After some experimentation I found that by chaning from Progressive to Interlaced, the result seemed better.
I'm still at a loss though since the Progressive Scan looked bad on my Computer Monitor - and I would imagine that a Computer monitor shouldn't have trouble with that.
My original Source was a DPX Image Sequence that I converted to Quicktime Movie using Graphic Converter, and it was in this that I set the Scan Preference to Progressive (earlier) and Interlaced (now).
I also found that a company called Iridias makes a product called FrameCycler (I haven't yet tried it), that converts from several Image Sequences (which you get if you're doing a Digitail Intermediate from footage that originated on Film) to Quicktime Movies.
Regards,
RD