My Tele has a gash sounding top e string. Tinny/plinky with poor sustain. My basic feelers gauge and steel rule suggests around 0.25mm relief and 12th fret action on top e as 1.75mm. Pretty normal for me....however the clearance at first fret (measured whilst depressing third fret) is between 0.05mm and 0.10mm. 0.05mm feelergauge fits in easily but the 0.10mm feeler drags a little on bottom of string......no noticeable deflection of string. Might the string be too low? The string is new on cos I thought problem might be an old string issue.
Comments
Is it doing it on fretted notes, or just on the open E?
If it's doing it on fretted notes then it won't be the nut. If you can fit a feeler gauge of any kind in with the string fretted at the third fret, I wouldn't have thought it is the nut.
Might be worth checking the saddle. If it's rough there, or there is wear there that has formed a groove that the string doesn't sit in nicely, that can cause problems.