1-3-9-17 hexany: Difference between revisions

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[[File:1-3-9-17_Hexany.png|thumb|Circle diagram (rotated).]] A [[17-odd-limit]] [[Hexany]]. This creates a scale of 1 17/16 9/8 17/12 3/2 51/32 2/1, with steps of 17/16 18/17 34/27 18/17 17/16 64/51. This is essentially a subset of 12edo, reminding us how well that encapsulates the 2.3.17.19 subgroup, but a curious one that sounds nothing like the diatonic scale most music is created in. This means it has value in a similar way to using the [[6edo|whole tone scale]], demonstrating how you can create fresh sounding music by selective subtraction rather than adding new elements.
[[File:1-3-9-17_Hexany.png|thumb|Circle diagram.]] A [[17-odd-limit]] [[Hexany]]. This creates a scale of 1 17/16 9/8 17/12 3/2 51/32 2/1, with steps of 17/16 18/17 34/27 18/17 17/16 64/51. This is essentially a subset of 12edo, reminding us how well that encapsulates the 2.3.17.19 subgroup, but a curious one that sounds nothing like the diatonic scale most music is created in. This means it has value in a similar way to using the [[6edo|whole tone scale]], demonstrating how you can create fresh sounding music by selective subtraction rather than adding new elements.
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! 1-3-9-17_Hexany.scl
! 1-3-9-17_Hexany.scl

Latest revision as of 06:50, 16 October 2025

Circle diagram.

A 17-odd-limit Hexany. This creates a scale of 1 17/16 9/8 17/12 3/2 51/32 2/1, with steps of 17/16 18/17 34/27 18/17 17/16 64/51. This is essentially a subset of 12edo, reminding us how well that encapsulates the 2.3.17.19 subgroup, but a curious one that sounds nothing like the diatonic scale most music is created in. This means it has value in a similar way to using the whole tone scale, demonstrating how you can create fresh sounding music by selective subtraction rather than adding new elements.

! 1-3-9-17_Hexany.scl
!
1 3 9 17 2-combination Hexany
6
!
104.955
203.910
603.000
701.955
806.910
1200

Suggested keyboard mapping: C Db D F# G Ab C