45:54:64:80

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; …

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.

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