A neo-Riemannian Tonnetz (“tone grid”) mapped onto a torus. In neo-Riemannian harmonic theory, triads are related in terms of the voice leading procedures required to move from one to the other (termed transformations), rather than in functional reference to a stable tonic. Pitches are arranged on the Tonnetz so that consonant triads are formed by triangles. 

A neo-Riemannian Tonnetz (“tone grid”) mapped onto a torus. In neo-Riemannian harmonic theory, triads are related in terms of the voice leading procedures required to move from one to the other (termed transformations), rather than in functional reference to a stable tonic. Pitches are arranged on the Tonnetz so that consonant triads are formed by triangles. 

22 June 2013 ·

122 notes

  1. meandthedevilblues reblogged this from leadingtone
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  4. slcmusiclibrary reblogged this from leadingtone and added:
    Geometry and music theory. Very interesting
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  6. gross-sorcery reblogged this from leadingtone and added:
    Mapping modulation as transformations onto a torus… awesome. Also this paper:...
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  8. indranfernando reblogged this from leadingtone and added:
    WHAT
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    what
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    Wow this is actually incredible useful, stay tuned…
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  20. lawlessdragon reblogged this from leadingtone and added:
    It’s so nerdy!!! :D
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Curtis Lindsay
Pianist, composer,
expert in nonsense.



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