I don't use them, but I've heard good things about Graph tech nuts and saddles for tuning stability. The saddles aren't very subtle looking mind, don't know if there's any better looking alternatives.
Whatever it is it'll have to look right with the guitar, no modern, hi-tech rubbish! ;)
I'm sure a new nut would help a lot, will chat to my friendly neighborhood guitar tech...
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I don't use them, but I've heard good things about Graph tech nuts and saddles for tuning stability.
The saddles aren't very subtle looking mind, don't know if there's any better looking alternatives.