45:54:64:80

45:54:64:80 is a half-diminished seventh chord found on vii (15⁄8) in Ptolemy's intense diatonic scale (Zarlino), perhaps the most common 5-limit diatonic. It is also found on V (3⁄2) in the duodene.

Chord information

Harmonics	45:54:64:80
Subharmonics	1/(192:160:135:108)
Intervals from root	1/1–6/5–64/45–16/9
Cents from root	0¢–316¢–610¢–996¢
Step intervals	6/5, 32/27, 5/4
Step cents	316¢, 294¢, 386¢
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; …