43ed11/5

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← 42ed11/543ed11/544ed11/5 →
Prime factorization 43 (prime)
Step size 31.7443¢ 
Octave 38\43ed11/5 (1206.28¢)
Twelfth 60\43ed11/5 (1904.66¢)
Consistency limit 6
Distinct consistency limit 5

43 equal divisions of 11/5 (abbreviated 43ed11/5) is a nonoctave tuning system that divides the interval of 11/5 into 43 equal parts of about 31.7 ¢ each. Each step represents a frequency ratio of (11/5)1/43, or the 43rd root of 11/5.

Intervals

Steps Cents Approximate Ratios
0 0 1/1
1 31.744
2 63.489 26/25, 27/26, 28/27, 29/28, 30/29
3 95.233 18/17, 19/18, 20/19
4 126.977 14/13, 27/25, 29/27
5 158.721 11/10, 23/21
6 190.466 19/17, 28/25, 29/26
7 222.21 17/15, 25/22
8 253.954 15/13, 22/19, 29/25
9 285.699 13/11, 20/17
10 317.443 6/5
11 349.187 11/9, 27/22
12 380.931 5/4
13 412.676 14/11, 19/15
14 444.42 22/17
15 476.164 25/19, 29/22
16 507.909
17 539.653 15/11, 26/19
18 571.397 25/18
19 603.141 17/12, 24/17, 27/19
20 634.886 13/9
21 666.63 22/15, 25/17, 28/19
22 698.374 3/2
23 730.119 26/17, 29/19
24 761.863 14/9
25 793.607 19/12, 30/19
26 825.351 21/13, 29/18
27 857.096 18/11, 23/14
28 888.84 5/3
29 920.584 17/10, 29/17
30 952.329 19/11, 26/15
31 984.073 23/13, 30/17
32 1015.817 9/5
33 1047.561 11/6
34 1079.306 28/15
35 1111.05 19/10
36 1142.794 27/14, 29/15
37 1174.539
38 1206.283 2/1
39 1238.027
40 1269.771 25/12, 27/13
41 1301.516 17/8
42 1333.26 13/6, 28/13
43 1365.004 11/5

Harmonics

Approximation of harmonics in 43ed11/5
Harmonic 2 3 4 5 6 7 8 9 10 11 12
Error Absolute (¢) +6.3 +2.7 +12.6 +7.2 +9.0 -3.9 -12.9 +5.4 +13.5 +7.2 +15.3
Relative (%) +19.8 +8.5 +39.6 +22.6 +28.3 -12.4 -40.6 +17.0 +42.4 +22.6 +48.1
Steps
(reduced)
38
(38)
60
(17)
76
(33)
88
(2)
98
(12)
106
(20)
113
(27)
120
(34)
126
(40)
131
(2)
136
(7)
Approximation of harmonics in 43ed11/5
Harmonic 13 14 15 16 17 18 19 20 21 22 23
Error Absolute (¢) +3.7 +2.4 +9.9 -6.6 +15.4 +11.7 +13.3 -12.0 -1.2 +13.5 -0.0
Relative (%) +11.6 +7.4 +31.1 -20.8 +48.5 +36.8 +42.0 -37.8 -3.9 +42.4 -0.0
Steps
(reduced)
140
(11)
144
(15)
148
(19)
151
(22)
155
(26)
158
(29)
161
(32)
163
(34)
166
(37)
169
(40)
171
(42)