Why 47 Days? 47 days might seem like an arbitrary number, but it’s a simple cascade:

200 days = 6 maximal month (184 days) + 1/2 30-day month (15 days) + 1 day wiggle room 100 days = 3 maximal month (92 days) + ~1/4 30-day month (7 days) + 1 day wiggle room 47 days = 1 maximal month (31 days) + 1/2 30-day month (15 days) + 1 day wiggle room