Software

Chord Geometries

ChordGeometries represents chords and voice leadings in a variety of 3D geometrical spaces. You can enter chords on a MIDI keyboard or using the Keyboard window. Voice leadings between successive chords are represented by continuous paths in the spaces. Go to the Chord Geometries 1.1 page.

Voice Leading

This is a little Max object, written in Java, that finds the most efficient voice leading between chords. Very useful for algorithmic composition (Mac OS X only). Download now.

Pitch Mapper

Pitch Mapper is no longer supported, but is still available as a download (Mac OS X only). Download now.

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About the Author

Dmitri Tymoczko is a composer and music theorist who teaches at Princeton University. His 2006 article "The Geometry of Musical Chords" was the first music theory article published in the 127-year history of Science magazine, and was widely covered in the popular press. His music has been performed by ensembles throughout the country, and he has received a Rhodes scholarship, a Guggenheim fellowship, and numerous other awards.