3558edo

← 3557edo

3558edo

3559edo →

Prime factorization	2 × 3 × 593
Step size	0.337268 ¢
Fifth	2081\3558 (701.855 ¢)
Semitones (A1:m2)	335:269 (113 ¢ : 90.73 ¢)
Consistency limit	5
Distinct consistency limit	5

Theory

3558edo is only consistent to the 5-odd-limit.

Odd harmonics

Approximation of odd harmonics in 3558edo

Harmonic		3	5	7	9	11	13	15	17	19	21	23
Error	Absolute (¢)	-0.100	-0.142	+0.145	+0.137	+0.115	-0.055	+0.096	-0.065	-0.043	+0.045	+0.056
	Relative (%)	-29.7	-42.0	+43.1	+40.7	+34.2	-16.5	+28.3	-19.3	-12.6	+13.5	+16.7
Steps (reduced)		5639 (2081)	8261 (1145)	9989 (2873)	11279 (605)	12309 (1635)	13166 (2492)	13901 (3227)	14543 (311)	15114 (882)	15628 (1396)	16095 (1863)

Subsets and supersets

Since 3558 factors into 2 × 3 × 593, 3558edo has subset edos 2, 3, 6, 593, 1186, and 1779.

Scales

Some MOS scales:

• Terrain[9]
• Terrain[15]

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