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Studio: https://www.voltperoctave.com
Music: https://www.euclideancircuits.com
Me: https://www.jamesrichmond.com
And iI already have a pre wired shugz loom (I need to reflow a joint to the blend pot because it might have been picked up by the dog).
It isn't the resistance between the in and out that affects the tone, it's the resistance to ground, which is the main load on the pickup.
Still, as mentioned earlier it makes no difference unless you're talking about fairly big changes. You will not be able to hear the difference between a 250K and a 234K pot.
I tested this by using a standard pot, and adding a resistor either in parallel to lower the resistance or in series at the ground end to raise it, with a mini-switch to bypass it, so I could switch the effective pot value on the fly while actually playing, with my head right in front of the speaker . So I'm now very sure that standard pot tolerances do not matter.
"Take these three items, some WD-40, a vise grip, and a roll of duct tape. Any man worth his salt can fix almost any problem with this stuff alone." - Walt Kowalski
"Only two things are infinite - the universe, and human stupidity. And I'm not sure about the universe." - Albert Einstein
Well, the point is the pot impedance makes a difference to the circuit whatever your volume is, it has a lower impedance than the amp, so determines the load on the pickup even at full volume. See fig 14 of http://buildyourguitar.com/resources/lemme/ for what this does. That's the reason for typically using 250k for single coils and 500k for humbuckers.
The tolerance is for the overall pot resistance, so at 20% (which is common for pots, though most of the ones people use for guitars include 10% ones in their ranges) a 250k pot could be 200k to 300k. There's at least one online shop that does a 300k pot with the argument that this guarantees a higher minimum.
Whether it makes a difference may be down to the cables and pickups involved, but ICBM's test puts it in the ballpark of 'probably not much'.
Edit: fix figure number
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