How many periods does a woman get in a year?

So hear me out. My Wife@GalaxyFox1776 and I were talking and thought that it is mathematically interesting that the cycle also lines up with the moon at 28 days (not always universal, but is likely tampered with because of chemicals being introduced into the body that change the natural flow). If you divide the days from all the months that have more than 28 days in them (all but February except on a leap year) there should really be 13 months and not 12. I have to wonder if this also lines up with the same reason that tall buildings skip the 13th floor (not a superstition, but a satanic holy number). They have been tampering with our calendar and it really makes you go hmmm. 🤔

The math works out into 364 days if there were exactly 28 days in each month. Seems there was a similar thought back in the 1800's as shown on the below source I found on the idea. Adding days in the month is maybe screwing with time? 🤔

https://myweb.ecu.edu/mccartyr/13-month.htm