24220 days and a mean month of 29.530581 days rather than 29.530554
days.


Karl

10(13(19


-----Original Message-----
From: East Carolina University Calendar discussion List
[mailto:CALNDR-L@...] On Behalf Of Helios
Sent: 02 October 2009 03:40
To: CALNDR-L@...
Subject: Re: Lunisolar Cycle Multiples of Short Lunar Cycle

I didn't think I was going to add to the list, but... I add 3 more. I
was
corresponding with someone and I had to find a value of a "rune" equal
to
1/19 month. Then I found two Short Lunar Cycles divisible by 19. these
are
the 507 month cycle and the 1438 month cycle. Also the 1340-month
cycle's
mean month was corrected.

725 years of 183 lunar 49-month cycles with mean month of 29.530612 days
and
mean year of 365.24276 days
2414 years of 73 lunar 409-month cycles with mean month of 29.530562
days
and mean year of 365.24192 days
3014 years of 57 lunar 654-month cycles with mean month of 29.530581
days
and mean year of 365.24253 days
3473 years of 71 lunar 605-month cycles with mean month of 29.530579
days
and mean year of 365.24215 days
3511 years of 45 lunar 965-month cycles with mean month of 29.530570
days
and mean year of 365.24210 days
4437 years of 46 lunar 1193-month cycles with mean month of 29.530595
days
and mean year of 365.24228 days
5124 years of 125 lunar 507-month cycles with mean month of 29.530572
days
and mean year of 365.24200 days
5181 years of 80 lunar 801-month cycles with mean month of 29.530587
days
and mean year of 365.24223 days
5515 years of 39 lunar 1749-month cycles with mean month of 29.530589
days
and mean year of 365.24225 days
5697 years of 49 lunar 1438-month cycles with mean month of 29.530598
days
and mean year of 365.24223 days
6251 years of 86 lunar 899-month cycles with mean month of 29.530590
days
and mean year of 365.242204 days
6707 years of 118 lunar 703-month cycles with mean month of 29.530583
days
and mean year of 365.24228 days
6745 years of 88 lunar 948-month cycles with mean month of 29.530591
days
and mean year of 365.24240 days
7364 years of 253 lunar 360-month cycles with mean month of 29.530556
days
and mean year of 365.24212 days
8119 years of 74 lunar 1357-month cycles with mean month of 29.530582
days
and mean year of 365.24227 days
8464 years of 105 lunar 997-month cycles with mean month of 29.530592
days
and mean year of 365.24220 days
8518 years of 137 lunar 769-month cycles with mean month of 29.530559
days
and mean year of 365.24219 days
8559 years of 79 lunar 1340-month cycles with mean month of 29.530597
days
and mean year of 365.24232 days

--
View this message in context:
http://www.nabble.com/Lunisolar-Cycle-Multiples-of-Short-Lunar-Cycle-tp2
3562589p25709806.html
Sent from the Calndr-L mailing list archive at Nabble.com.

--
Scanned by iCritical.