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3-5-7-11-13 dekany: Difference between revisions

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[[File:3-5-7-11-13_Dekany.png|thumb|Circle diagram (rotated).]] The simplest [[Dekany]] comprised entirely out of prime numbers. This creates a scale of 1 13/12 11/10 7/6 143/120 77/60 13/10 7/5 91/60 11/6 2/1, with steps of 13/12 66/65 35/33 143/140 154/143 78/77 14/13 13/12 110/91 12/11. While it does hit many simple composite intervals, as it has no factors of 2 in it, it is completely devoid of any pure harmonics, making for a very xenharmonic sound overall. It it also very lopsided, with multiple tiny intervals and a gap of over 300 cents near the end. The closest thing to a perfect fifth is the [[91/90]] sharp one above the root, which is indistinguishable from a [[5edo]] one.  
[[File:3-5-7-11-13_Dekany.png|thumb|Circle diagram.]] The simplest [[Dekany]] comprised entirely out of prime numbers. This creates a scale of 1 13/12 11/10 7/6 143/120 77/60 13/10 7/5 91/60 11/6 2/1, with steps of 13/12 66/65 35/33 143/140 154/143 78/77 14/13 13/12 110/91 12/11. While it does hit many simple composite intervals, as it has no factors of 2 in it, it is completely devoid of any pure harmonics, making for a very xenharmonic sound overall. It it also very lopsided, with multiple tiny intervals and a gap of over 300 cents near the end. The closest thing to a perfect fifth is the [[91/90]] sharp one above the root, which is indistinguishable from a [[5edo]] one.  


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