6ed11/5
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Prime factorization
2 × 3
Step size
227.501¢
Octave
5\6ed11/5 (1137.5¢)
(semiconvergent)
Twelfth
8\6ed11/5 (1820.01¢) (→4\3ed11/5)
Consistency limit
3
Distinct consistency limit
2
Special properties
| ← 5ed11/5 | 6ed11/5 | 7ed11/5 → |
(semiconvergent)
6 equal divisions of 11/5 (abbreviated 6ed11/5) is a nonoctave tuning system that divides the interval of 11/5 into 6 equal parts of about 228 ¢ each. Each step represents a frequency ratio of (11/5)1/6, or the 6th root of 11/5.
Intervals
| # | Cents | Approximate ratios |
|---|---|---|
| 0 | 0.0 | 1/1 |
| 1 | 227.5 | 8/7 17/15 |
| 2 | 455.0 | 9/7, 13/10, 35/27 |
| 3 | 682.5 | 3/2, 40/27 |
| 4 | 910.0 | 27/16, 22/13 |
| 5 | 1137.5 | 27/14, 48/25, 31/16 |
| 6 | 1365.0 | 11/5 |
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -62.5 | -81.9 | +102.5 | -56.3 | +83.1 | +43.7 | +40.0 | +63.6 | +108.7 | -56.3 | +20.6 |
| Relative (%) | -27.5 | -36.0 | +45.1 | -24.7 | +36.5 | +19.2 | +17.6 | +28.0 | +47.8 | -24.7 | +9.0 | |
| Steps (reduced) |
5 (5) |
8 (2) |
11 (5) |
12 (0) |
14 (2) |
15 (3) |
16 (4) |
17 (5) |
18 (0) |
18 (0) |
19 (1) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +109.5 | -18.8 | +89.2 | -22.5 | +100.1 | +1.1 | -92.5 | +46.2 | -38.3 | +108.7 | +31.7 |
| Relative (%) | +48.1 | -8.3 | +39.2 | -9.9 | +44.0 | +0.5 | -40.7 | +20.3 | -16.8 | +47.8 | +14.0 | |
| Steps (reduced) |
20 (2) |
20 (2) |
21 (3) |
21 (3) |
22 (4) |
22 (4) |
22 (4) |
23 (5) |
23 (5) |
24 (0) |
24 (0) | |