5:6:7

Chord information

Harmonics	5:6:7
Subharmonics	1/(42:35:30)
Intervals from root	1/1 – 6/5 – 7/5
Cents from root	0¢ 316¢ 583¢
Step intervals	6/5, 7/6
Step cents	316¢, 267¢
Color name	gu zogu-5 or g(zg5)
Prime limit	7
Genus	3 ⋅ 5 ⋅ 7 (105)
Intervallic odd limit	7
Otonal odd limit	7
Utonal odd limit	35
Consistent edos (d≥2)	4edo**, 8edo*, 19edo*, 23edo*, …
* 2≤d<4; ** 4≤d<8; *** 8≤d<16; …

5:6:7 is a diminished triad found as an upper structure of 4:5:6:7, the harmonic seventh chord. As a 7-odd-limit otonal chord, this is the most consonant JI tuning of a diminished triad.

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