4:5:6:9

4:5:6:9 is a just chord found on the I (1⁄1), III (5⁄4), V (3⁄2), and IX (9⁄4) of Ptolemy's intense diatonic scale (Zarlino), perhaps the most common 5-limit diatonic.

Chord information

Harmonics	4:5:6:9
Subharmonics	1/(45:36:30:20)
Intervals from root	1/1–5/4–3/2–9/4
Cents from root	0¢–386¢–702¢–1404¢
Step intervals	5/4, 6/5, 3/2
Step cents	386¢, 316¢, 702¢
Color name	yo add-9 or y,9
Prime limit	5
Genus	32⋅5 (45)
Intervallic odd limit	9
Otonal odd limit	9
Utonal odd limit	45
Consistent edos (d ≥ 2)	12edo*, 19edo*, 34edo*, 41edo*, …
* 2 ≤ d < 4; ** 4 ≤ d < 8; *** 8 ≤ d < 16; …

See also

• 8:10:12:15:18

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