5/4: Difference between revisions
m +FJS name; cleanup |
Change name from "just" to "classic" in accordance with others |
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| Monzo = -2 0 1 | | Monzo = -2 0 1 | ||
| Cents = 386.31371 | | Cents = 386.31371 | ||
| Name = | | Name = classic major third | ||
| Color name = y3, yo 3rd | | Color name = y3, yo 3rd | ||
| FJS name = M3<sup>5</sup> | | FJS name = M3<sup>5</sup> | ||
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}} | }} | ||
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). | 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). | ||
== See also == | == See also == | ||
| Line 22: | Line 20: | ||
* [[Gallery of Just Intervals]] | * [[Gallery of Just Intervals]] | ||
* [[Wikipedia:Major third|Major third - Wikipedia]] | * [[Wikipedia:Major third|Major third - Wikipedia]] | ||
* | * [[:File:5-4.mp3]] – another sound sample | ||
[[Category:5-limit]] | [[Category:5-limit]] | ||
Revision as of 11:44, 19 September 2020
| Interval information |
reduced,
reduced harmonic
[sound info]
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¢, 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).
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
- File:5-4.mp3 – another sound sample