User:MisterShafXen/21ed8/7
| ← 20ed8/7 | 21ed8/7 | 22ed8/7 → |
(convergent)
21 equal divisions of 8/7 (abbreviated 21ed8/7) is a nonoctave tuning system that divides the interval of 8/7 into 21 equal parts of about 11 ¢ each. Each step represents a frequency ratio of (8/7)1/21, or the 21st root of 8/7.
Intervals
| Steps | Cents | Approximate ratios |
|---|---|---|
| 0 | 0 | 1/1 |
| 1 | 11 | |
| 2 | 22 | |
| 3 | 33 | |
| 4 | 44 | |
| 5 | 55 | 30/29, 31/30, 32/31, 33/32, 34/33 |
| 6 | 66 | 26/25 |
| 7 | 77.1 | 22/21, 23/22, 24/23 |
| 8 | 88.1 | 20/19, 21/20 |
| 9 | 99.1 | 18/17, 35/33 |
| 10 | 110.1 | 16/15, 33/31 |
| 11 | 121.1 | 15/14, 29/27 |
| 12 | 132.1 | 14/13 |
| 13 | 143.1 | 25/23 |
| 14 | 154.1 | 12/11, 23/21, 35/32 |
| 15 | 165.1 | 11/10 |
| 16 | 176.1 | 21/19, 31/28 |
| 17 | 187.1 | |
| 18 | 198.1 | 28/25 |
| 19 | 209.2 | 26/23, 35/31 |
| 20 | 220.2 | 17/15, 25/22, 33/29 |
| 21 | 231.2 | 8/7 |
| 22 | 242.2 | 23/20 |
| 23 | 253.2 | 22/19 |
| 24 | 264.2 | 7/6 |
| 25 | 275.2 | 34/29 |
| 26 | 286.2 | 13/11, 33/28 |
| 27 | 297.2 | 19/16 |
| 28 | 308.2 | 31/26 |
| 29 | 319.2 | 6/5 |
| 30 | 330.2 | 23/19, 29/24 |
| 31 | 341.3 | 28/23 |
| 32 | 352.3 | |
| 33 | 363.3 | 16/13, 21/17 |
| 34 | 374.3 | 31/25 |
| 35 | 385.3 | 5/4 |
| 36 | 396.3 | 34/27 |
| 37 | 407.3 | 19/15, 24/19 |
| 38 | 418.3 | 14/11 |
| 39 | 429.3 | 32/25 |
| 40 | 440.3 | 31/24 |
| 41 | 451.3 | 13/10 |
| 42 | 462.3 | 30/23 |
| 43 | 473.4 | 21/16, 25/19 |
| 44 | 484.4 | 33/25 |
| 45 | 495.4 | 4/3 |
| 46 | 506.4 | |
| 47 | 517.4 | 31/23, 35/26 |
| 48 | 528.4 | 19/14 |
| 49 | 539.4 | 15/11, 26/19 |
| 50 | 550.4 | 11/8 |
| 51 | 561.4 | 29/21 |
| 52 | 572.4 | 32/23 |
| 53 | 583.4 | 7/5 |
| 54 | 594.4 | 24/17, 31/22 |
| 55 | 605.5 | 17/12 |
| 56 | 616.5 | 10/7 |
| 57 | 627.5 | 23/16, 33/23 |
| 58 | 638.5 | |
| 59 | 649.5 | 16/11, 35/24 |
| 60 | 660.5 | 19/13, 22/15 |
| 61 | 671.5 | 28/19, 31/21 |
| 62 | 682.5 | |
| 63 | 693.5 |