9949 / 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 →
82.42Level 20 — one diminished chord, four dominant roots
Take pitch set:
B-D-F-A♭.
Possible dominant ♭9 roots lie a major third? Let's derive by placing root a major third below one diminished member / semitone relationships.
The practical exercise is easier:
keep RH diminished chord fixed.
Change LH bass among compatible dominant roots.
Listen to different dominant interpretations.
For example:
G bass gives G7♭9.
E bass produces E7♭9-ish only with different diminished set, so choose systematically rather than randomly.