All Models based on the Hypersphere, at this time,…

Please refer to my Papers Section for scientific description,

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1. Planet 4D Original Model feature the most Symmetrical Positionning for 12 Notes or Musical Objects ↩︎
2. On the Hypersphere of Chords, we display all minor ans major Triads ↩︎
3. Unlike the Torus, the Spherical Barycenter methods enables reresenting any Set of Notes ↩︎
4. Matching the audible Spectrum to 12 Octaves, we can now vizualise it in 4D (w S.De Gerando) ↩︎
5. Possibilitiy to match Music pieces using other Tonnetze than T₃T₄ (w L.Bigo) ↩︎
6. Using new Symmetries to transform existing chords sequences (w.E.Amiot) ↩︎
7. Emmbeding other Graphs in 4D : Cohn Regions, Douthett CubeDance ↩︎
8. Deforming the Hypersphere according to the musical Temperament (w.A.Calvet) ↩︎
9. Using 2 Entangled Hyperspheres to represent Chords in 24 Tones Music (w.S.DeGerando) ↩︎
10. 4D Musical Space based on Fourier decomposition (w.E.Amiot , J.Yust) ↩︎

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