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.

Audio of close voicings

4:5:6, Root position

5:6:8, 1st inversion

3:4:5, 2nd inversion

Notable voicings

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

3 voices:

• 4:5:6 - close voicing
• 2:3:5 - hi3, CAOV
• 1:3:5 - hi3loR, AOV
• 3:4:5 - lo5 or 2nd inversion

4 voices:

• 4:5:6:8 - add8
• 2:3:4:5 - hi3add8
• 2:4:5:6 - addloR
• 3:4:5:6 - addlo5

Related chords

Melodic inversion: 6:5:4 = 10:12:15.

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)