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The week is related to the phases of the moon. Aproximately four phases per month.

Why four phases? Why not 3 or 10? You can divide the month up any number of ways to create “weeks”.

Lunar phases are a natural phenomenon, traditionally you observe four phases. The more detailed model knows eight phases.

But isn't 4 where the randomness comes in?

yeah, but seven 4-day weeks per month seems weird. And not too many other ways to divide 28