4:5:6: Difference between revisions

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'''4:5:6''' is the ~~classical~~ [[major triad]], also known as the '''Ptolemaic major triad''', or ~~imprecisely~~ as the '''just major triad'''. It is the most consonant ~~of all~~ the ~~just intonation [[Triad|~~triads]].

'''4:5:6''' is the otonal [[major triad]], also known as the '''classical''' '''major triad''', '''Ptolemaic major triad''', or more generally - albeit less precisely - as the '''just major triad'''. It is among the most consonant triads, and it is among the most common triads in music.

~~Common tetrads based on this triad (~~5~~-limit except~~ where ~~noted)~~:

Its most consonant rotation, 3:4:5, is not typically considered to be consonant, at least in more classical tonal music, where the fourth above the root is considered a dissonance. Acoustically speaking however, 3:4:5 has the least [[harmonic entropy]].

* [[12:~~15:18:20]] adds~~ 5/3

== Rotations around the octave ==

* [[8:10:~~12:15~~]] ~~adds 15/8~~

[[File:SculpEufaDem3-4-5-onD.mp3|none|thumb|3:4:5, "2nd inversion"]]

* [[36:45:54:64]] ~~adds 16/9~~

[[File:SculpEufaDem4-5-6-onD.mp3|none|thumb|4:5:6, "Root position"]]

* [[~~20:25:30:36]] adds 9/5~~

[[File:SculpEufaDem5-6-8-onD.mp3|none|thumb|5:6:8, "1st inversion"]]

* [[4:5:6:7]] ~~adds 7/4 (7-limit)~~

== Related chords ==

Chords related to this triad (5-limit except where noted):

* 2:3:5 - open voicing

* [[10:12:15]] - chord inversion

* [[12:15:18:20]] - adds 5/3

* [[8:10:12:15]] - adds 15/8

* [[36:45:54:64]] - adds 16/9

* [[20:25:30:36]] - adds 9/5

* [[4:5:6:7]] - adds 7/4 (7-limit)

[[Category:Major triads|#]]

@@ Line 1: / Line 1: @@
 {{Infobox Chord|ColorName=yo or y}}
-'''4:5:6''' is the classical [[major triad]], also known as the '''Ptolemaic major triad''', or imprecisely as the '''just major triad'''. It is the most consonant of all the just intonation [[Triad|triads]].
+'''4:5:6''' is the otonal [[major triad]], also known as the '''classical''' '''major triad''', '''Ptolemaic major triad''', or more generally - albeit less precisely - as the '''just major triad'''. It is among the most consonant triads, and it is among the most common triads in music.
-Common tetrads based on this triad (5-limit except where noted):
+Its most consonant rotation, 3:4:5, is not typically considered to be consonant, at least in more classical tonal music, where the fourth above the root is considered a dissonance. Acoustically speaking however, 3:4:5 has the least [[harmonic entropy]].
-* [[12:15:18:20]] adds 5/3
+== Rotations around the octave ==
-* [[8:10:12:15]] adds 15/8
+[[File:SculpEufaDem3-4-5-onD.mp3|none|thumb|3:4:5, "2nd inversion"]]
-* [[36:45:54:64]] adds 16/9
+[[File:SculpEufaDem4-5-6-onD.mp3|none|thumb|4:5:6, "Root position"]]
-* [[20:25:30:36]] adds 9/5
+[[File:SculpEufaDem5-6-8-onD.mp3|none|thumb|5:6:8, "1st inversion"]]
-* [[4:5:6:7]] adds 7/4 (7-limit)
+== Related chords ==
+Chords related to this triad (5-limit except where noted):
+* 2:3:5 - open voicing
+* [[10:12:15]] - chord inversion
+* [[12:15:18:20]] - adds 5/3
+* [[8:10:12:15]] - adds 15/8
+* [[36:45:54:64]] - adds 16/9
+* [[20:25:30:36]] - adds 9/5
+* [[4:5:6:7]] - adds 7/4 (7-limit)
+[[Category:Major triads|#]] <!-- 1-digit first number -->
 [[Category:Major triads|#]] <!-- 1-digit first number -->