5/4: Difference between revisions

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| Monzo = -2 0 1

| Cents = 386.31371

| Name = ~~just~~ major third

| Name = classic major third

| Color name = y3, yo 3rd

| FJS name = M3<sup>5</sup>

Line 10:

}}

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 [[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 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).

~~It has been called the ''just major third'' to distinguish it from the other intervals in that neighborhood.~~

== See also ==

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* [[Gallery of Just Intervals]]

* [[Wikipedia:Major third|Major third - Wikipedia]]

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

* [[:File:5-4.mp3]] – another sound sample

[[Category:5-limit]]

@@ Line 4: / Line 4: @@
 | Monzo = -2 0 1
 | Cents = 386.31371
-| Name = just major third
+| Name = classic major third
 | Color name = y3, yo 3rd
 | FJS name = M3<sup>5</sup>
@@ Line 10: / Line 10: @@
 }}
-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 [[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 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).
-It has been called the ''just major third'' to distinguish it from the other intervals in that neighborhood.
 == See also ==
@@ Line 22: / Line 20: @@
 * [[Gallery of Just Intervals]]
 * [[Wikipedia:Major third|Major third - Wikipedia]]
-* Alternative listening material: <br>[[File:5-4.mp3]] [[:File:5-4.mp3|5-4.mp3]]
+* [[:File:5-4.mp3]] – another sound sample
 [[Category:5-limit]]