The H Transform
H on C, voice by voice: the chords it pairs, the voices that step, the source's own words, and every chord each side spells.
On C, H (Hexpole) pairs C (C E G) with Abm (Ab Cb Eb): 3 voices step, 0 hold, and the lead costs 3 semitones.
| Voice | Becomes | Step |
|---|---|---|
| C | Cb | -1 |
| E | Eb | -1 |
| G | Ab | +1 |
What each side spells
- C: C
- Abm: Abm
As the source prints it
Hexpole relates a major triad and the minor triad a major third below, such as C and Abmi.
The Hexpole (H) transformation connects a triad to its modal opposite a third away by moving each voice by a single semitone, generating the hexatonic poles in the hexatonic PL cycle discussed above and shown in Example 12.Its example:
C and Abmi.
— Open Music Theory, 2nd edition, 5.14 Neo-Riemannian Triadic Progressions; Mark Gotham, Kyle Gullings, Chelsey Hamm, Bryn Hughes, Brian Jarvis, Megan Lavengood and John Peterson. The source, read 2026-10-25.