On 29 Dec 2006 at 12:08, Devon McCormick said:

> Someone I know once calculated that there should be a 4000-year correction
> as well, to whit: there is an exception (flip parity) to the "divisible by
> 400" exception if the year is divisible by 4000.

Less than optimal.

The current setup is equivalent to a mean year of 365.2425 days. The 
actual mean tropical year is 365.242199 days. The discrepancy is just 
over 26 seconds a year, or 1 day every
   %365.2425-365.242199
3322.259136
years.

Omitting a leap year every 4000 years under-corrects, giving a mean year 
of
   365+-/%4 100 400 4000
365.24225
days, which is still too long by 1 day every
   %365.24225-365.242199
19607.84314
years: you need to omit another leap year at about this interval (say, 
every 20000 years).

A better match IMHO is to omit once every 3200 years. This gives a mean 
year length of
   365+-/%4 100 400 3200
365.2421875
days, which is too short by one day in 
   %365.2421875-~365.242199
86956.52153
years, which doesn't seem to admit a neat adjustment (though putting a 
leap year back every 86400 years has a certain attraction).

However, since any change to the current calendar requires agreement 
among at least most of the world's governments, it probably won't get 
dealt with any time soon.

----------------------------------------------------------------------
For information about J forums see http://www.jsoftware.com/forums.htm

Reply via email to