User:MisterShafXen/33ed7/5
| ← 32ed7/5 | 33ed7/5 | 34ed7/5 → |
(convergent)
33 equal divisions of 7/5 (abbreviated 33ed7/5) is a nonoctave tuning system that divides the interval of 7/5 into 33 equal parts of about 17.7 ¢ each. Each step represents a frequency ratio of (7/5)1/33, or the 33rd root of 7/5.
Intervals
| Steps | Cents | Approximate ratios |
|---|---|---|
| 0 | 0 | 1/1 |
| 1 | 17.7 | |
| 2 | 35.3 | |
| 3 | 53 | |
| 4 | 70.6 | 24/23, 25/24, 26/25, 27/26 |
| 5 | 88.3 | 19/18, 20/19, 21/20 |
| 6 | 105.9 | 16/15, 17/16, 18/17 |
| 7 | 123.6 | 14/13, 15/14 |
| 8 | 141.2 | 13/12, 25/23, 27/25 |
| 9 | 158.9 | 11/10, 12/11, 23/21 |
| 10 | 176.5 | 10/9, 21/19 |
| 11 | 194.2 | 19/17, 28/25 |
| 12 | 211.8 | 9/8, 17/15, 26/23 |
| 13 | 229.5 | 8/7, 25/22 |
| 14 | 247.1 | 15/13, 22/19, 23/20 |
| 15 | 264.8 | 7/6 |
| 16 | 282.4 | 20/17, 27/23 |
| 17 | 300.1 | 19/16, 25/21 |
| 18 | 317.7 | 6/5 |
| 19 | 335.4 | 17/14, 23/19, 28/23 |
| 20 | 353 | 16/13 |
| 21 | 370.7 | 21/17, 26/21 |
| 22 | 388.3 | 5/4 |
| 23 | 406 | 19/15, 24/19 |
| 24 | 423.6 | 14/11, 23/18 |
| 25 | 441.3 | 9/7, 22/17 |
| 26 | 458.9 | 13/10, 17/13 |
| 27 | 476.6 | 21/16, 25/19 |
| 28 | 494.3 | 4/3 |
| 29 | 511.9 | |
| 30 | 529.6 | 19/14, 23/17 |
| 31 | 547.2 | 11/8, 26/19 |
| 32 | 564.9 | 18/13, 25/18 |
| 33 | 582.5 | 7/5 |