Concert #1 in the CEAM, April 21, 2014
Grigori Amosov, Sergei Golubkov. Mathematical formulae of the all-interval tone-semitone series and the quart modes
Grigori Amosov, Sergei Golubkov. Mathematical formulae of the all-interval
tone-semitone series and the quart modes
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.
http://arxiv.org/pdf/math/0607127.pdf
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