36:45:54:64
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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 |
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.