1-3-9-15 by 7/6 bihexany

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Circle diagram.

A 7-limit bihexany. This creates a scale of 1 35/32 9/8 7/6 5/4 21/16 45/32 35/24 3/2 105/64 7/4 15/8 2/1, with steps of 35/32 36/35 28/27 15/14 21/20 15/14 28/27 36/35 35/32 16/15 15/14 16/15. This is one of the better ways of filling in the gap in the base hexany, with some of the factors cancelling out to create new simple ratios, although the ratio between the largest and smallest steps is still over 3:1 and some of the 8 perfect fifths are not mapped to 7 steps on the keyboard.

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1 3 9 15 by 7/6 2-combination Bihexany
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155.139
203.910
266.871
386.313
470.781
590.223
653.184
701.955
857.094
968.825
1088.268
1200