10:12:15 is a 5-limit minor triad found on the iii (54) and vi (53) of Ptolemy's intense diatonic scale (Zarlino), perhaps the most common 5-limit diatonic.

Chord information
Harmonics 10:12:15
Subharmonics 1/(6:5:4)
Intervals from root 1/16/53/2
Cents from root 316¢702¢
Step intervals 6/5, 5/4
Step cents 316¢, 386¢
Prime limit 5
Genus 35 (15)
Intervallic odd limit 5
Otonal odd limit 15
Utonal odd limit 5
Consistent edos (d ≥ 2) 3edo*, 12edo*, 15edo*, 19edo**, …

Unlike the other 5-limit minor (27:32:40), 10:12:15 is utonal.