3-7-11-15 by 7/5 bihexany
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An 11-limit bihexany with equidistant factors. This creates a scale of 1 15/14 11/10 5/4 77/60 11/8 7/5 3/2 11/7 7/4 11/6 55/28 2/1, with steps of 15/14 77/75 25/22 77/75 15/14 56/55 15/14 22/21 49/44 22/21 15/14 56/55. As the base hexany has factors of 5 on top of half its notes and factors of 7 on the bottom (but not always at the same time), this offset interval is ideal for cancelling them out and producing the greatest number of simple ratios, including a 3/2 above the root for stability, while not introducing any steps smaller than the already existing sixth tone.
! 3-7-11-15_by_7/5_Bihexany.scl ! 3 7 11 15 by 7/5 2-combination Bihexany 12 ! 119.442 165.004 386.313 431.875 551.317 582.512 701.955 782.492 968.825 1049.362 1168.805 1200