  Finite-size effects on the gravitational wave signal from a neutron star
merger typically manifest at high frequencies where detector sensitivity
decreases. Proposed sensitivity improvements can give us access both to
stronger signals and to a myriad of weak signals from cosmological distances.
The latter will outnumber the former and the relevant part of signal will be
redshifted towards the detector most sensitive band. We study the redshift
dependence of information about neutron star matter and find that single-scale
properties, such as the star radius or the post-merger frequency, are better
measured from the distant weak sources from $z\sim 1$.
