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
Consistent edos (d≥2)
12edo*, 41edo*, 53edo**, 65edo**
| Chord information |
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.