9923 / 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 →
82.16Count the octave
12 semitones.
Major third = 4.
12 ÷ 4 = 3.
So three major thirds complete the octave.
This gives:
C
E
G♯/A♭
C.
That is why augmented triad has 3-fold symmetry.