64/39: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Ratio = 64/39
| Name = greater tridecimal neutral sixth, octave-reduced 39th subharmonic
| 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
}}
}}
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* [[Gallery of just intervals]]
* [[Gallery of just intervals]]


[[Category:13-limit]]
[[Category:Sixth]]
[[Category:Sixth]]
[[Category:Neutral sixth]]
[[Category:Neutral sixth]]
[[Category:Octave-reduced subharmonics]]

Revision as of 16:38, 25 October 2022

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

[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

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