4:5:6:7

4:5:6:7 (1⁄1–5⁄4–3⁄2–7⁄4), the harmonic seventh chord, is a consonant tetrad in 7-limit harmony, often used as a tuning target for the dominant seventh chord in barbershop music[1].

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harmonic seventh chord

Chord information

Harmonics	4:5:6:7
Subharmonics	1/(105:84:70:60)
Intervals from root	1/1–5/4–3/2–7/4
Cents from root	0¢–386¢–702¢–969¢
Step intervals	5/4, 6/5, 7/6
Step cents	386¢, 316¢, 267¢
Prime limit	7
Genus	3⋅5⋅7 (105)
Intervallic odd limit	7
Otonal odd limit	7
Utonal odd limit	105
Consistent edos (d ≥ 2)	31edo*, 41edo*, 68edo*, 72edo*
* 2 ≤ d < 4; ** 4 ≤ d < 8; *** 8 ≤ d < 16; …

It is a dyadic chord in the 7-odd limit, with its most complex interval a 7/5 tritone.