This is because music is one of the most obvious things where it's *all* a tower of abstractions, it stretches from the most concrete "your left pinky does this at this time" all the way up to extremely abstract wacky music theory stuff like Tonnetz
en.wikipedia.org/wiki/Tonnetz
en.wikipedia.org/wiki/Tonnetz
Tonnetz - Wikipedia
en.wikipedia.org
January 14, 2026 at 4:36 PM
This is because music is one of the most obvious things where it's *all* a tower of abstractions, it stretches from the most concrete "your left pinky does this at this time" all the way up to extremely abstract wacky music theory stuff like Tonnetz
en.wikipedia.org/wiki/Tonnetz
en.wikipedia.org/wiki/Tonnetz
have u *seen* a tonnetz diagram ?? theres so much stuff u can do with that shit esp now that we have computers
February 14, 2026 at 7:00 PM
have u *seen* a tonnetz diagram ?? theres so much stuff u can do with that shit esp now that we have computers
babe you ok? you've barely touched your Neo-riemannian Tonnetz torus
July 10, 2023 at 5:22 PM
babe you ok? you've barely touched your Neo-riemannian Tonnetz torus
Claude and I made a Tonnetz visualization of the Shostakovich Fugue in A major: jtauber.github.io/shostakovich...
Illustrates the chromatic mediants really well.
Illustrates the chromatic mediants really well.
Tonnetz — Shostakovich Fugue 7 in A major
jtauber.github.io
February 13, 2026 at 1:17 PM
Claude and I made a Tonnetz visualization of the Shostakovich Fugue in A major: jtauber.github.io/shostakovich...
Illustrates the chromatic mediants really well.
Illustrates the chromatic mediants really well.
Noodled around with a web-based Tonnetz keyboard, and it's cool to see visual representations of how chords and intervals *feel*.
Thinking about a pad-based MIDI device that mapped key positions to these relationships and intervals...
Web-based Tonnetz Keyboard:
cifkao.github.io/tonnetz-viz/
Thinking about a pad-based MIDI device that mapped key positions to these relationships and intervals...
Web-based Tonnetz Keyboard:
cifkao.github.io/tonnetz-viz/
July 6, 2025 at 4:01 PM
Noodled around with a web-based Tonnetz keyboard, and it's cool to see visual representations of how chords and intervals *feel*.
Thinking about a pad-based MIDI device that mapped key positions to these relationships and intervals...
Web-based Tonnetz Keyboard:
cifkao.github.io/tonnetz-viz/
Thinking about a pad-based MIDI device that mapped key positions to these relationships and intervals...
Web-based Tonnetz Keyboard:
cifkao.github.io/tonnetz-viz/
And now, for something completely different
Tonnetz — The Lattice of Triads
A triangular lattice of pitch classes where every triangle is a chord — major triads point up, minor triads point down. Click to sound, and trace the Neo-Riemannian P/L/R transforms.
datapoems.io
June 14, 2026 at 11:16 PM
And now, for something completely different
Just discovered Leonhard Euler's "Tonnetz".
My inability to memorize algebraic processes held me back in math, until geometry/vector math made it click. Same, for visual scripting and shader programming.
Music theory never clicked for me before, but thinking of it *spatially* changes everything.
My inability to memorize algebraic processes held me back in math, until geometry/vector math made it click. Same, for visual scripting and shader programming.
Music theory never clicked for me before, but thinking of it *spatially* changes everything.
July 6, 2025 at 1:08 PM
Just discovered Leonhard Euler's "Tonnetz".
My inability to memorize algebraic processes held me back in math, until geometry/vector math made it click. Same, for visual scripting and shader programming.
Music theory never clicked for me before, but thinking of it *spatially* changes everything.
My inability to memorize algebraic processes held me back in math, until geometry/vector math made it click. Same, for visual scripting and shader programming.
Music theory never clicked for me before, but thinking of it *spatially* changes everything.
3D printed kalimba.
@acidlich.bsky.social -the tonnetz guy
@acidlich.bsky.social -the tonnetz guy
October 10, 2025 at 11:46 PM
3D printed kalimba.
@acidlich.bsky.social -the tonnetz guy
@acidlich.bsky.social -the tonnetz guy
i learned this from music theory :3
the tonnetz chart tiles in this same parallelogramish shape!
the tonnetz chart tiles in this same parallelogramish shape!
August 9, 2025 at 12:13 PM
i learned this from music theory :3
the tonnetz chart tiles in this same parallelogramish shape!
the tonnetz chart tiles in this same parallelogramish shape!
I just graphed some crap on the Tonnetz out of my own free will it's TIME FOR BED
January 30, 2024 at 3:30 AM
I just graphed some crap on the Tonnetz out of my own free will it's TIME FOR BED
The entire grid is known as a “Tonnetz”, as explained in Wikipedia en.wikipedia.org/wiki/Tonnetz — except that unfortunately my convention (and JCB's) is up-down-symmetric wrt the one used in the Wikipedia illustration. 🤷 •8/19
Tonnetz - Wikipedia
en.wikipedia.org
December 30, 2025 at 9:19 PM
The entire grid is known as a “Tonnetz”, as explained in Wikipedia en.wikipedia.org/wiki/Tonnetz — except that unfortunately my convention (and JCB's) is up-down-symmetric wrt the one used in the Wikipedia illustration. 🤷 •8/19
Oh hell I have discovered Tonnetz and I am about to go down an even crazier Music Theory rabbit hole than my time with Non-Functional Harmony in Jazz
thetonnetz.com
Awesome tool for it though, time for some AutDHD hyperfixation to widen my skillset!
thetonnetz.com
Awesome tool for it though, time for some AutDHD hyperfixation to widen my skillset!
The Tonnetz
thetonnetz.com
May 25, 2025 at 7:36 PM
Oh hell I have discovered Tonnetz and I am about to go down an even crazier Music Theory rabbit hole than my time with Non-Functional Harmony in Jazz
thetonnetz.com
Awesome tool for it though, time for some AutDHD hyperfixation to widen my skillset!
thetonnetz.com
Awesome tool for it though, time for some AutDHD hyperfixation to widen my skillset!
Pythogoras meets the Circle of Fifths? When systematized in a 12×12 PC×Key schema, it forms a tonnetz. Implications? No idea.
#musictheory #tonnetz #12TET #acoustics #physics #quantum
#musictheory #tonnetz #12TET #acoustics #physics #quantum
January 8, 2025 at 3:38 PM
Pythogoras meets the Circle of Fifths? When systematized in a 12×12 PC×Key schema, it forms a tonnetz. Implications? No idea.
#musictheory #tonnetz #12TET #acoustics #physics #quantum
#musictheory #tonnetz #12TET #acoustics #physics #quantum
arxiv.org/abs/2604.19960
/Tonnetz Theory, Classical Harmony, and the Combinatorial Geometry of Abstract Musical Resources/
Jeffrey R. Boland, Lane P. Hughston
(reworking of a previous version)
/Tonnetz Theory, Classical Harmony, and the Combinatorial Geometry of Abstract Musical Resources/
Jeffrey R. Boland, Lane P. Hughston
(reworking of a previous version)
Tonnetz Theory, Classical Harmony, and the Combinatorial Geometry of Abstract Musical Resources
In a previous submission, we established a fundamental relation between tone networks and configurations. It was shown that the Eulerian tonnetz can be represented by a $\{12_3\}$ of Daublebsky von St...
arxiv.org
April 23, 2026 at 11:48 AM
arxiv.org/abs/2604.19960
/Tonnetz Theory, Classical Harmony, and the Combinatorial Geometry of Abstract Musical Resources/
Jeffrey R. Boland, Lane P. Hughston
(reworking of a previous version)
/Tonnetz Theory, Classical Harmony, and the Combinatorial Geometry of Abstract Musical Resources/
Jeffrey R. Boland, Lane P. Hughston
(reworking of a previous version)
That’s fun. Reminds me a bit of the spiral array tonnetz in music theory although I would have to think harder to say something sensical about that
February 4, 2025 at 3:27 PM
That’s fun. Reminds me a bit of the spiral array tonnetz in music theory although I would have to think harder to say something sensical about that
Learn ur fractions kids
Just Intonation — The Pure Lattice
The Tonnetz drawn with pure frequency ratios instead of equal temperament. Stacking pure fifths (3/2) and pure thirds (5/4) builds an infinite lattice of just-intoned pitches that never closes back on...
datapoems.io
June 14, 2026 at 11:26 PM
Learn ur fractions kids
Le Tonnetz, que j'ai découvert avec Moreno Andreatta, est évoqué dans ce livre "Les maths sont un tango à 3 temps" de @pradeauyan sorti en septembre. Ceci me rappelle mon interprétation au piano d'une Sonate de Diabelli avec une animation de Tonnetz en commentaire.
November 10, 2025 at 7:07 AM
Le Tonnetz, que j'ai découvert avec Moreno Andreatta, est évoqué dans ce livre "Les maths sont un tango à 3 temps" de @pradeauyan sorti en septembre. Ceci me rappelle mon interprétation au piano d'une Sonate de Diabelli avec une animation de Tonnetz en commentaire.
May 8, 2026 at 2:05 AM
see Hugo Riemann and the Tonnetz structure
September 14, 2026 at 4:49 PM
see Hugo Riemann and the Tonnetz structure
Like the tonnetz visualization! Sounds awesome
December 24, 2024 at 2:04 AM
Like the tonnetz visualization! Sounds awesome
Throw in Riemann’s tonnetz for fun once they get counterpoint.
March 15, 2025 at 5:10 AM
Throw in Riemann’s tonnetz for fun once they get counterpoint.