5/4: Difference between revisions
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| Cents = 386.31371 | | Cents = 386.31371 | ||
| Name = just major third | | Name = just major third | ||
| Color name = y3, yo 3rd | |||
| FJS name = M3<sup>5</sup> | |||
| Sound = jid_5_4_pluck_adu_dr220.mp3 | | Sound = jid_5_4_pluck_adu_dr220.mp3 | ||
}} | }} | ||
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, | 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). | 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 == | == See also == | ||
* [[8/5]] | * [[8/5]] – its [[octave complement]] | ||
* [[5/2]] | * [[6/5]] – its [[fifth complement]] | ||
* [[5/2]] – the interval plus one [[octave]] sounds even more [[consonant]] | |||
* [[Gallery of Just Intervals]] | * [[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]] | * Alternative listening material: <br>[[File:5-4.mp3]] [[:File:5-4.mp3|5-4.mp3]] | ||
Revision as of 11:26, 19 September 2020
| Interval information |
reduced,
reduced harmonic
[sound info]
In Just Intonation, 5/4 is the frequency ratio between the 5th and 4th harmonics. Measuring about 386.3¢, 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).
It has been called the just major third to distinguish it from the other intervals in that neighborhood.
See also
- 8/5 – its octave complement
- 6/5 – its fifth complement
- 5/2 – the interval plus one octave sounds even more consonant
- Gallery of Just Intervals
- Major third - Wikipedia
- Alternative listening material:
5-4.mp3