117/88: Difference between revisions

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 {{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
 | 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 ==
+* [[176/117]] – its [[octave complement]]
+* [[44/39]] – its [[fifth complement]]
 * [[Gallery of just intervals]]
-[[Category:13-limit]]
-[[Category:Interval ratio]]
-[[Category:Gentle]]
 [[Category:Fourth]]
-[[Category:Listen]]
+[[Category:Major minthmic]]
-[[Category:Todo:improve synopsis]]
-[[Category:Todo:expand]]