1-5-7-9 hexany: Difference between revisions

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A [[9-odd-limit]] [[Hexany]]. This creates a scale of 1 9/8 7/5 63/40 7/4 9/5 2/1, with steps of 9/8 56/45 9/8 10/9 36/35 10/9. This forms an incomplete detemper of the [[6edo]] scale with one note omitted and another split into two different notes a quartertone apart, making for a quite xenharmonic sound. Since there are no 3/2's to be found anywhere, the most stable notes are probably the two with a 5/4 above them, particularly the one with both 8:9:10 harmonic and 9/9 9/8 9/7 subharmonic sequences above it.   
[[File:Hexany 1 5 7 9.png|thumb|Circle diagram (rotated).]] A [[9-odd-limit]] [[Hexany]]. This creates a scale of 1 9/8 7/5 63/40 7/4 9/5 2/1, with steps of 9/8 56/45 9/8 10/9 36/35 10/9. This forms an incomplete detemper of the [[6edo]] scale with one note omitted and another split into two different notes a quartertone apart, making for a quite xenharmonic sound. Since there are no 3/2's to be found anywhere, the most stable notes are probably the two with a 5/4 above them, particularly the one with both 8:9:10 harmonic and 9/9 9/8 9/7 subharmonic sequences above it.   


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Latest revision as of 03:10, 5 October 2025

Circle diagram (rotated).

A 9-odd-limit Hexany. This creates a scale of 1 9/8 7/5 63/40 7/4 9/5 2/1, with steps of 9/8 56/45 9/8 10/9 36/35 10/9. This forms an incomplete detemper of the 6edo scale with one note omitted and another split into two different notes a quartertone apart, making for a quite xenharmonic sound. Since there are no 3/2's to be found anywhere, the most stable notes are probably the two with a 5/4 above them, particularly the one with both 8:9:10 harmonic and 9/9 9/8 9/7 subharmonic sequences above it.

! 1-5-7-9_Hexany.scl
!
1 5 7 9 2-combination Hexany
6
!
9/8
7/5
63/40
7/4
9/5
2/1

Suggested keyboard mapping: C D F♯ G♯ A Bb.

Music

Daniel Corral
Sevish