7-9-13-15 by 21/13 bihexany
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A 13-limit bihexany. This creates a scale of 1 15/14 7/6 5/4 35/26 13/9 3/2 65/42 21/13 5/3 45/26 13/7 2/1, with steps of 15/14 49/45 15/14 14/13 338/315 27/26 65/63 882/845 65/63 27/26 338/315 14/13. This fills in the large gap in the base hexany quite effectively, putting a 5-limit major chord above the root without also adding any intervals under 50 cents, and reducing the size of the largest gap to just under 150 cents, making every step melodically effective.
! 7-9-13-15_by_21_13_Bihexany.scl ! 7 9 13 15 by 21/13 2-combination Bihexany 12 ! 119.442 266.871 386.313 514.611 636.617 701.955 756.060 830.253 884.358 949.696 1071.701 1200