Maj7‡9#11‡13 (harmony in 31-edo)

a vertiginous piano etude exploring the Lydian ‡2, ‡6 motherchord within 31-equal (R - ‡2 - 3 - #4 - 5 - ‡6 - 7) and how it plays against the spectrum. Lydian is almost everyone’s favorite sound. Fortunately, 31-edo has quite a few different flavors of Lydian which remain true to it’s core identity but offer new shades. Lydian ‡2, Lydian ‡6, and Lydian ‡2 ‡6 all sound amazing. I see this as fresh extension of composite II from 12edo so the ‡2 6 form and ‡6 2 form are degenerate forms of the ‡2 ‡6 base form The most obvious JI interpretation of this is /56 but the 31-edo vertical has misalignment with the /56 object on its #11. as such, while the #11 gives the great lydian energy tor this, omission of it allows the /56 gestalt to emerge. another option is to instead use Lydia ‡2 ‡6 which has the ♯‡4 instead. This lydia arrangement regains alignment vertically. #musictheory #microtonal #harmony