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


== See also ==
== See also ==

Latest revision as of 15:20, 8 January 2025

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

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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