3-5-9-15 by 6/5 bihexany
A 5-limit bihexany. This creates a scale of 1 27/25 9/8 6/5 5/4 27/20 3/2 9/5 2/1, with steps of 27/25 25/24 16/15 25/24 27/25 10/9 6/5 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. While it uses simple 5-limit intervals, they do not approximate a full diatonic scale and only 4 of the notes have perfect fifths above them. At least all the intervals are still melodically useful, which is more than can be said for the even more limited 3-5-9-15_by_10/9_bihexany.
! 3-5-9-15_by_6/5_Bihexany.scl ! 3 5 9 15 by 6/5 2-combination Bihexany 8 ! 133.237 203.910 315.641 386.313 519.551 701.955 1017.596 1200
Suggested keyboard mapping: G G# A Bb B C D F G