64/39

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Interval information
Ratio 64/39
Factorization 26 × 3-1 × 13-1
Monzo [6 -1 0 0 0 -1
Size in cents 857.51734¢
Names greater tridecimal neutral sixth,
octave-reduced 39th subharmonic
Color name 3u6, thu 6th
FJS name [math]\text{M6}_{13}[/math]
Special properties reduced,
reduced subharmonic
Tenney height (log2 n⋅d) 11.2854
Weil height (max(n, d)) 64
Benedetti height (n⋅d) 2496
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~4.56029 bits

[sound info]
open this interval in xen-calc

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 third found in 7edo and its supersets.

See also