729/484

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 height (log2 nd)	18.4286
Weil height (log2 max(n, d))	19.0196
Wilson height (sopfr(nd))	44
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~3.60379 bits
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 approximation, even though 27/22 is not actually mapped to that interval.

See also

• 968/729 - its octave complement
• Gallery of just intervals