600edo

← 599edo

600edo

601edo →

Prime factorization	23 × 3 × 52
Step size	2 ¢
Fifth	351\600 (702 ¢) (→ 117\200)
Semitones (A1:m2)	57:45 (114 ¢ : 90 ¢)
Consistency limit	9
Distinct consistency limit	9

Template:EDO intro Because the step size is 2 cents, it is the smallest edo where every possible interval is tuned within 1 cent of error.

Theory

600edo tempers out the tricot comma, [39 -29 3⟩, and the mutt comma, [-44 -3 21⟩ in the 5-limit, 65625/65536, 250047/250000, 5250987/5242880, and 28824005/28697814 in the 7-limit, supporting septimal mutt.

Prime harmonics

Approximation of prime harmonics in 600edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.000	+0.045	-0.314	-0.826	+0.682	-0.528	-0.955	+0.487	-0.274	+0.423	+0.964
	Relative (%)	+0.0	+2.2	-15.7	-41.3	+34.1	-26.4	-47.8	+24.3	-13.7	+21.1	+48.2
Steps (reduced)		600 (0)	951 (351)	1393 (193)	1684 (484)	2076 (276)	2220 (420)	2452 (52)	2549 (149)	2714 (314)	2915 (515)	2973 (573)

Subsets and supersets

Since 600 factors into 2³ × 3 × 5², it has subset edos 2, 3, 4, 5, 6, 8, 10, 12, 15, 24, 25, 30, 40, 60, 100, 200, and 300.

Regular temperament properties

Rank-2 temperaments

Table of rank-2 temperaments by generator

Periods per 8ve	Generator (Reduced)	Cents (Reduced)	Associated Ratio	Temperaments
1	283\600	566.00	81920/59049	Tricot
3	193\600 (7\600)	386.00 (14.00)	5/4 (126/125)	Mutt
12	249\600 (1\600)	498.00 (2.00)	4/3 (32805/32768)	Atomic (600e)