71/40: Difference between revisions

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Created page with "{{Infobox Interval | Ratio = 71/40 | Monzo = -3,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1 | Cents = 993.382829541 | Name = harmonic/just minor seventh meantone | Color name = 71o..."
 
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{{Infobox Interval
{{Infobox Interval
| Ratio = 71/40
| Monzo = -3,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
| Cents = 993.382829541
| Name = harmonic/just minor seventh meantone
| Name = harmonic/just minor seventh meantone
| Color name = 71oy7
| Color name = 71oy7
}}
}}


In Just Intonation, 71/40 is the frequency ratio between the 71th and the 40th harmonic.
In Just Intonation, '''71/40''' is the frequency ratio between the 71th and the 40th harmonic.


It is the mean between the [[7/4|harmonic seventh]] and the [[9/5|just minor seventh]]: (7/4 + 9/5)/2 = 71/40.
It is the mean between the [[7/4|harmonic seventh]] and the [[9/5|just minor seventh]]: (7/4 + 9/5)/2 = 71/40.
 
 
 
Its factorization into primes is 2<sup>-3</sup>⋅5<sup>-1</sup>⋅71; its FJS name is m7<sup>71</sup><sub>5</sub>.