5-9-11-15 hexany

A 15-odd-limit Hexany. This creates a scale of 1 11/10 11/9 3/2 5/3 11/6 2/1, with steps of 11/10 10/9 27/22 10/9 11/10 12/11. This is 5 quite large small steps and a single big one that is only twice the size of the smaller steps, making it very even and melodically effective. Like many combination product sets in the 2.3.5.11 subgroup, this is essentially a detempered segment of a porcupine scale, which means it will wrap around and start producing microtones after being expanded beyond 8 notes. It has 2 perfect fifths, 2 that are flat by 45/44 and one that is sharp by 100/99. It also has 2 6/5's, but neither of them are between the perfect fifths so it has no simple 5-limit chords.

Circle diagram.

! 5-7-11-15_Hexany.scl
!
5 7 11 15 2-combination Hexany
6
!
165.004
347.407
701.955
884.358
1049.362
1200

Suggested keyboard mapping: C D Eb G A Bb C