6:7:9:10

6:7:9:10 is the harmonic sixth chord. It is the inverse of 70:90:105:126, the subharmonic seventh chord. It can be found by inflecting both 6/5 and 12/7 of the subharmonic sixth chord down by 36/35. See also its homonym 5:6:7:9, a half-diminished seventh chord.

Chord information

Harmonics	6:7:9:10
Subharmonics	1/(105:90:70:63)
Intervals from root	1/1–7/6–3/2–5/3
Cents from root	0¢–267¢–702¢–884¢
Step intervals	7/6, 9/7, 10/9
Step cents	267¢, 435¢, 182¢
Color names	zo yo-6 or z,y6 har-6 or h6
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; …