3422edo

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← 3421edo 3422edo 3423edo →
Prime factorization 2 × 29 × 59
Step size 0.350672 ¢ 
Fifth 2002\3422 (702.046 ¢) (→ 1001\1711)
Semitones (A1:m2) 326:256 (114.3 ¢ : 89.77 ¢)
Consistency limit 7
Distinct consistency limit 7

Template:EDO intro

3422edo is consistent in the 7-odd-limit, where it tempers out the euzenius comma and [-2 -25 1 14. It is enfactored in the 5-limit, with the same tuning as 1711edo. Despite large errors and inconsistency, it is a strong tuning for the oganesson temperament in the 19-limit patent val.

Odd harmonics

Approximation of odd harmonics in 3422edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error Absolute (¢) +0.091 +0.127 +0.081 -0.169 -0.061 +0.033 -0.133 -0.104 -0.143 +0.172 +0.130
Relative (%) +25.8 +36.2 +23.1 -48.3 -17.5 +9.5 -38.0 -29.8 -40.8 +49.0 +37.1
Steps
(reduced)
5424
(2002)
7946
(1102)
9607
(2763)
10847
(581)
11838
(1572)
12663
(2397)
13369
(3103)
13987
(299)
14536
(848)
15031
(1343)
15480
(1792)

Subsets and supersets

Since 3422 factors as 2 × 29 × 59, 3422edo has subset edos 1, 2, 29, 58, 59, 118, 1711, notably containing 29edo, 58edo, and 118edo.