45:54:64:81

Chord information

Harmonics	45:54:64:81
Subharmonics	1/(576:480:405:320)
Intervals from root	1/1 – 6/5 – 64/45 – 9/5
Cents from root	0¢ 316¢ 610¢ 1018¢
Step intervals	6/5, 32/27, 81/64
Step cents	316¢, 294¢, 408¢
Color name	gu-7 gu-5 or g7(g5)
Prime limit	5
Genus	34 ⋅ 5 (405)
Intervallic odd limit	81
Otonal odd limit	81
Utonal odd limit	405
Consistent edos (d≥2)	12edo*, 41edo*, 53edo**, 65edo**
* 2≤d<4; ** 4≤d<8; *** 8≤d<16; …

45:54:64:81 is a half-diminished seventh chord.

Although it has a relatively high odd limit for such a chord, this particular tuning of the chord is notable for being both a preimage of the half-diminished seventh chord in meantone temperaments (including 12edo and quarter-comma meantone), and tempered together with the vastly simpler 5:6:7:9 in archytas temperament (also supported by 12edo).