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.

Its most consonant rotation, 3:4:5, is not typically considered to be consonant, at least in more classical tonal music, where the fourth above the root is considered a dissonance. Acoustically speaking however, 3:4:5 has the least harmonic entropy.

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

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)