14ed11/5
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Prime factorization
2 × 7
Step size
97.5003¢
Octave
12\14ed11/5 (1170¢) (→6\7ed11/5)
Twelfth
20\14ed11/5 (1950.01¢) (→10\7ed11/5)
Consistency limit
2
Distinct consistency limit
2
| ← 13ed11/5 | 14ed11/5 | 15ed11/5 → |
14ed11/5 is the equal division of the neutral ninth into 14 parts of 97.5 cents each, making it very nearly 97.5cET. It is very roughly equivalent to 12edo with ~30 cents compressed octave. 14ed11/5 is a good tuning for the no-twos-or-threes 13-limit, tempering out the commas 847/845 and 637/625, and containing a close approximation for 13/7.
Intervals
| # | Cents | Approximate ratios |
|---|---|---|
| 0 | 0.0 | 1/1 |
| 1 | 97.5 | 16/15, 17/16 21/20 |
| 2 | 195.0 | 10/9, 19/17, 28/25 |
| 3 | 292.5 | 13/11, 32/27, 6/5 |
| 4 | 390.0 | 5/4 |
| 5 | 487.5 | 4/3, 33/25 |
| 6 | 585.0 | 7/5, 45/32 |
| 7 | 682.5 | 3/2, 40/27 |
| 8 | 780.0 | 11/7, 25/16, 36/23 |
| 9 | 877.5 | 5/3 |
| 10 | 975.0 | 7/4, 127/72 |
| 11 | 1072.5 | 13/7, 28/15, 15/8 |
| 12 | 1170.0 | 2/1, 49/25, 160/81 |
| 13 | 1267.5 | 27/13 |
| 14 | 1365.0 | 11/5 |
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -30.0 | +48.1 | +37.5 | +41.2 | +18.1 | +43.7 | +7.5 | -1.4 | +11.2 | +41.2 | -11.9 |
| Relative (%) | -30.8 | +49.3 | +38.5 | +42.3 | +18.5 | +44.8 | +7.7 | -1.4 | +11.5 | +42.3 | -12.2 | |
| Steps (reduced) |
12 (12) |
20 (6) |
25 (11) |
29 (1) |
32 (4) |
35 (7) |
37 (9) |
39 (11) |
41 (13) |
43 (1) |
44 (2) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +44.5 | +13.7 | -8.3 | -22.5 | -29.9 | -31.4 | -27.5 | -18.8 | -5.8 | +11.2 | +31.7 |
| Relative (%) | +45.6 | +14.0 | -8.5 | -23.1 | -30.7 | -32.2 | -28.2 | -19.3 | -5.9 | +11.5 | +32.6 | |
| Steps (reduced) |
46 (4) |
47 (5) |
48 (6) |
49 (7) |
50 (8) |
51 (9) |
52 (10) |
53 (11) |
54 (12) |
55 (13) |
56 (0) | |