19ed11/9
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Prime factorization
19 (prime)
Step size
18.2846¢
Octave
66\19ed11/9 (1206.79¢)
Twelfth
104\19ed11/9 (1901.6¢)
(convergent)
Consistency limit
3
Distinct consistency limit
2
| ← 18ed11/9 | 19ed11/9 | 20ed11/9 → |
(convergent)
19 equal divisions of 11/9 (abbreviated 19ed11/9) is a nonoctave tuning system that divides the interval of 11/9 into 19 equal parts of about 18.3 ¢ each. Each step represents a frequency ratio of (11/9)1/19, or the 19th root of 11/9.
Theory
This tuning tempers out 81/80 in the 5-limit; 49/48 in the 7-limit; and 121/120 in the 11-limit.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +6.79 | -0.35 | -4.71 | -7.05 | +6.43 | -4.45 | +2.07 | -0.71 | -0.26 | -0.71 | -5.07 |
| Relative (%) | +37.1 | -1.9 | -25.8 | -38.6 | +35.2 | -24.4 | +11.3 | -3.9 | -1.4 | -3.9 | -27.7 | |
| Steps (reduced) |
66 (9) |
104 (9) |
131 (17) |
152 (0) |
170 (18) |
184 (13) |
197 (7) |
208 (18) |
218 (9) |
227 (18) |
235 (7) | |
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