5/4: Difference between revisions

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{{interwiki

| de = Naturterz

| en = 5/4

| es =

| ja =

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{{Infobox Interval

| Ratio = 5/4

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| Sound = jid_5_4_pluck_adu_dr220.mp3

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In [[5-limit]] [[just intonation]], '''5/4''' is the [[frequency ratio]] between the 5th and 4th ~~harmonics~~. It has been called the '''just major third''' or '''classic major third''' to distinguish it from other intervals in that neighborhood. Measuring about 386.3[[cent|¢]], it is about 13.7¢ away from [[12edo]]'s major third of ~~400¢~~. It has a distinctive "sweet" sound, and has been described as more "laid back" than its 12edo counterpart. Providing a novel consonance after 3, it is the basis for [[5-limit]] harmony. It is distinguished from the [[Pythagorean]] major third of [[81/64]] by the syntonic comma of [[81/80]], which measures about 21.5¢. 81/64 and 5/4 are both just intonation "major thirds", 81/64 having a more active and discordant quality, 5/4 sounding more "restful".

In [[5-limit]] [[just intonation]], '''5/4''' is the [[frequency ratio]] between the 5th and 4th [[harmonic]]s. It has been called the '''just major third''' or '''classic major third''' to distinguish it from other intervals in that neighborhood. Measuring about 386.3 [[cent|¢]], it is about 13.7 ¢ away from [[12edo]]'s major third of 400 ¢. It has a distinctive "sweet" sound, and has been described as more "laid back" than its 12edo counterpart. Providing a novel consonance after 3, it is the basis for [[5-limit]] harmony. It is distinguished from the [[Pythagorean]] major third of [[81/64]] by the syntonic comma of [[81/80]], which measures about 21.5 ¢. 81/64 and 5/4 are both just intonation "major thirds", 81/64 having a more active and discordant quality, 5/4 sounding more "restful".

In the context of the harmonic series, 5/4 can be heard between the 4th and 5th member of the series, demonstrated here melodically in singing into a resonant [[udderbot]] (from the fundamental up to 5 and then noodling between 5 and 4).

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* [[Gallery of just intervals]]

* [[List of superparticular intervals]]

* [[Wikipedia: Major third]]

* [[:File:5-4.mp3]] – sound sample that illustrates 5/4 as the interval between sung overtones

[[Category:5-limit]]

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

~~[[Category:Just interval]]~~

~~[[Category:Interval]]~~

[[Category:Third]]

[[Category:Major third]]

[[Category:Superparticular]]

[[Category:~~Overtone~~]]

[[Category:Octave-reduced harmonics]]

[[Category:Over-2]]

[[Category:Pages with internal sound examples]]

~~~~

[[de:~~Naturterz~~]]

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+{{interwiki
+| de = Naturterz
+| en = 5/4
+| es =
+| ja =
+}}
 {{Infobox Interval
 | Ratio = 5/4
@@ Line 8: / Line 14: @@
 | Sound = jid_5_4_pluck_adu_dr220.mp3
 }}
+{{Wikipedia|Major third}}
-In [[5-limit]] [[just intonation]], '''5/4''' is the [[frequency ratio]] between the 5th and 4th harmonics. It has been called the '''just major third''' or '''classic major third''' to distinguish it from other intervals in that neighborhood. Measuring about 386.3[[cent|¢]], it is about 13.7¢ away from [[12edo]]'s major third of 400¢. It has a distinctive "sweet" sound, and has been described as more "laid back" than its 12edo counterpart. Providing a novel consonance after 3, it is the basis for [[5-limit]] harmony. It is distinguished from the [[Pythagorean]] major third of [[81/64]] by the syntonic comma of [[81/80]], which measures about 21.5¢. 81/64 and 5/4 are both just intonation "major thirds", 81/64 having a more active and discordant quality, 5/4 sounding more "restful".
+In [[5-limit]] [[just intonation]], '''5/4''' is the [[frequency ratio]] between the 5th and 4th [[harmonic]]s. It has been called the '''just major third''' or '''classic major third''' to distinguish it from other intervals in that neighborhood. Measuring about 386.3 [[cent|¢]], it is about 13.7 ¢ away from [[12edo]]'s major third of 400 ¢. It has a distinctive "sweet" sound, and has been described as more "laid back" than its 12edo counterpart. Providing a novel consonance after 3, it is the basis for [[5-limit]] harmony. It is distinguished from the [[Pythagorean]] major third of [[81/64]] by the syntonic comma of [[81/80]], which measures about 21.5 ¢. 81/64 and 5/4 are both just intonation "major thirds", 81/64 having a more active and discordant quality, 5/4 sounding more "restful".
 In the context of the harmonic series, 5/4 can be heard between the 4th and 5th member of the series, demonstrated here melodically in singing into a resonant [[udderbot]] (from the fundamental up to 5 and then noodling between 5 and 4).
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 * [[Gallery of just intervals]]
 * [[List of superparticular intervals]]
-* [[Wikipedia: Major third]]
 * [[:File:5-4.mp3]] – sound sample that illustrates 5/4 as the interval between sung overtones
 [[Category:5-limit]]
-[[Category:Interval ratio]]
-[[Category:Just interval]]
-[[Category:Interval]]
 [[Category:Third]]
 [[Category:Major third]]
 [[Category:Superparticular]]
-[[Category:Overtone]]
+[[Category:Octave-reduced harmonics]]
 [[Category:Over-2]]
+[[Category:Pages with internal sound examples]]
-<!-- interwiki -->
-[[de:Naturterz]]