3025/3024

Interval information

Ratio

3025/3024

Factorization

2^-4 × 3^-3 × 5² × 7^-1 × 11²

Monzo

[-4 -3 2 -1 2⟩

Size in cents

0.5724034¢

Name

lehmerisma

FJS name

[math]\displaystyle{ \text{m}{-2}^{5,5,11,11}_{7} }[/math]

Special properties

square superparticular,
reduced

Tenney height (log₂ nd)

23.125

Weil height (log₂ max(n, d))

23.1254

Wilson height (sopfr(nd))

56

Open this interval in xen-calc

3025/3024, the lehmerisma, is an 11-limit unnoticeable comma measuring about 0.57 cents. It is the difference between 55/54 and 56/55, and also the amount by which two 12/11 neutral seconds falls short of 25/21, the quasi-tempered minor third.

Tempering it out leads to lehmerismic temperaments, which splits 28/27 into two equal parts, each representing 55/54~56/55.

It factors into two superparticular commas: 4375/4374 × 9801/9800.

3025/3024

See also