  We calculate some tree level scattering amplitudes for a generalization of
the protostring, which is a novel string model implied by the simplest string
bit models. These bit models produce a lightcone worldsheet which supports $s$
integer moded Grassmann fields. In the generalization we supplement this
Grassmann worldsheet system with $d=24-s$ transverse coordinate worldsheet
fields. The protostring corresponds to $s=24$ and the bosonic string to $s=0$.
The interaction vertex is a simple overlap with no operator insertions at the
break/join point. Assuming that $s$ is even we calculate the multi-string
scattering amplitudes by bosonizing the Grassmann fields, each pair equivalent
to one compactified bosonic field, and applying Mandelstam's interacting string
formalism to a system of $s/2$ compactified and $d$ uncompactified bosonic
worldsheet fields. We obtain all amplitudes for open strings with no oscillator
excitations and for closed strings with no oscillator excitations and zero
winding number. We then study in detail some simple special cases. Multi-string
processes with maximal helicity violation have much simplified amplitudes. We
also specialize to general four string amplitudes and discuss their high energy
behavior. Most of these models are not covariant under the full Lorentz group
$O(d+1,1)$. The exceptions are the bosonic string whose Lorentz group is
$O(25,1)$ and the protostring whose Lorentz group is $O(1,1)$. The models in
between only enjoy an $O(1,1)\times O(d)$ spacetime symmetry.
