7/4: Difference between revisions

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{{interwiki

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{{Infobox Interval

| Ratio = 7/4

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Frequency ratio '''7/4''', measuring approximately 968.8 [[cent]]s, named '''harmonic seventh''' or '''natural seventh''', represents the interval between the 4th and 7th harmonics in the [[harmonic series]]. It is also called a '''septimal minor seventh''' or '''subminor seventh''' – the word "septimal" referring to the presence of a 7 as the highest [[prime]] in the ratio, and the word "subminor" referring to the harmonic seventh's narrowness compared with a traditional minor seventh (such as [[9/5]] or [[16/9]], [[12edo]]'s 1000-cent interval, or a minor seventh found in a meantone system). While many microtonalists see 7/4 as being strictly a type of seventh, [[User:Aura|Aura]] is one of perhaps only a handful of microtonalists at most to [[User:Aura/Aura's Ideas on Functional Harmony #Interstep Functions|offer a counterargument]].

Frequency ratio '''7/4''', measuring approximately 968.8 [[cent]]s, named '''harmonic seventh''' or '''natural seventh''', represents the interval between the 4th and 7th harmonics in the [[~~overtone~~ series]]. It is also called a '''septimal minor seventh''' or '''subminor seventh''' – the word "septimal" referring to the presence of a 7 as the highest [[prime]] in the ratio, and the word "subminor" referring to the harmonic seventh's narrowness compared with a traditional minor seventh (such as [[9/5]] or [[16/9]], [[12edo]]'s 1000-cent interval, or a minor seventh found in a meantone system). While many microtonalists see 7/4 as being strictly a type of seventh, [[User:Aura|Aura]] is one of perhaps only a handful of microtonalists at most to [[User:Aura/Aura's Ideas on Functional Harmony #Interstep Functions|offer a counterargument]].

7:4 has seen use in blues music, barbershop quartet music, and some musical traditions of the world, but has mostly not been recognized as a "[[consonance]]" in Western music theory. In most [[Just Intonation]] systems, the harmonic seventh is treated as a fundamental consonance in its own right, with its own distinct quality.

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[[Category:7-limit]]

~~[[Category:Just interval]]~~

~~[[Category:Overtone]]~~

~~[[Category:Theory]]~~

[[Category:Seventh]]

[[Category:Subminor seventh]]

[[Category:Over-2]]

[[Category:Octave-reduced harmonics]]

[[Category:Pages with internal sound examples]]

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+{{interwiki
+| de = Naturseptime
+| en = 7/4
+| es =
+| ja =
+}}
 {{Infobox Interval
 | Ratio = 7/4
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 {{Wikipedia| Harmonic seventh }}
-__TOC__
+Frequency ratio '''7/4''', measuring approximately 968.8 [[cent]]s, named '''harmonic seventh''' or '''natural seventh''', represents the interval between the 4th and 7th harmonics in the [[harmonic series]]. It is also called a '''septimal minor seventh''' or '''subminor seventh''' – the word "septimal" referring to the presence of a 7 as the highest [[prime]] in the ratio, and the word "subminor" referring to the harmonic seventh's narrowness compared with a traditional minor seventh (such as [[9/5]] or [[16/9]], [[12edo]]'s 1000-cent interval, or a minor seventh found in a meantone system). While many microtonalists see 7/4 as being strictly a type of seventh, [[User:Aura|Aura]] is one of perhaps only a handful of microtonalists at most to [[User:Aura/Aura's Ideas on Functional Harmony #Interstep Functions|offer a counterargument]].
-Frequency ratio '''7/4''', measuring approximately 968.8 [[cent]]s, named '''harmonic seventh''' or '''natural seventh''', represents the interval between the 4th and 7th harmonics in the [[overtone series]]. It is also called a '''septimal minor seventh''' or '''subminor seventh''' – the word "septimal" referring to the presence of a 7 as the highest [[prime]] in the ratio, and the word "subminor" referring to the harmonic seventh's narrowness compared with a traditional minor seventh (such as [[9/5]] or [[16/9]], [[12edo]]'s 1000-cent interval, or a minor seventh found in a meantone system). While many microtonalists see 7/4 as being strictly a type of seventh, [[User:Aura|Aura]] is one of perhaps only a handful of microtonalists at most to [[User:Aura/Aura's Ideas on Functional Harmony #Interstep Functions|offer a counterargument]].
 :4 has seen use in blues music, barbershop quartet music, and some musical traditions of the world, but has mostly not been recognized as a "[[consonance]]" in Western music theory. In most [[Just Intonation]] systems, the harmonic seventh is treated as a fundamental consonance in its own right, with its own distinct quality.
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 [[Category:7-limit]]
-[[Category:Just interval]]
-[[Category:Overtone]]
-[[Category:Theory]]
 [[Category:Seventh]]
 [[Category:Subminor seventh]]
 [[Category:Over-2]]
+[[Category:Octave-reduced harmonics]]
 [[Category:Pages with internal sound examples]]
-<!-- interwiki -->
-[[de:Naturseptime]]