729/512: Difference between revisions

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{{Infobox Interval

| Name = Pythagorean tritone, Pythagorean augmented fourth~~, The Tyrant~~

| Name = (Pythagorean) tritone, Pythagorean augmented fourth

| Color name = Lw4, lawa 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]]. It is separated from the 5-limit interval of [[64/45]] by the schisma ([[32805/32768]]), less than 2{{cent}}.

'''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}}.

~~From a literal point of view, this interval is the only one that rightly bears the name ''[[tritone]]'', because it is created by combining three [[tone]]s: <code>([[9/8]])<sup>3</sup></code>~~.

== See also ==

* [[Tritone]]

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

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

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Name = Pythagorean tritone, Pythagorean augmented fourth, The Tyrant
+| Name = (Pythagorean) tritone, Pythagorean augmented fourth
 | Color name = Lw4, lawa 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]]. It is separated from the 5-limit interval of [[64/45]] by the schisma ([[32805/32768]]), less than 2{{cent}}.
+'''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}}.
-From a literal point of view, this interval is the only one that rightly bears the name ''[[tritone]]'', because it is created by combining three [[tone]]s: <code>([[9/8]])<sup>3</sup></code>.
 == See also ==
+* [[Tritone]]
 * [[1024/729]] – its [[octave complement]]
 * [[256/243]] – its [[fifth complement]]