5/4: Difference between revisions
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| [[File:5_4_glyph.png|alt=5 4 glyph.png|113x123px|5 4 glyph.png]] | |||
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| JI Glyph for 5/4 | |||
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'''5/4''' | '''5/4''' | ||
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{{Monzo| -2 0 1 }} | |||
386.31371 cents | 386.31371 cents | ||
[[File:jid_5_4_pluck_adu_dr220.mp3]] [[:File:jid_5_4_pluck_adu_dr220.mp3| | [[File:jid_5_4_pluck_adu_dr220.mp3]] <br/> [[:File:jid_5_4_pluck_adu_dr220.mp3|jid_5_4_pluck_adu_dr220.mp3]] | ||
In [[ | 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). | ||
[[File:5-4.mp3]] | [[File:5-4.mp3]] <br/> [[:File:5-4.mp3|5-4.mp3]] | ||
[[:File:5-4.mp3|5-4.mp3]] | |||
5/4 converted to cents (¢): 1200 * log (5/4) / log (2) = 386.314... | 5/4 converted to cents (¢): 1200 * log (5/4) / log (2) = 386.314... | ||
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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. | 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 [[Gallery of Just Intervals]]'' | |||
[[Category:5-limit]] | |||
[[Category:just_interval]] | [[Category:just_interval]] | ||
[[Category:major_third]] | [[Category:major_third]] | ||
[[Category:ratio]] | [[Category:ratio]] | ||
[[Category:superparticular]] | [[Category:superparticular]] | ||
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[[de:Naturterz]] | |||
Revision as of 13:10, 11 October 2018
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| JI Glyph for 5/4 |
5/4
[-2 0 1⟩
386.31371 cents
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).
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 Gallery of Just Intervals