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1-3-5-7-9-13 pentadekany: Difference between revisions

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[[File:1-3-5-7-9-13_Pentadekany.png|thumb|Circle diagram.]] The second simplest possible [[pentadekany]]. This creates a scale of 1 13/12 9/8 7/6 39/32 5/4 21/16 65/48 35/24 3/2 13/8 5/3 7/4 15/8 91/48 2/1, with steps of 13/12 27/26 18/27 117/112 40/39 21/20 65/63 14/13 36/35 13/12 40/39 21/20 15/14 91/90 96/91. With only one melodically weak interval and plenty of strong simple chords, including 8 notes with perfect fifths above them, this shows plenty of compositional potential without being too much more complex than 12edo if you have a way to play it ergonomically.
[[File:1-3-5-7-9-13_Pentadekany.png|thumb|Circle diagram.]] The second simplest possible [[pentadekany]]. This creates a scale of 1 13/12 9/8 7/6 39/32 5/4 21/16 65/48 35/24 3/2 13/8 5/3 7/4 15/8 91/48 2/1, with steps of 13/12 27/26 28/27 117/112 40/39 21/20 65/63 14/13 36/35 13/12 40/39 21/20 15/14 91/90 96/91. With only one melodically weak interval and plenty of strong simple chords, including 8 notes with perfect fifths above them, this shows plenty of compositional potential without being too much more complex than 12edo if you have a way to play it ergonomically.


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