Questions tagged [tonnetz]

For questions related to Leonard Euler's representation of harmonic relationships in a two-dimensional lattice.

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7
votes
2answers
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unconnected tonnetz chords

In terms of Tonnetz analysis, is there any special significance to a chord that does not form a connected graph when using a Tonnetz diagram? For example an augmented 7th chord ( as in C-E-G#-Bb ) is ...
4
votes
2answers
410 views

Are there geometric symmetries in musical harmonics?

This may be more of an acoustical physics question, but is there something fundamental about wave harmonics that also inhere geometric symmetries like a 3:4:5 triangle? The image shows a somewhat ...
12
votes
3answers
2k views

Triangle Tonnetz vs. Hexagon Tonnetz

I have just started to learn about Tonnetz and I've run across two very representations of the same information in different types of Tonnetz. In the first one shown below the triangles represent a ...
17
votes
1answer
663 views

Are there any rules of thumb for shifting the key signature within a tone net?

[ ... struggling with giving this a better title ] I'm working out the algorithmic bases for generation of a tone-net (tonnetz) in preparation for programming the presentation layer. The problem is ...
9
votes
2answers
638 views

Tonnetz algorithms

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.