An university course by Bryan Pardo at Northwestern on how machines perceive and analyze music and audio, including pitch representations such as chromagrams. Commenters point to its published lecture notes.

Commenters point to its lecture notes as a clear source on spiral pitch representations and chromagrams.

What commenters said (1)

1. Recommendscaryme2010in “Piano music visualized on a logarithmic spiral”

   If you find this interesting, you might want to check out the Topic 7 lecture notes from Bryan Pardo's Machine Perception of Music and Audio course at Northwestern University: http://music.cs.northwestern.edu/courses/eecs352/lectures.ph...

   Those notes show an example of a spiral pitch representation and discuss chromagrams (mapping complex wave forms to pitch classes) as well as other concepts.

   For a deeper look, check out the book Signals Sound and Sensation by William M. Hartmann.

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