3ed5
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Prime factorization
3 (prime)
Step size
928.771¢
Octave
1\3ed5 (928.771¢)
(semiconvergent)
Twelfth
2\3ed5 (1857.54¢)
(convergent)
Consistency limit
3
Distinct consistency limit
2
| ← 2ed5 | 3ed5 | 4ed5 → |
(semiconvergent)
(convergent)
Theory
Odd harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | absolute (¢) | -271 | -44 | +386 | +0 | -316 | +346 | +115 | -89 | -271 | -436 | +342 |
| relative (%) | -29 | -5 | +42 | +0 | -34 | +37 | +12 | -10 | -29 | -47 | +37 | |
| Steps (reduced) |
1 (1) |
2 (2) |
3 (0) |
3 (0) |
3 (0) |
4 (1) |
4 (1) |
4 (1) |
4 (1) |
4 (1) |
5 (2) | |
Interval table
| Steps | Cents | Approximate ratios |
|---|---|---|
| 0 | 0 | 1/1, 12/11, 14/13, 15/14, 26/25, 27/25, 27/26, 28/27, 55/52, 55/54, 56/55, 65/63, 77/75, 78/77, 81/77 |
| 1 | 928.771 | 5/3, 9/5, 11/6, 13/7, 18/11, 20/11, 21/13, 25/14, 26/15, 28/15, 33/20, 39/25, 42/25, 45/26, 45/28, 50/27, 52/33, 56/33, 70/39, 77/45, 81/50 |
| 2 | 1857.54 | 3/1, 11/4, 14/5, 25/9, 26/9, 27/10, 28/9, 30/11, 35/13, 39/14, 55/18, 65/21, 75/26, 75/28, 77/25, 77/26, 77/27, 78/25, 81/26, 81/28 |
| 3 | 2786.31 | 5/1, 14/3, 52/11, 54/11, 55/12, 63/13, 65/14 |