FWIW,
You may get a better finish using a HSS tool, with a small radius stoned on the edge.
The larger the radius, the greater the risk of chatter, so you have to find a balance between speed, depth of cut and feed rate that suits the material, tool and machine in use.
Obviously the tool needs to be sharp.
Carbide tips tend not to be sharp. The intention is that when run at high speed the tool rubs and generates heat which softens the material.
Having said that, I have produced a good finish with a carbide tip by running at low speed with a very shallow depth of cut, with neat cutting oil applied.
Possibly the good finish is the result of burnishing rather than actual cutting.
It goes without saying that the tool must be mounted on the centreline of the work.
If you have a Tangential Turning Tool the standard HSS toolbit supplied has a radius on the edge.
For a finishing cut, a minimal depth of cut may be beneficial, (as Jason's 0.001" cut ), and the feed rate needs to be low. (You are effectively cutting a screw thread of minimal depth and pitch. The finishing cut should remove the "thread" left by the roughing cut
HTH
Howard