Pythagorean fret placement

G - Physics – 10 – D

Patent

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Details

G10D 3/06 (2006.01)

Patent

CA 2740207

The method provides luthiers of fretted instrument with a novel approach for installing frets with increased accuracy. The method is an improvement in calculation of fret placement over the "Rule of 18" because it relies on the length of the vibrating string. This method is more pronounced at the end of the fret board closest to the bridge due to the angle formed by the string when depressed with respect to the axis of the fret board. With respect to the twelve-step octave, the scale length is multiplied by the constant of the twelfth root of 0.5 to calculate the length of the string from fret contact to saddle contact for the next tonal step.

L'invention propose aux luthiers une nouvelle approche pour installer des frettes avec une plus grande précision. La méthode de l'invention permet d'améliorer les calculs pour le positionnement des frettes par rapport à la = règle de 18 = car elle est basée sur la longueur de la corde vibrante. Cette méthode est plus importante au niveau de l'extrémité de la table de frettes la plus proche du chevalet du fait de l'angle formé par la corde quand elle est pressée par rapport à l'axe de la table de frettes. En ce qui concerne l'octave à douze intervalles, la longueur d'échelle est multipliée par la constante de la racine douzième de 0,5 pour calculer la longueur de la corde à partir du contact sur la frette jusqu'au contact sur le sillet du chevalet pour l'étape tonale suivante.

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