I work restoring antique fountain pens. The threads that hold on the caps are "three lead threads". With the compound set parallel with the ways, and a DRO on the Compound, it is easy to dial in the offset for the second and third lead of threads.
You might ask "What is a three lead thread?". As an example, you set your lead screw for 8 threads per inch, but cut to the depth for 24 threads per inch. Then you offset your single point tool towards the chuck 1/3rd of the distance of your thread spacing. Cut your new groove (which is offset from your first groove/thread. Then you offset another 1/3rd towards the chuck and cut you final groove/thread. To the naked eye, the threads look like 24 threads per inch, but in terms of rotation, it only takes 8 turns to traverse and inch. Because of the steeper angle of 8 threads per inch, most caps are secured in place with a single rotation (which is why this type of thread was so popular for the old Fountain pens). It goes without saying that you are cutting threads without the 30 degree angle which us Americans are so fond of using, but in soft pen materials (brass, gold, ebonite, celluloid), chatter is not an issue.