View source for 1-3-5-13 by 18/13 bihexany

[[File:1-3-5-13_by_18-13_Bihexany.png|thumb|Circle diagram.]] A [[13-odd-limit]] [[Hexany]]. This creates a scale of 1 13/12 9/8 15/13 5/4 65/48 18/13 3/2 13/8 5/3 45/26 15/8 2/1, with steps of 13/12 27/26 40/39 13/12 13/12 864/845 13/12 13/12 40/39 27/26 13/12 16/15. As the base hexany has factors of 13 in half its notes, this degree of offset works well to cancel them out and produce other simple ratios, including a full diatonic scale, albeit with a slightly sharpened fourth. 6 notes have perfect fifths above them, 2 have wolf fifths that are flat by [[65/64]] and one has a slightly milder wolf flat by [[81/80]] and all are mapped to 7 steps above their roots, making it intuitive to play despite the quite xenharmonic semiquartal intervals it contains.

<pre>
! 1-3-5-13_by_18/13_Bihexany.scl
!
1 3 5 13 by 18/13 2-combination Bihexany
12
!
138.572
203.910
247.741
386.313
524.886
563.382
701.955
840.527
884.358
949.696
1088.268
1200
</pre>


[[Category:Hexanies]]
[[Category:12-tone scales]]
[[Category:Pages with Scala files]]