Yerm of Solar Yerms RE: The Alternating 8th Month

Dear Calendar People

The 103-month period that Helios has discovered can have its months
arranged as a yerm of 13 solar yerms alternating between seven and nine
months

103 = 7+9+7+9+7+9+7+9+7+9+7+9+7. It has 3135 days.

This alone creates a 103-year cycle of 25 leap days.

A more accurate cycle would require this being mixed with a shorter yerm
of 11 solar yerms equal to 87 months

87 = 7+9+7+9+7+9+7+9+7+9+7. It has 2648 days.

The 33-year cycle has three 103-month yerms of yerms and one 87-month
yerm of solar yerms (33*12 = 103+103+103+87). The 29-year cycle has four
87-month yerms of solar yerms (29*12 = 4*87).

This leads to the following mixture of these yerms of solar yerms:

33-year cycle: 3 long 1 short
62-year cycle: 3 long 5 short
95-year cycle: 6 long 6 short (1:1 mix, alternating)
128-year cycle: 9 long 7 short
161-year cycle: 12 long 8 short (3:2 mix, mean solar yerm 241 days)
293-year cycle: 24 long 12 short (2:1 mix)
400-year cycle: 39 long 9 short (13:3 mix)
103-year cycle: 12 long 0 short (pure long)

Karl

10(06(14

-----Original Message-----
From: East Carolina University Calendar discussion List
[mailto:CALNDR-L@...] On Behalf Of Helios
Sent: 10 March 2009 05:29
To: CALNDR-L@...
Subject: The Altermating 8th Month

What have hitherto been called solar months have been twelfths of a
solar
year. I don't know if a "solar yerm" and a "natural solar yerm" has been
defined but it can't be other than;

N = 1 / ( [ 61 / W ] - 2 ),  W = Y / 12

N = 1 / ( [ 732 / Y ] - 2 )

a period of about 241 days. Anyway, I found the pattern of the
altermating
8th solar month

30 31 30 31 30 31 30 ( 30 )
30 31 30 31 30 31 30 ( 31 )
30 31 30 31 30 31 30 ( 30 )
30 31 30 31 30 31 30 ( 31 )
30 31 30 31 30 31 30 ( 30 )
30 31 30 31 30 31 30 ( 31 )
30 31 30 31 30 31 30 ( 30 )
30 31 30 31 30 31 30 ( 31 )
30 31 30 31 30 31 30 ( 30 )
30 31 30 31 30 31 30 ( 31 )
30 31 30 31 30 31 30 ( 30 )
30 31 30 31 30 31 30 ( 31 )
30 31 30 31 30 31 30 ( -- )

and the intervention after 103 months.
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