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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 …