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I made a script that unlocks the second hand and locks it again after 15-60 seconds and prints the rotation to the chat. Even without touching anything under the joint options, with each test it seemed to have a tendency to always be off by 0.05-0.2 of a degree; which doesn't seem that much, but with every minute that passes, the second and minute hand become more and more out of sync. This leans me to thinking that the motor velocity isn't correct, but the values are accurate to a real clock, so I'm confused as to why the degrees of rotation is different each time.
Can you try to find the motor velocities for making the minute hand actually count minutes and also for the hour hand? Would be nice to have a *real* clock.