5/4: Difference between revisions

Line 5:

| Cents = 386.31371

| Name = just major third

| Color name = y3, yo 3rd

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

| 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).

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

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

== See also ==

* [[8/5]] - its [[~~inversion~~]]

* [[8/5]] – its [[octave complement]]

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

* [[6/5]] – its [[fifth complement]]

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

* [[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]]

@@ Line 5: / Line 5: @@
 | Cents = 386.31371
 | Name = just major third
+| Color name = y3, yo 3rd
+| FJS name = M3<sup>5</sup>
 | 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).
-/4 has been called the ''just major third'' to distinguish it from the other intervals in that neighborhood.
+It has been called the ''just major third'' to distinguish it from the other intervals in that neighborhood.
 == See also ==
-* [[8/5]] - its [[inversion]]
+* [[8/5]] – its [[octave complement]]
-* [[5/2]] - the interval plus one [[octave]] sounds even more [[consonant]]
+* [[6/5]] – its [[fifth complement]]
+* [[5/2]] – the interval plus one [[octave]] sounds even more [[consonant]]
 * [[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]]