36:45:54:64

Chord information

Harmonics	36:45:54:64
Subharmonics	1/(240:192:160:135)
Intervals from root	1/1–5/4–3/2–16/9
Cents from root	0¢–386¢–702¢–996¢
Step intervals	5/4, 6/5, 32/27
Step cents	386¢, 316¢, 294¢
Prime limit	5
Genus	33⋅5 (135)
Intervallic odd limit	45
Otonal odd limit	45
Utonal odd limit	135
Consistent edos (d ≥ 2)	12edo*, 41edo*, 53edo**, 65edo**
* 2 ≤ d < 4; ** 4 ≤ d < 8; *** 8 ≤ d < 16; …

The Ptolemaic dominant seventh chord, 36:45:54:64 or 1⁄1–5⁄4–3⁄2–16⁄9, is a dominant seventh chord found on the dominant scale degree (3⁄2 or V) of Ptolemy's intense diatonic scale (Zarlino), perhaps the most common 5-limit diatonic. It combines a 5/4 major third with a 16/9 Pythagorean minor seventh, creating a 64/45 tritone between the two.