This model tries to separate the mind-body from the environment.
A real non-commutative phase music model is based on time noncommutativity - not just space noncommutativity.
And so while the brain and body emotions are discussed, the greater left-brain/right-hand technology noncommutative dynamic is ignored (compared to music frequency perception being right-brain dominant, resonating with the left-handed amino acids of life).
And so we get a movie doc overview of the Tonnetz music-math system
This is still a "closed" system of space - whereas real music perception is based on infinite time that can not be seen as a closed parameter.
What this means, as was pointed out to me in correspondence, is that the Bloch Sphere phase can never be originally known for the Universe - and so the "docoherence" from quantum to classical remains as noncommutative phase - aka no "one" is listening.
Creator of the Tonnetz 4D noncommutative spatial music - Dmitri Tymoczko
Why does he project Western music perception onto harmonics?The Generalized Tonnetz - Dmitri Tymoczko - Princeton University
https://dmitri.mycpanel.princeton.edu/tonnetzes.pdfby D Tymoczko - 2012 - Cited by 30 - Related articlesThe Generalized Tonnetz. Dmitri Tymoczko. Abstract This article relates two categories of music-theoretical graphs, in which points represent notes and chords ...Dmitri Tymoczko is a composer and music theorist. His music, which draws on rock, jazz, and ... Tymoczko, D. "The Generalized Tonnetz" (PDF).Dmitri Tymoczko - Wikipedia
https://en.wikipedia.org/wiki/Dmitri_Tymoczko
A non-commutative music theory blog
It's quite funny that my UW-Madison music composition professors bragged that we could get into Princeton and do this computer set mathematics music. I was doing a self-designed global blues music composition degree. They declared my transcription of Schoenberg Piano sonata to string quartet was Communist! haha. I was told to redo my past assignments even though I had already gotten A or B grades on them. I had critiqued their compositions as never to be popular and I was told - no they are just "ahead of their time." hilarious. So I just dropped out.
This Dmitri Princeton Computer math music is total B.S. Boring! Hilarious.
It's quite tragic that academic music composition is now "constrained" by spatial mathematical sets!!
Dmitri says we are "forced to move forward" in time.
Really - he just defined time spatially!
So it's a 4D mobius strip as noncommutative space - but it's still not non-commutative time!
https://elixirfield.blogspot.com/2018/04/whats-43-got-to-do-with-3-not-going.html
That blog post - scroll down - to see Alain Connes with the correct torus as noncommutative time-frequency.
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