1-9-13-15 hexany: Difference between revisions

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[[File:1-9-13-15_Hexany.png|thumb|Circle diagram.]] An [[11-limit]] [[Hexany]]. This creates a scale of 1 65/48 13/9 13/8 5/3 15/8 2/1, with steps of 65/48 16/15 9/8 40/39 9/8 16/15. This is another lopsided hexany where all the intervals are on one side of the scale with a gap of nearly 600 cents on the other, making it easy to complete the circle by expanding it out into a bihexany without having any unusably small intervals, although at least one step of 65/64 is inevitable if you want access to 5-limit chords.
[[File:1-9-13-15_Hexany.png|thumb|Circle diagram.]] A [[13-limit]] [[Hexany]]. This creates a scale of 1 65/48 13/9 13/8 5/3 15/8 2/1, with steps of 65/48 16/15 9/8 40/39 9/8 16/15. This is another lopsided hexany where all the intervals are on one side of the scale with a gap of nearly 600 cents on the other, making it easy to complete the circle by expanding it out into a bihexany without having any unusably small intervals, although at least one step of 65/64 is inevitable if you want access to 5-limit chords.


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Latest revision as of 07:53, 5 November 2025

Circle diagram.

A 13-limit Hexany. This creates a scale of 1 65/48 13/9 13/8 5/3 15/8 2/1, with steps of 65/48 16/15 9/8 40/39 9/8 16/15. This is another lopsided hexany where all the intervals are on one side of the scale with a gap of nearly 600 cents on the other, making it easy to complete the circle by expanding it out into a bihexany without having any unusably small intervals, although at least one step of 65/64 is inevitable if you want access to 5-limit chords.

! 1-9-13-15_Hexany.scl
!
1 9 13 15 2-combination Hexany
6
!
524.886
636.617
840.527
884.358
1088.268
1200

Suggested keyboard mapping: C F Gb Ab A B C.