4:5:6

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; …

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 isoharmonic chord.

Audio of close voicings

4:5:6, Root position

5:6:8, 1st inversion

3:4:5, 2nd inversion

Notable voicings

Voicings are arranged from simple to complex using Wilson norm. AOV and CAOV stand for 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.

Voices	EFR	Hi-lo name	Special properties
3 voices	1:3:5	hi3loR	AOV, isoharmonic
	2:3:5	hi3	CAOV
	3:4:5	lo5	1st inversion, isoharmonic
	4:5:6	basic	isoharmonic
4 voices	2:3:4:5	hi3add8	isoharmonic
	2:4:5:6	addloR
	3:4:5:6	addlo5	isoharmonic
	4:5:6:8	add8

Related chords

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

Plausible homonyms: None.

Lower limit soundalikes: 64:81:96 (3-limit)

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)