this post was submitted on 19 Nov 2023
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I don't see why 7 day weeks are bad in regard to the number system. We rarely need to divide the days of the week into equal portions. Remembering 1, 8, 15 and 22 as mondays would be trivial after a while.
You also claim that failure to address the 365th day and leap years is an issue, but your proposal also includes several cycle-breaking days. So the same issue would persist.
Moon deviation isn't something I really worry about, but having a period which almost align with the cycle seems useful. It would be easy to just examine the initial phase within the month to chart out the rest of the month.
However, I think the biggest flaw is that the calendar would be divided into 13 equal parts, which sucks to divide into typical use cases, i.e. into 2 parts. You could split the 7th month, but it's not really elegant. Dividing the year into 3 or 4 parts would be a mess.