5-7-11-15 by 18/11 bihexany

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Circle diagram.

A 15-odd-limit Hexany. This creates a scale of 1 15/14 11/10 33/28 27/22 9/7 3/2 11/7 18/11 135/77 9/5 27/14 2/1, with steps of 15/14 77/75 15/14 126/121 22/21 7/6 22/21 126/121 15/14 77/75 15/14 28/27. This neatly fills out one of the gaps in the base hexany without adding any intervals that are smaller than the existing smallest step, and cancelling some of the factors to keep most intervals fairly simple. However, it does leave a gap of 7/6 on one side of the scale, more than twice as large as any of the other steps, which is very noticeable when contrasted with the others.

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5 7 11 15 by 18/11 2-combination Bihexany
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119.442
165.004
284.447
354.547
435.084
701.955
782.492
852.592
972.034
1017.596
1137.039
1200