3025/3024

Interval information

Ratio

3025/3024

Factorization

2^-4 × 3^-3 × 5² × 7^-1 × 11²

[-4 -3 2 -1 2⟩

Size in cents

0.5724034¢

Name

lehmerisma

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

Special properties

23.125

Weil height (log₂ max(n, d))

23.1254

56

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, between 121/120 and 126/125, between 225/224 and 243/242, and between 385/384 and 441/440, as well as 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.

See also