26/15
26/15, the tridecimal semitwelfth, is a 13-limit interseptimal interval measuring about 952 ¢. Two 26/15's exceed the tritave by 676/675.
| Interval information |
[sound info]
Approximation
| Edo | Step size | Cents (¢) | Absolute error (¢) | Relative error (%) |
|---|---|---|---|---|
| 5 | 4\5 | 960.00 | +7.74 | +3.23 |
| 10 | 8\10 | 960.00 | +7.74 | +6.45 |
| 15 | 12\15 | 960.00 | +7.74 | +9.68 |
| 19 | 15\19 | 947.37 | -4.89 | -7.74 |
| 24 | 19\24 | 950.00 | -2.26 | -4.52 |
| 29 | 23\29 | 951.72 | -0.53 | -1.29 |
| 34 | 27\34 | 952.94 | +0.68 | +1.93 |
| 39 | 31\39 | 953.85 | +1.59 | +5.16 |
| 44 | 35\44 | 954.55 | +2.29 | +8.38 |
| 48 | 38\48 | 950.00 | -2.26 | -9.04 |
| 53 | 42\53 | 950.94 | -1.32 | -5.81 |
| 58 | 46\58 | 951.72 | -0.53 | -2.58 |
| 63 | 50\63 | 952.38 | +0.12 | +0.64 |
| 68 | 54\68 | 952.94 | +0.68 | +3.87 |
| 73 | 58\73 | 953.42 | +1.17 | +7.09 |
Trivia
This ratio is the difference between two relatively common record speeds (78rpm and 45rpm). As such, if a 78 is played at 45rpm, the pitch is lowered by this interval.
See also
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