User:Lériendil/76ed81/5
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Prime factorization
5 (prime)
Step size
240 ¢
Fifth
3\5 (720 ¢)
(convergent)
Semitones (A1:m2)
1:0 (240 ¢ : 0 ¢)
Consistency limit
9
Distinct consistency limit
3
| ← 4edo | 5 | 6edo → |
(convergent)
76 equal divisions of 81/5 (abbreviated 76ed81/5) is a nonoctave tuning system that divides the interval of 81/5 into 76 equal parts of about 63.4 ¢ each. Each step represents a frequency ratio of (81/5)1/76, or the 76th root of 81/5.
Harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | 37 | 41 | 43 | 47 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +52.9246 | +34.3830 | -52.6600 | +48.2412 | -50.8374 | +1.6596 | -7.1592 | +28.0877 | +39.0330 | -20.5631 | -22.1192 | +13.2790 | -50.5371 | -19.0902 | +54.7254 |
| Relative (%) | +46.5 | +30.2 | -46.2 | +42.4 | -44.6 | +1.5 | -6.3 | +24.7 | +34.3 | -18.1 | -19.4 | +11.7 | -44.4 | -16.8 | +48.0 | |
| Steps (reduced) |
11 (11) |
17 (17) |
24 (24) |
30 (30) |
36 (36) |
39 (39) |
43 (43) |
45 (45) |
48 (48) |
51 (51) |
52 (52) |
55 (55) |
56 (56) |
57 (57) |
59 (59) | |
|
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