34/27, the septendecimal quasi-tempered major third, is a 17-limit interval that is extremely well-approximated by 1\3.
Approximation
Edo approximations for 34/27 (399.09 ¢)
≤ 80edo, relative error ≤ 10%
| Edo |
Step size |
Cents (¢) |
Absolute error (¢) |
Relative error (%)
|
| 3 |
1\3 |
400.00 |
+0.91 |
+0.23
|
| 6 |
2\6 |
400.00 |
+0.91 |
+0.45
|
| 9 |
3\9 |
400.00 |
+0.91 |
+0.68
|
| 12 |
4\12 |
400.00 |
+0.91 |
+0.91
|
| 15 |
5\15 |
400.00 |
+0.91 |
+1.14
|
| 18 |
6\18 |
400.00 |
+0.91 |
+1.36
|
| 21 |
7\21 |
400.00 |
+0.91 |
+1.59
|
| 24 |
8\24 |
400.00 |
+0.91 |
+1.82
|
| 27 |
9\27 |
400.00 |
+0.91 |
+2.05
|
| 30 |
10\30 |
400.00 |
+0.91 |
+2.27
|
| 33 |
11\33 |
400.00 |
+0.91 |
+2.50
|
| 36 |
12\36 |
400.00 |
+0.91 |
+2.73
|
| 39 |
13\39 |
400.00 |
+0.91 |
+2.96
|
| 42 |
14\42 |
400.00 |
+0.91 |
+3.18
|
| 45 |
15\45 |
400.00 |
+0.91 |
+3.41
|
| 48 |
16\48 |
400.00 |
+0.91 |
+3.64
|
| 51 |
17\51 |
400.00 |
+0.91 |
+3.87
|
| 54 |
18\54 |
400.00 |
+0.91 |
+4.09
|
| 57 |
19\57 |
400.00 |
+0.91 |
+4.32
|
| 60 |
20\60 |
400.00 |
+0.91 |
+4.55
|
| 63 |
21\63 |
400.00 |
+0.91 |
+4.78
|
| 66 |
22\66 |
400.00 |
+0.91 |
+5.00
|
| 69 |
23\69 |
400.00 |
+0.91 |
+5.23
|
| 72 |
24\72 |
400.00 |
+0.91 |
+5.46
|
| 75 |
25\75 |
400.00 |
+0.91 |
+5.68
|
| 78 |
26\78 |
400.00 |
+0.91 |
+5.91
|
See also