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

}}

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 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<sup>[according to what?]</sup> means that it has a different function in terms of voice-leading.

== 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. If it is used as a generator, it produces [[Hanson]].

== See also ==

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Name = Pythagorean augmented second
+| Name = Pythagorean augmented second, Evadairean comma
 | 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 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<sup>[according to what?]</sup> means that it has a different function in terms of voice-leading.
+== 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. If it is used as a generator, it produces [[Hanson]].
 == See also ==