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:
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?
Accordion buttons have a row of roots with major thirds off on a diagonal, but in a shifted way that you don't have minor thirds on the opposite diagonal. E.g. there is no CEG triangle.
If the layout did that, you could hit minor and major triads chords by pressing triangles on the first two rows.
Learned about the tonnetz (among other models) from the book "Audacious Euphony"... Challenging (and unfortunately too expensive now), but fascinating stuff...
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[ 5.2 ms ] story [ 31.7 ms ] threadhttps://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...
https://en.wikipedia.org/wiki/Stradella_bass_system
Accordion buttons have a row of roots with major thirds off on a diagonal, but in a shifted way that you don't have minor thirds on the opposite diagonal. E.g. there is no CEG triangle.
If the layout did that, you could hit minor and major triads chords by pressing triangles on the first two rows.
https://en.wikipedia.org/wiki/Tonnetz
Also shows the Tonnetz in the configuration where fifths are horizontal.
https://www.amazon.com/dp/019977269X