8192/6561: Difference between revisions

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{{Infobox Interval

~~| Icon =~~

~~| Ratio = 8192/6561~~

~~| Monzo = 13 -8~~

~~| Cents = 384.35999~~

| Name = Pythagorean diminished fourth

| Color name =

| Color name = sw4, sawa 4th

~~| FJS name =~~

~~| Sound =~~

}}

The '''Pythagorean diminished fourth''', '''8192/6561''', may be reached by subtracting two [[81/64]] intervals from the [[Octave|perfect octave]]. It ~~differs from~~ the classic major third, [[5/4]], by the [[schisma]], and, as a result, the Pythagorean diminished fourth is in fact rather consonant~~. According to~~ [[~~User:Aura|Aura~~]]~~, while 8192/6561 may take the place of the classic major third in chords, its status as a diminished fourth means that it has a different function in terms of voice-leading~~.

The '''Pythagorean diminished fourth''', '''8192/6561''', may be reached by subtracting two [[81/64]] intervals from the [[Octave|perfect octave]]. It is flat of the classic major third, [[5/4]], by the [[schisma]] (around 2 cents), and, as a result, the Pythagorean diminished fourth is in fact rather consonant and some may consider it a major third (see [[Interval region]]).

== See also ==

* [[6561/4096]] – its [[octave complement]]

* [[19683/16384]] – its [[fifth complement]]

* [[Gallery of just intervals]]

* [[Pythagorean tuning]]

[[Category:~~3-limit~~]]

[[Category:Fourth]]

[[Category:~~Interval~~]]

[[Category:Diminished fourth]]

[[Category:~~Ratio~~]]

[[Category:Third]]

[[Category:~~Pythagorean~~]]

[[Category:Major third]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Icon =
-| Ratio = 8192/6561
-| Monzo =  13 -8
-| Cents = 384.35999
 | Name = Pythagorean diminished fourth
-| Color name =
+| Color name = sw4, sawa 4th
-| FJS name =
-| Sound =
 }}
-The '''Pythagorean diminished fourth''', '''8192/6561''', may be reached by subtracting two [[81/64]] intervals from the [[Octave|perfect octave]].  It differs from the classic major third, [[5/4]], by the [[schisma]], and, as a result, the Pythagorean diminished fourth is in fact rather consonant.  According to [[User:Aura|Aura]], while 8192/6561 may take the place of the classic major third in chords, its status as a diminished fourth means that it has a different function in terms of voice-leading.
+The '''Pythagorean diminished fourth''', '''8192/6561''', may be reached by subtracting two [[81/64]] intervals from the [[Octave|perfect octave]].  It is flat of the classic major third, [[5/4]], by the [[schisma]] (around 2 cents), and, as a result, the Pythagorean diminished fourth is in fact rather consonant and some may consider it a major third (see [[Interval region]]).
 == See also ==
 * [[6561/4096]] – its [[octave complement]]
+* [[19683/16384]] – its [[fifth complement]]
 * [[Gallery of just intervals]]
 * [[Pythagorean tuning]]
-[[Category:3-limit]]
+[[Category:Fourth]]
-[[Category:Interval]]
+[[Category:Diminished fourth]]
-[[Category:Ratio]]
+[[Category:Third]]
-[[Category:Pythagorean]]
+[[Category:Major third]]