I like the 13 months of 28 days calendar. With one special free day for newyears (two days for leap years).
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And start week with a Monday, not a Sunday.
Personally I prefer it starting on Sunday, but also here with Portuguese being the main language it only makes sense to start on Sunday, Monday to Friday are called second-fair, third-fair, fourth-fair, fifth-fair, and sixth-fair. Fair as in either market or festival.
It just feels weird that some start it from the middle of the weekend
This also avoids every month from having a Friday the 13th
There are 365 days in a year. If we keep the standard 7 day week, that gives us 52 weeks, with a single day left over. That day can be New Years Day, and be outside the standard week. Call it a special day, make it a holiday, whatever. Leap years would have 2 special days. Put the second in the summer to balance the one in the winter.
That means every year is there same. Divide the year to into as many months as you want, as long as each one has a 'multiple of 7' days. January 1? Always a Sunday. April 3? Always Tuesday. Leap year day? It's on the calendar between Saturday and Sunday.
"Calendar Publishers Hate This One Trick"
I'd pull a xkcd, we'd have 13 months every year because it's a prime number, but the amount of days per month would be powers of two for the first 7 (also prime!) = 2, 4, 8, 16, 32, 64, 128; after that, apply some weird math with the current year in order to distribute the remaining 110 days among the 6 months but such that they all end with an odd number of days. Every month would have 2 weeks, made of half the month's days + 1.
Legend:
w - work day
w - weekend
wwwwwww
"now this is podracing" ~ Woodrow Wilson
Maybe go with an 8 day week. 5 work days and 3 weekend days.
45 weeks in a year with 5 days for global holidays per year (with another one every leap year).
No months, just weeks.
All months have 30 days 5 "months" of single days in the summer between that are rest and nobody works.
Skip every other day for the void
Holoscenic calendar. I get mine from Kurzgesagt every year.
I'd swap tuesday and thursday, and sunday and saturday. SMTWTWFS