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Base 60 was used by the babylonians. They were big into astrological observations, and so I think their influence affected time and angle calculations. The num

Base 60 was used by the babylonians. They were big into astrological observations, and so I think their influence affected time and angle calculations. The numbers 12, 60 and 360 that occur in our time and angle calculations are interestingly factorials divided by 2. (4! = 24, 5! = 120, 6! = 720). Since larger factorials have both 2 and 4 as factors, they have 2^3 as part of their factorisation, and by the time you get to 6! you introduce another factor of 2, so it's not a big loss dropping one of those power of 2, you still have a huge range of factors and hence ease when working with fractions with these numbers. Attempts to replace degrees with base 10 (gradians) appears to be slow on the uptake, with radians being a more natural measurement (but who wants irrational angles in everyday life) so I think we're stuck with degrees.

krick 6y ago
There was an attempt to replace 24h system by 10h system around the same time metric system was introduced (French Republican Revolution), as a part of (much better, IMO) French Republican Calendar. Unfortunately, it didn't gain enough momentum and was cancelled after not so long. Babylonians inherited base-60 from sumerians. AFAIK, there is no real consensus why exactly it was base-60 with sumerians. One hypothesis is exactly what hyperman1 is telling us. Also, don't quote me on that, but I seem to remember hearing that 360° might have been introduced not because of divisibility specifically, but because of the size of the sun. Not sure how plausible is that, but, notably, angular diameter of the sun is ≈0.5°. So I might believe it is related, but if I'm not mistaken 5/12/60-numeric systems seem to be much older than 360°.