26/17
In 17-limit just intonation, 26/17 is the septendecimal superfifth. It differs from the 3/2 perfect fifth by the comma 52/51, about 33.6¢. Although this difference is considerable, 26/17 may be used as a wide perfect fifth, thus allowing septendecimal versions of root-3rd-P5 chords – in particular, 17:20:26, 17:21:26, 17:22:26.
| Interval information |
[sound info]
26/17 is the mediant of 3/2 and 23/15.
It is less than 0.2 cents sharp of 31edo's superfifth of 735.48¢ (19\31).
Approximation
| Edo | Step size | Cents (¢) | Absolute error (¢) | Relative error (%) |
|---|---|---|---|---|
| 5 | 3\5 | 720.00 | -15.57 | -6.49 |
| 8 | 5\8 | 750.00 | +14.43 | +9.62 |
| 13 | 8\13 | 738.46 | +2.89 | +3.13 |
| 18 | 11\18 | 733.33 | -2.24 | -3.36 |
| 23 | 14\23 | 730.43 | -5.14 | -9.85 |
| 26 | 16\26 | 738.46 | +2.89 | +6.26 |
| 31 | 19\31 | 735.48 | -0.09 | -0.23 |
| 36 | 22\36 | 733.33 | -2.24 | -6.72 |
| 39 | 24\39 | 738.46 | +2.89 | +9.39 |
| 44 | 27\44 | 736.36 | +0.79 | +2.90 |
| 49 | 30\49 | 734.69 | -0.88 | -3.59 |
| 57 | 35\57 | 736.84 | +1.27 | +6.03 |
| 62 | 38\62 | 735.48 | -0.09 | -0.46 |
| 67 | 41\67 | 734.33 | -1.24 | -6.95 |
| 70 | 43\70 | 737.14 | +1.57 | +9.16 |
| 75 | 46\75 | 736.00 | +0.43 | +2.67 |
| 80 | 49\80 | 735.00 | -0.57 | -3.82 |