Mathematical formulae of the all-interval tone-semitone series and the quart modes
Grigori Gennadievich Amosov, Sergei V. Golubkov · arXiv (Cornell University) · 2006
Using the residue class rings we analyze the structure of sequences of musical intervals for the all-interval tone-semitone series and the quart modes as well. The relations we stated show the enharmonic return of the series to the initial point.