729/512: Difference between revisions

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{{Infobox Interval

~~| Icon =~~

| Name = (Pythagorean) tritone, Pythagorean augmented fourth, The Tyrant

~~| Ratio = 729/512~~

| Color name = Lw4, lawa 4th

~~| Monzo = -9 6~~

~~| Cents = 611.73001~~

| Name = Pythagorean tritone ~~<br>~~Pythagorean augmented fourth

| Color name = Lw4, ~~large wa~~ 4th

| Sound = Ji-729-512-csound-foscil-220hz.mp3

}}

'''729/512''', the '''Pythagorean augmented fourth''', may be reached by stacking six perfect fifths ([[3/2]]), and [[octave reduction|reducing by three octaves]]. While nowadays "tritone" more commonly refers to a broader range of intervals, in Medieval music theory, "tritone" referred more specifically to 729/512, as this is the interval reached by stacking three (Pythagorean whole) [[tone]]s ([[9/8]]). It is separated from the 5-limit interval of [[64/45]] by the schisma ([[32805/32768]]), less than 2{{cent}}.

~~The~~ '''~~Pythagorean augmented fourth~~''', '''~~729/512~~''', may be reached by stacking six perfect fifths ([[3/2]]), and reducing by three octaves. It is separated from the 5-limit interval of 64/45 by the schisma, [[32805/32768]] (less than 2 ~~cents)~~.

== See also ==

* [[1024/729]] - its [[~~inversion~~]]

* [[Tritone]]

* [[1024/729]] – its [[octave complement]]

* [[256/243]] – its [[fifth complement]]

* [[Pythagorean tuning]]

* [[Gallery of just intervals]]

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

~~[[Category:Interval ratio]]~~

[[Category:Tritone]]

~~[[Category:Pythagorean]]~~

~~[[Category:Listen]]~~

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Icon =
+| Name = (Pythagorean) tritone, Pythagorean augmented fourth, The Tyrant
-| Ratio = 729/512
+| Color name = Lw4, lawa 4th
-| Monzo = -9 6
-| Cents = 611.73001
-| Name = Pythagorean tritone <br>Pythagorean augmented fourth
-| Color name = Lw4, large wa 4th
 | Sound = Ji-729-512-csound-foscil-220hz.mp3
 }}
+'''729/512''', the '''Pythagorean augmented fourth''', may be reached by stacking six perfect fifths ([[3/2]]), and [[octave reduction|reducing by three octaves]]. While nowadays "tritone" more commonly refers to a broader range of intervals, in Medieval music theory, "tritone" referred more specifically to 729/512, as this is the interval reached by stacking three (Pythagorean whole) [[tone]]s ([[9/8]]). It is separated from the 5-limit interval of [[64/45]] by the schisma ([[32805/32768]]), less than 2{{cent}}.
-The '''Pythagorean augmented fourth''', '''729/512''', may be reached by stacking six perfect fifths ([[3/2]]), and reducing by three octaves. It is separated from the 5-limit interval of 64/45 by the schisma, [[32805/32768]] (less than 2 cents).
 == See also ==
-* [[1024/729]] - its [[inversion]]
+* [[Tritone]]
+* [[1024/729]] – its [[octave complement]]
+* [[256/243]] – its [[fifth complement]]
 * [[Pythagorean tuning]]
 * [[Gallery of just intervals]]
-[[Category:3-limit]]
-[[Category:Interval ratio]]
 [[Category:Tritone]]
-[[Category:Pythagorean]]
-[[Category:Listen]]