3-5-9-15 by 10/9 bihexany
A 5-limit bihexany. This creates a scale of 1 10/9 9/8 5/4 25/18 3/2 5/3 9/5 2/1, with steps of 10/9 81/80 10/9 10/9 27/25 10/9 27/25 10/9. This is mainly notable for the sheer number of repeated notes, as the base hexany already has one repeated one reducing it to a pentatonic scale, this duplicates another two, which when combined results in a mere 8 notes rather than 12. As such it is one of the most limited bihexanies possible in terms of combinations and varieties of intervals, with only 3 different step sizes and only 7 distinct notes, due to having 10/9 and 9/8 adjacent to each other, creating a chorused dissonance if they are played together. This is a detempered version of the lydian dominant or melodic minor scale, with four perfect fifths and two each of minor & major chords. As such it isn't too hard to compose with, but is relatively unadventurous compared to the many more xenharmonic bihexanies out there with a full 12 notes to choose from.
! 3-5-9-15_by_10/9_Bihexany.scl ! 3 5 9 15 by 10/9 2-combination Bihexany 8 ! 182.403 203.910 386.313 568.717 701.955 884.358 1017.596 1200
Suggested keyboard mapping: F F# G A B C D Eb F