13/9: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Icon =
| Ratio = 13/9
| Ratio = 13/9
| Monzo = 0 -2 0 0 0 1
| Monzo = 0 -2 0 0 0 1
| Cents = 636.61766
| Cents = 636.61766
| Name = tridecimal diminished fifth, <br> high tritone
| Name = tridecimal diminished fifth, <br>high tritone
| Color name = 3o5, tho 5th
| Color name = 3o5, tho 5th
| FJS name = d5<sup>13</sup>
| FJS name = d5<sup>13</sup>
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}}
}}


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 overtones of the [[Overtone series|harmonic series]]. Its inversion is [[18/13]], a low tritone.
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 ==
== See also ==
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[[Category:13-limit]]
[[Category:13-limit]]
[[Category:Interval]]
[[Category:Just interval]]
[[Category:Ratio]]
[[Category:Tritone]]
[[Category:Tritone]]
[[Category:Pages with internal sound examples]]
[[Category:Pages with internal sound examples]]

Revision as of 19:47, 12 December 2021

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 norm (log2 nd) 6.87036
Weil norm (log2 max(n, d)) 7.40088
Wilson norm (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