19ed11/5
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Prime factorization
19 (prime)
Step size
71.8423¢
Octave
17\19ed11/5 (1221.32¢)
Twelfth
26\19ed11/5 (1867.9¢)
Consistency limit
2
Distinct consistency limit
2
| ← 18ed11/5 | 19ed11/5 | 20ed11/5 → |
19ed11/5 fails to produce acceptable approximations of any small harmonics. However, it does approximate harmonics 7, 8 and 9 very well.
19ed11/5 tempers out the septimal comma, 64/63.
Using 3 steps of 19ed11/5 (215.527 cents) as a generator, and 47 steps of 19ed11/5 (3376.589) as a period, you get the 7.8.9 regular temperament with the lowest badness using x31eq's default parameters, Sixscared.
You could, then, approach 19ed11/5 as a Sixscared[47] scale.
Sixscared doesn't have any useful small MOS scales, so a more viable approach to composing with 19ed11/5 may be to use a MODMOS of Sixscared[5], [6], [7] or [8]. Another approach might be to use a small subset of tones from Sixscared[15] or [16].
Integer harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | absolute (¢) | +21.3 | -34.1 | -29.2 | +15.5 | -12.7 | +7.8 | -7.9 | +3.7 | -35.0 | +15.5 | +8.6 | +13.7 | +29.1 | -18.5 |
| relative (%) | +30 | -47 | -41 | +22 | -18 | +11 | -11 | +5 | -49 | +22 | +12 | +19 | +40 | -26 | |
| Steps (reduced) |
17 (17) |
26 (7) |
33 (14) |
39 (1) |
43 (5) |
47 (9) |
50 (12) |
53 (15) |
55 (17) |
58 (1) |
60 (3) |
62 (5) |
64 (7) |
65 (8) | |