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	[[File:5-11-13-15_by_11-9_Bihexany.png\|thumb\|Circle diagram.]] A [[15-odd-limit]] [[Hexany]]. This creates a scale of 1 13/12 13/11 11/9 13/10 15/11 13/9 3/2 143/90 5/3 39/22 11/6 2/1, with steps of 13/12 12/11 121/117 117/110 150/143 143/135 27/26 143/135 150/143 117/110 121/117 12/11. As the base hexany exaggerates the size of the thirds, putting a neutral one in the middle of them expands your harmonic options without resulting in any intervals too close together. Putting an 11 as the numerator also cancels out half of the ratios in the other notes, ensuring the composite ones remain mostly simple. It does only have 4 perfect fifths though, plus a couple of extra ones that are [[121/120]] flat, which gives it fewer stable rooting places than many of these bihexanies.		[[File:5-11-13-15_by_11-9_Bihexany.png\|thumb\|Circle diagram.]] A [[15-odd-limit]] [[Hexany]]. This creates a scale of 1 13/12 13/11 11/9 13/10 15/11 13/9 3/2 143/90 5/3 39/22 11/6 2/1, with steps of 13/12 12/11 121/117 117/110 150/143 143/135 27/26 143/135 150/143 117/110 121/117 12/11. As the [[5-11-13-15_hexany\|base hexany]] exaggerates the size of the thirds, putting a neutral one in the middle of them expands your harmonic options without resulting in any intervals too close together. Putting an 11 as the numerator also cancels out half of the ratios in the other notes, ensuring the composite ones remain mostly simple. It does only have 4 perfect fifths though, plus a couple of extra ones that are [[121/120]] flat, which gives it fewer stable rooting places than many of these bihexanies.

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[[File:5-11-13-15_by_11-9_Bihexany.png|thumb|Circle diagram.]] A [[15-odd-limit]] [[Hexany]]. This creates a scale of 1 13/12 13/11 11/9 13/10 15/11 13/9 3/2 143/90 5/3 39/22 11/6 2/1, with steps of 13/12 12/11 121/117 117/110 150/143 143/135 27/26 143/135 150/143 117/110 121/117 12/11. As the base hexany exaggerates the size of the thirds, putting a neutral one in the middle of them expands your harmonic options without resulting in any intervals too close together. Putting an 11 as the numerator also cancels out half of the ratios in the other notes, ensuring the composite ones remain mostly simple. It does only have 4 perfect fifths though, plus a couple of extra ones that are [[121/120]] flat, which gives it fewer stable rooting places than many of these bihexanies.

<pre>
! 5-11-13-15_by_11/9_Bihexany.scl
!
5 11 13 15 by 11/9 2-combination Bihexany
12
!
138.572
289.209
347.407
454.213
536.950
636.617
701.955
801.621
884.358
991.164
1049.362
1200
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[[Category:Hexanies]]
[[Category:12-tone scales]]
[[Category:Pages with Scala files]]

5-11-13-15 by 11/9 bihexany - Revision history

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