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3-7-9-11-13 dekany: Difference between revisions

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m Found the right temperament.
 
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[[File:3-7-9-11-13_Dekany.png|thumb|Circle diagram (rotated).]] A [[13-odd-limit]] [[Dekany]]. This creates a scale of 1 13/12 33/28 9/7 39/28 3/2 11/7 143/84 11/6 13/7 2/1, with steps of 13/12 99/91 12/11 13/12 14/13 22/21 13/12 14/13 78/77 14/13. This a detemper of some kind of no-5's relative of [[negri]], a chain of 12/11's, 13/12's and 14/13's with a couple of close notes distinguished that would be combined in a regular temperament. As a nonatonic scale, it is excellent, and it also has three perfect fifths to provide points of stability, plus an extra one which is sharp by [[144/143]], although they are all clustered on one side of the scale.   
[[File:3-7-9-11-13_Dekany.png|thumb|Circle diagram.]] A [[13-odd-limit]] [[Dekany]]. This creates a scale of 1 13/12 33/28 9/7 39/28 3/2 11/7 143/84 11/6 13/7 2/1, with steps of 13/12 99/91 12/11 13/12 14/13 22/21 13/12 14/13 78/77 14/13. This a detemper of [[bleu]], a chain of 12/11's, 13/12's and 14/13's that reaches 3/2 after 5 steps with a couple of close notes distinguished that would be combined in a regular temperament. As a nonatonic scale, it is excellent, and it also has three perfect fifths to provide points of stability, plus an extra one which is sharp by [[144/143]], although they are all clustered on one side of the scale.   


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