4096/4095

Interval information

Ratio

4096/4095

Factorization

2¹² × 3^-2 × 5^-1 × 7^-1 × 13^-1

Monzo

[12 -2 -1 -1 0 -1⟩

Size in cents

0.4227162¢

Name

schismina

Color name

sathurugu comma

FJS name

[math]\displaystyle{ \text{P1}_{5,7,13} }[/math]

Special properties

square superparticular,
reduced,
reduced subharmonic

Tenney height (log₂ nd)

23.9996

Weil height (log₂ max(n, d))

24

Wilson height (sopfr(nd))

55

Open this interval in xen-calc

4096/4095, the schismina, is a 13-limit superparticular ratio of about 0.42 cents. It is the difference between 65/64 and 64/63, and between 1053/1024 and 36/35.

The name lends itself to the general interval size measure knowns as the mina. In Sagittal notation, 4096/4095 is the default comma represented by a mina or three tinas.

4096/4095

See also