90edf

90 equal divisions of the perfect fifth (abbreviated 90edf or 90ed3/2) is a nonoctave tuning system that divides the interval of 3/2 into 90 equal parts of about 7.8 ¢ each. Each step represents a frequency ratio of (3/2)^1/90, or the 90th root of 3/2.

← 89edf

90edf

91edf →

Prime factorization	2 × 32 × 5
Step size	7.7995 ¢
Octave	154\90edf (1201.12 ¢) (→ 77\45edf)
Twelfth	244\90edf (1903.08 ¢) (→ 122\45edf)
Consistency limit	4
Distinct consistency limit	4

Harmonics

Approximation of harmonics in 90edf

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	+1.12	+1.12	+2.25	-1.89	+2.25	+0.56	+3.37	+2.25	-0.77	-1.98	+3.37
	Relative (%)	+14.4	+14.4	+28.8	-24.3	+28.8	+7.2	+43.2	+28.8	-9.9	-25.4	+43.2
Steps (reduced)		154 (64)	244 (64)	308 (38)	357 (87)	398 (38)	432 (72)	462 (12)	488 (38)	511 (61)	532 (82)	552 (12)

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