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What a great site, I love this presentation, got a genuine chuckle out of me.

That said, I think months may just be one of those terrible systems that are too ingrained in our society.

I still wish we could do 13*28 + 1.25 days, thirteen months with twenty eight days each, every month starting on a Monday, with a special 'festivity' day at the end of each year, sometimes 2 days. That would work a lot better I think, but because of proud Roman emperors, we are learning and working in one of the worst arrangements possible.

i couldn’t have said it any better, it truly is one of the worst arrangements possible. but why not eliminate it altogether, what do we get out of it?
There is something cathartic about the 28 year calendar cycle, in that it bounds units of 10,000 days.
The core problem is to take things that doesn't have to be multiples as multiple, like Earth's rotation (day) with Earth (year) or Moon (month) time to orbit. Adjusting those simple original ideas to the complexity of reality and the needs of i.e. agriculture ended in what we have now.