Originally Posted by

**aleazk**
Millions, do you know what a differentiable manifold is? A metric? A Levi-Civita connection? The Riemann curvature tensor? A tensor? A geodesic curve? A fibre bundle? A holonomy? Etc.

If not, then please stop using the word geometry, which is more than the platonic solids and their pseudo-mystical interpretations of 2500 years ago...

If you are *that* interested in geometry, I could recommend you some *actual* differential geometry books.

Btw, there seems to be some actual musical theorization using real geometry, done by this Dimitri Tymoczko guy. What I saw seemed correct and rigorous, i.e., doesn't seem a crackpot, although using orbifolds to understand the tonality of a Mozart piece seems a bit like an overkill to me...