3-9-11-13 hexany

A 13-odd-limit Hexany. This creates a scale of 1 13/12 11/9 143/108 13/9 11/6 2/1, with steps of 13/12 44/39 13/12 12/11 33/26 12/11. With two perfect fifths plus a 12 cent sharp one that is still within the diatonic tuning range, this is quite a consonant hexany with strong compositional potential despite a gap of more than 400 cents on one side, which could easily be solved by expanding it into a dekany or bihexany with a suitable offset interval. The most stable mode is rooting it on the 11/9, which has a stable neo-gothic 1 13/11 3/2 39/22 chord above it like it's close relative the 1-3-11-13 hexany and can be played using only the black notes on the keyboard.

Circle diagram.

Circle diagram. (Rotated)

! 3-9-11-13_Hexany.scl
!
3 9 11 13 2-combination Hexany
6
!
138.572
347.407
485.980
636.617
1049.362
1200

Suggested keyboard mapping: C Db Eb F Gb Bb C