1448edo

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← 1447edo 1448edo 1449edo →
Prime factorization 23 × 181
Step size 0.828729 ¢ 
Fifth 847\1448 (701.934 ¢)
Semitones (A1:m2) 137:109 (113.5 ¢ : 90.33 ¢)
Consistency limit 15
Distinct consistency limit 15

Template:EDO intro

The 1448edo is a strong 13-limit system, and it is an excellent 2.3.5.7.11.13.19.23 subgroup system. It is a zeta peak edo, and provides the optimal patent val for donar. A basis for the 13-limit commas is {3025/3024, 4225/4224, 4375/4374, 140625/140608, 823680/823543}.

Prime harmonics

Approximation of prime harmonics in 1448edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.000 -0.021 -0.126 -0.041 -0.213 -0.196 +0.293 +0.001 -0.098 -0.295 +0.268
Relative (%) +0.0 -2.6 -15.2 -5.0 -25.7 -23.7 +35.4 +0.1 -11.8 -35.6 +32.4
Steps
(reduced)
1448
(0)
2295
(847)
3362
(466)
4065
(1169)
5009
(665)
5358
(1014)
5919
(127)
6151
(359)
6550
(758)
7034
(1242)
7174
(1382)

Divisors

Since 1448 factors into 23 × 181, it has subset edos 2, 4, 8, 181, 362, and 724.