6ed5/2
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Prime factorization
2 × 3
Step size
264.386¢
Octave
5\6ed5/2 (1321.93¢)
Twelfth
7\6ed5/2 (1850.7¢)
(semiconvergent)
Consistency limit
2
Distinct consistency limit
2
Special properties
 |
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| ← 5ed5/2 | 6ed5/2 | 7ed5/2 → |
(semiconvergent)
6 equal divisions of 5/2 (abbreviated 6ed5/2) is a nonoctave tuning system that divides the interval of 5/2 into 6 equal parts of about 264 ¢ each. Each step represents a frequency ratio of (5/2)1/6, or the 6th root of 5/2.
Intervals
| Steps | Cents | Approximate Ratios |
|---|---|---|
| 0 | 0 | 1/1 |
| 1 | 264.386 | 6/5, 7/6, 13/11, 15/13, 17/15 |
| 2 | 528.771 | 7/5, 15/11, 18/13 |
| 3 | 793.157 | 11/7, 17/11, 18/11, 21/13 |
| 4 | 1057.542 | 11/6, 13/7 |
| 5 | 1321.928 | 11/5, 13/6, 15/7, 19/9 |
| 6 | 1586.314 | 5/2, 17/7, 18/7 |
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +122 | -51 | -21 | +122 | +71 | +68 | +101 | -103 | -21 | +79 | -72 |
| Relative (%) | +46.1 | -19.4 | -7.8 | +46.1 | +26.7 | +25.8 | +38.4 | -38.8 | -7.8 | +29.8 | -27.2 | |
| Steps (reduced) |
5 (5) |
7 (1) |
9 (3) |
11 (5) |
12 (0) |
13 (1) |
14 (2) |
14 (2) |
15 (3) |
16 (4) |
16 (4) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +54 | -74 | +71 | -41 | +118 | +19 | -74 | +101 | +17 | -64 | +124 |
| Relative (%) | +20.4 | -28.1 | +26.7 | -15.5 | +44.8 | +7.3 | -28.1 | +38.4 | +6.4 | -24.1 | +46.8 | |
| Steps (reduced) |
17 (5) |
17 (5) |
18 (0) |
18 (0) |
19 (1) |
19 (1) |
19 (1) |
20 (2) |
20 (2) |
20 (2) |
21 (3) | |