They don’t use minutes because of earths rotation.
Then we would need to split earth in 24 hours first to make it match rotation, but we split it in 360 degrees before.
“Minute” just means “reduced” (related to “minor”) while seconds are named like that because they are the second time you divide by 60. (Originally called Minuta Secunda in Latin)
So both just mean “divide by 60” once or twice wich is the base of the babylonian number system.
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