23/22: Difference between revisions
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Created page with "{{Infobox Interval | Icon = | Ratio = 23/22 | Monzo = 3 1 0 0 0 0 0 0 -1 | Cents = {{subst:cents|23/22|5}} | Name = greater vicesimotertial semitone | Color name = 23o1u2, tw..." |
m Text replacement - " {{Interval_Edo_Approximation | " to "{{Interval edo approximation|" |
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{{Infobox Interval | {{Infobox Interval | ||
| Name = greater vicesimotertial semitone | | Name = greater vicesimotertial semitone | ||
| Color name = 23o1u2, | | Color name = 23o1u2, twetholu 2nd | ||
| Sound = Ji-23-22-csound-foscil-220hz.mp3 | | Sound = Ji-23-22-csound-foscil-220hz.mp3 | ||
| Comma = yes | |||
}} | }} | ||
'''23/22''', the '''greater vicesimotertial semitone''', is a [[23-limit]] interval. It is the first [[superparticular]] interval that is [[mapped interval|mapped]] to 0 steps in [[12edo]], which means it is treated as a [[comma]], although it is more than half the size of a 12edo [[semitone (interval size measure)|semitone]]. | |||
== Approximation == | |||
{{Interval edo approximation|23/22}} | |||
== See also == | |||
* [[24/23]] – the lesser vicesimotertial semitone | |||
* [[Gallery of just intervals]] | |||
[[Category: | [[Category:Second]] | ||
[[Category:Semitone]] | [[Category:Semitone]] | ||
[[Category: | [[Category:Commas named after their interval size]] | ||
{{Todo|expand}} | |||
Latest revision as of 13:08, 3 November 2025
| Interval information |
reduced
[sound info]
23/22, the greater vicesimotertial semitone, is a 23-limit interval. It is the first superparticular interval that is mapped to 0 steps in 12edo, which means it is treated as a comma, although it is more than half the size of a 12edo semitone.
Approximation
| Edo | Step size | Cents (¢) | Absolute error (¢) | Relative error (%) |
|---|---|---|---|---|
| 15 | 1\15 | 80.00 | +3.04 | +3.80 |
| 16 | 1\16 | 75.00 | -1.96 | -2.61 |
| 17 | 1\17 | 70.59 | -6.37 | -9.02 |
| 30 | 2\30 | 80.00 | +3.04 | +7.61 |
| 31 | 2\31 | 77.42 | +0.46 | +1.20 |
| 32 | 2\32 | 75.00 | -1.96 | -5.22 |
| 46 | 3\46 | 78.26 | +1.30 | +5.00 |
| 47 | 3\47 | 76.60 | -0.36 | -1.41 |
| 48 | 3\48 | 75.00 | -1.96 | -7.83 |
| 61 | 4\61 | 78.69 | +1.73 | +8.80 |
| 62 | 4\62 | 77.42 | +0.46 | +2.39 |
| 63 | 4\63 | 76.19 | -0.77 | -4.02 |
| 77 | 5\77 | 77.92 | +0.97 | +6.20 |
| 78 | 5\78 | 76.92 | -0.03 | -0.22 |
| 79 | 5\79 | 75.95 | -1.01 | -6.63 |
See also
- 24/23 – the lesser vicesimotertial semitone
- Gallery of just intervals