1024/729: Difference between revisions

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{{Infobox Interval

~~| Icon =~~

| Name = Pythagorean narrow tritone, Pythagorean diminished fifth

~~| Ratio = 1024/729~~

| Color name = sw5, sawa 5th

~~| Monzo = 10 -6~~

~~| Cents = 588.26999~~

| Name = Pythagorean narrow tritone, ~~<br>~~Pythagorean diminished fifth

| Color name = sw5, ~~small wa~~ 5th

~~| FJS name = d5~~

| Sound = Ji-1024-729-csound-foscil-220hz.mp3

}}

~~The~~ '''~~Pythagorean diminished fifth~~''', '''~~1024/729~~''', may be reached by stacking six perfect fourths ([[4/3]]), and reducing by two octaves~~. It~~ is separated from the 5-limit interval of [[45/32]] by the [[~~32805/32768|~~schisma ~~(32805/32768)~~]], less than 2 cents.

'''1024/729''', the '''Pythagorean diminished fifth''', is the [[octave complement]] of the Pythagorean augmented fourth ([[729/512]]). It may be reached by stacking six perfect fourths ([[4/3]]), and reducing by two octaves, it is separated from the 5-limit interval of [[45/32]] by the [[schisma]] (less than 2 cents).

== See also ==

* [[729/512]] – its [[octave complement]]

* [[2187/2048]] – 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 narrow tritone, Pythagorean diminished fifth
-| Ratio = 1024/729
+| Color name = sw5, sawa 5th
-| Monzo = 10 -6
-| Cents = 588.26999
-| Name = Pythagorean narrow tritone, <br>Pythagorean diminished fifth
-| Color name = sw5, small wa 5th
-| FJS name = d5
 | Sound = Ji-1024-729-csound-foscil-220hz.mp3
 }}
-The '''Pythagorean diminished fifth''', '''1024/729''', may be reached by stacking six perfect fourths ([[4/3]]), and reducing by two octaves. It is separated from the 5-limit interval of [[45/32]] by the [[32805/32768|schisma (32805/32768)]], less than 2 cents.
+'''1024/729''', the '''Pythagorean diminished fifth''', is the [[octave complement]] of the Pythagorean augmented fourth ([[729/512]]). It may be reached by stacking six perfect fourths ([[4/3]]), and reducing by two octaves, it is separated from the 5-limit interval of [[45/32]] by the [[schisma]] (less than 2 cents).
 == See also ==
-* [[729/512]] – its [[octave complement]]
 * [[2187/2048]] – its [[fifth complement]]
 * [[Pythagorean tuning]]
 * [[Gallery of just intervals]]
-[[Category:3-limit]]
-[[Category:Interval ratio]]
 [[Category:Tritone]]
-[[Category:Pythagorean]]
-[[Category:Listen]]