3136/3125

Interval information

Ratio

3136/3125

Factorization

2⁶ × 5^-5 × 7²

Monzo

[6 0 -5 2⟩

Size in cents

6.083244¢

Name

hemimean comma

FJS name

[math]\displaystyle{ \text{ddd3}^{7,7}_{5,5,5,5,5} }[/math]

Special properties

reduced

Tenney height (log₂ nd)

23.2244

Weil height (log₂ max(n, d))

23.2294

Wilson height (sopfr(nd))

51

Open this interval in xen-calc

3136/3125, the hemimean comma, is a 7-limit comma measuring about 6.1 cents. It is the difference between 126/125 (septimal semicomma), and 225/224 (septimal kleisma).

Tempering it out leads to the rank-3 hemimean temperament, which splits the syntonic comma into two equal parts, each representing 126/125~225/224. It also splits 5/4 (classic major third) into two equal parts, each representing 28/25. In the 2.5.7 subgroup, tempering out the comma leads to the rank-2 2.5.7 subgroup temperament hemithirds with a gennerator of 28/25. Typical edos tempering it out include 31, 68, 80, 87, 99, 111, 118 and 130, all tune both 126/125 and 225/224 to a single step.

3136/3125

See also