7/4: Difference between revisions

Line 4:

| Monzo = -2 0 0 1

| Cents = 968.82591

| Name = harmonic seventh

| Name = harmonic seventh <br> natural seventh

| Color name = z7, zo 7th

| FJS name = m7<sup>7</sup>

Line 12:

__TOC__

Frequency ratio '''7:4''', measuring approximately 968.8 [[cent|cents]], ~~has been given the name~~ '''"harmonic seventh"'''~~. It~~ represents the interval between the 4th and 7th harmonics in the [[overtone series]]. It is also called a "septimal 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|9:5]] or [[16/9|16:9]], [[12edo]]'s 1000-cent interval, or a minor seventh found in a meantone system).

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 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|9:5]] or [[16/9|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.

@@ Line 4: / Line 4: @@
 | Monzo = -2 0 0 1
 | Cents = 968.82591
-| Name = harmonic seventh
+| Name = harmonic seventh <br> natural seventh
 | Color name = z7, zo 7th
 | FJS name = m7<sup>7</sup>
@@ Line 12: / Line 12: @@
 __TOC__
-Frequency ratio '''7:4''', measuring approximately 968.8 [[cent|cents]], has been given the name '''"harmonic seventh"'''. It represents the interval between the 4th and 7th harmonics in the [[overtone series]]. It is also called a "septimal 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|9:5]] or [[16/9|16:9]], [[12edo]]'s 1000-cent interval, or a minor seventh found in a meantone system).
+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 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|9:5]] or [[16/9|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.