7ed9/5

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7ed9/5

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Prime factorization	7 (prime)
Step size	145.371 ¢
Octave	8\7ed9/5 (1162.97 ¢)
Twelfth	13\7ed9/5 (1889.82 ¢) (convergent)
Consistency limit	3
Distinct consistency limit	3

7 equal divisions of 9/5 (abbreviated 7ed9/5) is a nonoctave tuning system that divides the interval of 9/5 into 7 equal parts of about 145 ¢ each. Each step represents a frequency ratio of (9/5)^1/7, or the 7th root of 9/5.

Intervals

Steps	Cents	Approximate ratios
0	0	1/1
1	145.4	10/9, 15/14, 19/17, 21/19
2	290.7	6/5, 7/6, 13/11
3	436.1	5/4, 9/7, 17/13, 19/15
4	581.5	7/5, 10/7
5	726.9	3/2, 14/9, 17/11
6	872.2	5/3
7	1017.6	7/4, 9/5

Harmonics

Approximation of harmonics in 7ed9/5

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	-37.0	-12.1	+71.3	-24.3	-49.2	-25.3	+34.3	-24.3	-61.3	+64.4	+59.2
	Relative (%)	-25.5	-8.3	+49.1	-16.7	-33.8	-17.4	+23.6	-16.7	-42.2	+44.3	+40.7
Steps (reduced)		8 (1)	13 (6)	17 (3)	19 (5)	21 (0)	23 (2)	25 (4)	26 (5)	27 (6)	29 (1)	30 (2)

Approximation of harmonics in 7ed9/5

Harmonic		13	14	15	16	17	18	19	20	21	22	23
Error	Absolute (¢)	+66.0	-62.3	-36.4	-2.8	+37.7	-61.3	-9.5	+47.0	-37.4	+27.4	-49.6
	Relative (%)	+45.4	-42.9	-25.0	-1.9	+25.9	-42.2	-6.6	+32.4	-25.7	+18.9	-34.1
Steps (reduced)		31 (3)	31 (3)	32 (4)	33 (5)	34 (6)	34 (6)	35 (0)	36 (1)	36 (1)	37 (2)	37 (2)