1-9-11-15 by 72/55 bihexany
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An 11-limit Hexany. This creates a scale of 1 12/11 55/48 11/9 27/22 72/55 11/8 3/2 8/5 5/3 9/5 15/8 2/1, with steps of 12/11 605/576 16/15 243/242 16/15 605/576 12/11 16/15 25/24 27/25 25/24 16/15. This expands out the base hexany in a way that cancels out many of the composite ratios, leaving a string of simple ones in the second half of the scale, putting a perfect fifth above the root for stability and only adding one interval that is so small as to be melodically unusable.
! 1-9-11-15_by_72/55_Bihexany.scl ! 1 9 11 15 by 72/55 2-combination Bihexany 12 ! 150.637 235.676 347.407 354.547 466.278 551.317 701.955 813.686 884.358 1017.596 1088.268 1200