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.


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