Thanks for the links to Gaylord and Jacob, Garnet.
I notice that Gaylord calls their process an engineering
process that removes all impurities from the DMSO,
while JacobLab uses a chemical additive to counter the
odor. Gaylord's method may be just distillation - they
don't say. The odiferous impurities such as dimethyl
sulfide have much lower freezing points, flashpoints and
boiling points than DMSO itself. Being therefore more
volatile, perhaps these can be driven off by boiling without
vaporizing the DMSO. But you are probaby right...if it
were this simple, others would have discovered it long
ago.

Semiconductor materials are ultrarefined and 
monocrystallized by zonal melting. I wonder if this is
Gaylord's engineering process?

Matthew