49ed11/5
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Prime factorization
72
Step size
27.8572¢
Octave
43\49ed11/5 (1197.86¢)
Twelfth
68\49ed11/5 (1894.29¢)
Consistency limit
8
Distinct consistency limit
6
 |
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| ← 48ed11/5 | 49ed11/5 | 50ed11/5 → |
49 equal divisions of 11/5 (abbreviated 49ed11/5) is a nonoctave tuning system that divides the interval of 11/5 into 49 equal parts of about 27.9 ¢ each. Each step represents a frequency ratio of (11/5)1/49, or the 49th root of 11/5.
Intervals
| Steps | Cents | Approximate ratios |
|---|---|---|
| 0 | 0 | 1/1 |
| 1 | 27.9 | |
| 2 | 55.7 | 29/28, 30/29, 31/30, 32/31 |
| 3 | 83.6 | 20/19, 21/20, 22/21 |
| 4 | 111.4 | 16/15, 31/29 |
| 5 | 139.3 | 13/12, 25/23 |
| 6 | 167.1 | 11/10, 32/29 |
| 7 | 195 | 19/17, 28/25 |
| 8 | 222.9 | 25/22 |
| 9 | 250.7 | 15/13, 22/19 |
| 10 | 278.6 | 20/17 |
| 11 | 306.4 | 25/21, 31/26 |
| 12 | 334.3 | 17/14, 23/19 |
| 13 | 362.1 | 16/13, 21/17 |
| 14 | 390 | 5/4 |
| 15 | 417.9 | 14/11 |
| 16 | 445.7 | 22/17, 31/24 |
| 17 | 473.6 | 21/16, 25/19, 29/22 |
| 18 | 501.4 | 4/3 |
| 19 | 529.3 | 19/14 |
| 20 | 557.1 | 29/21 |
| 21 | 585 | 7/5 |
| 22 | 612.9 | 10/7 |
| 23 | 640.7 | 13/9, 29/20 |
| 24 | 668.6 | 22/15, 25/17, 28/19, 31/21 |
| 25 | 696.4 | 3/2 |
| 26 | 724.3 | 32/21 |
| 27 | 752.1 | 17/11 |
| 28 | 780 | 11/7 |
| 29 | 807.9 | |
| 30 | 835.7 | 13/8, 21/13 |
| 31 | 863.6 | 23/14, 28/17 |
| 32 | 891.4 | |
| 33 | 919.3 | 17/10, 29/17 |
| 34 | 947.1 | 19/11, 26/15 |
| 35 | 975 | |
| 36 | 1002.9 | 25/14 |
| 37 | 1030.7 | 20/11, 29/16 |
| 38 | 1058.6 | 24/13 |
| 39 | 1086.4 | 15/8 |
| 40 | 1114.3 | 19/10, 21/11 |
| 41 | 1142.1 | 29/15, 31/16 |
| 42 | 1170 | |
| 43 | 1197.9 | 2/1 |
| 44 | 1225.7 | |
| 45 | 1253.6 | 31/15 |
| 46 | 1281.4 | 21/10, 23/11 |
| 47 | 1309.3 | 17/8, 32/15 |
| 48 | 1337.1 | 13/6 |
| 49 | 1365 | 11/5 |
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -2.1 | -7.7 | -4.3 | -0.6 | -9.8 | +1.9 | -6.4 | +12.5 | -2.7 | -0.6 | -11.9 |
| Relative (%) | -7.7 | -27.5 | -15.4 | -2.1 | -35.2 | +6.8 | -23.0 | +45.0 | -9.8 | -2.1 | -42.9 | |
| Steps (reduced) |
43 (43) |
68 (19) |
86 (37) |
100 (2) |
111 (13) |
121 (23) |
129 (31) |
137 (39) |
143 (45) |
149 (2) |
154 (7) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -11.2 | -0.2 | -8.3 | -8.6 | -2.1 | +10.4 | +0.4 | -4.9 | -5.8 | -2.7 | +3.9 |
| Relative (%) | -40.3 | -0.9 | -29.6 | -30.7 | -7.5 | +37.3 | +1.3 | -17.5 | -20.7 | -9.8 | +13.9 | |
| Steps (reduced) |
159 (12) |
164 (17) |
168 (21) |
172 (25) |
176 (29) |
180 (33) |
183 (36) |
186 (39) |
189 (42) |
192 (45) |
195 (48) | |