Presumably 12, 24, and 48 were chosen because they are
https://en.wikipedia.org/wiki/Highly_composite_numbers, and 96 and 192
for compatibility with 48 (since the HCNs in that neighborhood — 60,
120, and 180 — aren’t divisible by 48.)
(Related joke: How do we know the Babylonians were idiots? Because
the day doesn’t have 83160 seconds.)
(Related joke: How do we know the Babylonians were idiots? Because the day doesn’t have 83160 seconds.)