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← 1910edo 1911edo 1912edo →
Prime factorization 3 × 72 × 13
Step size 0.627943 ¢ 
Fifth 1118\1911 (702.041 ¢) (→ 86\147)
Semitones (A1:m2) 182:143 (114.3 ¢ : 89.8 ¢)
Consistency limit 11
Distinct consistency limit 11

Template:EDO intro

1911edo is consistent in the 11-limit and tempers out the aluminium comma in the 5-limit. It provides the optimal patent val for the protactinium temperament in the 17-limit. However as may stem from consistency only in the 11-limit, the 13th harmonic has a large relative error. As such, 1911edo is best considered as a 2.3.5.7.11.17 subgroup tuning.

Odd harmonics

Approximation of prime harmonics in 1911edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.000 +0.086 -0.128 +0.091 +0.016 +0.289 -0.089 +0.132 +0.297 +0.250 -0.295
Relative (%) +0.0 +13.7 -20.5 +14.5 +2.6 +46.0 -14.1 +21.1 +47.3 +39.8 -46.9
Steps
(reduced)
1911
(0)
3029
(1118)
4437
(615)
5365
(1543)
6611
(878)
7072
(1339)
7811
(167)
8118
(474)
8645
(1001)
9284
(1640)
9467
(1823)