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

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.

600edo's patent val is a tuning for the atomic temperament in the 5- and 7-limit and the 600e val is a tuning in the 11-limit. In addition, 600e val is a tuning for 20th-octave temperament soviet ferris wheel as high as the 19-limit.

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. Since 600 = 6 x 100, one step of 600edo is named centitone, being a relative cent of 6edo, otherwise known as the whole tone scale. In addition, because the step size is 2 cents, it is the smallest edo where every possible interval is tuned within 1 cent of error.

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)
20	283\600 (13\600)	566.00 (26.00)	238/165 (?)	Soviet Ferris wheel (600e)
60	249\600 (1\600)	498.00 (2.00)	4/3 (32805/32768)	Minutes (600e)