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4:5:6: Difference between revisions

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Sintel (talk | contribs)
autopatrolled, emailconfirmed
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The "colon notation" is just a ratio
TallKite (talk | contribs)
autopatrolled, Sysops
4,192 edits
replaced isodifferential with the more exact isoharmonic. sorted the voicings list by wilson height. whittled it down to a more manageable size. will move the deleted voicings to the comprehensive voicings page. other changes too
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{{Infobox Chord|ColorName=yo or y}}
{{Infobox Chord|ColorName=yo or y}}
'''4:5:6''' is an otonal [[major triad]], known as the '''just major triad''', '''classical major triad''', or '''Ptolemaic major triad'''. It is the most consonant triad, and it is the most common triad in music. It is also an [[isodifferential]] chord.  
'''4:5:6''' is an otonal [[major triad]], known as the '''just major triad''', '''classical major triad''', or '''Ptolemaic major triad'''. It is the most consonant triad, and it is the most common triad in music. In close voicing root position it's an [[Delta-rational chord#Isoharmonic chord|isoharmonic]] chord.  


== Audio of close voicings ==
== Audio of close voicings ==
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== Notable voicings ==
== Notable voicings ==


Voicings written as a ratio and in [[Kite's thoughts on hi-lo notation|Hi-lo notation]]. AOV and CAOV stand for [[Odd limit#Proposed extensions|all-odd voicing]] and ''condensed'' AOV respectively {{idiosyncratic}} . Integers in '''bold''' denote the pitch-classes of the chord.
Voicings are arranged from simple to complex using [[Wilson norm#Example|Wilson height]]. AOV and CAOV stand for [[Odd limit#Proposed extensions|all-odd voicing]] and ''condensed'' AOV respectively. Numbers in '''bold''' denote doubled pitches. This list is only a brief overview, see [[Voicings of 4:5:6]] for a more comprehensive list.
{| class="wikitable"
{| class="wikitable"
!Voices
!Voices
!Ratio
!Ratio
!Hi-lo
![[Kite's thoughts on hi-lo notation|Hi-lo notation]]
!Special properties
!Special properties
|-
|-
| rowspan="3" |3 voices
| rowspan="4" |3 voices
|'''1:3:5'''
|1:3:5
|hi3loR
|hi3loR
|AOV, isodifferential
|AOV, [[Delta-rational chord#Isoharmonic chord|isoharmonic]]
|-
|-
|'''2:3:5'''
|2:3:5
|hi3
|hi3
| rowspan="2" |CAOV
|CAOV
|-
|-
|'''3:5:8'''
|3:4:5
|hiRlo5
|lo5
|1st inversion, isoharmonic
|-
|-
| rowspan="7" |4 voices
|4:5:6
|3:'''4:5:6'''
|basic
|addlo5
|isoharmonic
|isodifferential
|-
|'''4:5:6''':8
|add8
|
|-
|-
|'''5:6:8''':10
| rowspan="4" |4 voices
|hiRaddhi3
|2:3:'''4''':5
|
|-
|'''2:3''':4:'''5'''
|hi3add8
|hi3add8
|isodifferential
|isoharmonic
|-
|-
|2:'''4''':'''5:6'''
|2:'''4''':5:6
|addloR
|addloR
|
|
|-
|-
|3:'''5:6:8'''
|3:4:5:'''6'''
|hiRaddlo5
|addlo5
|
|isoharmonic
|-
|-
|'''5:8:12''':16
|4:5:6:'''8'''
|lo3addhi8
|add8
|
|-
| rowspan="2" |5 voices
|2:3:'''4:5:6'''
|addloR5
|isodifferential
|-
|'''4:5:6''':8:10
|addhiR3
|
|
|}
|}
See a more comprehensive list [[Voicings of 4:5:6|in this page]].
== Related chords ==
== Related chords ==
Melodic inversion: 1/(6:5:4) = [[10:12:15]].
Melodic inversion: 6:5:4 = [[10:12:15]].


Plausible [[Chord homonym|homonyms]]: None.
Plausible [[Chord homonym|homonyms]]: None.


Lower limit soundalikes: [[64:81:96]] (3-limit) [Pythagorean major chord]
Lower limit soundalikes: [[64:81:96]] (3-limit)


Notable extensions (5-limit except where noted):
Notable extensions (5-limit except where noted):
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