7/4: Difference between revisions

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Frequency ratio '''7/4''', measuring approximately 968.8 [[cent|cents]], 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). However, while 7/4 most commonly acts as a sort of subminor seventh, and is rightly recognized as such in these cases, some may argue based on its relationships with certain other intervals in the harmonic series- especially [[5/4]] and [[11/8]]- that 7/4 is not merely a type of seventh, but rather, a type of "sinth", a cross between a sixth and a seventh.

Frequency ratio '''7/4''', measuring approximately 968.8 [[cent|cents]], 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).

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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-Frequency ratio '''7/4''', measuring approximately 968.8 [[cent|cents]], 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).  However, while 7/4 most commonly acts as a sort of subminor seventh, and is rightly recognized as such in these cases, some may argue based on its relationships with certain other intervals in the harmonic series- especially [[5/4]] and [[11/8]]- that 7/4 is not merely a type of seventh, but rather, a type of "sinth", a cross between a sixth and a seventh.
+Frequency ratio '''7/4''', measuring approximately 968.8 [[cent|cents]], 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).
 :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.