3-5-9-15 hexany: Difference between revisions

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[[File:3-5-9-15_Hexany.png|thumb|Circle diagram.]] A 5-limit [[Hexany]]. This creates a scale of 1 9/8 5/4 3/2 9/5 2/1, (3/2 appears twice as the reduced products of 3x15 and 5x9) with steps of 9/8 10/9 6/5 6/5 10/9. This scale is a detempered version of the dominant ninth chord found on the fifth degree of the diatonic scale. As this is both more familiar in sound and has fewer compositional possibilities than most hexanies, this is not particularly interesting if you are looking to explore new sounds and only catalogued here for the sake of completeness.
[[File:3-5-9-15_Hexany.png|thumb|Circle diagram.]] [[File:3-5-9-15_Hexany_(rotated).png|thumb|Circle diagram. (rotated) ]] A 5-limit [[Hexany]]. This creates a scale of 1 9/8 5/4 3/2 9/5 2/1, (3/2 appears twice as the reduced products of 3x15 and 5x9) with steps of 9/8 10/9 6/5 6/5 10/9. This scale is a detempered version of the dominant ninth chord found on the fifth degree of the diatonic scale. As this is both more familiar in sound and has fewer compositional possibilities than most hexanies, this is not particularly interesting if you are looking to explore new sounds and only catalogued here for the sake of completeness.
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! 3-5-9-15_Hexany.scl
! 3-5-9-15_Hexany.scl

Latest revision as of 15:18, 8 November 2025

Circle diagram.
Circle diagram. (rotated)

A 5-limit Hexany. This creates a scale of 1 9/8 5/4 3/2 9/5 2/1, (3/2 appears twice as the reduced products of 3x15 and 5x9) with steps of 9/8 10/9 6/5 6/5 10/9. This scale is a detempered version of the dominant ninth chord found on the fifth degree of the diatonic scale. As this is both more familiar in sound and has fewer compositional possibilities than most hexanies, this is not particularly interesting if you are looking to explore new sounds and only catalogued here for the sake of completeness.

! 3-5-9-15_Hexany.scl
!
3 5 9 15 2-combination Hexany
5
!
203.910
386.313
701.955
1017.596
1200

Suggested keyboard mapping: G A B D F G