  A large separation of scales is frequently required by theories describing
physics beyond the Standard Model. In mass-split models with some massless
(light) and some heavy flavors, large scale separation arises by construction
if the system is conformal in the ultraviolet but chirally broken in the
infrared. Due to the presence of a conformal fixed point, such chirally broken
systems show hyperscaling and have a highly constrained resonance spectrum that
is significantly different from the QCD spectrum. We present numerical evidence
for hyperscaling of both light-light and heavy-heavy meson resonances and show
that they only depend on the ratio of the light and heavy flavor masses. The
heavy-heavy spectrum is qualitatively different from QCD. The mass of
heavy-heavy quarkonia e.g. is not proportional to the constituent quark mass.
