25/22: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = ptolemismic whole tone, undecimal acute whole tone | |||
| Color name = 1uyy2, luyoyo 2nd | |||
| Name = | |||
| Color name = | |||
| Sound = jid_25_22_pluck_adu_dr220.mp3 | | Sound = jid_25_22_pluck_adu_dr220.mp3 | ||
}} | }} | ||
'''25/22''', the ''' | '''25/22''', the '''ptolemismic whole tone''' or '''undecimal acute whole tone''', is an [[11-limit]] interval. It is sharp of [[9/8]], the Pythagorean whole tone, by [[100/99]], the ptolemisma, hence the name. It is also flat of [[8/7]], the septimal major second, by [[176/175]], the valinorsma. Another interval close to it but simpler is [[17/15]], from which it is separated by [[375/374]]. | ||
== Approximation == | |||
{{Interval edo approximation|25/22}} | |||
== See also == | == See also == | ||
* [[44/25]] – its [[octave complement]] | * [[44/25]] – its [[octave complement]] | ||
* [[33/25]] – its [[fifth complement]] | * [[33/25]] – its [[fifth complement]] | ||
* [[25/11]] – one octave higher | |||
* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
* [[:File:Ji-25-22-csound-foscil-220hz.mp3]] | * [[:File:Ji-25-22-csound-foscil-220hz.mp3]] | ||
[[Category:Second]] | [[Category:Second]] | ||
[[Category:Whole tone]] | [[Category:Whole tone]] | ||
[[Category:Ptolemismic]] | |||
Latest revision as of 13:15, 3 November 2025
| Interval information |
undecimal acute whole tone
[sound info]
25/22, the ptolemismic whole tone or undecimal acute whole tone, is an 11-limit interval. It is sharp of 9/8, the Pythagorean whole tone, by 100/99, the ptolemisma, hence the name. It is also flat of 8/7, the septimal major second, by 176/175, the valinorsma. Another interval close to it but simpler is 17/15, from which it is separated by 375/374.
Approximation
| Edo | Step size | Cents (¢) | Absolute error (¢) | Relative error (%) |
|---|---|---|---|---|
| 5 | 1\5 | 240.00 | +18.69 | +7.79 |
| 11 | 2\11 | 218.18 | -3.13 | -2.87 |
| 16 | 3\16 | 225.00 | +3.69 | +4.92 |
| 22 | 4\22 | 218.18 | -3.13 | -5.73 |
| 27 | 5\27 | 222.22 | +0.91 | +2.05 |
| 32 | 6\32 | 225.00 | +3.69 | +9.84 |
| 33 | 6\33 | 218.18 | -3.13 | -8.60 |
| 38 | 7\38 | 221.05 | -0.26 | -0.81 |
| 43 | 8\43 | 223.26 | +1.95 | +6.97 |
| 49 | 9\49 | 220.41 | -0.90 | -3.68 |
| 54 | 10\54 | 222.22 | +0.91 | +4.11 |
| 60 | 11\60 | 220.00 | -1.31 | -6.55 |
| 65 | 12\65 | 221.54 | +0.23 | +1.24 |
| 70 | 13\70 | 222.86 | +1.55 | +9.03 |
| 71 | 13\71 | 219.72 | -1.59 | -9.41 |
| 76 | 14\76 | 221.05 | -0.26 | -1.63 |
See also
- 44/25 – its octave complement
- 33/25 – its fifth complement
- 25/11 – one octave higher
- Gallery of just intervals
- File:Ji-25-22-csound-foscil-220hz.mp3