8ed5/3
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Prime factorization
23
Step size
110.545¢
Octave
11\8ed5/3 (1215.99¢)
(semiconvergent)
Twelfth
17\8ed5/3 (1879.26¢)
Consistency limit
6
Distinct consistency limit
3
| ← 7ed5/3 | 8ed5/3 | 9ed5/3 → |
(semiconvergent)
8ed5/3 is the equal division of the just major sixth into seven parts of 110.545 cents each, corresponding to 10.8553 edo.
Intervals
| Step | Cents | 7-limit interval |
|---|---|---|
| 0 | 0 | 1/1 |
| 1 | 110.545 | 16/15 |
| 2 | 221.09 | 8/7 |
| 3 | 331.635 | 6/5 |
| 4 | 442.18 | 9/7 |
| 5 | 552.724 | 11/8 |
| 6 | 663.269 | 22/15 |
| 7 | 773.814 | 25/16 |
| 8 | 884.359 | 5/3 |
| 9 | 994.904 | 16/9 |
| 10 | 1105.449 | 40/21 |
| 11 | 1215.994 | 2/1 |
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +16.0 | -22.7 | +32.0 | -22.7 | -6.7 | -52.5 | +48.0 | -45.4 | -6.7 | +49.4 | +9.3 |
| Relative (%) | +14.5 | -20.5 | +28.9 | -20.5 | -6.1 | -47.5 | +43.4 | -41.1 | -6.1 | +44.7 | +8.4 | |
| Steps (reduced) |
11 (3) |
17 (1) |
22 (6) |
25 (1) |
28 (4) |
30 (6) |
33 (1) |
34 (2) |
36 (4) |
38 (6) |
39 (7) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -18.7 | -36.5 | -45.4 | -46.6 | -41.0 | -29.4 | -12.5 | +9.3 | +35.4 | -45.2 | -11.6 |
| Relative (%) | -16.9 | -33.0 | -41.1 | -42.1 | -37.1 | -26.6 | -11.3 | +8.4 | +32.0 | -40.9 | -10.5 | |
| Steps (reduced) |
40 (0) |
41 (1) |
42 (2) |
43 (3) |
44 (4) |
45 (5) |
46 (6) |
47 (7) |
48 (0) |
48 (0) |
49 (1) | |