10:13:15

Chord information
Harmonics	10:13:15
Subharmonics	1/(39:30:26)
Intervals from root	1/1–13/10–3/2
Cents from root	0¢–454¢–702¢
Step intervals	13/10, 15/13
Step cents	454¢, 248¢
Prime limit	13
Genus	3⋅5⋅13 (195)
Intervallic odd limit	15
Otonal odd limit	15
Utonal odd limit	39
Consistent edos (d ≥ 2)	5edo*, 10edo, 19edo, 24edo*, …
	* 2 ≤ d < 4; 4 ≤ d < 8; * 8 ≤ d < 16; …

10:13:15, also known as the barbados triad, is a triad in 13-limit just intonation. It is formed by stacking a 13/10 ultramajor third and a 15/13 inframinor third. In terms of harmonics, it is only slightly more complex than 10:12:15, the classical minor triad. It can thus be used as a basis for harmony, for example in barbados temperament.

10:13:15

See also