Parimo

Interval information

Ratio

1771561/1771470

Factorization

2^-1 × 3^-11 × 5^-1 × 11⁶

Monzo

[-1 -11 -1 0 6⟩

Size in cents

0.0889308¢

Name

parimo

FJS name

[math]\displaystyle{ \text{ddd1}^{11,11,11,11,11,11}_{5} }[/math]

Special properties

reduced

Tenney height (log₂ nd)

41.5131

Weil height (log₂ max(n, d))

41.5132

Wilson height (sopfr(nd))

106

Open this interval in xen-calc

The parimo is a 11-limit unnoticeable comma with a ratio of 1771561/1771470 = [-1 -11 -1 0 6⟩ and a value of approximately 0.09 cents. It is the amount by which a stack of three rastmas falls short of a syntonic comma. Tempering it out leads to a form of parimic temperament, which can be said to be the undecimal counterpart of the metric temperament in that the syntonic comma is split into three equal parts in both systems. However, in parimic temperament, the parts represent different intervals – one part represents the rastma, and two represent the biyatisma.

Parimo

See also