3-5-11-15 stellated hexany

An 11-limit Stellated Hexany. This creates a scale of 1 275/256 55/48 75/64 5/4 165/128 11/8 25/16 5/3 55/32 11/6 15/8 2/1, with steps of 275/256 16/15 45/44 16/15 33/32 16/15 25/22 16/15 33/32 16/15 45/44 16/15. (5/4 and 55/48 each appear twice, reducing this to a 12 note scale). Due to the repeated notes, this can be mapped onto a standard keyboard. Unlike the base hexany, this does not put a 3/2 above the root and so is best used in a rotated mode that has the greatest number of simple ratios. It does have 6 perfect fifths and a decent number of highly consonant chords, but it also has two comma sized steps that are on the borderline of useful size for melody, making it highly usable but not completely optimal as a 12-note scale.

Circle diagram.
Circle diagram. (rotated)
! 3-5-11-15_Stellated_Hexany.scl
!
3 5 11 15 1-3 combination Hexany
12
!
123.945
235.676
274.582
386.313
439.586
551.317
772.627
884.358
937.631
1049.362
1088.268
1200