User:MisterShafXen/51edf: Difference between revisions
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Prime factorization
3 × 17
Step size
13.7638 ¢
Octave
87\51edf (1197.45 ¢) (→ 29\17edf)
Twelfth
138\51edf (1899.41 ¢) (→ 46\17edf)
Consistency limit
6
Distinct consistency limit
6
Created page with "{{Infobox ET}} {{ED intro}} == Intervals == {{Interval table|51edf}}" Tags: Visual edit Mobile edit Mobile web edit |
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Latest revision as of 14:43, 1 August 2025
| ← 50edf | 51edf | 52edf → |
51 equal divisions of the perfect fifth (abbreviated 51edf or 51ed3/2) is a nonoctave tuning system that divides the interval of 3/2 into 51 equal parts of about 13.8 ¢ each. Each step represents a frequency ratio of (3/2)1/51, or the 51st root of 3/2.
Intervals
| Steps | Cents | Approximate ratios |
|---|---|---|
| 0 | 0 | 1/1 |
| 1 | 13.8 | |
| 2 | 27.5 | |
| 3 | 41.3 | |
| 4 | 55.1 | |
| 5 | 68.8 | 24/23, 25/24 |
| 6 | 82.6 | 22/21 |
| 7 | 96.3 | 18/17, 19/18 |
| 8 | 110.1 | 16/15, 17/16, 31/29 |
| 9 | 123.9 | 14/13 |
| 10 | 137.6 | 27/25 |
| 11 | 151.4 | |
| 12 | 165.2 | |
| 13 | 178.9 | 10/9, 31/28 |
| 14 | 192.7 | 19/17, 29/26 |
| 15 | 206.5 | 9/8 |
| 16 | 220.2 | 17/15 |
| 17 | 234 | |
| 18 | 247.7 | |
| 19 | 261.5 | |
| 20 | 275.3 | 27/23 |
| 21 | 289 | 13/11, 32/27 |
| 22 | 302.8 | 19/16, 31/26 |
| 23 | 316.6 | 6/5 |
| 24 | 330.3 | 23/19 |
| 25 | 344.1 | 28/23 |
| 26 | 357.9 | |
| 27 | 371.6 | 26/21 |
| 28 | 385.4 | 5/4 |
| 29 | 399.2 | 24/19 |
| 30 | 412.9 | 14/11, 19/15 |
| 31 | 426.7 | 23/18, 32/25 |
| 32 | 440.4 | |
| 33 | 454.2 | |
| 34 | 468 | |
| 35 | 481.7 | 29/22 |
| 36 | 495.5 | 4/3 |
| 37 | 509.3 | |
| 38 | 523 | 23/17, 27/20 |
| 39 | 536.8 | |
| 40 | 550.6 | |
| 41 | 564.3 | 25/18 |
| 42 | 578.1 | |
| 43 | 591.8 | 24/17, 31/22 |
| 44 | 605.6 | 17/12, 27/19 |
| 45 | 619.4 | |
| 46 | 633.1 | 23/16 |
| 47 | 646.9 | |
| 48 | 660.7 | |
| 49 | 674.4 | 28/19, 31/21 |
| 50 | 688.2 | |
| 51 | 702 | 3/2 |