71/40: Difference between revisions

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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
| FJS name = m7<sup>71</sup><sub>5</sub>
}}
}}


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.