5-7-9-15 by 5/4 bihexany: Difference between revisions

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[[File:5-7-9-15_by_5-4_Bihexany.png|thumb|Circle diagram.]] A [[15-odd-limit]] [[Bihexany]]. This creates a scale of 1 15/14 9/8 135/112 5/4 9/7 75/56 3/2 45/28 9/5 15/8 27/14 2/1, with steps of 15/14 21/20 15/14 28/27 36/35 25/24 28/25 15/14 28/25 25/24 36/35 28/27. Since the [[5-7-9-15_hexany|base hexany]] has two ~~perfect~~ 6/5, but no 5/4's, this expands it out in a way that gives it a rich selection of chords, as there are 6 notes with perfect fifths above them, 2 with fifths flat by a [[marvel comma]] and 1 flat by a [[starling comma]], all of which have some kind of major or minor chord, often with several different choices of third, and no note smaller than a quartertone, making it quite melodically effective as well.

[[File:5-7-9-15_by_5-4_Bihexany.png|thumb|Circle diagram.]] A [[15-odd-limit]] [[Bihexany]]. This creates a scale of 1 15/14 9/8 135/112 5/4 9/7 75/56 3/2 45/28 9/5 15/8 27/14 2/1, with steps of 15/14 21/20 15/14 28/27 36/35 25/24 28/25 15/14 28/25 25/24 36/35 28/27. Since the [[5-7-9-15_hexany|base hexany]] has two 6/5's and 3/2's, but no 5/4's, this expands it out in a way that gives it a rich selection of chords, as there are 6 notes with perfect fifths above them, 2 with fifths flat by a [[marvel comma]] and 1 flat by a [[starling comma]], all of which have some kind of major or minor chord, often with several different choices of third, and no note smaller than a quartertone, making it quite melodically effective as well.

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	[[File:5-7-9-15_by_5-4_Bihexany.png\|thumb\|Circle diagram.]] A [[15-odd-limit]] [[Bihexany]]. This creates a scale of 1 15/14 9/8 135/112 5/4 9/7 75/56 3/2 45/28 9/5 15/8 27/14 2/1, with steps of 15/14 21/20 15/14 28/27 36/35 25/24 28/25 15/14 28/25 25/24 36/35 28/27. Since the [[5-7-9-15_hexany\|base hexany]] has two ~~perfect~~ 6/5, but no 5/4's, this expands it out in a way that gives it a rich selection of chords, as there are 6 notes with perfect fifths above them, 2 with fifths flat by a [[marvel comma]] and 1 flat by a [[starling comma]], all of which have some kind of major or minor chord, often with several different choices of third, and no note smaller than a quartertone, making it quite melodically effective as well.		[[File:5-7-9-15_by_5-4_Bihexany.png\|thumb\|Circle diagram.]] A [[15-odd-limit]] [[Bihexany]]. This creates a scale of 1 15/14 9/8 135/112 5/4 9/7 75/56 3/2 45/28 9/5 15/8 27/14 2/1, with steps of 15/14 21/20 15/14 28/27 36/35 25/24 28/25 15/14 28/25 25/24 36/35 28/27. Since the [[5-7-9-15_hexany\|base hexany]] has two 6/5's and 3/2's, but no 5/4's, this expands it out in a way that gives it a rich selection of chords, as there are 6 notes with perfect fifths above them, 2 with fifths flat by a [[marvel comma]] and 1 flat by a [[starling comma]], all of which have some kind of major or minor chord, often with several different choices of third, and no note smaller than a quartertone, making it quite melodically effective as well.

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