1-3-5-13 hexany: Difference between revisions

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A [[13-odd-limit]] [[Hexany]]. This creates a scale of 1 13/12 5/4 65/48 13/8 5/3 2/1, with steps of 13/12 15/13 13/12 6/5 40/39 6/5. There are 5-limit major and minor chords rooted on the 13/12 and 5/3 that can provide stable roots, but most of the individual steps fall between the cracks of the 12edo keyboard, making for quite xenharmonic melodies.
[[File:Hexany 1 3 5 13.png|thumb|Circle diagram (rotated).]] A [[13-odd-limit]] [[Hexany]]. This creates a scale of 1 13/12 5/4 65/48 13/8 5/3 2/1, with steps of 13/12 15/13 13/12 6/5 40/39 6/5. There are 5-limit major and minor chords rooted on the 13/12 and 5/3 that can provide stable roots, but most 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).

A 13-odd-limit Hexany. This creates a scale of 1 13/12 5/4 65/48 13/8 5/3 2/1, with steps of 13/12 15/13 13/12 6/5 40/39 6/5. There are 5-limit major and minor chords rooted on the 13/12 and 5/3 that can provide stable roots, but most of the individual steps fall between the cracks of the 12edo keyboard, making for quite xenharmonic melodies.

! 1-3-5-13_Hexany.scl
!
1 3 5 13 2-combination Hexany
6
!
13/12
5/4
65/48
13/8
5/3
2/1

Suggested keyboard mapping: C Db E F G# A C

Music

Phexioenesystems