User:MisterShafXen/64ed88: Difference between revisions
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Prime factorization
26
Step size
121.114 ¢
Octave
10\64ed88 (1211.14 ¢) (→ 5\32ed88)
Twelfth
16\64ed88 (1937.83 ¢) (→ 1\4ed88)
Consistency limit
8
Distinct consistency limit
5
Created page with "{{Infobox ET}} {{ED intro}} == Intervals == {{Interval table|64ed88}}" Tags: Visual edit Mobile edit Mobile web edit |
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Latest revision as of 14:44, 1 August 2025
| ← 63ed88 | 64ed88 | 65ed88 → |
64 equal divisions of the 88th harmonic (abbreviated 64ed88) is a nonoctave tuning system that divides the interval of 88/1 into 64 equal parts of about 121 ¢ each. Each step represents a frequency ratio of 881/64, or the 64th root of 88.
Intervals
| Steps | Cents | Approximate ratios |
|---|---|---|
| 0 | 0 | 1/1 |
| 1 | 121.1 | 15/14 |
| 2 | 242.2 | 23/20 |
| 3 | 363.3 | 16/13 |
| 4 | 484.5 | 33/25 |
| 5 | 605.6 | |
| 6 | 726.7 | 32/21, 35/23 |
| 7 | 847.8 | 31/19 |
| 8 | 968.9 | 7/4 |
| 9 | 1090 | 15/8 |
| 10 | 1211.1 | |
| 11 | 1332.3 | 28/13 |
| 12 | 1453.4 | |
| 13 | 1574.5 | |
| 14 | 1695.6 | 8/3 |
| 15 | 1816.7 | 20/7 |
| 16 | 1937.8 | |
| 17 | 2058.9 | 23/7 |
| 18 | 2180.1 | |
| 19 | 2301.2 | |
| 20 | 2422.3 | |
| 21 | 2543.4 | |
| 22 | 2664.5 | 14/3 |
| 23 | 2785.6 | 5/1 |
| 24 | 2906.7 | |
| 25 | 3027.9 | 23/4 |
| 26 | 3149 | |
| 27 | 3270.1 | 33/5 |
| 28 | 3391.2 | |
| 29 | 3512.3 | |
| 30 | 3633.4 | |
| 31 | 3754.5 | 35/4 |
| 32 | 3875.7 | |
| 33 | 3996.8 | |
| 34 | 4117.9 | |
| 35 | 4239 | |
| 36 | 4360.1 | |
| 37 | 4481.2 | |
| 38 | 4602.3 | |
| 39 | 4723.5 | |
| 40 | 4844.6 | |
| 41 | 4965.7 | |
| 42 | 5086.8 | |
| 43 | 5207.9 | |
| 44 | 5329 | |
| 45 | 5450.1 | |
| 46 | 5571.3 | |
| 47 | 5692.4 | |
| 48 | 5813.5 | |
| 49 | 5934.6 | |
| 50 | 6055.7 | |
| 51 | 6176.8 | |
| 52 | 6297.9 | |
| 53 | 6419.1 | |
| 54 | 6540.2 | |
| 55 | 6661.3 | |
| 56 | 6782.4 | |
| 57 | 6903.5 | |
| 58 | 7024.6 | |
| 59 | 7145.7 | |
| 60 | 7266.9 | |
| 61 | 7388 | |
| 62 | 7509.1 | |
| 63 | 7630.2 | |
| 64 | 7751.3 |