  We present a novel class of composite Higgs models in which the top and gauge
partners responsible for cutting off the Higgs quadratic divergences form a
continuum. The continuum states are characterized by their spectral densities,
which should have a finite gap for realistic models. We present a concrete
example based on a warped extra dimension with a linear dilaton, where this
finite gap appears naturally. We derive the spectral densities in this model
and calculate the full Higgs potential for a phenomenologically viable
benchmark point, with percent level tuning. The continuum top and gauge
partners in this model evade all resonance searches at the LHC and yield
qualitatively different collider signals.
