This system utilized in guitar fingerboards is identical to that of a piano soundboard and creates the same effect.
This measure is the effective length of each of the vibrating strings, not counting compensation for adjusting intonation.
A multi-scale fingerboard or fretboard is typically based on two scale lengths, but could potentially incorporate more.
(Patent #652-353, E. A. Edgren) In his 1900 patent Edgren describes in his claims: "… a musical instrument the combination with a sounding body or box, of the following instrumentalities, to wit: a neck approximately in the form of a double convex in cross section…" a plurality of frets secured to said neck, said frets being positioned at an angle one to the other so that the first and last frets incline in opposite directions "... it will be noted that the bottom flange of the head C runs at an angle so that one side of the neck B will be longer than the side opposite.
Starrett developed a tapping instrument that employs a matrix of halftones, fretted horizontally with strings spaced vertically, to allow one fingering to cover all scales.
Proponents of this style of guitar claim such benefits as comfort, better ergonomics, better intonation, and better control of the tension of the strings across the fretboard.