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1-7-9-11-15 dekany: Difference between revisions

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[[File:1-7-9-11-15_Dekany.png|thumb|Circle diagram.]]  A [[13-odd-limit]] [[dekany]]. This creates a scale of 1 15/14 9/8 135/112 9/7 11/8 165/112 11/7 99/56 15/8 2/1, with steps of 15/14 21/20 15/14 16/15 77/72 15/14 16/15 9/8 35/33 16/15. With lots of intervals that are slightly over the size of a 12edo semitone and one that is double that, this is essentially a detempered version of [[11edo]] with a single note missing. As such, it completely misses any 5-limit perfect fifths or major thirds, making it quite strange harmonically, but is surprisingly familiar sounding melodically as long as you don't make any large leaps.  
[[File:1-7-9-11-15_Dekany.png|thumb|Circle diagram.]]  A [[15-odd-limit]] [[dekany]]. This creates a scale of 1 15/14 9/8 135/112 9/7 11/8 165/112 11/7 99/56 15/8 2/1, with steps of 15/14 21/20 15/14 16/15 77/72 15/14 16/15 9/8 35/33 16/15. With lots of intervals that are slightly over the size of a 12edo semitone and one that is double that, this is essentially a detempered version of [[11edo]] with a single note missing. As such, it completely misses any 5-limit perfect fifths or major thirds, making it quite strange harmonically, but is surprisingly familiar sounding melodically as long as you don't make any large leaps.  


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