A bizarre coincidence: this morning I was reading about a role for the Möbius strip in music, but it had nothing to do with this! It turns out orbifolds have a

A bizarre coincidence: this morning I was reading about a role for the Möbius strip in music, but it had nothing to do with this! It turns out orbifolds have an application in music theory. Orbifolds are a kind of generalization of a continuous manifold [0]. The mathematician Tymoczko (and others) used orbifolds to describe the abstract geometry of musical chords, in which the Möbius strip is the geometry of the dyad. The work was published in Science [1], and is quite short and readable, but is also summarized in a short article by the AMS [2]. [0]: https://en.wikipedia.org/wiki/Orbifold https://en.wikipedia.org/wiki/Orbifold [1]: https://dmitri.mycpanel.princeton.edu/files/publications/science.pdf https://dmitri.mycpanel.princeton.edu/files/publications/sci... [2]: https://www.ams.org/publicoutreach/math-in-the-media/mmarc-10-2006-media https://www.ams.org/publicoutreach/math-in-the-media/mmarc-1...