12:15:19

Chord information

Harmonics	12:15:19
Subharmonics	1/(95:76:60)
Intervals from root	1/1–5/4–19/12
Cents from root	0¢–386¢–796¢
Step intervals	5/4, 19/15
Step cents	386¢, 409¢
Prime limit	19
Genus	3⋅5⋅19 (285)
Intervallic odd limit	19
Otonal odd limit	19
Utonal odd limit	95
Consistent edos (d ≥ 2)	3edo***, 6edo**, 9edo**, 12edo*, …
* 2 ≤ d < 4; ** 4 ≤ d < 8; *** 8 ≤ d < 16; …

12:15:19, the novemdecimal augmented triad, is the best approximation of the western augmented triad within the 19-odd-limit. The highest error within the chord is a mere 14 cents (by the 5/4 major third), making it very close to 12edo. Additionally, its augmented fifth is 19/18 away from the 3/2 perfect fifth in the 4:5:6 major triad, making it an option for satisfying resolution in JI.