12. Which is divisible by 1, 2, 3, 4, 6 and 12.
The 60 which is 5 times 12 is divisible by 1,2,3,4,5,6,10,12,15,20,30 and 60. A system based on 10s is divisible by 1,2,5 and 10 only.
So a third of a hour is 20 minutes. On a tens system a third of a hour is 33.33333333333333333 Ad infinitum.
Yay. We have a moon. It's very important to us. And it almost nearly, but doesn't quite, fit the solar year.
Lots of measurement problems come from that source.
Everything we measure is based on arbitrary standards, including metric. Sure they made sense at the time. Tech inertia keeps them in place.
We still drive automobiles with pieces of metal thumping back and forth after exploding fuel and atmosphere are ignited. Very inefficient.
It is what it is.
A bright spot is that with enough random chaos, a reasonable system may have a chance at eventually emerging. We certainly have the random chaos.
I'm not holding my breath.
/johnny