9ed5
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Prime factorization
32
Step size
309.59¢
Octave
4\9ed5 (1238.36¢)
(semiconvergent)
Twelfth
6\9ed5 (1857.54¢) (→2\3ed5)
Consistency limit
7
Distinct consistency limit
3
| ← 8ed5 | 9ed5 | 10ed5 → |
(semiconvergent)
Theory
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | absolute (¢) | +38 | -44 | +77 | +0 | -6 | +37 | +115 | -89 | +38 | -127 | +32 |
| relative (%) | +12 | -14 | +25 | +0 | -2 | +12 | +37 | -29 | +12 | -41 | +10 | |
| Steps (reduced) |
4 (4) |
6 (6) |
8 (8) |
9 (0) |
10 (1) |
11 (2) |
12 (3) |
12 (3) |
13 (4) |
13 (4) |
14 (5) | |
Interval table
| Steps | Cents | Approximate ratios |
|---|---|---|
| 0 | 0 | 1/1, 36/35, 45/44, 49/48, 50/49, 55/54, 66/65, 77/75, 78/77 |
| 1 | 309.59 | 6/5, 7/6, 11/9, 13/11, 25/21, 27/22, 49/40, 60/49, 63/52, 65/54, 77/65 |
| 2 | 619.181 | 7/5, 10/7, 13/9, 22/15, 25/18, 35/24, 36/25, 55/39, 63/44, 72/49, 75/52, 77/54, 78/55, 81/55 |
| 3 | 928.771 | 5/3, 7/4, 12/7, 22/13, 26/15, 42/25, 44/25, 45/26, 75/44, 77/45 |
| 4 | 1238.36 | 2/1, 21/10, 25/12, 27/13, 44/21, 45/22, 49/24, 52/25, 55/27, 72/35 |
| 5 | 1547.95 | 5/2, 12/5, 22/9, 27/11, 49/20, 50/21, 52/21, 63/25, 63/26, 65/27 |
| 6 | 1857.54 | 3/1, 20/7, 26/9, 35/12, 44/15, 63/22, 65/22, 72/25, 75/26, 77/26, 77/27 |
| 7 | 2167.13 | 7/2, 18/5, 24/7, 25/7, 39/11, 45/13, 52/15, 75/22 |
| 8 | 2476.72 | 21/5, 25/6, 30/7, 45/11, 49/12, 54/13, 55/13, 77/18 |
| 9 | 2786.31 | 5/1, 44/9, 49/10, 54/11 |
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