10:12:15

10:12:15 is the just minor triad, also known as the Ptolemaic minor triad.

Chord information

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

Common tetrads based on this triad (5-limit except where noted):

• 10:12:15:18 adds 9/5
• 30:36:45:50 adds 5/3
• 70:84:105:120 (12:10:8:7) adds 12/7 (7-limit)