57ed5

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57 equal divisions of the 5th harmonic (abbreviated 57ed5) is a nonoctave tuning system that divides the interval of 5/1 into 57 equal parts of about 48.9 ¢ each. Each step represents a frequency ratio of 51/57, or the 57th root of 5.

← 56ed5 57ed5 58ed5 →
Prime factorization 3 × 19
Step size 48.8827 ¢ 
Octave 25\57ed5 (1222.07 ¢)
Twelfth 39\57ed5 (1906.43 ¢) (→ 13\19ed5)
Consistency limit 3
Distinct consistency limit 3