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 found in the Ringer 5 scale. See also its homonym 6:7:9:10, a minor sixth chord.

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

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