3-9-11-15 stellated hexany: Difference between revisions

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[[File:3-9-11-15_Stellated_Hexany.png|thumb|Circle diagram.]] A [[13-odd-limit]] stellated [[Hexany]]. This creates a scale of 1 33/32 135/128 9/8 5/4 165/128 11/8 45/32 3/2 99/64 55/32 11/6 15/8 495/256 2/1, with steps of 33/32 45/44 16/15 10/9 33/32 16/15 45/44 16/15 33/32 10/9 16/15 45/44 33/32 512/495. This expands the [[3-9-11-15 hexany|base hexany]] out in a highly effective way, with no steps larger than a whole tone or smaller than a fifth tone, 10 perfect fifths all around the scale to provide solid roots and plenty of good chords both familiar and xenharmonic.  
[[File:3-9-11-15_Stellated_Hexany.png|thumb|Circle diagram.]] A [[15-odd-limit]] stellated [[Hexany]]. This creates a scale of 1 33/32 135/128 9/8 5/4 165/128 11/8 45/32 3/2 99/64 55/32 11/6 15/8 495/256 2/1, with steps of 33/32 45/44 16/15 10/9 33/32 16/15 45/44 16/15 33/32 10/9 16/15 45/44 33/32 512/495. This expands the [[3-9-11-15 hexany|base hexany]] out in a highly effective way, with no steps larger than a whole tone or smaller than a fifth tone, 10 perfect fifths all around the scale to provide solid roots and plenty of good chords both familiar and xenharmonic.  
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! 3-9-11-15_Stellated_Hexany.scl
! 3-9-11-15_Stellated_Hexany.scl

Latest revision as of 07:57, 23 May 2026

Circle diagram.

A 15-odd-limit stellated Hexany. This creates a scale of 1 33/32 135/128 9/8 5/4 165/128 11/8 45/32 3/2 99/64 55/32 11/6 15/8 495/256 2/1, with steps of 33/32 45/44 16/15 10/9 33/32 16/15 45/44 16/15 33/32 10/9 16/15 45/44 33/32 512/495. This expands the base hexany out in a highly effective way, with no steps larger than a whole tone or smaller than a fifth tone, 10 perfect fifths all around the scale to provide solid roots and plenty of good chords both familiar and xenharmonic.

! 3-9-11-15_Stellated_Hexany.scl
!
3 9 11 15 1-3-combination Hexany
14
!
53.272
92.178
203.910
386.313
439.586
551.317
590.223
701.955
755.227
937.631
1049.362
1088.268
1141.541
1200