I’m curious, when we adjust saddle intonation screws and move saddles to make the intonation more accurate, the 1st E string usually has the shortest scale length; the B saddle is pulled back a bit, and the G saddle pulled back even more, giving those two strings slightly longer scale lengths (on a common set of 10-46 strings)
So does the scale length depend upon the gauge of the string, or the note that it is tuned to? (i.e. when you change for example the first string from .009 to .010 but tune it to the same note E do you need to increase the scale length by pulling the saddle back?)
I know that for example with a wound G string the saddle needs to be moved forwards (closer to the nut) reducing significantly the scale length compared to an unwound G string. But that may not be related purely to string gauge since the very structure of the wound string is different...
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