8019/4096

Interval information

Ratio	8019/4096
Factorization	2-12 × 36 × 11
Monzo	[-12 6 0 0 1⟩
Size in cents	1163.048¢
Name	Alpharabian ultramajor seventh
Color name	L1o7, lalo 7th
FJS name	[math]\displaystyle{ \text{M7}^{11} }[/math]
Special properties	reduced, reduced harmonic
Tenney height (log2 nd)	24.9692
Weil height (log2 max(n, d))	25.9384
Wilson height (sopfr(nd))	53
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.42574 bits
Open this interval in xen-calc

8019/4096, the Alpharabian ultramajor seventh, is the basic ultramajor seventh in the 2.3.11 subgroup. It differs from 63/32 by 896/891, and differs from 88/45 by the schisma. As suggested by its name, it is reached by tacking a 33/32 quartertone onto 243/128.

Among the more reasonably sized large EDOs that represent this interval and other intervals in its class- such as 297/256, 2673/2048 and 891/512- with a pretty good level of accuracy include 159edo.

See also

• 8192/8019 – its octave complement
• Gallery of just intervals