11/7: Difference between revisions

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See also: +another sound example
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* [[14/11]] -- its octave complement
* [[14/11]] -- its octave complement
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]
* [[File:Ji-11-7-csound-foscil-220hz.mp3]] [[:File:Ji-11-7-csound-foscil-220hz.mp3|(info)]]


[[Category:11-limit]]
[[Category:11-limit]]

Revision as of 12:16, 6 September 2020

Interval information
Ratio 11/7
Factorization 7-1 × 11
Monzo [0 0 0 -1 1
Size in cents 782.492¢
Names undecimal subminor sixth,
undecimal augmented fifth
Color name 1or5, loru 5th
FJS name [math]\displaystyle{ \text{P5}^{11}_{7} }[/math]
Special properties reduced
Tenney norm (log2 nd) 6.26679
Weil norm (log2 max(n, d)) 6.91886
Wilson norm (sopfr(nd)) 18

[sound info]
Open this interval in xen-calc

In 11-limit just intonation, 11/7 is an undecimal (11-based) subminor sixth, measuring about 782.5¢ It is the inversion of 14/11, the undecimal supermajor third. Another subminor sixth is 14/9, at about 764.9¢; the interval between these is 99/98, about 17.6¢.

11/7 is 22/21 (about 80.5¢) above the 3/2 perfect fifth, allowing the possibility of a resolution down by a step from 11/7 to 3/2.

See also