7ed11/5
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Prime factorization
7 (prime)
Step size
195.001¢
Octave
6\7ed11/5 (1170¢)
(semiconvergent)
Twelfth
10\7ed11/5 (1950.01¢)
Consistency limit
3
Distinct consistency limit
2
 |
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| ← 6ed11/5 | 7ed11/5 | 8ed11/5 → |
(semiconvergent)
7 equal divisions of 11/5 (abbreviated 7ed11/5) is a nonoctave tuning system that divides the interval of 11/5 into 7 equal parts of about 195 ¢ each. Each step represents a frequency ratio of (11/5)1/7, or the 7th root of 11/5. It is vaguely equivalent to 6edo.
Intervals
| # | Cents | Approximate ratios |
|---|---|---|
| 0 | 0.0 | 1/1 |
| 1 | 195.0 | 10/9, 19/17, 28/25 |
| 2 | 390.0 | 5/4 |
| 3 | 585.0 | 7/5, 45/32 |
| 4 | 780.0 | 11/7, 25/16, 36/23 |
| 5 | 975.0 | 7/4, 127/72 |
| 6 | 1170.0 | 2/1, 49/25, 160/81 |
| 7 | 1365.0 | 11/5 |
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -30.0 | +48.1 | -60.0 | -56.3 | +18.1 | -53.8 | -90.0 | +96.1 | -86.3 | -56.3 | -11.9 |
| Relative (%) | -15.4 | +24.6 | -30.8 | -28.9 | +9.3 | -27.6 | -46.1 | +49.3 | -44.3 | -28.9 | -6.1 | |
| Steps (reduced) |
6 (6) |
10 (3) |
12 (5) |
14 (0) |
16 (2) |
17 (3) |
18 (4) |
20 (6) |
20 (6) |
21 (0) |
22 (1) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +44.5 | -83.8 | -8.3 | +75.0 | -29.9 | +66.1 | -27.5 | +78.7 | -5.8 | -86.3 | +31.7 |
| Relative (%) | +22.8 | -43.0 | -4.2 | +38.5 | -15.4 | +33.9 | -14.1 | +40.4 | -3.0 | -44.3 | +16.3 | |
| Steps (reduced) |
23 (2) |
23 (2) |
24 (3) |
25 (4) |
25 (4) |
26 (5) |
26 (5) |
27 (6) |
27 (6) |
27 (6) |
28 (0) | |