8ed5
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Prime factorization
23
Step size
348.289¢
Octave
3\8ed5 (1044.87¢)
Twelfth
5\8ed5 (1741.45¢)
Consistency limit
3
Distinct consistency limit
2
| ← 7ed5 | 8ed5 | 9ed5 → |
Theory
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | absolute (¢) | -155 | -161 | +38 | +0 | +33 | +114 | -117 | +27 | -155 | +28 | -122 |
| relative (%) | -45 | -46 | +11 | +0 | +9 | +33 | -34 | +8 | -45 | +8 | -35 | |
| Steps (reduced) |
3 (3) |
5 (5) |
7 (7) |
8 (0) |
9 (1) |
10 (2) |
10 (2) |
11 (3) |
11 (3) |
12 (4) |
12 (4) | |
Interval table
| Steps | Cents | Approximate ratios |
|---|---|---|
| 0 | 0 | 1/1, 45/44, 81/80 |
| 1 | 348.289 | 13/11, 25/21, 26/21, 56/45, 63/50, 63/52, 77/65 |
| 2 | 696.578 | 3/2, 22/15, 40/27, 50/33 |
| 3 | 1044.87 | 13/7, 25/14, 28/15, 39/22, 70/39 |
| 4 | 1393.16 | 9/4, 11/5, 20/9, 25/11 |
| 5 | 1741.45 | 14/5, 35/13, 39/14, 75/28 |
| 6 | 2089.74 | 10/3, 27/8, 33/10, 75/22 |
| 7 | 2438.02 | 21/5, 55/13 |
| 8 | 2786.31 | 5/1, 44/9 |