User:MisterShafXen/38ed7/4
| ← 37ed7/4 | 38ed7/4 | 39ed7/4 → |
38 equal divisions of 7/4 (abbreviated 38ed7/4) is a nonoctave tuning system that divides the interval of 7/4 into 38 equal parts of about 25.5 ¢ each. Each step represents a frequency ratio of (7/4)1/38, or the 38th root of 7/4.
Intervals
| Steps | Cents | Approximate ratios |
|---|---|---|
| 0 | 0 | 1/1 |
| 1 | 25.5 | |
| 2 | 51 | |
| 3 | 76.5 | 22/21, 23/22, 24/23 |
| 4 | 102 | 17/16 |
| 5 | 127.5 | 14/13 |
| 6 | 153 | 12/11, 23/21 |
| 7 | 178.5 | 21/19 |
| 8 | 204 | |
| 9 | 229.5 | 8/7 |
| 10 | 255 | 15/13, 22/19 |
| 11 | 280.4 | 20/17 |
| 12 | 305.9 | |
| 13 | 331.4 | 17/14, 23/19, 29/24 |
| 14 | 356.9 | 16/13 |
| 15 | 382.4 | 5/4 |
| 16 | 407.9 | 19/15, 24/19, 29/23 |
| 17 | 433.4 | |
| 18 | 458.9 | 13/10, 17/13 |
| 19 | 484.4 | 29/22 |
| 20 | 509.9 | |
| 21 | 535.4 | 15/11, 19/14, 26/19 |
| 22 | 560.9 | 29/21 |
| 23 | 586.4 | 7/5 |
| 24 | 611.9 | 10/7 |
| 25 | 637.4 | |
| 26 | 662.9 | 19/13, 22/15, 25/17 |
| 27 | 688.4 | |
| 28 | 713.9 | |
| 29 | 739.4 | 20/13, 23/15, 26/17, 29/19 |
| 30 | 764.9 | |
| 31 | 790.4 | 19/12 |
| 32 | 815.9 | 8/5 |
| 33 | 841.3 | 13/8 |
| 34 | 866.8 | 23/14, 28/17 |
| 35 | 892.3 | |
| 36 | 917.8 | 17/10, 22/13 |
| 37 | 943.3 | 19/11 |
| 38 | 968.8 | 7/4 |