What's New    


The links below refer to content that we were not able to include in the published book.

Tonnetz Aspects of Stravinsky's Music (PDF)       Tonnetz Aspects of Stravinsky's Music (Listening Examples)

Additional References        Tonnetz Animations      

Geometry of Harmony and Modes in Vaughan Williams' Romanza (PDF)

Vaughan Williams' Romanza (Tonnetz Animations)      Vaughan Williams' Romanza (Listening Example) 

Undergraduate Research     Automatic Chord Identification      Birdsong video