Actually the thing I forgot to mention is matching the parting blade geometry to the material. It's something we think about all the time for other toolbits, but sometimes gets disregarded for parting blades.
I once did a job for a friend which involved lots of parting off in copper and some stringy horrible grade of brass, it was all a bit grabby unless I used a really slow feed, having quite a few to do, I specifically ground a parting tool with a small negative rake, and like magic I could suddenly feed at a much higher rate.
Similarly I have a brazed carbide parting tool which is preserved for stainless which is much wider (about 4.5mm) with a reasonably positive rake and chip breaker ground into the top face of the brazed insert, the shape helps reduce cutting pressure when taking the more aggressive feed rates needed to successfully cut stainless, whilst the thicker tool gives sufficient support for such heavy cutting forces.