Planar Models use my Ideographic System, we have enhanced traditional Graphs

Two Dimensional Models on Plane

Planet4D Tonnetz -2006

Only Minor and Major Thirds
Uses Bidimentional coloration
Tonal Analysis1

Polarized Tonnetz -2011

Adding Polarisation to the precedent Model
PLR Directions,Valuation
Tonal Analysis2

Spinnen Tonnetz -2013

Adding a Tonal Center materialized by a Spider Web,
Tonal Music3

Shadow Tonnetz -2020

Extention that keeps trace of the Harmonic Path
For deeper Analysis (w.I. Kannanohv)
Tonal Music4

Cube Dance Revisited-2022

Applying Planet4D Complex Coloration to J.Douthett’s Cube Dance
Tonal Musis with Aug Triads

Please refer to my Papers Section for scientific description,


  1. Graph Edges are colored by a Complex Number : (Shape + i Color) ↩︎
  2. With H.Seress, Polarisation and Valuation give extra elements for Analysis ↩︎
  3. The Tonal Center may vary along the Music, this provides additional information ↩︎
  4. By Keeping traces of the Harmonic parkour, we can perform deeper Analyze on the Paths ↩︎

Planet 4D Universe

Scroll to Top