3-11-13-15 stellated hexany: Difference between revisions

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[[File:3-11-13-15_Stellated_Hexany.png|thumb|Circle diagram.]] A [[13-limit]] stellated [[Hexany]]. This creates a scale of 1 65/64 13/12 143/128 5/4 165/128 11/8 715/512 143/96 195/128 13/8 55/32 11/6 15/8 2/1, with steps of 65/64 16/15 33/32 160/143 33/32 16/15 65/64 16/15 45/44 16/15 55/52 16/15 45/44 16/15. This expands the [[3-11-13-15 hexany|base hexany]] out in a quite effective way, with 6 perfect fifths, 2 that are flat by [[144/143]], plenty of simple consonant chords available and only two comma steps of 65/64 that are below melodically useful size, making this quite a strong scale overall despite not having a perfect fifth above the root.
[[File:3-11-13-15_Stellated_Hexany.png|thumb|Circle diagram.]] A [[15-odd-limit]] stellated [[Hexany]]. This creates a scale of 1 65/64 13/12 143/128 5/4 165/128 11/8 715/512 143/96 195/128 13/8 55/32 11/6 15/8 2/1, with steps of 65/64 16/15 33/32 160/143 33/32 16/15 65/64 16/15 45/44 16/15 55/52 16/15 45/44 16/15. This expands the [[3-11-13-15 hexany|base hexany]] out in a quite effective way, with 6 perfect fifths, 2 that are flat by [[144/143]], plenty of simple consonant chords available and only two comma steps of 65/64 that are below melodically useful size, making this quite a strong scale overall despite not having a perfect fifth above the root.


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Latest revision as of 07:39, 26 May 2026

Circle diagram.

A 15-odd-limit stellated Hexany. This creates a scale of 1 65/64 13/12 143/128 5/4 165/128 11/8 715/512 143/96 195/128 13/8 55/32 11/6 15/8 2/1, with steps of 65/64 16/15 33/32 160/143 33/32 16/15 65/64 16/15 45/44 16/15 55/52 16/15 45/44 16/15. This expands the base hexany out in a quite effective way, with 6 perfect fifths, 2 that are flat by 144/143, plenty of simple consonant chords available and only two comma steps of 65/64 that are below melodically useful size, making this quite a strong scale overall despite not having a perfect fifth above the root. 

! 3-11-13-15_Stellated_Hexany.scl
!
3 11 13 15 1-3-combination Hexany
14
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26.841
138.576
191.845
386.313
439.586
551.317
578.159
689.890
728.796
840.527
937.631
1049.362
1088.268
1200
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