27/16
The Pythagorean major sixth, 27/16, may be reached by stacking three perfect fifths (3/2) and reducing by one octave. Compared to the more typical 5/3 which is narrower by 81/80, this interval is more dissonant, with a harmonic entropy level roughly on par with that of 6/5.
| Interval information |
reduced harmonic
[sound info]
Approximation
| Edo | Step size | Cents (¢) | Absolute error (¢) | Relative error (%) |
|---|---|---|---|---|
| 4 | 3\4 | 900.00 | -5.87 | -1.96 |
| 8 | 6\8 | 900.00 | -5.87 | -3.91 |
| 12 | 9\12 | 900.00 | -5.87 | -5.87 |
| 16 | 12\16 | 900.00 | -5.87 | -7.82 |
| 20 | 15\20 | 900.00 | -5.87 | -9.78 |
| 33 | 25\33 | 909.09 | +3.23 | +8.87 |
| 37 | 28\37 | 908.11 | +2.24 | +6.92 |
| 41 | 31\41 | 907.32 | +1.45 | +4.96 |
| 45 | 34\45 | 906.67 | +0.80 | +3.01 |
| 49 | 37\49 | 906.12 | +0.26 | +1.05 |
| 53 | 40\53 | 905.66 | -0.20 | -0.90 |
| 57 | 43\57 | 905.26 | -0.60 | -2.86 |
| 61 | 46\61 | 904.92 | -0.95 | -4.81 |
| 65 | 49\65 | 904.62 | -1.25 | -6.77 |
| 69 | 52\69 | 904.35 | -1.52 | -8.72 |