2118edo

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Revision as of 00:48, 9 May 2022 by Eliora (talk | contribs) (Theory)
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Theory

Approximation of prime harmonics in 2118edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.000 +0.028 +0.089 +0.013 -0.043 +0.266 -0.140 -0.063 +0.054 -0.115 +0.007
Relative (%) +0.0 +4.9 +15.6 +2.2 -7.6 +46.9 -24.6 -11.0 +9.6 -20.4 +1.2
Steps
(reduced)
2118
(0)
3357
(1239)
4918
(682)
5946
(1710)
7327
(973)
7838
(1484)
8657
(185)
8997
(525)
9581
(1109)
10289
(1817)
10493
(2021)

Primes with less than 1 standard deviation in 2118edo are: 2, 3, 5, 7, 11, 19, 23, 29, 31, 43.

2118edo provides a 43-limit approximation of secor with 46/43 (206 steps) as a generator which is described by a 31 & 2118 temperament.

2118edo is 6 times the 353edo, meaning it can be used to play a compound of 6 chains of the Rectified Hebrew temperament.