1-5-7-15 hexany: Difference between revisions

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[[File:1-5-7-15_Hexany.png|thumb|Circle diagram.]] A [[7-limit]] [[Hexany]]. This creates a scale of 1 21/16 7/5 3/2 7/4 15/8 2/1, with steps of 21/16 16/15 15/14 7/6 14/15 16/15. This is two clusters with a moderate gap on one side and a large gap on the other, but a quite concordant one, containing two perfect fifths, one that is flat by a [[marvel comma]] and one that is sharp by a septimal comma. This means there is no bihexany that can create a truly even scale out of this hexany, but there are still several that let you construct complex chords and have multiple successive chains of 3/2's.  
[[File:1-5-7-15_Hexany.png|thumb|Circle diagram.]] A [[7-limit]] [[Hexany]]. This creates a scale of 1 21/16 7/5 3/2 7/4 15/8 2/1, with steps of 21/16 16/15 15/14 7/6 15/14 16/15. This is two clusters with a moderate gap on one side and a large gap on the other, but a quite concordant one, containing two perfect fifths, one that is flat by a [[marvel comma]] and one that is sharp by a [[septimal comma]]. This means there is no bihexany that can create a truly even scale out of this hexany, but there are still several that let you construct complex chords and have multiple successive chains of 3/2's.  


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6
6
!
!
21/16
470.781
7/5
582.512
3/2
701.955
7/4
968.825
15/8
1088.268
2/1
1200
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