6:7:8:9

Chord information

Harmonics	6:7:8:9
Subharmonics	1/(84:72:63:56)
Intervals from root	1/1 – 7/6 – 4/3 – 3/2
Cents from root	0¢ 267¢ 498¢ 702¢
Step intervals	7/6, 8/7, 9/8
Step cents	267¢, 231¢, 204¢
Color name	zo add-4 or z,4
Prime limit	7
Genus	32 ⋅ 7 (63)
Intervallic odd limit	9
Otonal odd limit	9
Utonal odd limit	63
Consistent edos (d ≥ 2)	5edo*, 36edo**, 41edo*, 53edo*, …
* 2 ≤ d < 4; ** 4 ≤ d < 8; *** 8 ≤ d < 16; …

6:7:8:9 is a subminor add-4 chord in the 7-limit and the 9-odd-limit. In other words, it has a shape similar to a minor add-4 chord, but with a subminor third instead of a minor third.

It can be constructed by stacking the intervals 7/6, 8/7 and 9/8 in that order, making it a stack of three consecutive superparticular intervals.

It is a subset of 5afdo. It is very approximated very well by 36edo, making it one of the most important consonant tetrads in 36edo harmony.

See also

• 4:6:7:9
• 5:6:7:9
• 6:7:9
• 6:7:9:10
• 6:8:9