71/40: Difference between revisions

Interval information
Ratio	71/40
Subgroup monzo	2.5.71 [-3 -1 1⟩
Size in cents	993.3828¢
Name	harmonic/just minor seventh meantone
Color name	71oy7
FJS name	[math]\displaystyle{ \text{m7}^{71}_{5} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	11.4717
Weil norm (log2 max(n, d))	12.2995
Wilson norm (sopfr(nd))	82
	Open this interval in xen-calc

Latest revision as of 16:49, 25 October 2022

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.

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 {{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 = 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.
 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.