62ed7/3
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Prime factorization
2 × 31
Step size
23.6592¢
Octave
51\62ed7/3 (1206.62¢)
Twelfth
80\62ed7/3 (1892.74¢) (→40\31ed7/3)
Consistency limit
2
Distinct consistency limit
2
 |
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| ← 61ed7/3 | 62ed7/3 | 63ed7/3 → |
62 equal divisions of 7/3 (abbreviated 62ed7/3) is a nonoctave tuning system that divides the interval of 7/3 into 62 equal parts of about 23.7 ¢ each. Each step represents a frequency ratio of (7/3)1/62, or the 62nd root of 7/3.
Intervals
| Steps | Cents | Approximate ratios |
|---|---|---|
| 0 | 0 | 1/1 |
| 1 | 23.7 | |
| 2 | 47.3 | 35/34 |
| 3 | 71 | 25/24, 26/25 |
| 4 | 94.6 | 18/17, 19/18 |
| 5 | 118.3 | 15/14, 31/29 |
| 6 | 142 | 13/12 |
| 7 | 165.6 | |
| 8 | 189.3 | 19/17 |
| 9 | 212.9 | 17/15, 35/31 |
| 10 | 236.6 | |
| 11 | 260.3 | |
| 12 | 283.9 | |
| 13 | 307.6 | |
| 14 | 331.2 | 23/19 |
| 15 | 354.9 | |
| 16 | 378.5 | |
| 17 | 402.2 | 29/23 |
| 18 | 425.9 | 23/18 |
| 19 | 449.5 | 22/17 |
| 20 | 473.2 | |
| 21 | 496.8 | |
| 22 | 520.5 | 23/17, 31/23 |
| 23 | 544.2 | |
| 24 | 567.8 | |
| 25 | 591.5 | 31/22 |
| 26 | 615.1 | |
| 27 | 638.8 | |
| 28 | 662.5 | 22/15 |
| 29 | 686.1 | |
| 30 | 709.8 | |
| 31 | 733.4 | 29/19 |
| 32 | 757.1 | 17/11 |
| 33 | 780.8 | 11/7 |
| 34 | 804.4 | 35/22 |
| 35 | 828.1 | 29/18 |
| 36 | 851.7 | 18/11, 31/19 |
| 37 | 875.4 | |
| 38 | 899 | |
| 39 | 922.7 | 29/17 |
| 40 | 946.4 | 19/11 |
| 41 | 970 | |
| 42 | 993.7 | |
| 43 | 1017.3 | |
| 44 | 1041 | 31/17 |
| 45 | 1064.7 | 24/13 |
| 46 | 1088.3 | |
| 47 | 1112 | |
| 48 | 1135.6 | 25/13 |
| 49 | 1159.3 | |
| 50 | 1183 | |
| 51 | 1206.6 | |
| 52 | 1230.3 | |
| 53 | 1253.9 | 31/15, 35/17 |
| 54 | 1277.6 | 23/11 |
| 55 | 1301.3 | |
| 56 | 1324.9 | 28/13 |
| 57 | 1348.6 | |
| 58 | 1372.2 | 31/14 |
| 59 | 1395.9 | |
| 60 | 1419.6 | 34/15 |
| 61 | 1443.2 | |
| 62 | 1466.9 | 7/3 |
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +6.6 | -9.2 | -10.4 | +5.5 | -2.6 | -9.2 | -3.8 | +5.2 | -11.6 | -11.0 | +4.0 |
| Relative (%) | +28.0 | -39.0 | -44.0 | +23.1 | -11.0 | -39.0 | -16.1 | +22.1 | -48.9 | -46.3 | +17.0 | |
| Steps (reduced) |
51 (51) |
80 (18) |
101 (39) |
118 (56) |
131 (7) |
142 (18) |
152 (28) |
161 (37) |
168 (44) |
175 (51) |
182 (58) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +7.4 | -2.6 | -3.7 | +2.8 | -7.5 | -11.8 | -10.8 | -4.9 | +5.2 | -4.3 | -10.3 |
| Relative (%) | +31.3 | -11.0 | -15.8 | +11.9 | -31.7 | -49.9 | -45.6 | -20.9 | +22.1 | -18.3 | -43.6 | |
| Steps (reduced) |
188 (2) |
193 (7) |
198 (12) |
203 (17) |
207 (21) |
211 (25) |
215 (29) |
219 (33) |
223 (37) |
226 (40) |
229 (43) | |