5/3: Difference between revisions

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

{{Infobox Interval

|-

| Icon = [[File:glyph_5_3.png|124px]] <small><br/>[[JI glyphs|JI glyph]]</small>

| Ratio = 5/3

|-

| Monzo = 0 -1 1

| | ~~JI Glyph of 5/3~~

| Cents = 884.35871

|}

| Name = major sixth

| Sound = jid_5_3_pluck_adu_dr220.mp3

| Color name =

}}

~~'''~~5/3~~'''~~

In [[5-limit]] [[Just Intonation]], 5/3 is a major sixth of about 884.4¢. It represents the difference between the 5th and 3rd overtones of the [[OverToneSeries|harmonic series]], and appears in just chords such as 3:4:5 (a 2nd inversion major triad). Its inversion is [[6/5]], the 5-limit minor third. It differs from the Pythagorean major sixth of [[27/16]] (about 905.9¢) by the syntonic comma of [[81/80]] (about 21.5¢). This means that in systems which temper out the syntonic comma, such as [[12edo]] and [[meantone]] systems, 5/3 and [[27/16]] are conflated.

|0 -~~1 1>~~

~~884.35871 cents~~

5/3 has a more mellow sound than 27/16, owing to its relative smallness.

~~[[File:jid_5_3_pluck_adu_dr220.mp3]] [[:File:jid_5_3_pluck_adu_dr220.mp3|sound sample]]~~

~~In [[5-limit|5-limit]] [[Just_intonation|Just Intonation]],~~ 5/3 is a major sixth of about 884.4¢. It represents the difference between the 5th and 3rd overtones of the [[OverToneSeries|harmonic series]], and appears in just chords such as 3:4:5 (a 2nd inversion major triad). Its inversion is [[6/5|6/5]], the 5-limit minor third. It differs from the Pythagorean major sixth of [[27/16|27/16~~]] (about 905.9¢) by the syntonic comma of [[81/80|81/80]] (about 21.5¢). This means that in systems which temper out the syntonic comma~~, ~~such as [[12edo|12edo]] and [[Meantone|meantone]] systems, 5/3 and 27/16 are conflated~~.

~~5/3 has a more mellow sound than 27/16, owing to its relative smallness.~~

See: [[Gallery of Just Intervals]]

~~See: [[Gallery_of_Just_Intervals|Gallery of Just Intervals]]~~ [[Category:5-limit]]

[[Category:5-limit]]

[[Category:interval]]

[[Category:just_interval]]

[[Category:ratio]]

@@ Line 1: / Line 1: @@
-{| class="wikitable"
+{{Infobox Interval
-|-
+| Icon = [[File:glyph_5_3.png|124px]] <small><br/>[[JI glyphs|JI glyph]]</small>
-| | [[File:glyph_5_3.png|alt=glyph 5 3.png|111x113px|glyph 5 3.png]]
+| Ratio = 5/3
-|-
+| Monzo = 0 -1 1
-| | JI Glyph of 5/3
+| Cents = 884.35871
-|}
+| Name = major sixth
+| Sound = jid_5_3_pluck_adu_dr220.mp3
+| Color name =
+}}
-'''5/3'''
+In [[5-limit]] [[Just Intonation]], 5/3 is a major sixth of about 884.4¢. It represents the difference between the 5th and 3rd overtones of the [[OverToneSeries|harmonic series]], and appears in just chords such as 3:4:5 (a 2nd inversion major triad). Its inversion is [[6/5]], the 5-limit minor third. It differs from the Pythagorean major sixth of [[27/16]] (about 905.9¢) by the syntonic comma of [[81/80]] (about 21.5¢). This means that in systems which temper out the syntonic comma, such as [[12edo]] and [[meantone]] systems, 5/3 and [[27/16]] are conflated.
-|0 -1 1&gt;
-.35871 cents
+/3 has a more mellow sound than 27/16, owing to its relative smallness.
-[[File:jid_5_3_pluck_adu_dr220.mp3]] [[:File:jid_5_3_pluck_adu_dr220.mp3|sound sample]]
-In [[5-limit|5-limit]] [[Just_intonation|Just Intonation]], 5/3 is a major sixth of about 884.4¢. It represents the difference between the 5th and 3rd overtones of the [[OverToneSeries|harmonic series]], and appears in just chords such as 3:4:5 (a 2nd inversion major triad). Its inversion is [[6/5|6/5]], the 5-limit minor third. It differs from the Pythagorean major sixth of [[27/16|27/16]] (about 905.9¢) by the syntonic comma of [[81/80|81/80]] (about 21.5¢). This means that in systems which temper out the syntonic comma, such as [[12edo|12edo]] and [[Meantone|meantone]] systems, 5/3 and 27/16 are conflated.
-/3 has a more mellow sound than 27/16, owing to its relative smallness.
+See: [[Gallery of Just Intervals]]
-See: [[Gallery_of_Just_Intervals|Gallery of Just Intervals]]      [[Category:5-limit]]
+[[Category:5-limit]]
 [[Category:interval]]
 [[Category:just_interval]]
 [[Category:ratio]]