13/9: Difference between revisions

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'''13/9'''
{{Infobox Interval
|0 -2 0 0 0 1>
| Name = tridecimal diminished fifth, high tritone
| Color name = 3o5, tho 5th
| Sound = jid_13_9_pluck_adu_dr220.mp3
}}


636.61766 cents
In [[13-limit]] [[just intonation]], '''13/9''', the '''tridecimal diminished fifth''' is a '''high [[tritone]]''' measuring about 636.6¢. It appears between the 9th and 13th harmonics of the [[harmonic series]]. Its inversion is [[18/13]], a low tritone.


[[File:jid_13_9_pluck_adu_dr220.mp3]] [[:File:jid_13_9_pluck_adu_dr220.mp3|sound sample]]
== See also ==


In [[13-limit|13-limit]] [[Just_intonation|Just Intonation]], 13/9 is a high tritone measuring about 636.6¢. Its inversion is [[18/13|18/13]], a low tritone. It appears between the 9th and 13th overtones of the [[OverToneSeries|harmonic series]].
* [[18/13]] – its [[octave complement]]
* [[27/26]] – its [[fifth complement]]
* [[Gallery of just intervals]]


See: [[Gallery_of_Just_Intervals|Gallery of Just Intervals]]      [[Category:13-limit]]
[[Category:Tritone]]
[[Category:15-limit]]
[[Category:15-limit-diamond]]
[[Category:interval]]
[[Category:just_interval]]
[[Category:ratio]]
[[Category:tritone]]

Latest revision as of 12:21, 25 October 2022

Interval information
Ratio 13/9
Factorization 3-2 × 13
Monzo [0 -2 0 0 0 1⟩
Size in cents 636.6177¢
Names tridecimal diminished fifth,
high tritone
Color name 3o5, tho 5th
FJS name [math]\displaystyle{ \text{d5}^{13} }[/math]
Special properties reduced
Tenney height (log2 nd) 6.87036
Weil height (log2 max(n, d)) 7.40088
Wilson height (sopfr(nd)) 19

[sound info]
Open this interval in xen-calc

In 13-limit just intonation, 13/9, the tridecimal diminished fifth is a high tritone measuring about 636.6¢. It appears between the 9th and 13th harmonics of the harmonic series. Its inversion is 18/13, a low tritone.

See also

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