13ed11/5
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Prime factorization
13 (prime)
Step size
105¢
Octave
11\13ed11/5 (1155¢)
Twelfth
18\13ed11/5 (1890.01¢)
(semiconvergent)
Consistency limit
3
Distinct consistency limit
3
| ← 12ed11/5 | 13ed11/5 | 14ed11/5 → |
(semiconvergent)
For its size, 13ed11/5 has decent approximations of the 3rd and 4th harmonics, and a great approximation of the 7th harmonic.
It completely misses the 5th harmonic, however it nails the 10th harmonic almost exactly.
Given this, it could be approached as a 3.4.7 subgroup tuning, or even as a 3.4.7.10 tuning, which is quite the quirky combination.
When playing by ear, the 4/1 approximation, roughly 2415 cents, tends to sound like an equivalence or a tonal centre. This makes 13ed11/5 sound similar to 23ed4, or every second note of 46edo.
Integer harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | absolute (¢) | -45.0 | -11.9 | +15.0 | +48.7 | +48.1 | -8.8 | -30.0 | -23.9 | +3.7 | +48.7 | +3.1 | -30.5 | +51.2 | +36.7 | +30.0 | +30.1 |
| relative (%) | -43 | -11 | +14 | +46 | +46 | -8 | -29 | -23 | +4 | +46 | +3 | -29 | +49 | +35 | +29 | +29 | |
| Steps (reduced) |
11 (11) |
18 (5) |
23 (10) |
27 (1) |
30 (4) |
32 (6) |
34 (8) |
36 (10) |
38 (12) |
40 (1) |
41 (2) |
42 (3) |
44 (5) |
45 (6) |
46 (7) |
47 (8) | |