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I taught my son a senary method for similar reasons, and also because hexagons are the bestagons. 12s are quite useful not only for time telling (since they give a nice number of ways to divide an hour) but also for evenly splitting the musical octave, and for counting with flesh between knuckles on one hand.

We do base twelve in our household. It's easier to hold in my head than base thirty-six.

Edit: I was halfway joking but I'm noticing that the 12-hour clock is very elegantly conveyed using base-36 hand gestures. The "hands" of the clock bring in this case literal human hands.

[0] - https://en.m.wikipedia.org/wiki/Senary#Finger_counting




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