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¢
Color name	yo add-7 or y,7
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; …

36:45:54:64 is a dominant seventh chord found on the dominant scale degree (V or 3⁄2) 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 (3-limit) minor seventh, creating a 64/45 tritone between the two.

In the meantone tuning of this chord, the ~16/9 minor seventh is equated with ~9/5, making it equivalent to the meantone tuning of 20:25:30:36.