11/7

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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

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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