71/40: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Ratio = 71/40 | | Ratio = 71/40 | ||
| Monzo = -3 | | Monzo = -3 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | ||
| Cents = 993.382829541 | | 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. | |||
Its factorization into primes is 2<sup>-3</sup> | |||
Revision as of 23:49, 7 November 2020
| Interval information |
In Just Intonation, 71/40 is the frequency ratio between the 71th and the 40th harmonic.
It is the mean between the harmonic seventh and the just minor seventh: (7/4 + 9/5)/2 = 71/40.
Its factorization into primes is 2-3 ⋅ 5−1 ⋅ 71.