Searching for a frequency vs belt tension calculator. Saving the links here with the intention to test these against a real belt later. Primarily for the GT2 belt which is very popular in consumer 3D printers and CNC machines, with the ability to input different widths as many CNC machines use wider belts.

This calculator looks pretty good.

https://docs.google.com/spreadsheets/d/1iCvzsCI1vK_nUFhXPv7sSQhVSUuQpCGAv8foTCUHKs0/edit#gid=0

I will mostly likely make this specific to genuine Gates toothed belts, as knock-off belts are going to vary in weight and I doubt anyone is going to pull belts off and weigh them in grams to get the grams per meter.

https://www.filastruder.com/blogs/news/gates-belt-2gt-gt2-gt3-myths-and-legends

I'll need to do some research into what the manufacturers suggest for belt tension in their printers, where that information is available.