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[[File:1-5-13-15_by_16-9_Bihexany.png|thumb|Circle diagram.]] [[File:1-5-13-15_by_16-9_Bihexany_rotated.png|thumb|Circle diagram (rotated).]] A [[13-limit]] [[bihexany]]. This creates a scale of 1 13/12 52/45 39/32 13/10 4/3 13/9 3/2 13/8 5/3 16/9 15/8 2/1, with steps of 13/12 16/15 135/128 16/15 40/39 13/12 27/26 13/12 40/39 16/15 135/128 16/15. This is another instance where using the more complex inversion of the offset interval causes most of the other intervals to cancel out factors, resulting in a more consonant mode overall. While it does have some intervals that are slightly below optimal for melody, they are all still distinct and it has 6 perfect 5ths, all of which are mapped to 7 steps above their roots, giving you an interesting selection of easy to play detempered neutral and barbados chords to choose from, but only one 5-limit major and minor chord, which may actually be an advantage in establishing that solidly as the root note.

<pre>
! 1-5-13-15_by_16/9_Bihexany.scl
!
1 5 13 15 by 16/9 2-combination Hexany
12
!
138.572
250.303
342.482
454.213
498.044
636.617
701.955
840.527
884.358
996.089
1088.268
1200
</pre>

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

1-5-13-15 by 16/9 bihexany - Revision history

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