If I read this correctly you have placed the capacitor in parallel with the left leg of the pot. If so this is wrong, you need to place it in series with the pot.
Using a 10K lin pot and a 0.1uf capacitor and a scale of 254 I get a range of 0 - 255 in the last 30% of travel, regardless of the value of scale. However, if a lower value of scale is used, the travel range is reduced, but with a higher value I get the full range (0 - 255) within this 30% of travel. I think that the choice of potentiometer and or the value of the capacitor used is critical if you want to get a full range across 100% of the travel of the pot.





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