On 2009 May 1, at 12:14 , Palmen, KEV (Karl) wrote:
I note that Irv stated that this 1x353-year cycle has a mean year very close to that of the 293-year cycle. There exists a 293x353-year cycle with exactly the same mean year, I expect it would be made up of twenty 13x353-year cycles and just three 11x353-year cycles.
Irv replies: In order for the 293*353=103,429 year cycle to have a mean year of 365+71/293 days there would have to be 37,776,648 days = 5,396,664 weeks in the cycle.
With 293*4366=1,279,238 months the mean month would be 37776648/1279238 = 29+339373/639619 days = 29d 12h 44m 2+413002/639619s (the fraction is just shy of 2/3 of a second), which is very accurate for the present era.
If one takes the ratio of the mean year to the mean month:
(365 + 71/293) / (29 + 339373/639619) = 4366 / 353
-- Irv Bromberg, Toronto, Canada
