2016edo: Difference between revisions
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Prime harmonics (below 61) with less than 22% error in 2016edo are: 2, 5, 11, 13, 19, 41, 47. With next error being 26% on the 37th harmonic, it is reasonable to make cutoff here. | Prime harmonics (below 61) with less than 22% error in 2016edo are: 2, 5, 11, 13, 19, 41, 47. With next error being 26% on the 37th harmonic, it is reasonable to make cutoff here. | ||
2016 shares the mapping for 3 with [[224edo]], albeit with a 28 relative cent error. | 2016 shares the mapping for 3 with [[224edo]], albeit with a 28 relative cent error. | ||
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]]. | |||
In the 11-limit, 2016edo tempers out the {{monzo|0 0 -22 0 3 11}} comma, which equates a stack of 11 [[25/13]]<nowiki/>s with 3 [[11/1|hendecataves]]. | |||
== Regular temperament properties == | == Regular temperament properties == | ||
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|0.050 | |0.050 | ||
|8.4 | |8.4 | ||
|- | |||
|2.3.5.7 | |||
|250047/250000, {{monzo|7, 18, -2, -11}}, {{monzo|43, -1, -13, -4}} | |||
|[{{Val|2016 3195 4681 5658}}] | |||
|0.007 | |||
|0.066 | |||
|11.1 | |||
|- | |- | ||
|2.3.5.7 | |2.3.5.7 | ||
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|0.015 | |0.015 | ||
|2.5 | |2.5 | ||
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|2.5.11.13.19.41.47 | |||
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