A full Gregorian cycle lasts 400 years, and interestingly, common years (i.e. those with 365 days) beginning on a Tuesday or Thursday are slightly more frequent than common years beginning in other weekdays. (44 vs. 43 for other weekdays) In leap years, 15 begin on a Sunday or on a Friday, 14 begin on Tuesday or Wednesday and 13 begin on a Saturday, Monday or Thursday.

And if you are wanting to know the frequency of specific days falling on a certain weekday: it’s between 56 and 58 times on a full cycle, depending of the year type. E.g. October 19 falls on a Saturday in 57 years of a full calendar cycle, but 58 years have it falling on a Monday and 56 years have it falling on a Tuesday.

It’s just me or is the Gregorian calendar very weird?

  • @JubilantJaguar
    4•2 days ago

    the easiest being something like a 13 month calendar (each month being exactly 4 weeks, 28 days) = 364 days + 1 year day + 1 leap day

    Easiest maybe but no way, 13 is an eyesore of a prime number that works with nothing. No quarters, no semesters. Feels icky just thinking about such an idea!

    Very interesting points otherwise.