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1-7-9-15 by 4/3 bihexany: Difference between revisions

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[[File:1-7-9-15_by_4-3_Bihexany.png|thumb|Circle diagram (rotated).]] A [[7-limit]] [[Hexany]]. This creates a scale of 1 15/14 9/8 135/112 5/4 9/7 4/3 10/7 3/2 45/28 12/7 15/8 2/1, with steps of 15/14 21/20 15/14 28/27 36/35 28/27 15/14 21/20 15/14 16/15 35/32 16/15. This expands the [[1-7-9-15_hexany|base hexany]] out in a way that provides the greatest number of simple intervals, including 8 perfect fifths and a rich choice of thirds above the root note, at the cost of still having some degree of clustering in the second quadrant of the scale.  
[[File:1-7-9-15_by_4-3_Bihexany.png|thumb|Circle diagram.]] A [[7-limit]] [[Hexany]]. This creates a scale of 1 15/14 9/8 135/112 5/4 9/7 4/3 10/7 3/2 45/28 12/7 15/8 2/1, with steps of 15/14 21/20 15/14 28/27 36/35 28/27 15/14 21/20 15/14 16/15 35/32 16/15. This expands the [[1-7-9-15_hexany|base hexany]] out in a way that provides the greatest number of simple intervals, including 8 perfect fifths and a rich choice of thirds above the root note, at the cost of still having some degree of clustering in the second quadrant of the scale.  


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