23/17: Difference between revisions
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'''23/17''', the '''vicesimotertial acute fourth''', is a [[23-limit]] interval. It is sharp of the [[4/3|perfect fourth (4/3)]] by [[69/68]], and sharp of the [[27/20|classical acute fourth (27/20)]] by [[460/459]]. | '''23/17''', the '''vicesimotertial acute fourth''', is a [[23-limit]] interval. It is sharp of the [[4/3|perfect fourth (4/3)]] by [[69/68]], and sharp of the [[27/20|classical acute fourth (27/20)]] by [[460/459]]. | ||
== Approximation == | == Approximation == | ||
{{Interval edo approximation|23/17}} | |||
== See also == | == See also == | ||
* [[34/23]] – its [[octave complement]] | * [[34/23]] – its [[octave complement]] | ||
Latest revision as of 13:07, 3 November 2025
| Interval information |
[sound info]
23/17, the vicesimotertial acute fourth, is a 23-limit interval. It is sharp of the perfect fourth (4/3) by 69/68, and sharp of the classical acute fourth (27/20) by 460/459.
Approximation
| Edo | Step size | Cents (¢) | Absolute error (¢) | Relative error (%) |
|---|---|---|---|---|
| 7 | 3\7 | 514.29 | -9.03 | -5.27 |
| 9 | 4\9 | 533.33 | +10.01 | +7.51 |
| 16 | 7\16 | 525.00 | +1.68 | +2.24 |
| 23 | 10\23 | 521.74 | -1.58 | -3.03 |
| 25 | 11\25 | 528.00 | +4.68 | +9.75 |
| 30 | 13\30 | 520.00 | -3.32 | -8.30 |
| 32 | 14\32 | 525.00 | +1.68 | +4.48 |
| 39 | 17\39 | 523.08 | -0.24 | -0.79 |
| 46 | 20\46 | 521.74 | -1.58 | -6.06 |
| 48 | 21\48 | 525.00 | +1.68 | +6.72 |
| 55 | 24\55 | 523.64 | +0.32 | +1.45 |
| 62 | 27\62 | 522.58 | -0.74 | -3.81 |
| 64 | 28\64 | 525.00 | +1.68 | +8.97 |
| 69 | 30\69 | 521.74 | -1.58 | -9.08 |
| 71 | 31\71 | 523.94 | +0.62 | +3.70 |
| 78 | 34\78 | 523.08 | -0.24 | -1.57 |