User:MisterShafXen/46ed7/4
| ← 45ed7/4 | 46ed7/4 | 47ed7/4 → |
(semiconvergent)
46 equal divisions of 7/4 (abbreviated 46ed7/4) is a nonoctave tuning system that divides the interval of 7/4 into 46 equal parts of about 21.1 ¢ each. Each step represents a frequency ratio of (7/4)1/46, or the 46th root of 7/4.
Intervals
| Steps | Cents | Approximate ratios |
|---|---|---|
| 0 | 0 | 1/1 |
| 1 | 21.1 | |
| 2 | 42.1 | |
| 3 | 63.2 | 29/28 |
| 4 | 84.2 | 20/19, 21/20, 22/21 |
| 5 | 105.3 | 17/16 |
| 6 | 126.4 | 14/13 |
| 7 | 147.4 | 12/11 |
| 8 | 168.5 | 11/10, 21/19 |
| 9 | 189.6 | 19/17, 29/26 |
| 10 | 210.6 | 26/23 |
| 11 | 231.7 | 8/7 |
| 12 | 252.7 | 22/19 |
| 13 | 273.8 | |
| 14 | 294.9 | 13/11, 19/16 |
| 15 | 315.9 | 6/5 |
| 16 | 337 | 17/14, 28/23 |
| 17 | 358 | 16/13 |
| 18 | 379.1 | |
| 19 | 400.2 | 24/19, 29/23 |
| 20 | 421.2 | 14/11 |
| 21 | 442.3 | 22/17, 31/24 |
| 22 | 463.4 | 17/13 |
| 23 | 484.4 | |
| 24 | 505.5 | |
| 25 | 526.5 | 19/14, 23/17 |
| 26 | 547.6 | 11/8, 26/19 |
| 27 | 568.7 | 25/18 |
| 28 | 589.7 | 31/22 |
| 29 | 610.8 | |
| 30 | 631.8 | 23/16 |
| 31 | 652.9 | 16/11, 19/13 |
| 32 | 674 | 28/19, 31/21 |
| 33 | 695 | |
| 34 | 716.1 | |
| 35 | 737.2 | 26/17, 29/19 |
| 36 | 758.2 | 17/11, 31/20 |
| 37 | 779.3 | 11/7 |
| 38 | 800.3 | 19/12 |
| 39 | 821.4 | |
| 40 | 842.5 | 13/8, 31/19 |
| 41 | 863.5 | 23/14, 28/17 |
| 42 | 884.6 | 5/3 |
| 43 | 905.6 | 22/13 |
| 44 | 926.7 | 29/17 |
| 45 | 947.8 | 19/11 |
| 46 | 968.8 | 7/4 |