Leaderboard

I don't think that's actually true. I went and looked in my old physics book and then confirmed a few other sources as well. The reference calculation is called Taylor's Formula: F = m * f^2 * L^2 The length (L) only refers to the vibrating length of the string, between the inside edge of the saddle and the inside edge of the nut. What we guitar players call "scale length". These links discuss orchestral instruments, but the math is applicable to guitars as well. https://www.thomastik-infeld.com/en/stringtelligence/string-technology/do-changes-in-frequency-or-vibrating-string-length-affect-the-string-tension This one is also by TI but covers more of it in a single article: https://www.thestrad.com/accessories/stringtelligence-by-thomastik-infeld-vibrating-string-length-and-string-tension/9132.article I know this comes up a lot in electric guitars, and acoustic flat tops as well, with regard to the break-angle over the bridge. For instance, the practice of top-wrapping the strings over a Tune-O-Matic tailpiece versus using the holes. It is often said it reduces string tension and make them more "bendy" but tuning the same mass to the same pitch on the same scale, would necessarily mean the same string tension. The break angle does though, alter the down-force of the bridge against the soundboard or body of the instrument. Here's a calculator that will compute the force exerted on soundboard once the string tension is known: https://www.liutaiomottola.com/formulae/downforce.htm