ThumMusings

Bringing the user interface of music-making into the 21st Century, and changing the world... one note at a time.

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Name: Jim Plamondon
Location: Austin, Texas, United States

This blog documents the development of JIMS iGetIt! Music System (JIMS). JIMS' goal is to help you Understand Music in 24 Hours™, if you are (a) a non-musician (b) who wants to learn how to write your own rock songs. Requiring no instrument other than your own computer, and without using traditional notation, JIMS is being designed to deliver a deep understanding of tonal structure...in just 24 hours.

Saturday, June 16, 2007

Euler's Tonnetz



Check out page 147 of Leonhard Euler's Tentamen Novae Theoriae Mvsicae, published in 1739. This work is often referred to as being the first known occurrence of a musical tonnetz ("harmonic lattice"), but I'd never seen the actual image before today.




Hugo Riemann improved on Euler's tonnetz in the late 1800's, drawing it as a diamond pattern.

Wikipedia has a nice, short article on the tonnetz.

The tonnetz is an integral part of the ThumMusic System.

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