The Tonnetz

40 pointsposted 5 days ago
by mci

7 Comments

tshaddox

3 hours ago

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...

juancroldan

2 hours ago

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?

tshaddox

26 minutes ago

I only listened briefly on laptop speakers, but it did sound like sometimes the same note of a chord would play at a different octave, almost like it was trying to do voice leading from the previously played chord.

mci

5 days ago

A recent blog post on thatsmaths.com was about Tonenetz, a diagram of harmonic relationships of notes. Tonenetz means 'tone network' in German :-)

gus_massa

4 days ago

Do you have a link to the post in thatsmaths?

mitchbob

3 days ago

pasteldream

an hour ago

> the defects of this tuning method became evident and the more flexible “well-tempered” tuning scheme was devised. This ensures that the ratio of pitch between every two adjacent notes is precisely the same.

The author seems to have confused well-temperament and equal temperament.

It is also odd that he calls just intonation a “simplification” of Pythagorean tuning.