45/32: Difference between revisions

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{{Infobox Interval

~~| Ratio = 45/32~~

| Name = smaller pental tritone, smaller diatonic tritone, ptolemaic augmented fourth

~~| Monzo = -5 2 1~~

~~| Cents = 590.22372~~

| Name = smaller pental tritone, ~~<br>~~smaller diatonic tritone

| Color name = y4, yo 4th

~~| FJS name = A4<sup>5</sup>~~

| Sound = jid_45_32_pluck_adu_dr220.mp3

}}

'''45/32''' is the '''smaller pental [[tritone]]''', a ''diatonic tritone'' of [[5-limit]] [[just intonation]]. It is a [[syntonic comma]] away from the ~~pythagorean tritone~~ [[729/512]], which means it is justly tuned in [[1/6 syntonic comma meantone]]. It is separated from its inversion of [[64/45]] by the [[diaschisma]], 2048/2025 (''c''. 19.6 cents).

'''45/32''' is the '''smaller pental [[tritone]]''', a ''diatonic tritone'' of [[5-limit]] [[just intonation]]- specifically, it is the '''ptolemaic augmented fourth'''. It is a [[syntonic comma]] away from the Pythagorean augmented fourth [[729/512]], which means it is justly tuned in [[1/6 syntonic comma meantone]]. It is separated from its inversion of [[64/45]] by the [[diaschisma]], 2048/2025 (''c''. 19.6 cents).

== See also ==

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* [[16/15]] – its [[fifth complement]]

~~[[Category:5-limit]]~~

[[Category:Tritone]]

~~[[Category:Octave-reduced harmonics]]~~

[[Category:Meantone]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Ratio = 45/32
+| Name = smaller pental tritone, smaller diatonic tritone, ptolemaic augmented fourth
-| Monzo = -5 2 1
-| Cents = 590.22372
-| Name = smaller pental tritone, <br>smaller diatonic tritone
 | Color name = y4, yo 4th
-| FJS name = A4<sup>5</sup>
 | Sound = jid_45_32_pluck_adu_dr220.mp3
 }}
-'''45/32''' is the '''smaller pental [[tritone]]''', a ''diatonic tritone'' of [[5-limit]] [[just intonation]]. It is a [[syntonic comma]] away from the pythagorean tritone [[729/512]], which means it is justly tuned in [[1/6 syntonic comma meantone]]. It is separated from its inversion of [[64/45]] by the [[diaschisma]], 2048/2025 (''c''. 19.6 cents).
+'''45/32''' is the '''smaller pental [[tritone]]''', a ''diatonic tritone'' of [[5-limit]] [[just intonation]]- specifically, it is the '''ptolemaic augmented fourth'''. It is a [[syntonic comma]] away from the Pythagorean augmented fourth [[729/512]], which means it is justly tuned in [[1/6 syntonic comma meantone]]. It is separated from its inversion of [[64/45]] by the [[diaschisma]], 2048/2025 (''c''. 19.6 cents).
 == See also ==
@@ Line 15: / Line 11: @@
 * [[16/15]] – its [[fifth complement]]
-[[Category:5-limit]]
 [[Category:Tritone]]
-[[Category:Octave-reduced harmonics]]
 [[Category:Meantone]]
 {{todo|expand}}