MatheMusic Videos
\n\n\nSchubert D960 — Mise en Scène
A passage from the final movement of Schubert's Piano Sonata in B-flat major, D. 960 (1828), shown simultaneously on three models: a circle of thirds, a diatonic pitch-class circle, and a hypertoroidal Tonnetz. Each model reveals a different structural property of the same music. Graphics for the MIT Press book by Richard Cohn.
Content
Planet-4D family
Tonnetz family
Other models
Style
Generalized Tonnetze on the 4D Hypersphere — Louis Bigo
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JQZ Involutions in Hyperspace — Franck Jedrzejewski
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From Circle to Hyperspheres — Chap 00 (Intro)
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From Circle to Hyperspheres — Chap 01: One Dimension (Circular Representation)
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From Circle to Hyperspheres — Chap 02: Two Dimensions (Planar Tonnetz)
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From Circle to Hyperspheres — Chap 03: Three Dimensions (Torus & Tonnetz)
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From Circle to Hyperspheres — Chap 04: Four Dimensions (Combining Two 2D Spaces)
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From Circle to Hyperspheres — Chap 05: The Planet-4D Pitch and Chordal Space
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From Circle to Hyperspheres — Chap 06: Traditional Chordal Spaces
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From Circle to Hyperspheres — Chap 07: 3D Ideograms
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From Circle to Hyperspheres — Chap 08: The Hypersphere of Chords
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From Circle to Hyperspheres — Chap 09: The Hypersphere of AnySet
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From Circle to Hyperspheres — Chap 99 (Credits)
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From Circle to Hyperspheres — Chap 10: Odd Isometries
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From Circle to Hyperspheres — Chap 11: Hypersphere of Tonnetze
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From Circle to Hyperspheres — Chap 12: Morphing in 2D
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From Circle to Hyperspheres — Chap 13: Morphing in 4D
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From Circle to Hyperspheres — Chap 14: Hypersphere of Spectra
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From Circle to Hyperspheres — Chap 14 (alternate cut): Hypersphere of Spectra — Construction
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From Circle to Hyperspheres — Chap 15: Hypersphere of Spectra Views
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From Circle to Hyperspheres — Chap 16a: End Credits
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From Circle to Hyperspheres — Chap 16b: Hypersphere Chicken Wire
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From Circle to Hyperspheres — Chap 17: Analogies of Tonnetz Regions
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From Circle to Hyperspheres — Chap 18: Hypersphere Regions
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From Circle to Hyperspheres — Chap 19: Embedding Graphs into 4D
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From Circle to Hyperspheres — Chap 20: Polarized Tonnetz
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From Circle to Hyperspheres — Chap 21: Harmonic Vertical Paths
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From Circle to Hyperspheres — Chap 22: Harmonic Horizontal Paths
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From Circle to Hyperspheres — Chap 23: Spinnen Tonnetz
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From Circle to Hyperspheres — When the Tonnetze Go 4D (Full Film)
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Visualizing Temperaments 1: The Pythagorean Example
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Visualizing Temperaments 2: One Dimension as Usual
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Visualizing Temperaments 3: Two Dimensions Works
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Visualizing Temperaments 4: Two-D Comparisons
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Visualizing Temperaments 5: Two-D Chords
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Visualizing Temperaments 6: Tempered Chromatic Circle (Zarlino)
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Visualizing Temperaments 7: Three-D Cube
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Visualizing Temperaments 8: Tempered Harmonic Cube (Bach)
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Visualizing Temperaments 9: Planet-4D Flashback
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Visualizing Temperaments 10: Tempered Planet-4D
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Visualizing Temperaments 11: Four-D Chords
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Visualizing Temperaments 12: Tempered Hypersphere
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Visualization of Temperaments — JIM Paris 2020 (EN)
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Visualisation de Tempéraments — JIM Paris 2020 (FR)
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Temperamentvisualisierung — JIM Paris 2020 (DE)
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Visualisation de Tempéraments (version courte commentée)
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Visualisation of Temperaments (Short Version with Audio Comments)
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The Well-Tempered Meantone — In Search of Lost Temperament
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Hypersphère des Spectres — Conférence Part 4: Quaternions & Construction (FR)
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Hypersphère des Spectres — Conférence Part 5: Construction & Realisation (FR)
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Hypersphère des Spectres — Conférence Part 7: Aesthetics of the Work (FR)
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Construction of the Hypersphere of Spectra (EN)
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Hyperspheres and Bubbles
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MaMuX 2012 — Baroin & de Gérando (IRCAM Seminar)
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SpinnenTonnetz — Animation Sample 1
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SpinnenTonnetz — Animation Sample 2
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SpinnenTonnetz — Animation Sample 3
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SpinnenTonnetz — Animation Sample 4
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SpinnenTonnetz — Animation Sample 5
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SpinnenTonnetz — Animation Sample 6
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SpinnenTonnetz — Animation Sample 7
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SpinnenTonnetz — Animation Sample 8
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Parsifal Loops — Harmonic Movements in Wagner's Parsifal Prelude
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La Sera (ZhiZhu) — Andreatta
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The Shadow Tonnetz — From Genesis to Generation (Moscow Conservatory 2021)
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Tchaikovsky — Swan Lake Visualization
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Blue Moon — Mise en Scène
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Blue Moon — A Triadic Circle-of-Thirds Graph
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Blue Moon — An Eulerian Tonnetz
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Blue Moon — A Diatonic Möbius Strip
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Schubert D960 — Mise en Scène
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Schubert D960 — Circle of Thirds
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Schubert D960 — Diatonic Pitch Classes by Thirds
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Schubert D960 — A Hypertoroidal Tonnetz
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The Mercy Seat — On the Cube Dance
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Beethoven and the Hypersphere
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Beethoven and the Hypersphere of AnySet
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Chopin and the Hypersphere of AnySet
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Chopin — Hypersphere of AnySet (with Chords)
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Hamiltonian Path on the Hypersphere
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Hamiltonian Path on the Hypersphere of AnySet
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Madeleine — Harmonic Path in Paolo Conte
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Sotto le Stelle del Jazz — Paolo Conte
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Blues Circular Representation
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Did Zappa Know He Was Drawing 4 Zs in the Tonnetz?
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The Windmills of Your Mind — Descending Fifths in 2D and 4D
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A Nho Anh — Vietnamese Contemporary Folk Song
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HamilFloyd — The Gunner's Dream Extended
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Baby Alone in Hyperspace (Brahms / Gainsbourg / Birkin)
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Cold Planet (Klaus Nomi / Purcell)
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Giant 4D Steps (Coltrane)
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Webern on the Hypersphere
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Stravinsky on the Hypersphere
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Schoenberg on the Hypersphere
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The Spirit of All — 4D to 2D Top View
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The Spirit of All — 4D View
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Sa Vie Défiler — Planet-Loops Experiment
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The Shepard-Risset Effect
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Double Jeu — Two Hands on the Planet-3D Model
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Laval — Hamiltonian Jazz Training
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From 1D to 4D Hypercubes
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Domenedio — A Mathemusical Game (Andreatta)
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Domenedio — Tricky Solution
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4'33 für DD
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Conférence Interactive 2017 (Full)
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Musique et Mathématique — Andreatta, Amiot, Baroin
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Conférence — Films Commentés, Bordeaux 2013
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MatheMusical Virtual Museum — Kyoto 2023
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The Planet-4D Family
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MatheMusical Virtual Museum — Trailer
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MatheMusical Virtual Museum — Overview of the Facilities
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MMVM — If Newton Was Here
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MMVM — Georgia Torii (Torii of Phases)
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MMVM — CubeHarmonic
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MMVM — Entangled Hyperspheres for 24-Tone Compositions
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MMVM — Hypersphere / Planet-4D (Chicken Wire)
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MatheMusical Virtual Museum — The Tonnetz
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MatheMusical Virtual Museum — The Cube Dance
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MatheMusical Virtual Museum — Möbius Strip
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MatheMusical Virtual Museum — Entangled Hyperspheres
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MatheMusical Virtual Museum — Newton Circle Revisited
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Labyrinthe du Temps — Zero Point: Starting Space
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Labyrinthe du Temps — Zero Point: Salle Noire
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Labyrinthe du Temps — Terrasse Sud
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Labyrinthe du Temps — Terrasse Nord
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Labyrinthe du Temps — Géode
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Labyrinthe du Temps — Installation Example
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Generalized Tonnetze on the 4D Hypersphere — Louis Bigo
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JQZ Involutions in Hyperspace — Franck Jedrzejewski