64/43

Interval information

Ratio	64/43
Subgroup monzo	2.43 [6 -1⟩
Size in cents	688.4823¢
Name	prime subharmonic fifth
Color name	fothu 5th, 43u5
FJS name	[math]\displaystyle{ \text{P5}_{43} }[/math]
Special properties	reduced, reduced subharmonic
Tenney height (log2 nd)	11.4263
Weil height (log2 max(n, d))	12
Wilson height (sopfr(nd))	55
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~3.92318 bits
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64/43, the prime subharmonic fifth is a narrow fifth close to those of 7edo and 26edo, and, is the first octave-reduced subharmonic that is a diatonic fifth. This interval is useful for describing dual-fifth regular temperaments where the sharp fifth is significantly closer to 3/2 than the flat fifth, by mapping the flat fifth to 64/43 and sharp fifth to 3/2.

See also

• 43/32 – its octave complement
• Gallery of just intervals