I generally don’t expect a good wirewound pot to be realistically useful at better than 100 parts per turn. This includes a typical Helipot, Spectrol, or whatever. Some are better than others, of course.
I reached this conclusion by fiddling with several different pots for hours on end, connected straight to the 34401, and trying to to hit specific values - you know, like you do in the Real World, trying to hit specific values.
The resolution was apparently not limited by the stepped effect of discrete windings, which I believe to be much finer than 100 increments per turn. What I found in the testing is what I find in Real Life while twisting calibration pots and such. The value goes high, you back up it goes low, and back and forth, jumping across the target - but not between the same values. They are essentially randomized. Approaching carefully from one direction helps.
All this made me think the mechanicals are much more important than I had first guessed. They’re sloppy, with backlash and wiggle, and an important part of the big picture.
So the game is… if you want 0.375 of the total resistance, how realisticly can get there in a reasonable amount of time (not so much fiddling!), and to what effective resolution? And my design number is 100 parts per turn, 1 part in a thousand for a ten-turn pot. Realistically, as a resolution I can hit while using the thing.
To get better resolution over all, I’d use the pot as a smaller part of the total resistance. With a 99x resistor stuck on the end, or split over both ends, I’d get 10ppm from a Helipot in a narrow range. Realistically. Maybe slightly better under good conditions. (And with a TC improvement as a bonus.)
I have some HUGE old Helipots with the ball bearings and all; I haven’t opened them, but I imagine there is nice construction it there. They’re more than three times better. And will be very difficult to fit behind a panel!
This does give me encouragement that it would be possible to build a really, really good pot, really, really expensively. But I think it would require becoming a really, really good mechanical engineer and a really, really good machinist first. I doubt the improvement would be better than ten-fold, and maybe you could get to a point where the winding steps were visible. Or… something smoother than wire, with all the other requirements met.