607edo

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607edo

608edo →

Prime factorization	607 (prime)
Step size	1.97694 ¢
Fifth	355\607 (701.812 ¢)
Semitones (A1:m2)	57:46 (112.7 ¢ : 90.94 ¢)
Consistency limit	9
Distinct consistency limit	9

Theory

607edo is consistent to the 9-odd-limit. Using the patent val, the equal temperament tempers out 32805/32768, 420175/419904 and 244140625/243045684 in the 7-limit; 3025/3024, 6250/6237, 32805/32768 and 420175/419904 in the 11-limit. It supports countertertiaschis. Essentially tempered chords available in 607et include baladismic chords and xenismic chords.

Prime harmonics

Approximation of prime harmonics in 607edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.000	-0.143	-0.811	-0.127	+0.247	-0.330	-0.178	-0.973	+0.391	+0.406	-0.390
	Relative (%)	+0.0	-7.2	-41.0	-6.4	+12.5	-16.7	-9.0	-49.2	+19.8	+20.6	-19.7
Steps (reduced)		607 (0)	962 (355)	1409 (195)	1704 (490)	2100 (279)	2246 (425)	2481 (53)	2578 (150)	2746 (318)	2949 (521)	3007 (579)

Subsets and supersets

607edo is the 111th prime EDO.

Regular temperament properties

Subgroup	Comma List	Mapping	Optimal 8ve Stretch (¢)	Tuning Error
				Absolute (¢)	Relative (%)
2.3	[-962 607⟩	[⟨607 962]]	0.0451	0.0451	2.28
2.3.5	32805/32768, [-58 -63 68⟩	[⟨607 962 1409]]	0.1465	0.1481	7.49
2.3.5.7	32805/32768, 420175/419904, 244140625/243045684	[⟨607 962 1409 1704]]	0.1212	0.1355	6.85
2.3.5.7.11	3025/3024, 6250/6237, 32805/32768, 420175/419904	[⟨607 962 1409 1704 2100]]	0.0827	0.1437	7.27
2.3.5.7.11.13	2080/2079, 625/624, 3025/3024, 78975/78848, 218700/218491	[⟨607 962 1409 1704 2100 2246]]	0.0838	0.1312	6.64
2.3.5.7.11.13.17	2080/2079, 625/624, 1225/1224, 3025/3024, 78975/78848, 5832/5831	[⟨607 962 1409 1704 2100 2246 2481]]	0.0780	0.1222	6.18

Rank-2 temperaments

Table of rank-2 temperaments by generator

Periods per 8ve	Generator*	Cents*	Associated Ratio*	Temperaments
1	252\607	498.188	4/3	Helmholtz

* octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if it is distinct