User:MisterShafXen/59ed8/5
| ← 58ed8/5 | 59ed8/5 | 60ed8/5 → |
(semiconvergent)
(semiconvergent)
59 equal divisions of 8/5 (abbreviated 59ed8/5) is a nonoctave tuning system that divides the interval of 8/5 into 59 equal parts of about 13.8 ¢ each. Each step represents a frequency ratio of (8/5)1/59, or the 59th root of 8/5.
Intervals
| Steps | Cents | Approximate ratios |
|---|---|---|
| 0 | 0 | 1/1 |
| 1 | 13.8 | |
| 2 | 27.6 | |
| 3 | 41.4 | |
| 4 | 55.2 | 30/29, 31/30, 32/31, 33/32, 34/33 |
| 5 | 69 | 25/24, 26/25, 27/26 |
| 6 | 82.7 | 21/20, 22/21 |
| 7 | 96.5 | 18/17, 19/18 |
| 8 | 110.3 | 16/15, 33/31 |
| 9 | 124.1 | 14/13, 29/27 |
| 10 | 137.9 | 13/12 |
| 11 | 151.7 | 12/11 |
| 12 | 165.5 | 11/10 |
| 13 | 179.3 | 10/9, 31/28 |
| 14 | 193.1 | 19/17, 28/25, 29/26 |
| 15 | 206.9 | 9/8 |
| 16 | 220.7 | 17/15, 25/22, 33/29 |
| 17 | 234.5 | 8/7 |
| 18 | 248.2 | 15/13 |
| 19 | 262 | |
| 20 | 275.8 | 27/23, 34/29 |
| 21 | 289.6 | 13/11, 32/27 |
| 22 | 303.4 | 25/21, 31/26 |
| 23 | 317.2 | 6/5 |
| 24 | 331 | 23/19, 29/24 |
| 25 | 344.8 | 11/9 |
| 26 | 358.6 | 16/13, 27/22 |
| 27 | 372.4 | 26/21, 31/25 |
| 28 | 386.2 | 5/4 |
| 29 | 399.9 | 24/19, 29/23, 34/27 |
| 30 | 413.7 | 14/11, 19/15, 33/26 |
| 31 | 427.5 | 23/18, 32/25 |
| 32 | 441.3 | 31/24 |
| 33 | 455.1 | 13/10 |
| 34 | 468.9 | 17/13, 21/16 |
| 35 | 482.7 | 29/22, 33/25 |
| 36 | 496.5 | 4/3 |
| 37 | 510.3 | |
| 38 | 524.1 | 23/17, 27/20 |
| 39 | 537.9 | 15/11 |
| 40 | 551.7 | 11/8 |
| 41 | 565.4 | 18/13, 25/18 |
| 42 | 579.2 | 7/5 |
| 43 | 593 | 24/17, 31/22 |
| 44 | 606.8 | 17/12, 27/19 |
| 45 | 620.6 | 10/7, 33/23 |
| 46 | 634.4 | 13/9 |
| 47 | 648.2 | 16/11 |
| 48 | 662 | 22/15 |
| 49 | 675.8 | 31/21, 34/23 |
| 50 | 689.6 | |
| 51 | 703.4 | 3/2 |
| 52 | 717.1 | |
| 53 | 730.9 | 29/19, 32/21 |
| 54 | 744.7 | 20/13 |
| 55 | 758.5 | 31/20 |
| 56 | 772.3 | 25/16 |
| 57 | 786.1 | 11/7 |
| 58 | 799.9 | 19/12, 27/17 |
| 59 | 813.7 | 8/5 |