43ed11/5
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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
 |
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| ← 42ed11/5 | 43ed11/5 | 44ed11/5 → |
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
| 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) | |
| 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) | |