User:MisterShafXen/24ed9/4
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Prime factorization
23 × 3 (highly composite)
Step size
58.4963 ¢
Octave
21\24ed9/4 (1228.42 ¢) (→ 7\8ed9/4)
Twelfth
33\24ed9/4 (1930.38 ¢) (→ 11\8ed9/4)
Consistency limit
3
Distinct consistency limit
3
| ← 22ed9/4 | 24ed9/4 | 26ed9/4 → |
24 equal divisions of 9/4 (abbreviated 24ed9/4) is a nonoctave tuning system that divides the interval of 9/4 into 24 equal parts of about 58.5 ¢ each. Each step represents a frequency ratio of (9/4)1/24, or the 24th root of 9/4.
Intervals
| Steps | Cents | Approximate ratios |
|---|---|---|
| 0 | 0 | 1/1 |
| 1 | 58.5 | 26/25 |
| 2 | 117 | 15/14 |
| 3 | 175.5 | 10/9 |
| 4 | 234 | 25/22 |
| 5 | 292.5 | 13/11, 25/21 |
| 6 | 351 | |
| 7 | 409.5 | |
| 8 | 468 | 17/13 |
| 9 | 526.5 | 23/17 |
| 10 | 585 | 7/5 |
| 11 | 643.5 | |
| 12 | 702 | 3/2 |
| 13 | 760.5 | 14/9, 17/11 |
| 14 | 818.9 | |
| 15 | 877.4 | 5/3 |
| 16 | 935.9 | 19/11 |
| 17 | 994.4 | 23/13, 25/14 |
| 18 | 1052.9 | |
| 19 | 1111.4 | |
| 20 | 1169.9 | |
| 21 | 1228.4 | |
| 22 | 1286.9 | 21/10, 23/11 |
| 23 | 1345.4 | |
| 24 | 1403.9 | 9/4 |