Re: Old Earth Calendar

Dear Victor, Irv and Calendar People

-----Original Message-----
From: East Carolina University Calendar discussion List
[mailto:CALNDR-L@...]On Behalf Of Engel,Victor
Sent: 07 April 2006 17:29
To: CALNDR-L@...
Subject: Re: Old Earth Calendar


> (except that leap years would have 20 months).  They might
> also like to
> see the number 19 factored into the leap cycle as many times as
> possible.

That might be hard to do since 19 is prime. <grin>

KARL SAYS: The page
http://www.the-light.com/cal/kp_NdaySolarCyc2.html
tells you which are the shortest cycles you can use. These are

 N  Days  Years LongYrs  YrLength
----------------------------------
19   3287     9       2  365.22222
19  37620   103      23  365.24272
19  34333    94      21  465.24468
----------------------------------

From the 103-year and 9-year cycles, one gets a 112-year cycle:

Days  Years LongYrs  YrLength
----------------------------------
 3287     9       2  365.22222
37620   103      23  365.24272
40907   112      25  365.24107

From a number of 103-year cycles and one 112-year cycles one can construct more accurate cycles.

#103  Days  Years LongYrs  YrLength
----------------------------------
0    40907   112      25  365.24107
1    78527   215      48  365.24186
2   116147   318      71  365.24214
3   153767   421      94  365.24228
4   191387   524     117  365.24237

The 524-year cycle is also a whole number (27341) of weeks.

Irv has found this cycle and is aware that it is equivalent to the 524-year leap week cycle with 93 leap weeks. See cycle of mean year 365.242366 days in
http://www.hermetic.ch/cal_stud/palmen/lweek1.htm#cycle

Irv has also found the 9-year subcycle, but not the 103-year subcycle.

Irv has also identified some longer cycles such as
the 627-year cycle made up of five 103-year cycles and one 112-year cycle and
the 739-year cycle made up of five 103-year cycles and two 112-year cycles.

Karl

08(02(11