Tonnetz is a simple multi-touch interface for the Lemur iPad app, featuring a virtual MIDI keyboard controlled by a Tonnetz: a lattice diagram representing structural relations of triads in tonal space invented by Leonhard Euler in 1739. Move your finger across the Tonnetz to play triads on the keyboard, and listen as surprising harmonic twists and turns emerge. Use Tonnetz to invigorate your pads and arpeggiators with a trick or two from Schubert’s book, and come up with your own ways of winding around the tapestry of triads!
Watch a DEMO VIDEO here:
The Tonnetz was built using the Canvas object in Lemur 5.2.2. It is designed for simple MIDI note output through a row of Pads, which are by default mapped to notes 61-75 (C#3-D#4).
To learn more about the Tonnetz and other curiosities in the domain of Neo-Riemannian music theory that will blow your mind, I highly recommend you check out Richard Cohn’s fantastic little book, Audacious Euphony:
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