36:45:54:64

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Chord information
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 32) 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.