3-7-13-15 by 7/5 bihexany

From Xenharmonic Wiki
Jump to navigation Jump to search
Circle diagram.

A 13-limit bihexany. This creates a scale of 1 15/14 13/12 65/56 5/4 13/10 7/5 3/2 91/60 13/8 7/4 13/7 2/1, with steps of 15/14 91/90 15/14 14/13 26/25 14/13 15/14 91/90 15/14 14/13 52/49 14/13. This is another way of expanding out the base hexany into a bihexany that cancels out many of the composite ratios to produce simpler ones, including a 3/2 above the root. Like the 3-7-13-15 by 4/3 bihexany, this expands it out to a greater detempered subset of negri, in this case a 9L 1s one with only two notes split into microtonal variants. This makes it the melodically strongest of these options, but gives you fewer options to evade wolf notes when constructing chords.

! 3-7-13-15_by_7/5_Bihexany.scl
!
3 7 13 15 by 7/5 2-combination Hexany
12
!
119.442
138.572
258.015
386.313
454.213
582.512
701.955
721.084
840.527
968.825
1071.701
1200