5ed5
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Prime factorization
5 (prime)
Step size
557.263¢
Octave
2\5ed5 (1114.53¢)
(semiconvergent)
Twelfth
3\5ed5 (1671.79¢)
Consistency limit
4
Distinct consistency limit
2
| ← 4ed5 | 5ed5 | 6ed5 → |
(semiconvergent)
Theory
Odd harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | absolute (¢) | -85 | -230 | -171 | +0 | +242 | -25 | -256 | +97 | -85 | -250 | +156 |
| relative (%) | -15 | -41 | -31 | +0 | +43 | -5 | -46 | +17 | -15 | -45 | +28 | |
| Steps (reduced) |
2 (2) |
3 (3) |
4 (4) |
5 (0) |
6 (1) |
6 (1) |
6 (1) |
7 (2) |
7 (2) |
7 (2) |
8 (3) | |
Interval table
| Steps | Cents | Approximate ratios |
|---|---|---|
| 0 | 0 | 1/1, 21/20, 22/21, 26/25, 33/32, 40/39, 45/44, 50/49, 56/55, 64/63, 77/75, 78/77, 80/77 |
| 1 | 557.263 | 4/3, 7/5, 10/7, 11/8, 15/11, 16/11, 21/16, 35/26, 39/28, 45/32, 55/39, 55/42, 56/39, 63/44, 64/45, 65/49, 75/52, 75/56, 78/55 |
| 2 | 1114.53 | 2/1, 11/6, 13/7, 15/8, 20/11, 21/11, 25/13, 28/15, 39/20, 40/21, 49/25, 49/26, 55/28, 63/32, 64/33, 77/39, 77/40 |
| 3 | 1671.79 | 5/2, 8/3, 11/4, 13/5, 21/8, 28/11, 30/11, 35/13, 55/21, 75/28, 77/30 |
| 4 | 2229.05 | 7/2, 11/3, 15/4, 25/7, 26/7, 32/9, 39/11, 40/11, 42/11, 49/13, 52/15, 55/16, 56/15, 80/21 |
| 5 | 2786.31 | 5/1, 39/8, 44/9, 49/10, 77/16 |