  Emergent cosmological models, together with the Big Bang and bouncing
scenarios, are among the possible descriptions of the early Universe. This work
aims at clarifying some general features of the primordial tensor power
spectrum in this specific framework. In particular, some naive beliefs are
corrected. Using a toy model, we investigate the conditions required to produce
a scale invariant spectrum and show to which extent this spectrum can exhibit
local features sensitive to the details of the scale factor evolution near the
transition time.
