All of my guitars that I've put linear pots into are a smooth taper all the way through the sweep. Those with logarithmic pots have an almost on off effect from 6/7 to 10. It sounds to me like your linear pot is messed up or is actually a reverse logarithmic taper. Either way it sounds like you need it changed. The taper of a logarithmic pot is what makes it great for pinky swells because 80% of the control is after 6 on the knob. Try doing the same pinky swell on a linear pot and you have to roll the knob down to 2. Plus the logarithmic pot is what the ear actually perceives like a dopler effect. It's nearly impossible.But the ear perceives the linear to have a sharper on/off effect and do less in the 6-10 range, with the effect mainly kicking in suddenly at sat 4-3. That’s how my strat works at the moment - not useful.
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