Thanks Bill!
This is one of those mundane subjects that has always intrigued me. Yeah, we all know that every so often calendars repeat themselves, but I never understood how and why, Sure, you could just look it up but the engineer in me is not satisfied with "looking it up". Inquiring minds want to know "how to calculate" the answer as opposed to looking it up. So, at the risk of your eyes glazing over...
There is a pattern to repeating calendars and it is based upon what we all know as a
leap year. In the simplest terms, calendars repeat themselves in a pattern according to the number of years
following a leap year:
- Leap year calendars repeat themselves every 28 years.
- The 1st year following a leap year repeats in 6 years, then again in 11 years and once more in another 11 years, then repeating the 6-11-11 cycle.
- The 2nd year following a leap year repeats in 11 years, then again in 11 years and once more in another 6 years, then repeating the 11-11-6 cycle.
- The 3rd year following a leap year repeats in 11 years, then again in 11 years and once more in another 6 years, then repeating the 11-11-6 cycle.
Interesting enough, note that the 6-11-11 cycle repeats every 28 years and the same with the 11-11-6 cycle.
Ahhh, seems simple enough. But how does one determine which years equal a leap year (besides just being every 4th year)? Do you remember when the last leap year was? Me neither. Turns out there is a simple mathematical rule for that.
- Leap years occur in the years divisible by 4, EXCEPT years divisible by 100 UNLESS it is divisible by 400.
Now you know.