1-3-5-7 by 56/45 bihexany

The simplest possible Hexany, offset by a marvellous third. This creates a scale of 1 28/27 49/45 7/6 56/45 5/4 196/135 35/24 14/9 5/3 7/4 49/27 2/1, with steps of 28/27 21/20 15/14 16/15 225/224 784/675 225/224 16/15 15/14 21/20 28/27 54/49. This does not have a 3/2 above the root, but does have 5 other perfect fifths, plus several marvellous ones due to the multiple comma steps of 225/224, making it harmonically excellent, but not particularly great melodically, especially as the size of the largest step is barely reduced either. It is near identical to the 1-3-5-7 by 8/5 bihexany, only with extra comma steps instead of directly duplicated notes, making it more flexible but also more capable of dissonance.

Circle diagram.
Circle diagram. (rotated)
! 1-3-5-7_by_56/45_Bihexany.scl
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1 3 5 7 by 56/45 2-combination bihexany
12
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62.96
147.428
266.871
378.602
386.313
645.473
653.184
764.915
884.358
968.825
1031.786
1200