User:MisterShafXen/21ed88: Difference between revisions
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Prime factorization
3 × 7
Step size
369.11 ¢
Octave
3\21ed88 (1107.33 ¢) (→ 1\7ed88)
Twelfth
5\21ed88 (1845.55 ¢)
(semiconvergent)
Consistency limit
3
Distinct consistency limit
3
Created page with "{{Infobox ET}} {{ED intro}} == Intervals == {{Interval table|21ed88}}" Tags: Visual edit Mobile edit Mobile web edit Advanced mobile edit |
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Latest revision as of 16:53, 20 August 2025
| ← 20ed88 | 21ed88 | 22ed88 → |
(semiconvergent)
21 equal divisions of the 88th harmonic (abbreviated 21ed88) is a nonoctave tuning system that divides the interval of 88/1 into 21 equal parts of about 369 ¢ each. Each step represents a frequency ratio of 881/21, or the 21st root of 88.
Intervals
| Steps | Cents | Approximate ratios |
|---|---|---|
| 0 | 0 | 1/1 |
| 1 | 369.1 | 21/17 |
| 2 | 738.2 | 20/13, 23/15 |
| 3 | 1107.3 | 17/9, 19/10, 21/11 |
| 4 | 1476.4 | 7/3 |
| 5 | 1845.6 | |
| 6 | 2214.7 | |
| 7 | 2583.8 | |
| 8 | 2952.9 | 11/2 |
| 9 | 3322 | |
| 10 | 3691.1 | 17/2 |
| 11 | 4060.2 | 21/2 |
| 12 | 4429.3 | |
| 13 | 4798.4 | |
| 14 | 5167.5 | |
| 15 | 5536.7 | |
| 16 | 5905.8 | |
| 17 | 6274.9 | |
| 18 | 6644 | |
| 19 | 7013.1 | |
| 20 | 7382.2 | |
| 21 | 7751.3 |