@urusan the way I would do it.
Day = 12 hours
Hour = 12 moments
Moment = 12 minutes
Minute = 12 seconds
Second = 12 ticks
Comparing to the current system.
Hour = 2 hours
Moment = 10 minutes
Minute = 50 seconds
Second = 4 1/6 seconds
Tick = just over 1/3 of a second.