A modest Antikythera WI: Early Mechanical Clocks?

We could go to all sorts of crazy ends with the Antikythera mechanism, not the least of which would be supposing a proto-Babbage engine.

But lets stay a bit more grounded: Let us assume that some Greek artisan or philosopher that was familiar with the Antikythera mechanism (or one of its likely counterparts) decided to apply that craftsmanship to keeping track of smaller increments of time, rather than the motions of the heavens.

What might we see if clock technology advances to where it was in the 10-11th century AD, in the Hellenistic era?
 
The problem with constructing mechanical clocks in antiquity was the way they used to devide the day. Like today it was devided into 2 times 12 hours. Unlike today it wasn't from midnight till noon and from noon till midnight but from sunrise till sunset and from sunset till sunrise. Depending on the date and the latitude that resulted in hours ranging from 0 to 120 modern minutes. In 2nd century CE Rome there were even traveling sundials where you would set the month and approximate latitude and the sundial would show approximately the correct time but any attempts to construct water clocks which took the changing length of hours into account were met with failure. Constructing mechanical clocks only became feasible after some bright mind decided to change the measuring system to the one we use now, 12 hours from midnight till noon and from noon till midnight, giving us 24 hours of equal length a day.
 
Not necessarily. Just because one followed the other historically, doesn’t mean the other way around couldnMt work.
 
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