27/22: Difference between revisions

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~~'''27/22'''~~

{{Infobox Interval

|~~-1 3 0 0 -1>~~

| Name = rastmic neutral third, Alpharabian tendoneutral third

| Color name = 1u3, lu 3rd

| Sound = jid_27_22_pluck_adu_dr220.mp3

}}

~~354~~.~~5471 cents~~

'''27/22''', conventionally called the '''rastmic neutral third''', is [[243/242]] (7.1{{cent}}) sharp of [[11/9]], and together with 11/9 makes [[3/2]], so that we obtain the two neutral triads, 1-11/9-3/2 and 1-27/22-3/2, with intervals of 11/9 and 27/22. It is the interval between [[10/9]] and [[15/11]], and 11/9 and [[3/2]] and their inversions. As this is the larger of two [[11-limit]] neutral thirds obtained by modifying Pythagorean intervals by [[33/32]], it is dubbed the '''Alpharabian tendoneutral third''' in [[Alpharabian tuning]]. It is extremely close to [[44edo]]'s 13\44 neutral third, however the first multiple of 44edo to map it consistently is [[176edo]].

== Approximation ==

== See also ==

* [[24edo]]

* [[44/27]] – its [[octave complement]]

* [[11/9]] – its [[fifth complement]]

* [[Gallery of just intervals]]

* [[Iceface Tuning]]

~~[[File:jid_27_22_pluck_adu_dr220.mp3]] [[:File:jid_27_22_pluck_adu_dr220.mp3|sound sample]]~~

[[Category:Third]]

[[Category:Neutral third]]

'''27/22''' is 243/242 (7.1 cents) sharp of [[11/9|11/9]], and together with 11/9 makes [[3/2|3/2]], so that we obtain the two neutral triads, 1-11/9-3/2 and 1-27/22-3/2, with intervals of 11/9 and 27/22. It is the interval between [[10/9|10/9]] and [[15/11|15/11]] and 11/9 and [[3/2|3/2]] and their inversions.

[[Category:Rastmic]]

[[Category:~~11-limit~~]]

[[Category:Alpharabian]]

[[Category:~~interval~~]]

[[Category:~~just_interval~~]]

[[Category:~~neutral_3rd]]~~

~~[[Category:ratio]]~~

~~[[Category:third]]~~

~~[[Category:todo:expand~~]]

@@ Line 1: / Line 1: @@
-'''27/22'''
+{{Infobox Interval
-|-1 3 0 0 -1&gt;
+| Name = rastmic neutral third, Alpharabian tendoneutral third
+| Color name = 1u3, lu 3rd
+| Sound = jid_27_22_pluck_adu_dr220.mp3
+}}
-.5471 cents
+'''27/22''', conventionally called the '''rastmic neutral third''', is [[243/242]] (7.1{{cent}}) sharp of [[11/9]], and together with 11/9 makes [[3/2]], so that we obtain the two neutral triads, 1-11/9-3/2 and 1-27/22-3/2, with intervals of 11/9 and 27/22. It is the interval between [[10/9]] and [[15/11]], and 11/9 and [[3/2]] and their inversions.  As this is the larger of two [[11-limit]] neutral thirds obtained by modifying Pythagorean intervals by [[33/32]], it is dubbed the '''Alpharabian tendoneutral third''' in [[Alpharabian tuning]]. It is extremely close to [[44edo]]'s 13\44 neutral third, however the first multiple of 44edo to map it consistently is [[176edo]].
+== Approximation ==
+{{Interval edo approximation|27/22}}
+== See also ==
+* [[24edo]]
+* [[44/27]] – its [[octave complement]]
+* [[11/9]] – its [[fifth complement]]
+* [[Gallery of just intervals]]
+* [[Iceface Tuning]]
-[[File:jid_27_22_pluck_adu_dr220.mp3]] [[:File:jid_27_22_pluck_adu_dr220.mp3|sound sample]]
+[[Category:Third]]
+[[Category:Neutral third]]
-'''27/22''' is 243/242 (7.1 cents) sharp of [[11/9|11/9]], and together with 11/9 makes [[3/2|3/2]], so that we obtain the two neutral triads, 1-11/9-3/2 and 1-27/22-3/2, with intervals of 11/9 and 27/22. It is the interval between [[10/9|10/9]] and [[15/11|15/11]] and 11/9 and [[3/2|3/2]] and their inversions.
+[[Category:Rastmic]]
-[[Category:11-limit]]
+[[Category:Alpharabian]]
-[[Category:interval]]
-[[Category:just_interval]]
-[[Category:neutral_3rd]]
-[[Category:ratio]]
-[[Category:third]]
-[[Category:todo:expand]]