A fun simple gear related concept is "hunting tooth".
https://en.wikipedia.org/wiki/Gear_train#Hunting_and_non-hun...
Basically you don't want any common denominators in teeth count, otherwise the same sets of teeth will engage at some frequency. If there is a small imperfection on a tooth it'll wear out quicker. E.g. a set with 5:14 teeth will theoretically wear better than a set with 5:15 teeth.
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