1-3-5-7 by 6/5 bihexany
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The simplest possible Hexany, offset by the second simplest interval that puts a 3/2 above the root to create stable chords with. This creates a scale of 1 21/20 7/6 6/5 5/4 7/5 35/24 3/2 5/3 7/4 2/1, with steps of 21/20 10/9 36/35 25/24 28/25 25/24 36/35 10/9 21/20 8/7. Two notes (the unison and 7/4) appear twice, reducing this to a 10 note scale and mildly reducing your compositional options, but ensuring that the steps all remain distinct, with only two quartertones, which are still large enough to be melodically useful.
! 1-3-5-7_by_3/2_Bihexany.scl ! 1 3 5 7 by 3/2 2-combination bihexany 10 ! 84.467 266.871 315.641 386.313 582.512 653.184 701.955 884.358 968.825 1200
Suggested Keyboard Mapping: C Db D Eb E F Gb G A Bb C