The Tonnetz
5 comments
·October 18, 2025tshaddox
I first became aware of this concept many years on Gary Garrett's blog, where he primarily refers to it as "the lattice." His introduction to the concept gives a brief history:
https://www.garygarrett.me/?p=342
More introduction to the lattice:
https://www.garygarrett.me/?p=995
https://www.garygarrett.me/?p=1632
https://www.garygarrett.me/?p=1696
Some comparison audio between equal temperament and just intonation:
https://www.garygarrett.me/?p=1812
Some songs with lattice animations:
https://www.garygarrett.me/?p=103
https://www.garygarrett.me/?p=1253
I also like this book which Gary recommends, although it's very challenging and I never made it all the way through:
https://www.amazon.com/Harmonic-Experience-Harmony-Natural-E...
As an indie music composer, this kind of unusual tone arrangement is great for creativity, thanks! I noticed that the same triangle will play different chords from time to time, is that on purpose?