11/7: Difference between revisions

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| Monzo = 0 0 0 -1 1
| Monzo = 0 0 0 -1 1
| Cents = 782.49204
| Cents = 782.49204
| Name = undecimal subminor sixth, <br> undecimal augmented fifth
| Name = undecimal minor sixth, <br>undecimal augmented fifth
| Color name = 1or5, loru 5th
| Color name = 1or5, loru 5th
| FJS name = P5<sup>11</sup><sub>7</sub>
| Sound = jid_11_7_pluck_adu_dr220.mp3
| Sound = jid_11_7_pluck_adu_dr220.mp3
}}
}}


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¢.
In [[11-limit]] [[just intonation]], '''11/7''' is an '''undecimal minor sixth''', measuring about 782.5¢. It is the inversion of [[14/11]], the undecimal major third.  
 
11/7 is flat of the Pythagorean minor sixth of [[128/81]] (about 792.2¢) by a pentacircle comma, [[896/891]]. It is flat of the 5-limit minor sixth of [[8/5]] (about 813.7¢) by [[56/55]]. It is sharp of the 7-limit subminor sixth of [[14/9]] (about 764.9¢) by a mothwellsma, [[99/98]]. And finally, it is sharp of the classic augmented fifth of [[25/16]] (about 772.6¢) by a valinorsma, [[176/175]].  


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.
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 ==
== See also ==
 
* [[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]] - another sound example
* [[:File:Ji-11-7-csound-foscil-220hz.mp3]] another sound example


[[Category:11-limit]]
[[Category:11-limit]]
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[[Category:Sixth]]
[[Category:Sixth]]
[[Category:Minor sixth]]
[[Category:Minor sixth]]
[[Category:Subminor sixth]]
[[Category:Pentacircle]]

Revision as of 09:19, 20 September 2020

Interval information
Ratio 11/7
Factorization 7-1 × 11
Monzo [0 0 0 -1 1
Size in cents 782.492¢
Names undecimal minor 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 minor sixth, measuring about 782.5¢. It is the inversion of 14/11, the undecimal major third.

11/7 is flat of the Pythagorean minor sixth of 128/81 (about 792.2¢) by a pentacircle comma, 896/891. It is flat of the 5-limit minor sixth of 8/5 (about 813.7¢) by 56/55. It is sharp of the 7-limit subminor sixth of 14/9 (about 764.9¢) by a mothwellsma, 99/98. And finally, it is sharp of the classic augmented fifth of 25/16 (about 772.6¢) by a valinorsma, 176/175.

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