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
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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.

See also

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