5ed11/5

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5ed11/5

6ed11/5 →

Prime factorization	5 (prime)
Step size	273.001¢
Octave	4\5ed11/5 (1092¢) (semiconvergent)
Twelfth	7\5ed11/5 (1911.01¢) (convergent)
Consistency limit	3
Distinct consistency limit	2

5 equal divisions of 11/5 (abbreviated 5ed11/5) is a nonoctave tuning system that divides the interval of 11/5 into 5 equal parts of about 273 ¢ each. Each step represents a frequency ratio of (11/5)^1/5, or the 5th root of 11/5.

Intervals

#	Cents	Approximate ratios
0	0.0	1/1
1	273.0	7/6, 75/64
2	546.0	11/8, 15/11, 48/35
3	819.0	8/5, 21/13
4	1092.0	15/8, 32/17
5	1365.0	11/5

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← 4ed11/5

5ed11/5

6ed11/5 →

Prime factorization	5 (prime)
Step size	273.001¢
Octave	4\5ed11/5 (1092¢) (semiconvergent)
Twelfth	7\5ed11/5 (1911.01¢) (convergent)
Consistency limit	3
Distinct consistency limit	2

5 equal divisions of 11/5 (abbreviated 5ed11/5) is a nonoctave tuning system that divides the interval of 11/5 into 5 equal parts of about 273 ¢ each. Each step represents a frequency ratio of (11/5)^1/5, or the 5th root of 11/5.

Harmonics

Approximation of harmonics in 5ed11/5

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	-108	+9	+57	-56	-99	-93	-51	+18	+109	-56	+66
	Relative (%)	-39.6	+3.3	+20.9	-20.6	-36.2	-34.0	-18.7	+6.6	+39.8	-20.6	+24.2
Steps (reduced)		4 (4)	7 (2)	9 (4)	10 (0)	11 (1)	12 (2)	13 (3)	14 (4)	15 (0)	15 (0)	16 (1)

Approximation of harmonics in 5ed11/5

Harmonic		13	14	15	16	17	18	19	20	21	22	23
Error	Absolute (¢)	-73	+72	-47	+114	+9	-90	+90	+1	-84	+109	+32
	Relative (%)	-26.6	+26.4	-17.3	+41.8	+3.3	-32.9	+32.8	+0.3	-30.7	+39.8	+11.6
Steps (reduced)		16 (1)	17 (2)	17 (2)	18 (3)	18 (3)	18 (3)	19 (4)	19 (4)	19 (4)	20 (0)	20 (0)