140:180:210:252:315

Chord information

Harmonics	140:180:210:252:315
Subharmonics	1/(9:7:6:5:4)
Intervals from root	1/1–9/7–3/2–9/5–9/4
Cents from root	0¢–435¢–702¢–1018¢–1404¢
Step intervals	9/7, 7/6, 6/5, 5/4
Step cents	435¢, 267¢, 316¢, 386¢
Color names	ru gu-7 add-9 or r,g7,9 sub-9 or s9
Prime limit	7
Genus	32⋅5⋅7 (315)
Intervallic odd limit	9
Otonal odd limit	315
Utonal odd limit	9
Consistent edos (d ≥ 1.5)	31edo, 41edo*, 46edo, 53edo, …
* 2 ≤ d < 4; ** 4 ≤ d < 8; *** 8 ≤ d < 16; …

140:180:210:252:315 is a septimal dominant ninth chord. It is the inverse of 4:5:6:7:9, and can serve as the fundamental utonal consonance of the 9-odd-limit, with many chords being a subset of it or one of its inversions. Its otonal inverse, 4:5:6:7:9, can also be seen as a fundamental chord, and subsets can be taken out of it as well. The 1/(9:7:6:5:4) chord can be modified to get its otonal inverse by inflecting both the third and seventh down by 36/35, so the third becomes 5/4 and the seventh 7/4.

See also

• Its homonym 210:252:315:360:560