79ed7/3
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Prime factorization
79 (prime)
Step size
18.568¢
Octave
65\79ed7/3 (1206.92¢)
Twelfth
102\79ed7/3 (1893.93¢)
Consistency limit
2
Distinct consistency limit
2
 |
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| ← 78ed7/3 | 79ed7/3 | 80ed7/3 → |
79 equal divisions of 7/3 (abbreviated 79ed7/3) is a nonoctave tuning system that divides the interval of 7/3 into 79 equal parts of about 18.6 ¢ each. Each step represents a frequency ratio of (7/3)1/79, or the 79th root of 7/3.
Intervals
| Steps | Cents | Approximate ratios |
|---|---|---|
| 0 | 0 | 1/1 |
| 1 | 18.6 | |
| 2 | 37.1 | |
| 3 | 55.7 | 30/29, 31/30 |
| 4 | 74.3 | |
| 5 | 92.8 | |
| 6 | 111.4 | 33/31 |
| 7 | 130 | 14/13 |
| 8 | 148.5 | 12/11, 37/34 |
| 9 | 167.1 | 11/10 |
| 10 | 185.7 | 39/35 |
| 11 | 204.2 | |
| 12 | 222.8 | 33/29 |
| 13 | 241.4 | |
| 14 | 260 | 29/25, 36/31 |
| 15 | 278.5 | 34/29 |
| 16 | 297.1 | |
| 17 | 315.7 | 6/5 |
| 18 | 334.2 | 17/14 |
| 19 | 352.8 | |
| 20 | 371.4 | 31/25, 36/29 |
| 21 | 389.9 | |
| 22 | 408.5 | |
| 23 | 427.1 | 23/18 |
| 24 | 445.6 | |
| 25 | 464.2 | 17/13 |
| 26 | 482.8 | 33/25, 37/28 |
| 27 | 501.3 | |
| 28 | 519.9 | 31/23 |
| 29 | 538.5 | |
| 30 | 557 | |
| 31 | 575.6 | |
| 32 | 594.2 | |
| 33 | 612.7 | 37/26 |
| 34 | 631.3 | 36/25 |
| 35 | 649.9 | |
| 36 | 668.4 | 25/17, 28/19 |
| 37 | 687 | |
| 38 | 705.6 | |
| 39 | 724.2 | 35/23 |
| 40 | 742.7 | 23/15 |
| 41 | 761.3 | |
| 42 | 779.9 | |
| 43 | 798.4 | 19/12 |
| 44 | 817 | |
| 45 | 835.6 | |
| 46 | 854.1 | |
| 47 | 872.7 | |
| 48 | 891.3 | |
| 49 | 909.8 | |
| 50 | 928.4 | |
| 51 | 947 | 19/11 |
| 52 | 965.5 | |
| 53 | 984.1 | 30/17 |
| 54 | 1002.7 | 25/14 |
| 55 | 1021.2 | |
| 56 | 1039.8 | 31/17 |
| 57 | 1058.4 | |
| 58 | 1076.9 | |
| 59 | 1095.5 | |
| 60 | 1114.1 | 19/10 |
| 61 | 1132.6 | 25/13 |
| 62 | 1151.2 | 33/17, 35/18, 37/19 |
| 63 | 1169.8 | |
| 64 | 1188.4 | |
| 65 | 1206.9 | |
| 66 | 1225.5 | |
| 67 | 1244.1 | |
| 68 | 1262.6 | 29/14 |
| 69 | 1281.2 | |
| 70 | 1299.8 | 36/17 |
| 71 | 1318.3 | 15/7 |
| 72 | 1336.9 | 13/6 |
| 73 | 1355.5 | |
| 74 | 1374 | 31/14 |
| 75 | 1392.6 | |
| 76 | 1411.2 | |
| 77 | 1429.7 | |
| 78 | 1448.3 | 30/13 |
| 79 | 1466.9 | 7/3 |
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +6.92 | -8.02 | -4.73 | -1.12 | -1.10 | -8.02 | +2.19 | +2.53 | +5.80 | +7.91 | +5.82 |
| Relative (%) | +37.3 | -43.2 | -25.5 | -6.0 | -5.9 | -43.2 | +11.8 | +13.6 | +31.3 | +42.6 | +31.3 | |
| Steps (reduced) |
65 (65) |
102 (23) |
129 (50) |
150 (71) |
167 (9) |
181 (23) |
194 (36) |
205 (47) |
215 (57) |
224 (66) |
232 (74) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -2.78 | -1.10 | -9.14 | +9.11 | -3.01 | -9.12 | +8.68 | -5.85 | +2.53 | -3.74 | -6.42 |
| Relative (%) | -15.0 | -5.9 | -49.2 | +49.1 | -16.2 | -49.1 | +46.8 | -31.5 | +13.6 | -20.1 | -34.6 | |
| Steps (reduced) |
239 (2) |
246 (9) |
252 (15) |
259 (22) |
264 (27) |
269 (32) |
275 (38) |
279 (42) |
284 (47) |
288 (51) |
292 (55) | |