10020 / 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 →
82.113Mini-composition exercise
Write a 32-bar piece that begins tonally, enters symmetrical harmonic space, and returns to tonality.
Requirements:
- opening clearly establishes one major or minor key
- one C-like tonic→augmented→destination transformation
- one chromatic-mediant move with a preserved common tone
- one diminished seventh used as a genuine modulatory junction
- one dominant ♭9 whose diminished upper structure is clearly audible
- one whole-tone dominant passage
- one augmented/major-third root cycle
- one tritone-substitution event preserving the guide-tone shell
- at least four bars where tonic gravity is deliberately weakened by symmetrical material
- one motif sequenced through a symmetrical interval pattern
- symmetry must be broken by a deliberately asymmetrical tonal event
- final cadence must be simpler than the symmetrical climax
The listener should experience:
home → geometry → uncertainty → new possibilities → gravity restored.