  A solution of the Bohr collective hamiltonian for the $\beta-$soft,
$\gamma-$soft triaxial rotor with $\gamma \sim \pi/6$ is presented making use
of a harmonic potential in $\gamma$ and Coulomb-like and Kratzer-like
potentials in $\beta$. It is shown that, while the $\gamma-$angular part in the
present case gives rise to a straightforward extension of the rigid triaxial
rotor energy in which an additive harmonic term appears, the inclusion of the
$\beta$ part results instead in a non-trivial expression for the spectrum. The
negative anharmonicities of the energy levels with respect to a simple rigid
model are in qualitative agreement with general trends in the experimental
data.
