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
dimifondisma

Color name

s1u2, salu 2nd

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. 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- most notably, it obliterates the distinction between 16/11 and 729/512, and this, combined with the fact that this interval is an inframinor second when not tempered, leads to the comma name dimifondisma, with "dimi" from "diminished", "f" from "fifth" and "ond" from "second".

8192/8019

See also