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What I believe your getting at is the Guitar's scale which is from the Nut to the Saddles (Bridge).
The angle of the strings past the Nut (going towards the headstock) work, in part, to put the downward pressure of the strings into the Nut's grooves. Because of the distance the B and high E string travel past the nut, angle is lost so a String tree is used to compensate. Therefore, not the shape necessarily, but the angle of the headstock in relation to the neck is what is meaningful...
Is that a help?
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Dennis
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