8/7: Difference between revisions

Line 4:

| Monzo = 3 0 0 -1

| Cents = 231.17409

| Name = septimal supermajor second

| Name = septimal whole tone, <br>supermajor second, <br>septimal major second

| Color name = r2, ru 2nd

| FJS name = M2<sub>7</sub>

| Sound = jid_8_7_pluck_adu_dr220.mp3

~~| Color name = r2, ru 2nd~~

}}

In [[Just Intonation]], 8/7 is the "septimal ~~supermajor~~ second" of approximately 231.2¢. Although it falls between the familiar major second and minor third of [[12edo]], it generally sounds more like a wide second than a narrow third. It can be found between the 7th and 8th overtones in the harmonic series and is thus a [[superparticular]] ratio. In [[7-limit]] JI and higher, it is treated as a consonance, particularly in the context of a chord such as 4:5:6:7:8, where it appears between the harmonic seventh ([[7/4]]) and octave. It differs from the Pythagorean major second of [[9/8]] by [[64/63]], a microtone of about 27.3¢. It's close in size to one step of 5edo = 240¢.

In [[Just Intonation]], 8/7 is the '''supermajor second''' or '''septimal major second''' of approximately 231.2¢. Although it falls between the familiar major second and minor third of [[12edo]], it generally sounds more like a wide second than a narrow third. It can be found between the 7th and 8th overtones in the harmonic series and is thus a [[superparticular]] ratio. In [[7-limit]] JI and higher, it is treated as a consonance, particularly in the context of a chord such as 4:5:6:7:8, where it appears between the harmonic seventh ([[7/4]]) and octave. It differs from the Pythagorean major second of [[9/8]] by [[64/63]], a microtone of about 27.3¢. It's close in size to one step of 5edo = 240¢.

== See also ==

* [[7/4]] – its [[octave complement]]

* [[21/16]] – its [[fifth complement]]

* [[Gallery of Just Intervals]]

* [~~http~~:~~//en.wikipedia.org/wiki/~~Septimal_whole_tone Septimal whole tone - Wikipedia].

* [[Wikipedia:Septimal_whole_tone|Septimal whole tone - Wikipedia]]

[[Category:7-limit]]

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[[Category:Interval ratio]]

[[Category:Second]]

[[Category:Whole tone]]

[[Category:Superparticular]]

~~[[Category:Whole tone]]~~

[[Category:Over-7]]

[[Category:Subharmonic]]

@@ Line 4: / Line 4: @@
 | Monzo = 3 0 0 -1
 | Cents = 231.17409
-| Name = septimal supermajor second
+| Name = septimal whole tone, <br>supermajor second, <br>septimal major second
+| Color name = r2, ru 2nd
+| FJS name = M2<sub>7</sub>
 | Sound = jid_8_7_pluck_adu_dr220.mp3
-| Color name = r2, ru 2nd
 }}
-In [[Just Intonation]], 8/7 is the "septimal supermajor second" of approximately 231.2¢. Although it falls between the familiar major second and minor third of [[12edo]], it generally sounds more like a wide second than a narrow third. It can be found between the 7th and 8th overtones in the harmonic series and is thus a [[superparticular]] ratio. In [[7-limit]] JI and higher, it is treated as a consonance, particularly in the context of a chord such as 4:5:6:7:8, where it appears between the harmonic seventh ([[7/4]]) and octave. It differs from the Pythagorean major second of [[9/8]] by [[64/63]], a microtone of about 27.3¢. It's close in size to one step of 5edo = 240¢.
+In [[Just Intonation]], 8/7 is the '''supermajor second''' or '''septimal major second''' of approximately 231.2¢. Although it falls between the familiar major second and minor third of [[12edo]], it generally sounds more like a wide second than a narrow third. It can be found between the 7th and 8th overtones in the harmonic series and is thus a [[superparticular]] ratio. In [[7-limit]] JI and higher, it is treated as a consonance, particularly in the context of a chord such as 4:5:6:7:8, where it appears between the harmonic seventh ([[7/4]]) and octave. It differs from the Pythagorean major second of [[9/8]] by [[64/63]], a microtone of about 27.3¢. It's close in size to one step of 5edo = 240¢.
 == See also ==
+* [[7/4]] – its [[octave complement]]
+* [[21/16]] – its [[fifth complement]]
 * [[Gallery of Just Intervals]]
-* [http://en.wikipedia.org/wiki/Septimal_whole_tone Septimal whole tone - Wikipedia].
+* [[Wikipedia:Septimal_whole_tone|Septimal whole tone - Wikipedia]]
 [[Category:7-limit]]
@@ Line 19: / Line 22: @@
 [[Category:Interval ratio]]
 [[Category:Second]]
+[[Category:Whole tone]]
 [[Category:Superparticular]]
-[[Category:Whole tone]]
 [[Category:Over-7]]
 [[Category:Subharmonic]]