2673/2048

Interval information

Ratio	2673/2048
Factorization	2-11 × 35 × 11
Monzo	[-11 5 0 0 1⟩
Size in cents	461.0929¢
Name	Alpharabian ultramajor third
Color name	L1o3, lalo 3rd
FJS name	[math]\displaystyle{ \text{M3}^{11} }[/math]
Special properties	reduced, reduced harmonic
Tenney height (log2 nd)	22.3842
Weil height (log2 max(n, d))	22.7685
Wilson height (sopfr(nd))	48
Open this interval in xen-calc

2673/2048, the Alpharabian ultramajor third, is the basic ultramajor third in the 2.3.11 subgroup. It differs from 21/16 by the pentacircle comma, and differs from 128/99 by the Betarabian comma. As suggested by its name, it is reached by tacking a 33/32 quartertone onto 81/64.

Among the more reasonably-sized large EDOs that represent this interval and other intervals in its class, such as 297/256, 891/512 and 8019/4096, with a pretty good level of accuracy include 159edo.

See also

• 4096/2673 – its octave complement
• Gallery of just intervals