8192/8019

Interval information

Ratio	8192/8019
Factorization	213 × 3-6 × 11-1
Monzo	[13 -6 0 0 -1⟩
Size in cents	36.95205¢
Name	Alpharabian inframinor second
FJS name	[math]\displaystyle{ \text{m2}_{11} }[/math]
Special properties	reduced, reduced subharmonic
Tenney height (log2 nd)	25.9692
Weil height (log2 max(n, d))	26
Wilson height (sopfr(nd))	55
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8192/8019, the Alpharabian inframinor second, is the basic inframinor second in the 2.3.11 subgroup. It differs from 4096/3993, the Alpharabian paralimma, by 243/242, it differs from 45/44, the undecimal 1/5-tone, by the schisma, and, it also differs from 64/63, the Archytas comma, by 896/891. As suggested by its name, it is reached by subtracting a 33/32 quartertone from 256/243.

When treated as a comma to be tempered, and thus tempered out, for instance, in undecimal superpyth temperament, the result is the obliteration of any distinction between the diatonic intervals of Pythagorean tuning and nearby paradiatonic intervals.

See also

• 8019/4096 – its octave complement
• Gallery of just intervals