Something i haven't seen mentioned in the past 4 pages (unless i missed it):
Where are you measuring from?
Using a micrometer, measure from the center of the string to the center of the next string.
Don't measure from string side to string side. If you measure from the side of the string to the side of the next string, the thinner strings will always be further apart than the thicker strings because the thicker strings take up more space. Measure Center-to-Center.
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As far as the tuning pegs, i've seen a lot of P basses over the decades where the E string has a slight bend towards the A string between the nut & tuning peg. It's usually very minor, just because of the thickness of the string. Even on the Fender website, if you look at the pics of the P basses, the E string always has a very slight slant to it.
But in these pictures the E string looks like it's VERY slanted between the nut & peg.
- It looks like it could be because the photos are slightly off-angle. Camera phones are a bit fish-eyed and anything not exactly perfectly dead-straight exaggerates angles. Even straight on, the further away from the center of the photo get a bit distorted.
- Also the E string looks loose, like it's not fully tuned up so there's curve to it; it's not tight & straightened which exacerbates it looking off.
- Maybe the E string is too long or something is weird where the full-width, un-tapered part of the string is wrapping on the post?
In real life (not in a picture), measure the spacing from Center to Center. Put a straight edge from the string center to the tuning pegs. (The E should be at most a string-width's off). If that all measures and lines up, nothing is wrong. Otherwise. talk to Fender or the retailer.