2113edo

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Revision as of 12:35, 15 October 2023 by FloraC (talk | contribs) (+subsets and supersets)
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← 2112edo 2113edo 2114edo →
Prime factorization 2113 (prime)
Step size 0.567913 ¢ 
Fifth 1236\2113 (701.94 ¢)
Semitones (A1:m2) 200:159 (113.6 ¢ : 90.3 ¢)
Consistency limit 21
Distinct consistency limit 21

Template:EDO intro

2113edo is consistent in the 21-odd-limit and also a strong 2.3.7.13.29 subgroup system. In the 11-limit and the 13-limit, it provides the optimal patent val for the moulin temperament.

Prime harmonics

Approximation of prime harmonics in 2113edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.000 -0.015 -0.133 +0.034 +0.126 -0.017 +0.108 +0.073 -0.163 +0.049 -0.123
Relative (%) +0.0 -2.6 -23.4 +5.9 +22.1 -2.9 +19.1 +12.9 -28.6 +8.6 -21.7
Steps
(reduced)
2113
(0)
3349
(1236)
4906
(680)
5932
(1706)
7310
(971)
7819
(1480)
8637
(185)
8976
(524)
9558
(1106)
10265
(1813)
10468
(2016)

Subsets and supersets

2113edo is the 319th prime edo.