11ed7

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← 10ed7

11ed7

12ed7 →

Prime factorization	11 (prime)
Step size	306.257 ¢
Octave	4\11ed7 (1225.03 ¢) (semiconvergent)
Twelfth	6\11ed7 (1837.54 ¢)
Consistency limit	8
Distinct consistency limit	3

11 equal divisions of the 7th harmonic (abbreviated 11ed7) is a nonoctave tuning system that divides the interval of 7/1 into 11 equal parts of about 306 ¢ each. Each step represents a frequency ratio of 7^1/11, or the 11th root of 7.

Harmonics

Approximation of harmonics in 11ed7

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	+25	-64	+50	-30	-39	+0	+75	-129	-5	+136	-14
	Relative (%)	+8.2	-21.0	+16.3	-9.8	-12.9	+0.0	+24.5	-42.1	-1.6	+44.5	-4.7
Steps (reduced)		4 (4)	6 (6)	8 (8)	9 (9)	10 (10)	11 (0)	12 (1)	12 (1)	13 (2)	14 (3)	14 (3)