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This discussion briefly addresses the radius of a string nut and a string bridge.
It is recommended that a reader review the article titled: Cone v. Cylindrical Fingerboards
to get an understanding of the curve of a fingerboard on a guitar whether electric, acoustic,
or a classical guitar.
Simply stated, a string nut radius should match the radius of the fingerboard at the first position of a guitar. The bridge of a guitar should also match the finger-board radius. Understanding that certain instruments may have a compound finger-board then two variations of radius should exist.
If a compound board is 7 1/4 at the first position then the nut should comport to this radius.
If the board changes at the 9th fret (for example) then the bridge radius should comply to
to the new radius.
Finally, if the finger-board is a constant radius throughout the board then the string nut
and the bridge saddles (whether butterknife saddle, compensated saddle, or tune-o-matic saddles)
should be at the same radius. Variations of differrent radius' can cause playing issues and should
be checked to ensure the logistics of the instrument is squared.