[net.misc] 400 Year Cycle of Gregorian Calendar

fjg (01/21/83)

Due to the leap-year rule of the Gregorian calendar, the
sequence of years/leapyears repeates after 400 years.

Is it just a one in seven chance that a given date falls on the
same day of the week 400 years later ?

   October 1752		   October 2152
 S  M Tu  W Th  F  S	 S  M Tu  W Th  F  S
 1  2  3  4  5  6  7	 1  2  3  4  5  6  7
 8  9 10 11 12 13 14	 8  9 10 11 12 13 14
15 16 17 18 19 20 21	15 16 17 18 19 20 21
22 23 24 25 26 27 28	22 23 24 25 26 27 28
29 30 31		29 30 31

Joe Glynn BTL IH  ihtnt!fjg

ken (01/25/83)

If what you say is true, there is a 1-in-1 chance that a given date
will fall on the same day of the week 400 years later.  It would
probably be a 1-in-7 chance that a given date will fall on the same day
of the week in any other year, but the calandar is so uneven I suspect
that the correlation function shows subcycles where both a better and
worse than 1-in-7 chance occurs.