just some observations.
first from
http://www.hermit.org/Eclipse/why_months.html
The time it takes for the Moon to go from one New Moon to the next is called a Synodic Month, and is 29.530589 days on average. Because the orbits of the Earth and Moon aren't circular, and hence the two bodies don't move at a constant speed, the actual time between lunations may range from about 29.27 to about 29.83 days.
I thought the old roman calendar was based on 15 day periods (ie "ides" and fortnights) before the 7 day version, but haven't checked that.
Rounding down to 29 creates problems (as Jar points out: prime) but rounding up to 30 gives several possibilities.
Look into jewish calendars if you want to see how complicated things can get with trying to resolve lunar months with solar years.
And I agree: we are totally off topic.
Enjoy.
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