5:6:7:9

Chord information

Harmonics	5:6:7:9
Subharmonics	1/(126:105:90:70)
Intervals from root	1/1–6/5–7/5–9/5
Cents from root	0¢–316¢–583¢–1018¢
Step intervals	6/5, 7/6, 9/7
Step cents	316¢, 267¢, 435¢
Color name	gu-7 zogu-5 or g7(zg5)
Prime limit	7
Genus	32⋅5⋅7 (315)
Intervallic odd limit	9
Otonal odd limit	9
Utonal odd limit	105
Consistent edos (d ≥ 2)	19edo*, 27edo*, 41edo*, 72edo**
* 2 ≤ d < 4; ** 4 ≤ d < 8; *** 8 ≤ d < 16; …

5:6:7:9 is a concordant 7-limit interpretation of the half-diminished seventh chord. It can be thought of as the rootless version of the harmonic ninth chord, 4:5:6:7:9. It is found in the Ringer 5 scale. See also its homonym 6:7:9:10, a minor-major sixth chord.

In archytas temperament, this chord is tempered together with 45:54:64:81.