You are right on this point! mathematics cannot be fooled :), and this is one of the many problems with the traditional calendar. in this case, shycronization, the start of the week does not correspond to the start of the month, it is a lunar calendar which counts the solar. and although the time difference between them is 11 days in reality. both contain 12 months and not 13 months.

the 13 month is added in the Hebrew calendar every 7 years in the lunar of 354 to catch up with the seasons

https://en.wikipedia.org/wiki/Hebrew_calendar

God creates the world in six days (measure), he perhaps rested on the seventh, and did something else on the eighth and so on on the ninth :)

Amen 🙏

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Also take into consideration that if there is a standard 28 days in a month that is also the average female cycle.

Imagine timing it just right to start a new year with 28 day months at the exact time of a new moon.