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