3-5-9-27 hexany

A moderately composite 5-limit Hexany. This creates a scale of 1 81/80 9/8 27/20 3/2 9/5 2/1, with steps of 81/80 10/9 6/5 10/9 6/5 10/9. This is a detemper of the basic 5-limit pentatonic scale, only with one of the notes having two variants a syntonic comma apart that can be used to create or evade dissonance. Since this melodically limited and not very xenharmonic, this is mainly useful for demonstrating the problems that arise from using 5-limit just intonation rather than an equal temperament.

Circle diagram.

Circle diagram (rotated).

! 3-5-9-27_Hexany.scl
!
3 5 9 27 2-combination Hexany
6
!
21.506
203.910
519.551
701.955
1017.596
1200

Suggested keyboard mapping: C C# D F G A# C.