MatheMusic4D.Net  数 学和音乐 Educational Movies                       

From Circle to Hyperspheres, When Music goes 4D
?I suppose one might find it necessary to pass into the fourth dimension? (H.S.M Coxeter)

This site is dedicated to learning how we can represent Music in 4D Spaces, you will find:


Please refer to www.Planetes.Info, for 

  • scientific and historical details of the Planet-4D models,
  • link to presententations (Fr/En) for different audiences,
  • papers, scenari  and abstracts,
  • downloadable  movies, images.
Playlists:
My Channel :  Playlists
Get Informed::
Subscribe to My Channel

 !! Lots of YouTube Video Embedded =  Page loads slow . Pls  enable content in I.Explorer !!

1: The Educational Movies: From Circle to Hyperspheres.

Part 1: Mathemusical Theory

From Circle to Hyperspheres

Episode I

When Tonnetze go 4D

Premiered at MCM 2011,

IRCAM, Centre Pompidou, Paris.

Part 2: Mathemusical Theory

From Circle to Hyperspheres

Episode II

Odd Symmetries, Spectra and G-Tonnetze

Premiered at MCM 2013,

Université McGill, Montreal QC.
Webpage Under Construction, Video available on my YouTube Channel.

 

Part 1+2: Theory +

Musical Applications

From Circle to Hyperspheres,
When Music Goes 4D
All Content with Musical Applications Included
The Fastest Way to understand Planet-4D System
Webpage Under Construction, Video available on my YouTube Channel.

2: Leaning Path: The Planet-4D Hyperspheres.

Follow each theoretical Lecture at your own Speed, listen to the corresponding musical Applications.

Act Lecture Musical Application
1 1D Circular Representation
Don't think linear
2 2D Planar Tonnetze

3 3D Torus

4 4D Combining 2x2D Spaces

5 4D The Planet-4D Model: Pitch and Chordal Space

6 2D Chordal Space

 The 3 keys in giant Steps are in The Planet-4D Model

7 3D Ideograms

8 The Hypersphere of Chords
Beethoven and the Hypersphere

Hamiltonian Path on the Hypersphere with G. Albini


Baby Alone in Babylone


9 The Hypersphere of AnySet
Beethoven and the Hypersphere of AnySet

Hamiltonian Path on the Hypersphere of AnySet with G.Albini


Atonal  Music / Webern 6te Bagatelle



10 Odd Symmetries or Are They ?
Webpage Under Construction, Video available on my YouTube Channel.
Beethoven through the Looking Glass,with E. Amiot
Webpage Under Construction, Video available on my YouTube Channel.
11

The Hypersphere of Tonnetze

Webpage Under Construction, Video available on my YouTube Channel.


12 Generalized Tonnetze:
Morphing Musical Patterns  in 2D
Webpage Under Construction, Video available on my YouTube Channel.

13 Generalized Tonnetze:
Morphing Musical Patterns  in 4D    
Webpage Under Construction, Video available on my YouTube Channel.
Morphing Beethoven 4D, with L.BigoD
Webpage Under Construction, Video available on my YouTube Channel.
14 The HyperSphere of Spectra
Webpage Under Construction, Video available on my YouTube Channel.

Experimental Music Theory, Fourier Scratching by T.Noll
Video in Production

The Spirit of All by S. de Gérando

Hyperspheres and Bubbles with Casey J. Basichis
Video to be approved
15 Vizualisations Modes in the HypSphere of Spectra
Webpage Under Construction, Video available on my YouTube Channel.

16 Credits:
Webpage Under Construction, Video available on my YouTube Channel.


3: Friends Links to Other Models.

SMCM
IRCAM / Mamux
Encyclospace.org
Tymoczko.com
Elaine Chew




Contact: Gilles Baroin, PhD, Mathemusician, Gilles@Mathemusic.Net