3-5-7-9 stellated hexany
The simplest possible no 1's stellated Hexany, and consequently the first one that does not have any duplicated notes. This creates a scale of 1/1 35/32 9/8 7/6 5/4 21/16 45/32 35/24 3/2 105/64 5/3 7/4 15/8 63/32 2/1, with steps of 35/32 36/35 28/27 15/14 21/20 15/14 28/27 36/35 35/32 64/63 21/20 15/14 21/20 64/63. This expands the base hexany out in a quite effective way, with multiple 7-limit otonal and utonal tetrads, including one above the root note. While it does have slightly too many notes to map on a standard keyboard in a regular fashion, it is easy to make it fit by eliminating the two comma steps of 64/63, since those are the obvious weakest points, which would leave a 12 note scale where every note is both harmonically and melodically effective while still having some obviously xenharmonic sounds in it.
! 3-5-7-9_Stellated_Hexany.scl ! 3 5 7 9 1-3-combination Hexany 14 ! 155.139 203.910 266.871 386.313 470.781 590.223 653.184 701.955 857.094 884.358 968.825 1088.268 1172.735 1200