1-5-13-15 by 16/9 bihexany

A 13-limit bihexany. This creates a scale of 1 13/12 52/45 39/32 13/10 4/3 13/9 3/2 13/8 5/3 16/9 15/8 2/1, with steps of 13/12 16/15 135/128 16/15 40/39 13/12 27/26 13/12 40/39 16/15 135/128 16/15. This is another instance where using the more complex inversion of the offset interval causes most of the other intervals to cancel out factors, resulting in a more consonant mode overall. While it does have some intervals that are slightly below optimal for melody, they are all still distinct and it has 6 perfect 5ths, all of which are mapped to 7 steps above their roots, giving you an interesting selection of easy to play detempered neutral and barbados chords to choose from, but only one 5-limit major and minor chord, which may actually be an advantage in establishing that solidly as the root note.

Circle diagram.

Circle diagram (rotated).

! 1-5-13-15_by_16/9_Bihexany.scl
!
1 5 13 15 by 16/9 2-combination Hexany
12
!
138.572
250.303
342.482
454.213
498.044
636.617
701.955
840.527
884.358
996.089
1088.268
1200