7-9-13-15 by 21/13 bihexany

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Circle diagram

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.

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7 9 13 15 by 21/13 2-combination Bihexany
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119.442
266.871
386.313
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636.617
701.955
756.060
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949.696
1071.701
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