25ed11/5

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25ed11/5

26ed11/5 →

Prime factorization	52
Step size	54.6002¢
Octave	22\25ed11/5 (1201.2¢) (convergent)
Twelfth	35\25ed11/5 (1911.01¢) (→7\5ed11/5)
Consistency limit	12
Distinct consistency limit	4

25 equal divisions of 11/5 (abbreviated 25ed11/5) is a nonoctave tuning system that divides the interval of 11/5 into 25 equal parts of about 54.6 ¢ each. Each step represents a frequency ratio of (11/5)^1/25, or the 25th root of 11/5.

Intervals

Steps	Cents	Approximate Ratios
0	0	1/1
1	54.6
2	109.2	15/14, 16/15, 17/16, 18/17
3	163.801	11/10
4	218.401	17/15, 25/22, 26/23
5	273.001	7/6, 20/17
6	327.601	6/5, 17/14, 23/19
7	382.201	5/4
8	436.801	9/7, 22/17
9	491.402	4/3
10	546.002	11/8, 15/11, 26/19
11	600.602	17/12, 24/17
12	655.202	16/11, 19/13, 22/15
13	709.802	3/2
14	764.402	14/9, 17/11, 25/16
15	819.003	8/5
16	873.603	5/3
17	928.203	12/7, 17/10
18	982.803	23/13
19	1037.403	11/6, 20/11
20	1092.003	15/8, 17/9
21	1146.604
22	1201.204	2/1
23	1255.804
24	1310.404	15/7, 17/8
25	1365.004	11/5

Harmonics

Approximation of harmonics in 25ed11/5

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	+1.2	+9.1	+2.4	-1.7	+10.3	+16.4	+3.6	+18.1	-0.5	-1.7	+11.5
	Relative (%)	+2.2	+16.6	+4.4	-3.1	+18.8	+30.0	+6.6	+33.2	-0.9	-3.1	+21.0
Steps (reduced)		22 (22)	35 (10)	44 (19)	51 (1)	57 (7)	62 (12)	66 (16)	70 (20)	73 (23)	76 (1)	79 (4)

Approximation of harmonics in 25ed11/5

Harmonic		13	14	15	16	17	18	19	20	21	22	23
Error	Absolute (¢)	-17.9	+17.6	+7.3	+4.8	+9.1	+19.3	-19.7	+0.7	+25.4	-0.5	-22.9
	Relative (%)	-32.8	+32.2	+13.5	+8.8	+16.6	+35.4	-36.1	+1.3	+46.6	-0.9	-41.9
Steps (reduced)		81 (6)	84 (9)	86 (11)	88 (13)	90 (15)	92 (17)	93 (18)	95 (20)	97 (22)	98 (23)	99 (24)