25/22: Difference between revisions

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This interval is ptolemismic
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'''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 separated from [[17/15]] by the comma [[375/374]].
'''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]].


== 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]]  

Latest revision as of 02:37, 21 April 2025

Interval information
Ratio 25/22
Factorization 2-1 × 52 × 11-1
Monzo [-1 0 2 0 -1
Size in cents 221.3095¢
Names ptolemismic whole tone,
undecimal acute whole tone
Color name 1uyy2, luyoyo 2nd
FJS name [math]\displaystyle{ \text{A2}^{5,5}_{11} }[/math]
Special properties reduced
Tenney height (log2 nd) 9.10329
Weil height (log2 max(n, d)) 9.28771
Wilson height (sopfr(nd)) 23

[sound info]
Open this interval in xen-calc

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.

See also