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

Revision as of 12:42, 12 June 2020

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; its FJS name is m7⁷¹₅.

Revision as of 12:14, 12 June 2020 view source Contribution (talk \| contribs) 3,308 edits 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..."		Revision as of 12:42, 12 June 2020 view source Contribution (talk \| contribs) 3,308 edits No edit summary Newer edit →
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	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>.		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>.