Music: Practice & Theory Stack Exchange is a question and answer site for musicians, students, and enthusiasts. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

I'm looking for applied algorithms for Riemannian tonnetz.

I was thinking first of the "big bang" approach with some of the 3D projections of tonnetz, but those are overshoot.

share|improve this question
Well, I have no idea about this side of music theory, but I'm interested to see the answers :-) – Dr Mayhem Jun 1 '14 at 15:37
Not sure what the question is. Do you want to know how to construct an alogorithm that projects a Riemann tonnetz unto a hypercube? Or do you want to know what the applications are of such a projection? This article does some stuff with projecting tonnetz perhaps the references are useful to you: – Roland Bouman Jun 1 '14 at 17:14
+0 right now because I have no idea what's being asked. I usually abstain from voting on questions outside my understanding, so I'm not necessarily unhappy with your question, just underqualified to evaluate it. However, unless you're confident that enough other people have knowledge about the type of music theory you're asking about, you might get better responses if you edited your question to provide some background. – Kevin Jun 1 '14 at 18:24
What do you want to achieve with it? I recently caught on tonnetz, and I just took a sheet of paper, drawed it. I'm using cut out paper templates in the shape of a key (cut out that captures all notes that belong in one key) – Roland Bouman Jun 3 '14 at 18:29
I've used the tonnetz concept to visualize chords and chord progressions, so I could see creating an algorithm to draw and animate a tonnetz. But as Roland asks, what is your goal? Music analysis? Visualization? Algorithmic composition? One problem I've always had with the tonnetz is that it does a poor job of visualizing melodic motion so voices appear to jump around chaotically (which is OK -- that's not it's purpose). I read one description, though, that compared voices moving on a tonnetz to chess pieces on a chess board. I'll have to see if I can find it again. – Caleb Hines Jun 3 '14 at 19:22

I'm writing them in a spreadsheet. So far so good but it's far from complete.

share|improve this answer
Where are the sharps? – Johannes Dec 25 '15 at 22:06

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.