Musical Microtonal Scales based in the quantitative measurement of the sensory dissonance of Sethares

William A. Sethares of the University of Wisconsin in Madison, has developed a quantitative theory of the dissonance from the experimental curves of dissonance/consonance for two sinusoidal sounds of different frequency obtained in the sixties from R. Plomp and W. J. M. Levelt. The theory proposes that the intervals more consonants for a given instrument depend on the structure of his timbre. This document explains how you can capture a correct timbre with a computer then to apply the dissonance algorithm to create a musical microtonal scale with criteria.