[wan23]

Your radical time standard reform undoes your first change - it's already based on the number 12, remember? 24 is two 12-hour periods - A.M. and P.M. and 60 minutes/seconds is 12 five-minute/second periods (the numbers on a clock).

[Houshalter]

It's based on 24, which is divisible by 12. But that's not quite the same as having a clock that is based on the base you use. A base 12 clock would work just like a decimal clock, just with 2 extra symbols. It would not look like the base 24 clock with base 60 minutes and base 60 seconds.