40/21: Difference between revisions

@@ Line 1: / Line 1: @@
-'''40/21'''
+{{Infobox Interval
-|3 -1 1 -1&gt;
+| Name = septimal acute major seventh, small septimal diminished octave
+| Color name = ry7, ruyo 7th
+| Sound = jid_40_21_pluck_adu_dr220.mp3
+}}
-.5328 cents
+'''40/21''', the '''septimal acute major seventh''', is a [[7-limit]] interval measuring about 1115.5 cents.
-[[File:jid_40_21_pluck_adu_dr220.mp3]] [[:File:jid_40_21_pluck_adu_dr220.mp3|sound sample]]
+== Terminology ==
+Despite being approximated by the diminished octave in systems like [[septimal meantone]], and even being called the '''small septimal diminished octave''' by some musicians due to analogy with [[21/20]] being called the "large septimal chroma", 40/21 is a major seventh in just intonation notation systems such as [[Sagittal notation]], [[Helmholtz-Ellis notation]] and [[Functional Just System]], viewed as the [[243/128|Pythagorean major seventh (243/128)]] altered by [[5120/5103]].
+== Approximation ==
+{{Interval edo approximation|40/21}}
-[[category:interval]]
+== See also ==
-[[category:7-limit]]
+* [[21/20]] – its [[octave complement]]
-[[Category:todo:expand]]
+* [[Gallery of just intervals]]
+[[Category:Seventh]]
+[[Category:Major seventh]]