1-7-9-17 by 24/17 bihexany
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A 17-limit Bihexany. This creates a scale of 1 17/16 9/8 17/14 9/7 153/112 24/17 3/2 27/17 12/7 216/119 27/14 2/1, with steps of 17/16 18/17 68/63 18/17 17/16 896/867 17/16 18/17 68/63 18/17 17/16 28/27. This expands the base hexany out in a way that maximises it's melodic evenness, with 8 semitone sized notes, 2 that are noticeably larger and 2 that are noticeably smaller than 12edo. This also gives it 4 perfect fifths and another 4 diatonic ones that are out by 289/288, which means there are plenty of points of stability to build chords upon, albeit not quite as many as the 1-7-9-17 by 4/3 bihexany.
! 1-7-9-17_by 24/17_Bihexany.scl ! 1 7 9 17 by 24/17 2-combination Bihexany 12 ! 104.955 203.910 336.129 435.084 540.039 596.999 701.955 800.909 933.129 1032.083 1137.039 1200