In
just intonation, a minor chord is tuned in the frequency ratio 10:12:15, reflecting an appearance of the minor chord in the
harmonic series. The ratio was refined to 10/9:4/3:5/3 by
Ben Johnston. In a just scale, the triad appears on
iii, vi, vi, iii, and vii. A justly tuned perfect fifth is 702
cents, compared to 700 in
equal temperament. The just minor third is 316 cents, where the equal interval is 300. • 6:7:9 • The Pythagorean minor triad: 54:64:81. He pointed out that overtones 10, 12, 15, and 18 of the harmonic series form a minor seventh chord. ==See also==