Rare Chords: Supermothrian Polychords | Maj7b4b8♮13‡14⇂16b23 (harmony in 31-edo)

dreamy clouds of pitch set into motion through the outwards unfolding of wide and concentric lines

this piece turned from a demonstrative video to something musically important to me.

theory stuff:
i've discussed mothra [6] before on the channel. it's the supermajor hexatonic scale and has it's own set of modes. it's a unique tonal space all together. the "chromatic" equivalent is an 11 pitch space. representing it as a spectral chordscale with the "brightest mode" (10|0) creates the supermothra object. basically, Au7‡2‡6 or ultramajor7 with ‡2 and ‡6 in a more tertian expression. Extending this up gives Moth♮9‡10‡14 or more simply Imoth/IImoth lol.

taking this Imoth/IImoth and superimposing it b8 from a central root creates a beautiful upperstructure against a maj7. this is expressed as b8supermoth/Imaj7. Enharmonically equivalent to ‡VIIsupermoth/Imaj7 but the b8 will make the superstructure clearer to the actual player since it creates triplings of the third, seventh, and ninth.

i call this superstructure a hypermajor object because its core base is a maj7 chord while populating the interval spectrum with:
3, ‡10, #10
7, ‡14, #14
2, ⇂9, b9
6, ⇂6

it does not specify a fourth though!! which totally keeps it open as like a dense but still be defined hypermajor base quality open to being pushed lydian, roselike, lydia, ionian, etc.

#musictheory #microtonal #harmony