So I sacrificed a string pot on the altar of science. TL;DR: So far, the results are encouraging. I used a lathe to drive the pot via an offset crankpin, allowing me to calculate the theoretical string trajectory exactly, and the maximum velocities and accelerations at different lathe speeds. The downside of this arrangement is secondary vibration: because the string oscillates vertically, its inertia introduces an error that gets larger as the speed of rotation grows. The good news is that, because it isn’t something the pot will experience in real use and occurs at mid-stroke, I think it can...