  While it is commonly believed that there is a {\it direct} transition from
the hadronic to a quark gluon phase at high temperature, it would be
prejudicial to rule out a sequence of dynamically generated intermediate
scales. Using as guide, an effective lagrangian with unconfined gluons and
constituent quarks, interacting with a chiral multiplet, we examine a scenario
in which the system undergoes first-order transitions at $ T_{comp}$, the
compositeness scale of the pions, at $T_{\chi}$, the scale for spontaneous
chiral symmetry breaking, and at $T_c$, the confinement temperature.
  We find that at current energies, it is likely that the formation temperature
of the plasma, $ T_0 < T_{comp} $, and that this is therefore a quark gluon
pion plasma (QGPP) rather than the usual quark gluon plasma (QGP). We propose
some dilepton-related signatures of this scenario.
