1-3-5-11 hexany: Difference between revisions

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The simplest possible [[11-odd-limit]] [[Hexany]]. This creates a scale of 1 55/48 5/4 11/8 5/3 11/6 2/1, with steps of 55/48 12/11 11/10 40/33 11/10 12/11. There are 5-limit major and minor chords rooted on the 11/6 and 5/3 that can provide stable roots, but all of the individual steps fall between the cracks of the 12edo keyboard, making for quite xenharmonic melodies.
[[File:Hexany 1 3 5 11.png|thumb|Circle diagram (rotated).]] The simplest possible [[11-odd-limit]] [[Hexany]]. This creates a scale of 1 55/48 5/4 11/8 5/3 11/6 2/1, with steps of 55/48 12/11 11/10 40/33 11/10 12/11. There are 5-limit major and minor chords rooted on the 11/6 and 5/3 that can provide stable roots, but all of the individual steps fall between the cracks of the 12edo keyboard, making for quite xenharmonic melodies.


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Latest revision as of 03:05, 5 October 2025

Circle diagram (rotated).

The simplest possible 11-odd-limit Hexany. This creates a scale of 1 55/48 5/4 11/8 5/3 11/6 2/1, with steps of 55/48 12/11 11/10 40/33 11/10 12/11. There are 5-limit major and minor chords rooted on the 11/6 and 5/3 that can provide stable roots, but all of the individual steps fall between the cracks of the 12edo keyboard, making for quite xenharmonic melodies.

! 1-3-5-11_Hexany.scl
!
1 3 5 11 2-combination Hexany
6
!
55/48
5/4
11/8
5/3
11/6
2/1

Suggested keyboard mapping: C D E F A B C

Music

Phexioenesystems