959/540: Difference between revisions

Interval information
Ratio	959/540
Subgroup monzo	2.3.5.7.137 [-2 -3 -1 1 1⟩
Size in cents	994.2857¢
Name	harmonic/Pythagorean/just minor seventh meantone
Color name	137ozy8
FJS name	[math]\displaystyle{ \text{dd8}^{7,137}_{5} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	18.9822
Weil norm (log2 max(n, d))	19.8108
Wilson norm (sopfr(nd))	162
	Open this interval in xen-calc

Revision as of 17:15, 25 October 2022

In Just Intonation, 959/540 is the frequency ratio between the 959th and the 540th harmonic.

It is the mean between the harmonic seventh, the Pythagorean minor seventh and the just minor seventh: (7/4 + 16/9 + 9/5)/3 = 959/540.

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Ratio = 959/540
-| Monzo = -2,-3,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
-| Cents = 994.285689561
 | Name = harmonic/Pythagorean/just minor seventh meantone
 | Color name = 137ozy8
@@ Line 9: / Line 6: @@
 In Just Intonation, 959/540 is the frequency ratio between the 959th and the 540th harmonic.
 It is the mean between the [[7/4|harmonic seventh]], the [[16/9|Pythagorean minor seventh]] and the [[9/5|just minor seventh]]: (7/4 + 16/9 + 9/5)/3 = 959/540.
-Its factorization into primes is 2<sup>-2</sup>⋅3<sup>-3</sup>⋅5<sup>-1</sup>⋅7⋅137; its FJS name is dd8<sup>7,137</sup><sub>5</sub>.