75/56: Difference between revisions

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-'''75/56'''
+{{Infobox Interval
-|-3 1 2 -1&gt;
+| Icon =
+| Ratio = 75/56
+| Monzo = -3 1 2 -1
+| Cents = 505.75652
+| Name = marvelous fourth
+| Color name = ryy3, ruyoyo 3rd
+| Sound = jid_75_56_pluck_adu_dr220.mp3
+}}
-.7565 cents
+'''75/56''', the '''marvelous fourth''' (505.8¢), is [[225/224]] (7.7¢) sharp of the just fourth [[4/3]]. It often arises in just intonation scales. Tempering out 225/224 from the scale can be used to make it much less sharp, but it is usable as it is, being only half a cent sharp of the [[19edo]] fourth of 8\19. Considered as a [[meantone]] fourth, it is approximately 5/14-comma meantone.
-[[File:jid_75_56_pluck_adu_dr220.mp3]] [[:File:jid_75_56_pluck_adu_dr220.mp3|sound sample]]
+== See also ==
+* [[112/75]] - its [[octave complement]]
+* [[Gallery of just intervals]]
-/56, the marvelous fourth (505.8¢), is 225/224 (7.7¢) sharp of the just fourth [[4/3|4/3]]. It often arises in just intonation scales. Tempering out 225/224 from the scale can be used to make it much less sharp, but it is usable as it is, being only half a cent sharp of the [[19edo|19edo]] fourth of 8\19. Considered as a [[Meantone|meantone]] fourth, it is approximately 5/14-comma meantone.
+[[Category:7-limit]]
+[[Category:Interval]]
+[[Category:Just interval]]
+[[Category:Ratio]]
+[[Category:Sound example]]
+[[Category:Fourth]]