Guitar Frets are laid out to accomplish an equal tempered division of the octave. Each set of twelve frets represents an octave. The twelfth fret divides the scale length exactly into two halves, and the 24th fret position divides one of those halves in half again. The ratio of the spacing of two consecutive frets is formula_1 (twelfth root of two). In practice, luthiers determine fret positions using the constant 17.817—an approximation to 1/(1-1/formula_1). If the nth fret is a distance x from the bridge, then the distance from the (n+1)th fret to the bridge is x-(x/17.817). Frets are available in
Scale length (string instruments) construction using the Novax Fanned-Fret system that "fan outward" for the ability to play in tune with the unequal scale lengths of each string that is used to find the optimal equal tonal response and equal string tension from string-to-string for easier playing is represented by Dingwall Basses, who uses a 37" to 34" span on their Prima, Z1, Z2, and Afterburner original designs and a shorter 34.25" to 32" span for their "Super J" Jazz Bass design. Helios R-Evolution 7 strings bass Heliosguitars Helios ANTARES 6 strings bass Heliosguitars The scale length of a piano is the length of