22ed11/5

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22ed11/5

23ed11/5 →

Prime factorization	2 × 11
Step size	62.0456¢
Octave	19\22ed11/5 (1178.87¢)
Twelfth	31\22ed11/5 (1923.42¢)
Consistency limit	2
Distinct consistency limit	2

22 equal divisions of 11/5 (abbreviated 22ed11/5) is a nonoctave tuning system that divides the interval of 11/5 into 22 equal parts of about 62 ¢ each. Each step represents a frequency ratio of (11/5)^1/22, or the 22nd root of 11/5.

Intervals

Steps	Cents	Approximate Ratios
0	0	1/1
1	62.046	24/23
2	124.091
3	186.137	19/17, 21/19
4	248.183	15/13, 22/19, 23/20
5	310.228	6/5, 25/21
6	372.274	21/17
7	434.32	22/17
8	496.365
9	558.411	18/13, 25/18
10	620.456	10/7
11	682.502
12	744.548	17/11
13	806.593	19/12
14	868.639	23/14
15	930.685	12/7, 17/10
16	992.73
17	1054.776	11/6
18	1116.822	19/10, 21/11, 23/12
19	1178.867
20	1240.913
21	1302.959
22	1365.004	11/5

Harmonics

Approximation of harmonics in 22ed11/5

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	-21.1	+21.5	+19.8	+5.7	+0.3	-18.4	-1.4	-19.1	-15.4	+5.7	-20.8
	Relative (%)	-34.1	+34.6	+31.9	+9.3	+0.5	-29.6	-2.2	-30.8	-24.8	+9.3	-33.5
Steps (reduced)		19 (19)	31 (9)	39 (17)	45 (1)	50 (6)	54 (10)	58 (14)	61 (17)	64 (20)	67 (1)	69 (3)

Approximation of harmonics in 22ed11/5

Harmonic		13	14	15	16	17	18	19	20	21	22	23
Error	Absolute (¢)	+26.8	+22.6	+27.2	-22.5	-3.3	+21.8	-9.8	+25.5	+3.1	-15.4	-30.3
	Relative (%)	+43.1	+36.3	+43.8	-36.2	-5.4	+35.1	-15.7	+41.1	+5.0	-24.8	-48.8
Steps (reduced)		72 (6)	74 (8)	76 (10)	77 (11)	79 (13)	81 (15)	82 (16)	84 (18)	85 (19)	86 (20)	87 (21)