27/22: Difference between revisions

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{{Infobox Interval

~~| Icon =~~

| Name = rastmic neutral third, Alpharabian tendoneutral third

~~| Ratio = 27/22~~

~~| Monzo = -1 3 0 0 -1~~

~~| Cents = 354.54706~~

| Name = rastmic neutral third

| Color name = 1u3, lu 3rd

| Sound = jid_27_22_pluck_adu_dr220.mp3

}}

'''27/22''' the '''rastmic neutral third''' is 243/242 (7.1 ~~cents~~) 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.

'''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]]

* [[Gallery of just intervals]]

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

[[Category:Third]]

~~[[Category:Interval]]~~

~~[[Category:Just interval~~]]

[[Category:Neutral third]]

[[Category:~~Ratio~~]]

[[Category:Rastmic]]

[[Category:~~Third~~]]

[[Category:Alpharabian]]

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 {{Infobox Interval
-| Icon =
+| Name = rastmic neutral third, Alpharabian tendoneutral third
-| Ratio = 27/22
-| Monzo = -1 3 0 0 -1
-| Cents = 354.54706
-| Name = rastmic neutral third
 | Color name = 1u3, lu 3rd
 | Sound = jid_27_22_pluck_adu_dr220.mp3
 }}
-'''27/22''' the '''rastmic neutral third''' is 243/242 (7.1 cents) 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.
+'''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]]
-* [[Gallery of just intervals]]
-[[Category:11-limit]]
+[[Category:Third]]
-[[Category:Interval]]
-[[Category:Just interval]]
 [[Category:Neutral third]]
-[[Category:Ratio]]
+[[Category:Rastmic]]
-[[Category:Third]]
+[[Category:Alpharabian]]