5:6:7:9

From Xenharmonic Wiki
Jump to navigation Jump to search
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¢
Prime limit 7
Genus 32 ⋅ 5 ⋅ 7 (315)
Intervallic odd limit 9
Otonal odd limit 9
Utonal odd limit 105

5:6:7:9 is a concordant 7-limit interpretation of the half-diminished seventh chord found in the Ringer 5 scale.

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