10:12:15:18

10:12:15:18 is a minor seventh chord found on the iii (5⁄4) and vi (5⁄3) of Ptolemy's intense diatonic scale (Zarlino), perhaps the most common 5-limit diatonic. See also its homonym 12:15:18:20 (1/1–5/4–3⁄2–5/3), an added sixth chord.

Chord information

Harmonics	10:12:15:18
Subharmonics	1/(18:15:12:10)
Intervals from root	1/1–6/5–3/2–9/5
Cents from root	0¢–316¢–702¢–1018¢
Step intervals	6/5, 5/4, 6/5
Step cents	316¢, 386¢, 316¢
Color name	gu-7 or g7
Prime limit	5
Genus	32⋅5 (45)
Intervallic odd limit	9
Otonal odd limit	15
Utonal odd limit	15
Consistent edos (d ≥ 2)	12edo*, 19edo**, 34edo*, 38edo*, …
* 2 ≤ d < 4; ** 4 ≤ d < 8; *** 8 ≤ d < 16; …