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Chord Geometries

Jonathan Easey. Chord Geometries. What is it?. Program created by Dmitri Tymoczko of Princeton University Used in conjunction with his paper “The Geometry of Musical Chords” as well as “Generalized Chord Spaces” by Tymoczko , et al. What does it do?.

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Chord Geometries

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  1. Jonathan Easey Chord Geometries

  2. What is it? • Program created by Dmitri Tymoczkoof Princeton University • Used in conjunction with his paper “The Geometry of Musical Chords” as well as “Generalized Chord Spaces” by Tymoczko, et al.

  3. What does it do? • Creates visualizations of chords mapped onto either 2-D or 3-D spatial renderings • Can produce visualizations of single notes, dyads, trichords, or tetrachords • Can map either Pitch-Classes or Set-Classes • Displays lines that represent voice leading between each chordal node on the rendering

  4. How does it work? • Visualizations: Linear Space, Circular Space, Dyadic Space, Dyadic Set-Class Space, Triadic Space, Triadic Set-Class Space, and Tetrachordal Space • Input: Either a Midi Keyboard, or the Keyboard Visualizer provided • Turn on/off MIDI playback • I’ll show you!

  5. Benefits • It’s free! • It could be a handy teaching tool in terms of conceptualizing set-classes • The voice-leading lines are helpful in showing how the chords could progress in a musical context • It could be used easily for research on applying mathematical models to musical ones (like its corresponding paper)

  6. Detractions • It’s not really worth paying for anyway… • Its interface is rather unintuitive • The dot that moves to each chordal node covers the node’s label • You pretty much have to already understand set-class theory in order to grasp what’s going on anyway • It really only exists as a supplement to Tymoczko’s paper (which is very confusing)

  7. Extras • http://music.princeton.edu/%7Edmitri/chopin1.mov • http://music.princeton.edu/%7Edmitri/chopin2.mov • http://music.princeton.edu/%7Edmitri/chopin3.mov

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