45:54:64:81
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| 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¢ |
| Prime limit | 5 |
| Genus | 34 ⋅ 5 (405) |
| Intervallic odd limit | 81 |
| Otonal odd limit | 81 |
| Utonal odd limit | 405 |
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).