It was fed in by the compound.
Lathe is Grizzly 0706 and running on single phase.
I try to keep tool as close to holder as possible and try to thread as close to chuck as possible.
I couldn't find the 0706 Lathe on the Grizzly site. I have the 4003G which is about as light and entry level as it gets. I also straight plunge the cutter.
You see that wavyness in many internet seemythreads pictures, so you're not alone.
The things that eliminated it when I was starting were higher turning speeds, sharper cutting tools, and good lubrication.
I got the turning speed up by flipping the cutting tool and running the machine in reverse. This should only be done with camlock spindles, it is dangerous with threaded on chucks. It eliminates the worry of crashing into the shoulder or chuck. I thread at 270 rpm. Leave the feed direction the same on the gearbox.
I went to the Warner 3/4" two sided turning tool (kit #31). I only use an edge of the 3 sided insert for 2 sets of threads. It'll do more, but that eliminates problems. That works out to ~$2.50 per tenon, which doesn't buy a lot of my time for sharpening tools. HSS tooling cuts better than carbide at low speeds.
I'm using Vipers Venom for cutting oil. I'm not sure how much that oil helps, but lubrication definitely does.
Straight plunging the tool requires light cuts. I do 10-10-5-5-3-3-3-3-2-.... That's 10 thou to 20 deep, 3 thou to 42 deep, 2 thou to final depth. Plunging is hard on the tip of the tool, so keep an eye on it. When it starts going, the rest of it doesn't cut nearly as well.