418edo

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← 417edo 418edo 419edo →
Prime factorization 2 × 11 × 19
Step size 2.87081¢ 
Fifth 245\418 (703.349¢)
Semitones (A1:m2) 43:29 (123.4¢ : 83.25¢)
Dual sharp fifth 245\418 (703.349¢)
Dual flat fifth 244\418 (700.478¢) (→122\209)
Dual major 2nd 71\418 (203.828¢)
Consistency limit 5
Distinct consistency limit 5

418 equal divisions of the octave (abbreviated 418edo or 418ed2), also called 418-tone equal temperament (418tet) or 418 equal temperament (418et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 418 equal parts of about 2.87 ¢ each. Each step represents a frequency ratio of 21/418, or the 418th root of 2.

Odd harmonics

Approximation of odd harmonics in 418edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error Absolute (¢) +1.39 +1.25 -1.36 -0.08 -0.12 +0.62 -0.23 +1.26 +1.05 +0.03 +0.43
Relative (%) +48.6 +43.4 -47.4 -2.9 -4.2 +21.6 -8.0 +44.1 +36.6 +1.1 +15.1
Steps
(reduced)
663
(245)
971
(135)
1173
(337)
1325
(71)
1446
(192)
1547
(293)
1633
(379)
1709
(37)
1776
(104)
1836
(164)
1891
(219)


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