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For questions on mathematical problems arising from music theory, e.g. scales, harmonies, rhythms, and compositional techniques (such as dodecaphony or minimalism).

2 votes

What does the space induced by this unusual metric(?) on R/Z look like?

Let me give a try for tempered scales. (In a tempered scale, the ratio of frequencies for adjacent halftones is always $2^{1/(12)}$.) In this case, we want a distance on $\mathbb R/\mathbb Z$ (with c …
Roland Bacher's user avatar