729/484: Difference between revisions

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'''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.
'''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 [[cent]]s away from [[22edo]]'s approximation of the perfect fifth.


== See also ==
== See also ==
* [[968/729]] - its [[octave complement]]
* [[968/729]] - its [[octave complement]]
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]

Revision as of 21:54, 18 May 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
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.

See also