User:MisterShafXen/36ed88: Difference between revisions
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Prime factorization
22 × 32 (highly composite)
Step size
215.314 ¢
Octave
6\36ed88 (1291.89 ¢) (→ 1\6ed88)
Twelfth
9\36ed88 (1937.83 ¢) (→ 1\4ed88)
Consistency limit
3
Distinct consistency limit
3
Created page with "{{Infobox ET}} {{ED intro}} == Intervals == {{Interval table|36ed88}}" Tags: Visual edit Mobile edit Mobile web edit |
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Latest revision as of 14:43, 1 August 2025
| ← 35ed88 | 36ed88 | 37ed88 → |
36 equal divisions of the 88th harmonic (abbreviated 36ed88) is a nonoctave tuning system that divides the interval of 88/1 into 36 equal parts of about 215 ¢ each. Each step represents a frequency ratio of 881/36, or the 36th root of 88.
Intervals
| Steps | Cents | Approximate ratios |
|---|---|---|
| 0 | 0 | 1/1 |
| 1 | 215.3 | 17/15, 25/22 |
| 2 | 430.6 | 9/7 |
| 3 | 645.9 | |
| 4 | 861.3 | |
| 5 | 1076.6 | 13/7 |
| 6 | 1291.9 | 19/9, 21/10 |
| 7 | 1507.2 | |
| 8 | 1722.5 | 19/7, 27/10 |
| 9 | 1937.8 | |
| 10 | 2153.1 | |
| 11 | 2368.5 | |
| 12 | 2583.8 | |
| 13 | 2799.1 | |
| 14 | 3014.4 | |
| 15 | 3229.7 | |
| 16 | 3445 | 22/3 |
| 17 | 3660.3 | |
| 18 | 3875.7 | |
| 19 | 4091 | |
| 20 | 4306.3 | |
| 21 | 4521.6 | |
| 22 | 4736.9 | |
| 23 | 4952.2 | |
| 24 | 5167.5 | |
| 25 | 5382.9 | |
| 26 | 5598.2 | |
| 27 | 5813.5 | |
| 28 | 6028.8 | |
| 29 | 6244.1 | |
| 30 | 6459.4 | |
| 31 | 6674.7 | |
| 32 | 6890.1 | |
| 33 | 7105.4 | |
| 34 | 7320.7 | |
| 35 | 7536 | |
| 36 | 7751.3 |