8/7: Difference between revisions

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{| ~~class~~=~~"wikitable"~~

{{Infobox Interval

|-

| Icon = [[File:glyph_8_7.png|124px]] <small><br/>[[JI glyphs|JI glyph]]</small>

| Ratio = 8/7

|-

| Monzo = 3 0 0 -1

| | ~~JI glyph for 8/7~~

| Cents = 231.17409

|}

| Name = septimal supermajor second

| Sound = jid_8_7_pluck_adu_dr220.mp3

| Color name =

}}

~~'''~~8/7~~'''~~

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¢.

~~|3 0 0~~ -~~1>~~

~~231,17409 cents~~

== See also ==

* [[Gallery of Just Intervals]]

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

~~[[File:jid_8_7_pluck_adu_dr220.mp3]] [[:File:jid_8_7_pluck_adu_dr220.mp3|sound sample]]~~

[[Category:7-limit]]

In [[Just_intonation|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|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|superparticular]] ratio. In [[7-limit|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|7/4]]) and octave. It differs from the Pythagorean major second of [[9/8|9/8]] by [[64/63|64/63]], a microtone of about 27.3¢.

~~See the Wikipedia article for [http://en.wikipedia.org/wiki/Septimal_whole_tone Septimal whole tone].~~

~~See also: [[Gallery_of_Just_Intervals|Gallery of Just Intervals]]~~ [[Category:7-limit]]

[[Category:8/7]]

[[Category:interval]]

@@ Line 1: / Line 1: @@
-{| class="wikitable"
+{{Infobox Interval
-|-
+| Icon = [[File:glyph_8_7.png|124px]] <small><br/>[[JI glyphs|JI glyph]]</small>
-| | [[File:glyph_8_7.png|alt=glyph 8 7.png|122x111px|glyph 8 7.png]]
+| Ratio = 8/7
-|-
+| Monzo = 3 0 0 -1
-| | JI glyph for 8/7
+| Cents = 231.17409
-|}
+| Name = septimal supermajor second
+| Sound = jid_8_7_pluck_adu_dr220.mp3
+| Color name =
+}}
-'''8/7'''
+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¢.
-|3 0 0 -1&gt;
-,17409 cents
+== See also ==
+* [[Gallery of Just Intervals]]
+* [http://en.wikipedia.org/wiki/Septimal_whole_tone Septimal whole tone - Wikipedia].
-[[File:jid_8_7_pluck_adu_dr220.mp3]] [[:File:jid_8_7_pluck_adu_dr220.mp3|sound sample]]
+[[Category:7-limit]]
-In [[Just_intonation|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|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|superparticular]] ratio. In [[7-limit|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|7/4]]) and octave. It differs from the Pythagorean major second of [[9/8|9/8]] by [[64/63|64/63]], a microtone of about 27.3¢.
-See the Wikipedia article for [http://en.wikipedia.org/wiki/Septimal_whole_tone Septimal whole tone].
-See also: [[Gallery_of_Just_Intervals|Gallery of Just Intervals]]      [[Category:7-limit]]
 [[Category:8/7]]
 [[Category:interval]]