729/484: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Name = Alpharabian wide fifth
| Name = Alpharabian wide fifth
| Color name =  
| Color name = L1uu5, lalulu 5th
| Sound =  
| Sound =  
}}
}}

Revision as of 18:18, 7 September 2023

Interval information
Ratio 729/484
Factorization 2-2 × 36 × 11-2
Monzo [-2 6 0 0 -2
Size in cents 709.0941¢
Name Alpharabian wide fifth
Color name L1uu5, lalulu 5th
FJS name [math]\displaystyle{ \text{A5}_{11,11} }[/math]
Special properties reduced
Tenney norm (log2 nd) 18.4286
Weil norm (log2 max(n, d)) 19.0196
Wilson norm (sopfr(nd)) 44
Open this interval in xen-calc

729/484, the Alpharabian wide fifth (709.09¢), is 243/242 (7.1¢) above the just fifth 3/2. It is the interval created by stacking two 27/22 neutral thirds, and can be considered a superpyth fifth. Oddly enough, it is only about 0.003 cents away from 22edo's approximation of the perfect fifth. This gives 44edo a very accurate 27/22.

See also