Mathematical formulae of the all-interval tone-semitone series and the quart modes
Rings and Algebras
2007-05-23 v2
Abstract
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.
Keywords
Cite
@article{arxiv.math/0607127,
title = {Mathematical formulae of the all-interval tone-semitone series and the quart modes},
author = {Grigori G. Amosov and Sergei V. Golubkov},
journal= {arXiv preprint arXiv:math/0607127},
year = {2007}
}
Comments
8 pages