8:10:13

Chord information

Harmonics	8:10:13
Subharmonics	1/(65:52:40)
Intervals from root	1/1–5/4–13/8
Cents from root	0¢–386¢–841¢
Step intervals	5/4, 13/10
Step cents	386¢, 454¢
Color names	yo tho6 no5 y,3o6no5 y(3oq5)
Prime limit	13
Genus	5⋅13 (65)
Intervallic odd limit	13
Otonal odd limit	13
Utonal odd limit	65
Consistent edos (d ≥ 2)	3edo*, 10edo*, 13edo*, 16edo*, …
* 2 ≤ d < 4; ** 4 ≤ d < 8; *** 8 ≤ d < 16; …

8:10:13 is an otonal chord. It sort of sounds like an augmented fifth chord, though 13/8 is not usually considered an augmented fifth on its own, as it is often deemed a hyperminor sixth or a neutral sixth.

It is one of the easiest to use in the 13-limit, due to the triadic-like structure, the wide spacing of the intervals, and the 5/4 anchor, compared to other 13-limit chords that are more cluttered or xenharmonic like 8:12:13, or 8:11:13.

Audio of close voicings

8:10:13

10:13:16

13:16:20

Notable voicings

Voices	EFR	Hi-lo name	Special properties
3 voices	1:5:13	hi3loRhihi6	AOV
	4:13:20	hi3	CAOV
	8:10:13	basic	root position
	10:13:16	hiR	first inversion, isoharmonic
4 voices	8:10:13:16	hi3add8
	4:10:13:16	loRadd8

Related chords

Plausible homonyms: all, min6 no5 or aug5 chords.

Notable extensions:

• 4:5:7:13 (adds 7/4)
• 4:5:6:13 (adds 3/2)
• 4:5:6:7:13 (adds 3/2, 7/4)

Similar chords:

• 8:11:13 (substitutes 5/4 for 11/8)
• 8:12:13 (substitutes 5/4 for 3/2)

Lower limit soundalikes:

• 20:25:32:40 (5-limit)
• 7:9:11 (11-limit)

Higher limit soundalikes:

• 11:14:17 (17-limit)