64/39
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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]\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]\sqrt{nd}[/math])
~4.26101 bits
[sound info]
open this interval in xen-calc
| Interval information |
octave-reduced 39th subharmonic
reduced subharmonic
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
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
- 39/32 – its octave complement
- 13/8 – the lesser tridecimal neutral sixth
- Gallery of just intervals