2016edo: Difference between revisions

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2016edo shares the mapping for 3 with [[224edo]], albeit with a 28 relative cent error. ~~Prime~~ harmonics ~~(below 61)~~ with less than 22% error in 2016edo are: 2, 5, 11, 13, 19~~. With next error being 26% on the 37th harmonic~~, ~~and the fact that error below 25% guarantees consistency to distance 1~~, ~~it is reasonable to make cutoff here~~.

2016edo shares the mapping for 3 with [[224edo]], albeit with a 28 relative cent error. First 7 prime harmonics with less than 25% error in 2016edo are: 2, 5, 11, 13, 19, 41, 47.

2016edo has two reasonable mappings for 7. The 2016d val, {{val| 2016 3195 4681 5659 }}, tempers out 5250987/5242880, 40353607/40310784 (tritrizo), and {{monzo| 14 11 -22 7 }}. As such, its circle of the interval 7/6 is the same as in [[9edo]]. The patent val, {{val| 2016 3195 4681 5658 }} tempers out [[250047/250000]], along with {{monzo| 7 18 -2 -11 }} and {{monzo| 43 -1 -13 -4 }}. This means that the symmetrical major third (400 cents, 1/3 of the octave) in 2016edo corresponds to [[63/50]].

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 {{Harmonics in equal|2016}}
-edo shares the mapping for 3 with [[224edo]], albeit with a 28 relative cent error. Prime harmonics (below 61) with less than 22% error in 2016edo are: 2, 5, 11, 13, 19. With next error being 26% on the 37th harmonic, and the fact that error below 25% guarantees consistency to distance 1, it is reasonable to make cutoff here.
+edo shares the mapping for 3 with [[224edo]], albeit with a 28 relative cent error. First 7 prime harmonics with less than 25% error in 2016edo are: 2, 5, 11, 13, 19, 41, 47.
 edo has two reasonable mappings for 7. The 2016d val, {{val| 2016 3195 4681 5659 }}, tempers out 5250987/5242880, 40353607/40310784 (tritrizo), and {{monzo| 14 11 -22 7 }}. As such, its circle of the interval 7/6 is the same as in [[9edo]]. The patent val, {{val| 2016 3195 4681 5658 }} tempers out [[250047/250000]], along with {{monzo| 7 18 -2 -11 }} and {{monzo| 43 -1 -13 -4 }}. This means that the symmetrical major third (400 cents, 1/3 of the octave) in 2016edo corresponds to [[63/50]].