User:MisterShafXen/39ed87: Difference between revisions
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Prime factorization
3 × 13
Step size
198.244 ¢
Octave
6\39ed87 (1189.47 ¢) (→ 2\13ed87)
Twelfth
10\39ed87 (1982.44 ¢)
Consistency limit
3
Distinct consistency limit
3
Created page with "{{Infobox ET}} {{ED intro}} == Intervals == {{Interval table|39ed87}}" Tags: Visual edit Mobile edit Mobile web edit |
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Latest revision as of 14:43, 1 August 2025
| ← 38ed87 | 39ed87 | 40ed87 → |
39 equal divisions of the 87th harmonic (abbreviated 39ed87) is a nonoctave tuning system that divides the interval of 87/1 into 39 equal parts of about 198 ¢ each. Each step represents a frequency ratio of 871/39, or the 39th root of 87.
Intervals
| Steps | Cents | Approximate ratios |
|---|---|---|
| 0 | 0 | 1/1 |
| 1 | 198.2 | 19/17, 28/25 |
| 2 | 396.5 | 29/23 |
| 3 | 594.7 | 24/17 |
| 4 | 793 | 19/12 |
| 5 | 991.2 | 23/13 |
| 6 | 1189.5 | |
| 7 | 1387.7 | 29/13 |
| 8 | 1586 | 5/2 |
| 9 | 1784.2 | 14/5 |
| 10 | 1982.4 | 22/7 |
| 11 | 2180.7 | |
| 12 | 2378.9 | |
| 13 | 2577.2 | |
| 14 | 2775.4 | |
| 15 | 2973.7 | |
| 16 | 3171.9 | 25/4 |
| 17 | 3370.2 | 7/1 |
| 18 | 3568.4 | |
| 19 | 3766.6 | |
| 20 | 3964.9 | |
| 21 | 4163.1 | |
| 22 | 4361.4 | |
| 23 | 4559.6 | |
| 24 | 4757.9 | |
| 25 | 4956.1 | |
| 26 | 5154.4 | |
| 27 | 5352.6 | |
| 28 | 5550.8 | |
| 29 | 5749.1 | |
| 30 | 5947.3 | |
| 31 | 6145.6 | |
| 32 | 6343.8 | |
| 33 | 6542.1 | |
| 34 | 6740.3 | |
| 35 | 6938.6 | |
| 36 | 7136.8 | |
| 37 | 7335 | |
| 38 | 7533.3 | |
| 39 | 7731.5 |