For the folks like me who won't own one of those smart phone timesuckers*, there's a program to compute perfect knurling diameter on my page as well as one from Little Machine Shop on the interweb...
https://littlemachineshop.com/reference/knurler.php
The basic mathematics is simple...
Compute the circular pitch of the knurl wheel... p = wheel diameter / number of teeth
Compute the integer number of p's in the stock of diameter D... N = int[ pi*D/p ] where the "int" operator denotes truncation to an integer
Then the desired knurling diameter is given by N*p / pi.
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* Yeah, that's right, I'm retired and gloat on the fact that I can get along just fine without one.

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