9951 / 18210 · Workshop 82 — Symmetrical Harmony and Harmonic Geometry: Diminished Cycles, Augmented Triads, Whole-Tone Motion, Major-Third Systems, and Escaping Ordinary Tonal Gravity← prev⊞ allnext →
82.44Why only three?
Transpose diminished seventh by:
1 semitone: new set.
2 semitones: new set.
3 semitones: same pitch collection in inversion.
So only three unique diminished sets exist.
Very efficient.