23/16: Difference between revisions
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'''23/16''' is the [[Octave reduction|octave-reduced]] 23rd [[harmonic]] and is often referred to as a '''vicesimotertial wide tritone'''. It is very close to [[21edo]]'s 628.57143 cent interval. | '''23/16''' is the [[Octave reduction|octave-reduced]] 23rd [[harmonic]] and is often referred to as a '''vicesimotertial wide tritone'''. It is very close to [[21edo]]'s 628.57143 cent interval. | ||
== Approximation == | == Approximation == | ||
{{Interval edo approximation|23/16}} | |||
== See also == | == See also == | ||
* [[32/23]] – its [[octave complement]] | * [[32/23]] – its [[octave complement]] | ||
Latest revision as of 13:14, 3 November 2025
| Interval information |
vicesimotertial wide tritone
reduced harmonic
[sound info]
23/16 is the octave-reduced 23rd harmonic and is often referred to as a vicesimotertial wide tritone. It is very close to 21edo's 628.57143 cent interval.
Approximation
| Edo | Step size | Cents (¢) | Absolute error (¢) | Relative error (%) |
|---|---|---|---|---|
| 2 | 1\2 | 600.00 | -28.27 | -4.71 |
| 4 | 2\4 | 600.00 | -28.27 | -9.42 |
| 17 | 9\17 | 635.29 | +7.02 | +9.94 |
| 19 | 10\19 | 631.58 | +3.30 | +5.23 |
| 21 | 11\21 | 628.57 | +0.30 | +0.52 |
| 23 | 12\23 | 626.09 | -2.19 | -4.19 |
| 25 | 13\25 | 624.00 | -4.27 | -8.90 |
| 40 | 21\40 | 630.00 | +1.73 | +5.75 |
| 42 | 22\42 | 628.57 | +0.30 | +1.04 |
| 44 | 23\44 | 627.27 | -1.00 | -3.67 |
| 46 | 24\46 | 626.09 | -2.19 | -8.38 |
| 61 | 32\61 | 629.51 | +1.23 | +6.27 |
| 63 | 33\63 | 628.57 | +0.30 | +1.56 |
| 65 | 34\65 | 627.69 | -0.58 | -3.15 |
| 67 | 35\67 | 626.87 | -1.41 | -7.87 |
See also
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