6:7:8:9

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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*, …

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