4:5:6: Difference between revisions

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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.  
'''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.  


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


Voicings identified with [[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. Rotations not included.
Voicings identified with [[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.
{| class="wikitable"
{| class="wikitable"
|+
|+
!Voices
!Voices
!Extra odds
!Oct. duplicates
!Voicing
!Voicing
!Hi-lo
!Hi-lo
!Special properties
!Special properties
|-
|-
| colspan="2" rowspan="2" |3 voices
| colspan="2" rowspan="3" |3 voices
|1:3:5
|1:3:5
|hi3loR
|hi3loR
|AOV, [[Isodifferential chord|isodifferential]]
|AOV, isodifferential
|-
|-
|2:3:5
|2:3:5
|hi3
|hi3
|CAOV
| rowspan="2" |CAOV
|-
|-
| rowspan="4" |4 voices
|3:5:8
| rowspan="4" |1
|hi4
|-
| rowspan="7" |4 voices
|3
|3:4:5:6
| rowspan="3" |add8
|isodifferential
|-
|1
|4:5:6:8
|4:5:6:8
|add8
|
|
|-
|-
|5
|5:6:8:10
|
|-
| rowspan="2" |1
|2:3:4:5
|2:3:4:5
|hi3add8
|hi3add8
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|
|
|-
|-
|1:3:5:8
|3
|hi3loRadd15
|3:5:6:8
|hi4add8
|
|-
|5
|5:8:10:16
|hi3addhi6
|
|
|-
|-
|5 voices
|5 voices
|1,3
|1, 3
|2:3:4:5:6
|2:3:4:5:6
|addloR,lo5
|addloR,5
|isodifferential
|isodifferential
|}
|}

Revision as of 11:27, 21 November 2025

Chord information
Harmonics 4:5:6
Subharmonics 1/(15:12:10)
Intervals from root 1/1–5/4–3/2
Cents from root 0¢–386¢–702¢
Step intervals 5/4, 6/5
Step cents 386¢, 316¢
Color name yo or y
Prime limit 5
Genus 3⋅5 (15)
Intervallic odd limit 5
Otonal odd limit 5
Utonal odd limit 15
Consistent edos (d ≥ 2) 3edo*, 12edo*, 15edo*, 19edo**, …

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.

Audio of close voicings

4:5:6, Root position
5:6:8, 1st inversion
3:4:5, 2nd inversion

Notable voicings

Voicings identified with Hi-lo notation. AOV and CAOV stand for all-odd voicing and condensed AOV respectively.

Voices Oct. duplicates Voicing Hi-lo Special properties
3 voices 1:3:5 hi3loR AOV, isodifferential
2:3:5 hi3 CAOV
3:5:8 hi4
4 voices 3 3:4:5:6 add8 isodifferential
1 4:5:6:8
5 5:6:8:10
1 2:3:4:5 hi3add8 isodifferential
2:4:5:6 addloR
3 3:5:6:8 hi4add8
5 5:8:10:16 hi3addhi6
5 voices 1, 3 2:3:4:5:6 addloR,5 isodifferential

Related chords

Melodic inversion: 1/(6:5:4) = 10:12:15.

Plausible homonyms: None.

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

Notable extensions (5-limit except where noted):

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