  We derive the scaling limit for the Hierarchical Random Hopping dynamics for
the non cascading 2-GREM at low temperatures and time scales where the dynamics
is close to equilibrium. The {\em fine tuning} phenomenon plays a role (under
certain choices of parameters of the model), yielding three dynamical regimes.
In contrast to the {\em cascading} case, the pairs of first and second level
energies have fluctuations which scale with the volume, and this leads to a
family of time scales where we see the dynamics moving through only a part of
the full low temperature energy landscape.
