User:MisterShafXen/41ed8/5
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Prime factorization
41 (prime)
Step size
19.846 ¢
Octave
60\41ed8/5 (1190.76 ¢)
Twelfth
96\41ed8/5 (1905.22 ¢)
(semiconvergent)
Consistency limit
2
Distinct consistency limit
2
| ← 40ed8/5 | 41ed8/5 | 42ed8/5 → |
(semiconvergent)
41 equal divisions of 8/5 (abbreviated 41ed8/5) is a nonoctave tuning system that divides the interval of 8/5 into 41 equal parts of about 19.8 ¢ each. Each step represents a frequency ratio of (8/5)1/41, or the 41st root of 8/5.
Intervals
| Steps | Cents | Approximate ratios |
|---|---|---|
| 0 | 0 | 1/1 |
| 1 | 19.8 | |
| 2 | 39.7 | |
| 3 | 59.5 | |
| 4 | 79.4 | |
| 5 | 99.2 | 18/17, 19/18 |
| 6 | 119.1 | 15/14, 29/27 |
| 7 | 138.9 | |
| 8 | 158.8 | 23/21 |
| 9 | 178.6 | 21/19 |
| 10 | 198.5 | 19/17, 28/25 |
| 11 | 218.3 | 17/15, 25/22 |
| 12 | 238.2 | |
| 13 | 258 | |
| 14 | 277.8 | 27/23 |
| 15 | 297.7 | |
| 16 | 317.5 | 6/5 |
| 17 | 337.4 | 17/14, 23/19 |
| 18 | 357.2 | |
| 19 | 377.1 | |
| 20 | 396.9 | 29/23 |
| 21 | 416.8 | 14/11 |
| 22 | 436.6 | 9/7 |
| 23 | 456.5 | |
| 24 | 476.3 | |
| 25 | 496.2 | |
| 26 | 516 | |
| 27 | 535.8 | 15/11 |
| 28 | 555.7 | 29/21 |
| 29 | 575.5 | |
| 30 | 595.4 | |
| 31 | 615.2 | 27/19 |
| 32 | 635.1 | 13/9 |
| 33 | 654.9 | 19/13 |
| 34 | 674.8 | |
| 35 | 694.6 | |
| 36 | 714.5 | |
| 37 | 734.3 | 26/17, 29/19 |
| 38 | 754.1 | 17/11 |
| 39 | 774 | |
| 40 | 793.8 | |
| 41 | 813.7 |