4ed5/2

4 equal divisions of 5/2 (abbreviated 4ed5/2) is a nonoctave tuning system that divides the interval of 5/2 into 4 equal parts of about 397 ¢ each. Each step represents a frequency ratio of (5/2)^1/4, or the 4th root of 5/2.

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4ed5/2

5ed5/2 →

Prime factorization	22 (highly composite)
Step size	396.578 ¢
Octave	3\4ed5/2 (1189.74 ¢) (convergent)
Twelfth	5\4ed5/2 (1982.89 ¢)
Consistency limit	6
Distinct consistency limit	4

Harmonics

Approximation of harmonics in 4ed5/2

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	-10	+81	-21	-10	+71	-196	-31	+162	-21	-186	+60
	Relative (%)	-2.6	+20.4	-5.2	-2.6	+17.8	-49.5	-7.8	+40.8	-5.2	-46.8	+15.2
Steps (reduced)		3 (3)	5 (1)	6 (2)	7 (3)	8 (0)	8 (0)	9 (1)	10 (2)	10 (2)	10 (2)	11 (3)

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