1-5-11-13 hexany: Difference between revisions

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A [[13-odd-limit]] [[Hexany]] with no factors of 3 or 7. This creates a scale of 1 11/10 13/10 11/8 13/8 143/80 2/1, with steps of 11/10 13/11 55/52 13/11 11/10 160/143. The ratio between the smallest and largest steps is approximately 3:1, but even the smallest step is large enough that playing all the notes together is not overly dissonant.
[[File:Hexany 1 5 11 13.png|thumb|Circle diagram (rotated).]] A [[13-odd-limit]] [[Hexany]] with no factors of 3 or 7. This creates a scale of 1 11/10 13/10 11/8 13/8 143/80 2/1, with steps of 11/10 13/11 55/52 13/11 11/10 160/143. The ratio between the smallest and largest steps is approximately 3:1, but even the smallest step is large enough that playing all the notes together is not overly dissonant.


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Latest revision as of 03:06, 5 October 2025

Circle diagram (rotated).

A 13-odd-limit Hexany with no factors of 3 or 7. This creates a scale of 1 11/10 13/10 11/8 13/8 143/80 2/1, with steps of 11/10 13/11 55/52 13/11 11/10 160/143. The ratio between the smallest and largest steps is approximately 3:1, but even the smallest step is large enough that playing all the notes together is not overly dissonant.

! 1-5-11-13_Hexany.scl
!
1 5 11 13 2-combination Hexany
6
!
165.004
454.213
551.317
840.527
1005.531
1200

Suggested keyboard mapping: C D E F# G# A# C.