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 the otonal major triad, also known as the classical major triad, Ptolemaic major triad, or more generally - albeit less precisely - as the just major triad. It is among the most consonant triads, and it is among the most common triads in music.

In counterpoint and some derived theories (but not necessarily modern pop or xenharmonic theory), its most concordant rotation, 3:4:5, is not typically considered to be consonant, as the fourth above the root is considered a dissonance (due to the fifth-centric nature of counterpoint).

Rotations around the octave

3:4:5, "2nd inversion"

4:5:6, "Root position"

5:6:8, "1st inversion"

Voicings and rotations around two octaves

Voicing Rotation	Root	'3	'5	'3'5
On 1	4:5:6	4:5:12	2:3:5	2:5:6
On 3	3:8:10	3:4:5	3:5:8	3:4:10
On 5	5:6:16	5:12:16	5:8:12	5:6:8

Related chords

Chords related to this triad (5-limit except where noted):

• 10:12:15 - chord inversion
• 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)