729/512: Difference between revisions

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{{Infobox Interval

~~| Ratio = 729/512~~

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

~~| Monzo = -9 6~~

~~| Cents = 611.73001~~

| Name = Pythagorean tritone, ~~<br>~~Pythagorean augmented fourth, ~~<br>~~The Tyrant

| Color name = Lw4, lawa 4th

~~| FJS name = A4~~

| 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]]

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* [[Gallery of just intervals]]

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

[[Category:Tritone]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Ratio = 729/512
+| Name = (Pythagorean) tritone, Pythagorean augmented fourth, The Tyrant
-| Monzo = -9 6
-| Cents = 611.73001
-| Name = Pythagorean tritone, <br>Pythagorean augmented fourth, <br>The Tyrant
 | Color name = Lw4, lawa 4th
-| FJS name = A4
 | 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]]
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 * [[Gallery of just intervals]]
-[[Category:3-limit]]
 [[Category:Tritone]]