117/88: Difference between revisions

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Created page with "{{Infobox Interval | Icon = | Ratio = 117/88 | Monzo = -3, 2, 0, 0, -1, 1 | Cents = 493.11972 | Name = tridecimal gentle fourth | Color name = 3o1u4, tholu 4th | Sound = Ji-1..."
 
Address a name change and +necessary terminology
 
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{{Infobox Interval
{{Infobox Interval
| Icon =
| Name = major minthmic fourth
| Ratio = 117/88
| Monzo = -3, 2, 0, 0, -1, 1
| Cents = 493.11972
| Name = tridecimal gentle fourth
| Color name = 3o1u4, tholu 4th
| Color name = 3o1u4, tholu 4th
| Sound = Ji-117-88-csound-foscil-220hz.mp3
| Sound = Ji-117-88-csound-foscil-220hz.mp3
}}
}}


'''117/88''' or '''tridecimal gentle fourth''' 493 [[cent]]s.
'''117/88''' is the '''major minthmic fourth''', a [[13-limit]] [[ratio]] with a value of 493 [[cent]]s. It is [[352/351]] against the just perfect fourth of [[4/3]]. It arises in 13-limit [[just intonation]] by stacking [[13/11]] and [[9/8]], or by lowering [[13/8]] by [[11/9]].
 
Note that ''major minthmic'' modifies ''fourth'' and that ''major minthmic'' is the name of the temperament that tempers out 352/351. ''Major'' does not specify the size of the interval here.  


== See also ==
== See also ==
 
* [[176/117]] – its [[octave complement]]
* [[44/39]] – its [[fifth complement]]
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]


[[Category:13-limit]]
[[Category:Interval ratio]]
[[Category:Gentle]]
[[Category:Fourth]]
[[Category:Fourth]]
[[Category:Listen]]
[[Category:Major minthmic]]
 
[[Category:Todo:improve synopsis]]
[[Category:Todo:expand]]