64/39
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Ratio | 64/39 |
Factorization | 2^{6} × 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 (log_{2} 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
- 39/32 – its octave complement
- 13/8 – the lesser tridecimal neutral sixth
- Gallery of just intervals