4:5:6

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.

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**, …
* 2 ≤ d < 4; ** 4 ≤ d < 8; *** 8 ≤ d < 16; …

Audio of close voicings

4:5:6, Root position

5:6:8, 1st inversion

3:4:5, 2nd inversion

Notable voicings

Voicings written in enumeration and written Hi-lo notation. AOV and CAOV stand for all-odd voicing and condensed AOV respectively ^{[idiosyncratic term]} . Integers in bold denote the pitch-classes of the chord.

Voices	Enumeration	Hi-lo	Special properties
3 voices	1:3:5	hi3loR	AOV, isodifferential
	2:3:5	hi3	CAOV
	3:5:8	hiRlo5
4 voices	3:4:5:6	addlo5	isodifferential
	4:5:6:8	add8
	5:6:8:10	hiRaddhi3
	2:3:4:5	hi3add8	isodifferential
	2:4:5:6	addloR
	3:5:6:8	hiRaddlo5
	5:8:12:16	lo3addhi8
5 voices	2:3:4:5:6	addloR5	isodifferential
	4:5:6:8:10	addhiR3

See a more comprehensive list in this page.

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):

• 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)