590edo

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← 589edo

590edo

591edo →

Prime factorization	2 × 5 × 59
Step size	2.0339 ¢
Fifth	345\590 (701.695 ¢) (→ 69\118)
Semitones (A1:m2)	55:45 (111.9 ¢ : 91.53 ¢)
Consistency limit	15
Distinct consistency limit	15

590edo has the same tuning as the 118edo in the 5-limit and provides a good correction for the harmonics 7, 11, and 13, altogether being consistent in the 15-odd-limit. Among the 118th-octave temperaments, it by definition tunes parakleischis as well as centenniamajor in the 590ee val.

Besides that, it is a tuning for the quintaschis temperament in the 7-limit.

Prime harmonics

Approximation of prime harmonics in 590edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.000	-0.260	+0.127	-0.690	-0.132	-0.528	+0.807	-0.564	+0.200	-0.425	+0.049
	Relative (%)	+0.0	-12.8	+6.2	-33.9	-6.5	-25.9	+39.7	-27.7	+9.8	-20.9	+2.4
Steps (reduced)		590 (0)	935 (345)	1370 (190)	1656 (476)	2041 (271)	2183 (413)	2412 (52)	2506 (146)	2669 (309)	2866 (506)	2923 (563)