5:6:7:9

5:6:7:9 is a concordant 7-limit interpretation of the half-diminished seventh chord.

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¢
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; …

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