Mathematical formulae of the all-interval tone-semitone series and the quart modes

Details Mathematical formulae of the all-interval tone-semitone series and the quart modes Mathematical formulae of the all-interval tone-semitone series and the quart modes

2006-07-05

arxiv.org/abs/math/0607127v2

Mathematics

Rings and Algebras

8 pages

Scientific paper

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.

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