Re: The Alternating 8th Month

Dear Victor and Helios

An mean solar yerm of exactly 241 days can be obtained with

(1) 13 solar yerms of 103 months = 3135 days (mean solar yerm 241.1538
days)
30 31 30 31 30 31 30
30 31 30 31 30 31 30 31 30
30 31 30 31 30 31 30
30 31 30 31 30 31 30 31 30
30 31 30 31 30 31 30
30 31 30 31 30 31 30 31 30
30 31 30 31 30 31 30
30 31 30 31 30 31 30 31 30
30 31 30 31 30 31 30
30 31 30 31 30 31 30 31 30
30 31 30 31 30 31 30
30 31 30 31 30 31 30 31 30
30 31 30 31 30 31 30

(2) 11 solar yerms of 87 months = 2648 days (mean solar yerm 240.7272
days)
30 31 30 31 30 31 30
30 31 30 31 30 31 30 31 30
30 31 30 31 30 31 30
30 31 30 31 30 31 30 31 30
30 31 30 31 30 31 30
30 31 30 31 30 31 30 31 30
30 31 30 31 30 31 30
30 31 30 31 30 31 30 31 30
30 31 30 31 30 31 30
30 31 30 31 30 31 30 31 30
30 31 30 31 30 31 30

(3) 13 solar yerms of 103 months = 3135 days
30 31 30 31 30 31 30
30 31 30 31 30 31 30 31 30
30 31 30 31 30 31 30
30 31 30 31 30 31 30 31 30
30 31 30 31 30 31 30
30 31 30 31 30 31 30 31 30
30 31 30 31 30 31 30
30 31 30 31 30 31 30 31 30
30 31 30 31 30 31 30
30 31 30 31 30 31 30 31 30
30 31 30 31 30 31 30
30 31 30 31 30 31 30 31 30
30 31 30 31 30 31 30

(4) 11 solar yerms of 87 months = 2648 days
30 31 30 31 30 31 30
30 31 30 31 30 31 30 31 30
30 31 30 31 30 31 30
30 31 30 31 30 31 30 31 30
30 31 30 31 30 31 30
30 31 30 31 30 31 30 31 30
30 31 30 31 30 31 30
30 31 30 31 30 31 30 31 30
30 31 30 31 30 31 30
30 31 30 31 30 31 30 31 30
30 31 30 31 30 31 30

(5) 13 solar yerms of 103 months = 3135 days
30 31 30 31 30 31 30
30 31 30 31 30 31 30 31 30
30 31 30 31 30 31 30
30 31 30 31 30 31 30 31 30
30 31 30 31 30 31 30
30 31 30 31 30 31 30 31 30
30 31 30 31 30 31 30
30 31 30 31 30 31 30 31 30
30 31 30 31 30 31 30
30 31 30 31 30 31 30 31 30
30 31 30 31 30 31 30
30 31 30 31 30 31 30 31 30
30 31 30 31 30 31 30

This yerm of yerms of solar yerms forms one quarter of a 161-year cycle
of 39 leap days, which is familiar to Victor.

(3135+2648+3135+2648+3135)/(13+11+13+11+13) = 241 and so the mean solar
yerm is exactly 241 days.

Karl

10(06(14

-----Original Message-----
From: East Carolina University Calendar discussion List
[mailto:CALNDR-L@...] On Behalf Of Victor Engel
Sent: 10 March 2009 15:31
To: CALNDR-L@...
Subject: Re: The Altermating 8th Month

Dear Helios,

You state that the period is about 241 days, and then you show several
periods none of which have 241 days. I see 243, 244, and 213 days,
which average to just over 241 days. The mean year is about 365.2427
days.

Victor

On 3/10/09, Helios <suntheorem@...> wrote:
> 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 http://www.nabble.com/103-year-Cycle-tp21830699p22428348.html
>  Sent from the Calndr-L mailing list archive at Nabble.com.
>
>

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