1-3-9-135 hexany: Difference between revisions

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[[File:1-3-9-17_Hexany.png|thumb|Circle diagram.]] A [[5-limit]] [[Hexany]]. This creates a scale of 1 135/128 9/8 45/32 3/2 405/256 2/1, with steps of 135/128 16/15 5/4 16/15 135/128 512/405. This is near identical to the [[1-3-9-17 hexany]], but with the septendecimal intervals replaced by more complex 5-limit ones. It still has 4 perfect fifths, albeit positioned in a way that does not give any standard chords with thirds, which means it does not approximate common practice music in itself, but is fertile ground for being expanded into a dekany or bihexany with the right offset interval.  
[[File:1-3-9-135_Hexany.png|thumb|Circle diagram.]] A [[5-limit]] [[Hexany]]. This creates a scale of 1 135/128 9/8 45/32 3/2 405/256 2/1, with steps of 135/128 16/15 5/4 16/15 135/128 512/405. This is near identical to the [[1-3-9-17 hexany]], but with the septendecimal intervals replaced by more complex 5-limit ones. It still has 4 perfect fifths, albeit positioned in a way that does not give any standard chords with thirds, which means it does not approximate common practice music in itself, but is fertile ground for being expanded into a dekany or bihexany with the right offset interval.  
<pre>
<pre>
! 1-3-9-17_Hexany.scl
! 1-3-9-135_Hexany.scl
!
!
1 3 9 17 2-combination Hexany
1 3 9 135 2-combination Hexany
6
6
!
!

Latest revision as of 23:52, 21 January 2026

Circle diagram.

A 5-limit Hexany. This creates a scale of 1 135/128 9/8 45/32 3/2 405/256 2/1, with steps of 135/128 16/15 5/4 16/15 135/128 512/405. This is near identical to the 1-3-9-17 hexany, but with the septendecimal intervals replaced by more complex 5-limit ones. It still has 4 perfect fifths, albeit positioned in a way that does not give any standard chords with thirds, which means it does not approximate common practice music in itself, but is fertile ground for being expanded into a dekany or bihexany with the right offset interval. 

! 1-3-9-135_Hexany.scl
!
1 3 9 135 2-combination Hexany
6
!
92.178
203.910
590.223
701.955
794.133
1200

Suggested keyboard mapping: C Db D F# G Ab C

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