6ed6
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Prime factorization
2 × 3
Step size
516.993¢
Octave
2\6ed6 (1033.99¢) (→1\3ed6)
Twelfth
4\6ed6 (2067.97¢) (→2\3ed6)
Consistency limit
2
Distinct consistency limit
2
Special properties
| ← 5ed6 | 6ed6 | 7ed6 → |
6ED6 is the equal division of the sixth harmonic into six parts of 516.9925 cents each, corresponding to 2.3211 edo. It is related to the harry temperament, which tempers out 243/242, 441/440, and 4000/3993 in the 11-limit.
Intervals
| Steps | Cents | Approximate Ratios |
|---|---|---|
| 0 | 0 | 1/1 |
| 1 | 516.993 | 15/11, 18/13, 19/14 |
| 2 | 1033.985 | 11/6, 13/7 |
| 3 | 1550.978 | 5/2, 12/5 |
| 4 | 2067.97 | 17/5 |
| 5 | 2584.963 | 13/3 |
| 6 | 3101.955 | 6/1 |
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -166 | +166 | +185 | -201 | +0 | +250 | +19 | -185 | +150 | -15 | -166 |
| Relative (%) | -32.1 | +32.1 | +35.8 | -38.9 | +0.0 | +48.4 | +3.7 | -35.8 | +28.9 | -3.0 | -32.1 | |
| Steps (reduced) |
2 (2) |
4 (4) |
5 (5) |
5 (5) |
6 (0) |
7 (1) |
7 (1) |
7 (1) |
8 (2) |
8 (2) |
8 (2) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +212 | +84 | -35 | -147 | -252 | +166 | +72 | -16 | -101 | -181 | -258 |
| Relative (%) | +41.1 | +16.3 | -6.8 | -28.4 | -48.7 | +32.1 | +14.0 | -3.2 | -19.5 | -35.1 | -50.0 | |
| Steps (reduced) |
9 (3) |
9 (3) |
9 (3) |
9 (3) |
9 (3) |
10 (4) |
10 (4) |
10 (4) |
10 (4) |
10 (4) |
10 (4) | |