  We present a new quasidilaton theory of Poincare invariant massive gravity,
based on the recently proposed framework of matter coupling that makes it
possible for the kinetic energy of the quasidilaton scalar to couple to both
physical and fiducial metrics simultaneously. We find a scaling-type exact
solution that expresses a self-accelerating de Sitter universe, and then
analyze linear perturbations around it. It is shown that in a range of
parameters all physical degrees of freedom have non-vanishing quadratic kinetic
terms and are stable in the subhorizon limit, while the effective Newton's
constant for the background is kept positive.
