64/39

Interval information

Ratio	64/39
Factorization	26 × 3-1 × 13-1
Monzo	[6 -1 0 0 0 -1⟩
Size in cents	857.5173¢
Names	greater tridecimal neutral sixth, octave-reduced 39th subharmonic
Color name	3u6, thu 6th
FJS name	[math]\displaystyle{ \text{M6}_{13} }[/math]
Special properties	reduced, reduced subharmonic
Tenney height (log2 nd)	11.2854
Weil height (log2 max(n, d))	12
Wilson height (sopfr(nd))	28
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.26101 bits
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64/39, the (greater) tridecimal neutral sixth, is the utonal combination of primes 13 and 3, octave-reduced. It is the inverse of 39/32, the lesser tridecimal neutral third.

64/39 is a fraction of a cent away from the neutral sixth found in 7edo and its supersets.

See also

• 39/32 – its octave complement
• 13/8 – the lesser tridecimal neutral sixth
• Gallery of just intervals