User:MisterShafXen/59ed9/5
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59 equal divisions of 9/5 (abbreviated 59ed9/5) is a nonoctave tuning system that divides the interval of 9/5 into 59 equal parts of about 17.2 ¢ each. Each step represents a frequency ratio of (9/5)1/59, or the 59th root of 9/5.
Intervals
| Steps | Cents | Approximate ratios |
|---|---|---|
| 0 | 0 | 1/1 |
| 1 | 17.2 | |
| 2 | 34.5 | |
| 3 | 51.7 | 34/33 |
| 4 | 69 | 25/24 |
| 5 | 86.2 | |
| 6 | 103.5 | 18/17 |
| 7 | 120.7 | 15/14 |
| 8 | 138 | |
| 9 | 155.2 | 12/11 |
| 10 | 172.5 | 31/28 |
| 11 | 189.7 | 29/26 |
| 12 | 207 | |
| 13 | 224.2 | 25/22, 33/29 |
| 14 | 241.5 | |
| 15 | 258.7 | |
| 16 | 276 | 34/29 |
| 17 | 293.2 | |
| 18 | 310.5 | |
| 19 | 327.7 | 23/19 |
| 20 | 344.9 | 28/23 |
| 21 | 362.2 | 21/17 |
| 22 | 379.4 | |
| 23 | 396.7 | |
| 24 | 413.9 | 14/11, 33/26 |
| 25 | 431.2 | 9/7 |
| 26 | 448.4 | |
| 27 | 465.7 | 17/13 |
| 28 | 482.9 | |
| 29 | 500.2 | |
| 30 | 517.4 | 31/23 |
| 31 | 534.7 | 15/11 |
| 32 | 551.9 | |
| 33 | 569.2 | |
| 34 | 586.4 | |
| 35 | 603.7 | |
| 36 | 620.9 | 33/23 |
| 37 | 638.2 | 13/9 |
| 38 | 655.4 | |
| 39 | 672.6 | 28/19, 34/23 |
| 40 | 689.9 | |
| 41 | 707.1 | |
| 42 | 724.4 | |
| 43 | 741.6 | 23/15 |
| 44 | 758.9 | |
| 45 | 776.1 | |
| 46 | 793.4 | 19/12, 30/19 |
| 47 | 810.6 | |
| 48 | 827.9 | 21/13, 29/18 |
| 49 | 845.1 | 31/19 |
| 50 | 862.4 | 23/14 |
| 51 | 879.6 | |
| 52 | 896.9 | |
| 53 | 914.1 | |
| 54 | 931.4 | |
| 55 | 948.6 | 19/11, 26/15 |
| 56 | 965.9 | |
| 57 | 983.1 | |
| 58 | 1000.3 | |
| 59 | 1017.6 |