11/7: Difference between revisions

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'''11/7'''
{{Infobox Interval
|0 0 0 -1 1>
| Icon =
| Ratio = 11/7
| Monzo = 0 0 0 -1 1
| Cents = 782.49204
| Name = undecimal subminor sixth, <br> undecimal augmented fifth
| Color name = 1or5, loru 5th
| Sound = jid_11_7_pluck_adu_dr220.mp3
}}


782.49204 cents
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¢.


[[File:jid_11_7_pluck_adu_dr220.mp3]] [[:File:jid_11_7_pluck_adu_dr220.mp3|sound sample]]
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.


In [[11-limit|11-limit]] [[Just_intonation|Just Intonation]], 11/7 is an undecimal (11-based) subminor sixth, measuring about 782.5¢ It is the inversion of [[14/11|14/11]], the undecimal supermajor third. Another subminor sixth is [[14/9|14/9]], at about 764.9¢; the interval between these is [[99/98|99/98]], about 17.6¢.
== See also ==


11/7 is [[22/21|22/21]] (about 80.5¢) above the [[3/2|3/2]] perfect fifth, allowing the possibility of a resolution down by a step from 11/7 to 3/2.
* [[14/11]] -- its octave complement
* [[Gallery of just intervals]]


See: [[Gallery_of_Just_Intervals|Gallery of Just Intervals]]
[[Category:11-limit]]
[[Category:11-limit]]
[[Category:Over-7]]
[[Category:Over-7]]
[[Category:Sixth]]
[[Category:Sixth]]
[[Category:Minor sixth]]
[[Category:Minor sixth]]

Revision as of 20:07, 5 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

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