Harken Super Galaxy

v1.0.2 — Hamiltonian path overlay

The 50 pitch-bearing surface points — 20 naturals (12-TET) and 30 spectrals (24-TET) — connect through the interior by chords. Where those chords cross, an interior star forms, carrying the combined pitch membership of every line that meets there. The Grand Singularity at the center is the maximal star, where all diameters converge. The field is tritone-symmetric: each star's antipode carries its 24-TET tritone.

Octahedron6
Dodecahedron — 12-TET20
Decagon — 24-TET spectral30
Icosagon layer — 48-grid60
Total points on sphere110
Pitch-bearing surface points50
Antipodal pairs55
Interior stars (crossings)2,792
  small · medium · large2460·240·92
Pure-natural · pure-spectral · mixed222·1142·1428
Selection
Click any point to inspect