64/39: Difference between revisions

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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''', 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 the 7''n'' family of edos.  
64/39 is a fraction of a cent away from the neutral third found in the 7''n'' family of edos.  

Revision as of 12:25, 20 September 2020

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
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

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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 third found in the 7n family of edos.

See also