6/5: Difference between revisions

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

{{Infobox Interval

|-

| Icon = [[File:glyph_6_5.png|124px]] <small><br/>[[JI glyphs|JI glyph]]</small>

| Ratio = 6/5

|-

| Monzo = 1 1 -1

| | ~~JI Glyph of 6/5~~

| Cents = 315.64129

|}

| Name = minor third

| Sound = jid_6_5_pluck_adu_dr220.mp3

| Color name =

}}

'''6/5'''

In [[5-limit]] [[Just Intonation]], '''6/5''' is the classic minor third, measuring about 315.6[[cent|¢]]. It is sharp of the [[Pythagorean]] minor third of [[32/27]] (about 294.1¢) as well as the 300¢ minor third of [[4edo]], [[12edo]] and all other 4n-[[EDO|edo]]s. It arises in the [[OverToneSeries|harmonic series]] between the 5th and 6th overtones and appears in the [[5-limit|5-limit]] otonal triad of 4:5:6. A 5-limit minor triad in just intonation can be written 10:12:15, with 6/5 falling between 10 and 12, [[5/4]] falling between 12 and 15, and [[3/2]] falling between 10 and 15.

|~~1 1~~ -~~1>~~

~~315~~.~~64129 cents~~

In higher-limit JI, 6/5 is only one of many minor thirds. A popular one in the [[7-limit]] is [[7/6]] (about 266.9¢), the septimal subminor third, which is [[36/35]] (about 48.8¢) flat of 6/5. Another in the [[13-limit]] is [[13/11]] (about 289.2¢), which is [[66/65]] (about 26.4¢) flat of 6/5. Both of these are more complex intervals than 6/5 and have their own character to them.

[[~~File:jid_6_5_pluck_adu_dr220.mp3~~]] [[~~:File:jid_6_5_pluck_adu_dr220.mp3|sound sample~~]]

== See also ==

* [[Gallery of Just Intervals]]

* [[List of root-3rd-P5 triads in JI]]

In [[5-limit|5-limit]] [[Just_intonation|Just Intonation]], '''6/5''' is the classic minor third, measuring about 315.6[[cent|¢]]. It is sharp of the [[Pythagorean|Pythagorean]] minor third of [[32/27|32/27]] (about 294.1¢) as well as the 300¢ minor third of [[4edo|4edo]], [[12edo|12edo]] and all other 4n-[[EDO|edo]]s. It arises in the [[OverToneSeries|harmonic series]] between the 5th and 6th overtones and appears in the [[5-limit|5-limit]] otonal triad of 4:5:6. A 5-limit minor triad in just intonation can be written 10:12:15, with 6/5 falling between 10 and 12, [[5/4|5/4]] falling between 12 and 15, and [[3/2|3/2]] falling between 10 and 15.

[[Category:5-limit]]

In higher-limit JI, 6/5 is only one of many minor thirds. A popular one in the [[7-limit|7-limit]] is [[7/6|7/6]] (about 266.9¢), the septimal subminor third, which is [[36/35|36/35]] (about 48.8¢) flat of 6/5. Another in the [[13-limit|13-limit]] is [[13/11|13/11]] (about 289.2¢), which is [[66/65|66/65]] (about 26.4¢) flat of 6/5. Both of these are more complex intervals than 6/5 and have their own character to them.

~~See: [[Gallery_of_Just_Intervals|Gallery of Just Intervals]], [[List_of_root-3rd-P5_triads_in_JI|List of root-3rd-P5 triads in JI]]~~ [[Category:5-limit]]

[[Category:interval]]

[[Category:just_interval]]

@@ Line 1: / Line 1: @@
-{| class="wikitable"
+{{Infobox Interval
-|-
+| Icon = [[File:glyph_6_5.png|124px]] <small><br/>[[JI glyphs|JI glyph]]</small>
-| | [[File:glyph_6_5.png|alt=glyph 6 5.png|112x114px|glyph 6 5.png]]
+| Ratio = 6/5
-|-
+| Monzo = 1 1 -1
-| | JI Glyph of 6/5
+| Cents = 315.64129
-|}
+| Name = minor third
+| Sound = jid_6_5_pluck_adu_dr220.mp3
+| Color name =
+}}
-'''6/5'''
+In [[5-limit]] [[Just Intonation]], '''6/5''' is the classic minor third, measuring about 315.6[[cent|¢]]. It is sharp of the [[Pythagorean]] minor third of [[32/27]] (about 294.1¢) as well as the 300¢ minor third of [[4edo]], [[12edo]] and all other 4n-[[EDO|edo]]s. It arises in the [[OverToneSeries|harmonic series]] between the 5th and 6th overtones and appears in the [[5-limit|5-limit]] otonal triad of 4:5:6. A 5-limit minor triad in just intonation can be written 10:12:15, with 6/5 falling between 10 and 12, [[5/4]] falling between 12 and 15, and [[3/2]] falling between 10 and 15.
-|1 1 -1&gt;
-.64129 cents
+In higher-limit JI, 6/5 is only one of many minor thirds. A popular one in the [[7-limit]] is [[7/6]] (about 266.9¢), the septimal subminor third, which is [[36/35]] (about 48.8¢) flat of 6/5. Another in the [[13-limit]] is [[13/11]] (about 289.2¢), which is [[66/65]] (about 26.4¢) flat of 6/5. Both of these are more complex intervals than 6/5 and have their own character to them.
-[[File:jid_6_5_pluck_adu_dr220.mp3]] [[:File:jid_6_5_pluck_adu_dr220.mp3|sound sample]]
+== See also ==
+* [[Gallery of Just Intervals]]
+* [[List of root-3rd-P5 triads in JI]]
-In [[5-limit|5-limit]] [[Just_intonation|Just Intonation]], '''6/5''' is the classic minor third, measuring about 315.6[[cent|¢]]. It is sharp of the [[Pythagorean|Pythagorean]] minor third of [[32/27|32/27]] (about 294.1¢) as well as the 300¢ minor third of [[4edo|4edo]], [[12edo|12edo]] and all other 4n-[[EDO|edo]]s. It arises in the [[OverToneSeries|harmonic series]] between the 5th and 6th overtones and appears in the [[5-limit|5-limit]] otonal triad of 4:5:6. A 5-limit minor triad in just intonation can be written 10:12:15, with 6/5 falling between 10 and 12, [[5/4|5/4]] falling between 12 and 15, and [[3/2|3/2]] falling between 10 and 15.
+[[Category:5-limit]]
-In higher-limit JI, 6/5 is only one of many minor thirds. A popular one in the [[7-limit|7-limit]] is [[7/6|7/6]] (about 266.9¢), the septimal subminor third, which is [[36/35|36/35]] (about 48.8¢) flat of 6/5. Another in the [[13-limit|13-limit]] is [[13/11|13/11]] (about 289.2¢), which is [[66/65|66/65]] (about 26.4¢) flat of 6/5. Both of these are more complex intervals than 6/5 and have their own character to them.
-See: [[Gallery_of_Just_Intervals|Gallery of Just Intervals]], [[List_of_root-3rd-P5_triads_in_JI|List of root-3rd-P5 triads in JI]]      [[Category:5-limit]]
 [[Category:interval]]
 [[Category:just_interval]]