1-3-5-45 stellated hexany
A 5-limit stellated Hexany comprised of three simple numbers and one more complex one. This creates a scale of 1 135/128 5/4 675/512 45/32 3/2 225/128 15/8 2/1, with steps of 135/128 32/27 135/128 16/15 16/15 75/64 16/15 16/15. Like the base hexany, this maps unambiguously to a subset of 12edo, but not a standard diatonic one, forcing you to think creatively about what chords and melodies are available. It does have 5 perfect fifths, plus an additional one that is sharp by a diaschisma, so there are stable rooting points, plus a full diminished seventh chord that is a highly effective way to modulate between them, so it is still above average as scales of this size go.
! 1-3-5-45_Stellated_Hexany.scl ! 1 3 5 45 1-3-combination Hexany 8 ! 92.178 386.313 478.492 590.223 701.955 976.537 1088.268 1200
Suggested keyboard mapping: Bb B D Eb E F Ab A Bb, which maintains the same scale correspondence the base hexany has with the Legend of Zelda ocarina notes.