5/4: Difference between revisions

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| Name = just major third

| Sound = jid_5_4_pluck_adu_dr220.mp3

| Color name = y3, yo 3rd

}}

In [[Just Intonation]], '''5/4''' is the frequency ratio between the 5th and 4th harmonics. 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 [[Just Intonation]], '''5/4''' is the [[frequency ratio]] between the 5th and 4th harmonics. 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 [http://udderbot.wikispaces.com/home udderbot] (from the fundamental up to 5 and then noodling between 5 and 4).

~~[[File:5-4.mp3]] <br/> [[:File:5-4.mp3|5-4.mp3]]~~

5/4 has been called the ''just major third'' to distinguish it from the other intervals in that neighborhood.

~~5/4 converted to cents (¢): 1200 * log (5/4) / log (2) = 386.314...~~

5/4 ~~the interval, like all ''intervals'', refers to a ''relation'' between two pitches. It~~ has been called the ''just major third'' to distinguish it from the other intervals in that neighborhood.

== See also ==

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* [[5/2]] - the interval plus one [[octave]] sounds even more [[consonant]]

* [[Gallery of Just Intervals]]

* Alternative listening material: <br>[[File:5-4.mp3]] [[:File:5-4.mp3|5-4.mp3]]

[[Category:5-limit]]

@@ Line 6: / Line 6: @@
 | Name = just major third
 | Sound = jid_5_4_pluck_adu_dr220.mp3
 | Color name = y3, yo 3rd
 }}
-In [[Just Intonation]], '''5/4''' is the frequency ratio between the 5th and 4th harmonics. 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 [[Just Intonation]], '''5/4''' is the [[frequency ratio]] between the 5th and 4th harmonics. 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 [http://udderbot.wikispaces.com/home udderbot] (from the fundamental up to 5 and then noodling between 5 and 4).
-[[File:5-4.mp3]] <br/> [[:File:5-4.mp3|5-4.mp3]]
+/4 has been called the ''just major third'' to distinguish it from the other intervals in that neighborhood.
-/4 converted to cents (¢): 1200 * log (5/4) / log (2) = 386.314...
-/4 the interval, like all ''intervals'', refers to a ''relation'' between two pitches. It has been called the ''just major third'' to distinguish it from the other intervals in that neighborhood.
 == See also ==
@@ Line 23: / Line 19: @@
 * [[5/2]] - the interval plus one [[octave]] sounds even more [[consonant]]
 * [[Gallery of Just Intervals]]
+* Alternative listening material: <br>[[File:5-4.mp3]] [[:File:5-4.mp3|5-4.mp3]]
 [[Category:5-limit]]