242/225: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Icon =
| Ratio = 242/225
| Ratio = 242/225
| Monzo = 1 -2 -2 0 2
| Monzo = 1 -2 -2 0 2
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| Sound = Ji-242-225-csound-foscil-220hz.mp3
| Sound = Ji-242-225-csound-foscil-220hz.mp3
}}
}}
 
'''242/225''', the interval between [[22/15]] and [[15/11]], is about 126 [[cent]]s in size and may be called '''doubly undecimal-diminished second''': the amount by which the relating fourth is augmented (4/3*45/44=15/11) and the fifth is diminished (3/2*44/45=22/15) is applied twice to the classic major second (9/8*44/45*44/45=242/225).
'''242/225''', the interval between [[22/15]] and [[15/11]], is about 126 [[cent]]s in size and may be called '''doubly undecimal-diminished second''': the amount by which the relating forth is augmented (4/3*45/44=15/11) and the fifth is diminished (3/2*44/45=22/15) is applied twice to the classic major second (9/8*44/45*44/45=242/225).


== See also ==
== See also ==
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]
* [[9/8]] – classic tone
* [[9/8]] – classic tone
* [[45/44]] – undecimal 1/5-tone (which sounds to me like an "undecimal chroma" in analogy to [[25/24]])
* [[45/44]] – undecimal 1/5-tone (which sounds to me like an "undecimal chroma" in analogy to [[25/24]])


[[Category:11-limit]]
[[Category:11-limit]]
[[Category:Interval ratio]]
[[Category:Second]]
[[Category:Second]]
[[Category:Semitone]]
[[Category:Semitone]]
[[Category:Todo:expand]]
 
[[Category:Todo:review]]
{{todo|expand|review|add color name}}

Revision as of 13:07, 22 March 2022

Interval information
Ratio 242/225
Factorization 2 × 3-2 × 5-2 × 112
Monzo [1 -2 -2 0 2
Size in cents 126.0985¢
Name doubly undecimal-diminished second (?)
FJS name [math]\displaystyle{ \text{d2}^{11,11}_{5,5} }[/math]
Special properties reduced
Tenney height (log2 nd) 15.7326
Weil height (log2 max(n, d)) 15.8377
Wilson height (sopfr(nd)) 40

[sound info]
Open this interval in xen-calc

242/225, the interval between 22/15 and 15/11, is about 126 cents in size and may be called doubly undecimal-diminished second: the amount by which the relating fourth is augmented (4/3*45/44=15/11) and the fifth is diminished (3/2*44/45=22/15) is applied twice to the classic major second (9/8*44/45*44/45=242/225).

See also