Riemann Dances at Raves

For a while I’ve enjoyed watching Giles Bowkett progress on Archaeopteryx and his comments on other fusions of music and programming. His latest post about Elysium reminds me distinctly of Neo-Riemannian music theory, pitch spaces, and the Tonnetz.

Interestingly, if you remove register considerations and collapse enharmonic pitch classes, the Tonnetz could be represented in higher dimensions on a sphere.