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

Open this interval in xen-calc

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.

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

8192/8019

See also