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 | [[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 | ||
! | ! | ||
470.781 | |||
582.512 | |||
701.955 | |||
968.825 | |||
1088.268 | |||
1200 | |||
</pre> | </pre> | ||
Latest revision as of 08:12, 9 May 2026
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.
! 1-5-7-15_Hexany.scl ! 1 5 7 15 2-combination Hexany 6 ! 470.781 582.512 701.955 968.825 1088.268 1200
Suggested keyboard mapping: C F F# G A# B C