64/39: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Icon =
| Name = greater tridecimal neutral sixth, octave-reduced 39th subharmonic
| Ratio = 64/39
| Color name = 3u6, thu 6th
| Monzo = 6 -1 0 0 0 1
| Cents = 857.51734
| Name = greater tridecimal neutral sixth, <br>octave-reduced 39th subharmonic
| Color name =  
| FJS name = M6<sub>13</sub>
| Sound = Ji-64-39-csound-foscil-220hz.mp3
| Sound = Ji-64-39-csound-foscil-220hz.mp3
}}
}}
'''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 sixth found in [[7edo]] and its supersets.
 
64/39 is a fraction of a cent away from the neutral third found in the 7''n'' family of edos.  


== See also ==
== See also ==
* [[39/32]] – its octave complement
* [[39/32]] – its octave complement
* [[13/8]] – the lesser tridecimal neutral sixth
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]


[[Category:13-limit]]
[[Category:Interval ratio]]
[[Category:Sixth]]
[[Category:Sixth]]
[[Category:Neutral sixth]]
[[Category:Neutral sixth]]
[[Category:Listen]]
[[Category:Subharmonic]]
[[Category:Todo:expand]]
[[Category:Todo:improve synopsis]]

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

[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 sixth found in 7edo and its supersets.

See also

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