You can look up the single depth of thread for any pitch of a 60 degree thread.
You can find or derive a mathematical expression that says d = x/p where d is the single depth, x is a number based on the thread geometry and p is the tpi of the thread.
An example chart for UN form threads is here:
https://kb.wisc.edu/engr/teamlab/page.php?id=81932
If you take the numbers from that, and divide the 20 tpi single depth by three, you get a number that is double that which you obtain if you take the 12 tpi single depth and divide it by nine.
You can also see from that chart that no integer threads per inch number will work on a feedscrew, because the numerator for the fraction they give for the single depth is not a ‘nice’ number.
You can also also see that if the feedscrew had a pitch of 10tpi and a dial graduated in 100 divisions or 100 ‘clicks’ (i.e. one division is 0.001″), 20 tpi would need 32 clicks, 16 tpi would need 41 clicks, 14 tpi would need 46 clicks and 12 tpi would need 54 clicks.
On that basis, something smells fishy.
However, we do not know if the device is made for UN (flat-crested) threads or sharp 60 degree threads, so reacalculate based on sharp threads (a much easier exercise for your brain than doing so for a flat-crested item), and see what you conclude.
Can you link to the device’s product description.