← 1257edo 1258edo 1259edo →
Prime factorization 2 × 17 × 37
Step size 0.953895 ¢ 
Fifth 736\1258 (702.067 ¢) (→ 368\629)
Semitones (A1:m2) 120:94 (114.5 ¢ : 89.67 ¢)
Consistency limit 11
Distinct consistency limit 11

Template:EDO intro

1258edo is consistent in the 11-odd-limit and it is a strong no-7s 19-limit tuning, with errors less than 15%. Despite inconsistency, it provides the optimal patent val for the abigail temperament in the 13-limit.

In 5-limit, it is a tuning for lafa and chlorine, tempering out the septendecima in light of being a multiple of 17.

Prime harmonics

Approximation of prime harmonics in 1258edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.000 +0.112 +0.014 +0.331 +0.033 -0.146 -0.027 +0.102 +0.343 -0.324 -0.361
Relative (%) +0.0 +11.7 +1.4 +34.8 +3.5 -15.3 -2.8 +10.7 +35.9 -34.0 -37.9
Steps
(reduced)
1258
(0)
1994
(736)
2921
(405)
3532
(1016)
4352
(578)
4655
(881)
5142
(110)
5344
(312)
5691
(659)
6111
(1079)
6232
(1200)

Divisors

1258edo has subset edos 1, 2, 17, 34, 37, 74, 629.