19683/16384: Difference between revisions

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{{Infobox Interval

| Name = Pythagorean augmented second

| Name = Pythagorean augmented second, Evadairean comma

| Color name = ~~lw2~~, ~~Lawa~~ 2nd

| Color name = Lw2, lawa 2nd

}}

The '''Pythagorean augmented ~~2nd~~''', '''19683/16384''', may be reached by stacking 9 3/2's and octave reducing. It differs from the classic minor third, [[6/5]], by the [[schisma]], and, as a result, the Pythagorean augmented second is in fact rather consonant. ~~According~~ to [[~~User:Aura|Aura~~]], ~~while 19683/16384 may take~~ the ~~place of~~ the ~~classic minor third in chords,~~ its ~~status as a augmented second means that it has a different function in terms of voice~~-~~leading~~. If it ~~is tempered~~ out, ~~you set the~~ fifth ~~to 5/9 and divide the octave into 9 parts, although only 9edo does this in it's patent val~~. ~~If it is~~ used as a generator~~, it produces~~ [[~~Hanson~~]].

The '''Pythagorean augmented second''', '''19683/16384''', may be reached by stacking 9 3/2's and octave reducing. It differs from the classic minor third, [[6/5]], by the [[schisma]], and, as a result, the Pythagorean augmented second is in fact rather consonant and some may consider it a minor third (see [[Interval region]]).

== Temperaments ==

When this ratio is taken as a comma to be tempered out, it produces the [[tervenna]] temperament, and has been named the '''Evadairean comma''' (by analogy with the Pythagorean comma not sharing its name with compton temperament). Edos tempering it out include [[9edo]], as well as [[18edo]] if its flat fifth is used. It can be used as a generator for [[hanson]].

== See also ==

* [[32768/19683]] – its [[octave complement]]

* [[8192/6561]] – its [[fifth complement]]

* [[Gallery of just intervals]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Name = Pythagorean augmented second
+| Name = Pythagorean augmented second, Evadairean comma
-| Color name = lw2, Lawa 2nd
+| Color name = Lw2, lawa 2nd
 }}
-The '''Pythagorean augmented 2nd''', '''19683/16384''', may be reached by stacking 9 3/2's and octave reducing. It differs from the classic minor third, [[6/5]], by the [[schisma]], and, as a result, the Pythagorean augmented second is in fact rather consonant.  According to [[User:Aura|Aura]], while 19683/16384 may take the place of the classic minor third in chords, its status as a augmented second means that it has a different function in terms of voice-leading. If it is tempered out, you set the fifth to 5/9 and divide the octave into 9 parts, although only 9edo does this in it's patent val. If it is used as a generator, it produces [[Hanson]].
+The '''Pythagorean augmented second''', '''19683/16384''', may be reached by stacking 9 3/2's and octave reducing. It differs from the classic minor third, [[6/5]], by the [[schisma]], and, as a result, the Pythagorean augmented second is in fact rather consonant and some may consider it a minor third (see [[Interval region]]).
+== Temperaments ==
+When this ratio is taken as a comma to be tempered out, it produces the [[tervenna]] temperament, and has been named the '''Evadairean comma''' (by analogy with the Pythagorean comma not sharing its name with compton temperament)<!-- who is Evadairean? -->. Edos tempering it out include [[9edo]], as well as [[18edo]] if its flat fifth is used. It can be used as a generator for [[hanson]].
 == See also ==
+* [[32768/19683]] – its [[octave complement]]
 * [[8192/6561]] – its [[fifth complement]]
 * [[Gallery of just intervals]]