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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. In close voicing root position it | '''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 is an [[Delta-rational chord #Isoharmonic chord|isoharmonic chord]]. | ||
== Audio of close voicings == | == Audio of close voicings == | ||
[[File:SculpEufaDem4-5-6-onD.mp3|none|thumb|4:5:6, Root position]] | [[File:SculpEufaDem4-5-6-onD.mp3|none|thumb|4:5:6, Root position]] | ||
[[File:SculpEufaDem5-6-8-onD.mp3|none|thumb|5:6:8, 1st inversion]][[File:SculpEufaDem3-4-5-onD.mp3|none|thumb|3:4:5, 2nd inversion]] | [[File:SculpEufaDem5-6-8-onD.mp3|none|thumb|5:6:8, 1st inversion]][[File:SculpEufaDem3-4-5-onD.mp3|none|thumb|3:4:5, 2nd inversion]] | ||
== Notable voicings == | == Notable voicings == | ||
Voicings are arranged from simple to complex using [[Wilson norm]]. 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 | ||
![[Kite's thoughts on hi-lo notation|Hi-lo name]] | ! [[Kite's thoughts on hi-lo notation|Hi-lo name]] | ||
!Special properties | ! Special properties | ||
|- | |- | ||
| rowspan="4" |3 voices | | rowspan="4" |3 voices | ||
|1:3:5 | | 1:3:5 | ||
|hi3loR | | hi3loR | ||
|AOV, [[Delta-rational chord#Isoharmonic chord|isoharmonic]] | | AOV, [[Delta-rational chord #Isoharmonic chord|isoharmonic]] | ||
|- | |- | ||
|2:3:5 | | 2:3:5 | ||
|hi3 | | hi3 | ||
|CAOV | | CAOV | ||
|- | |- | ||
|3:4:5 | | 3:4:5 | ||
|lo5 | | lo5 | ||
|1st inversion, isoharmonic | | 1st inversion, isoharmonic | ||
|- | |- | ||
|4:5:6 | | 4:5:6 | ||
|basic | | basic | ||
|isoharmonic | | isoharmonic | ||
|- | |- | ||
| rowspan="4" |4 voices | | rowspan="4" |4 voices | ||
|2:3:'''4''':5 | | 2:3:'''4''':5 | ||
|hi3add8 | | hi3add8 | ||
|isoharmonic | | isoharmonic | ||
|- | |- | ||
|2:'''4''':5:6 | | 2:'''4''':5:6 | ||
|addloR | | addloR | ||
| | | | ||
|- | |- | ||
|3:4:5:'''6''' | | 3:4:5:'''6''' | ||
|addlo5 | | addlo5 | ||
|isoharmonic | | isoharmonic | ||
|- | |- | ||
|4:5:6:'''8''' | | 4:5:6:'''8''' | ||
|add8 | | add8 | ||
| | | | ||
|} | |} | ||
== Related chords == | == Related chords == | ||
Melodic inversion: 6:5:4 = [[10:12:15]]. | Melodic inversion: 1/(6:5:4) = [[10:12:15]]. | ||
Plausible [[ | Plausible [[chord homonym|homonyms]]: None. | ||
Lower limit soundalikes: [[64:81:96]] (3-limit) | Lower limit soundalikes: [[64:81:96]] (3-limit) | ||
Notable extensions (5-limit except where noted): | Notable extensions (5-limit except where noted): | ||
* [[12:15:18:20]] | * [[12:15:18:20]] – adds 5/3 | ||
* [[8:10:12:15]] | * [[8:10:12:15]] – adds 15/8 | ||
* [[36:45:54:64]] | * [[36:45:54:64]] – adds 16/9 | ||
* [[20:25:30:36]] | * [[20:25:30:36]] – adds 9/5 | ||
* [[4:5:6:7]] | * [[4:5:6:7]] – adds 7/4 (7-limit) | ||
[[Category:Major triads|#]] <!-- 1-digit first number --> | [[Category:Major triads|#]] <!-- 1-digit first number --> | ||