Hal,
John is right, Stuart Mortimer is the best. I saw his demo last spring and heve been working on this look recently. He could carve sprials in a vessel in 2 hours, it takes me two days!
Doug went thru the steps if you don't have indexing on your lathe. If you do have indexing on your head stock let it do the measuring. Draw a pencil line near the bottom of the form and near the top of the form around the circumference. Now with the indexer and your tool rest as a straight edge strike lines at equal spacing from the bottom to top of your vessel. I use a folded piece of medium heavy paper to draw to connect the lower latitude to the upper latitude lines crossing over 2 or 3 longitude lines.
Your carving method will depend on your tools. I carve with a small v-tool to establish a guide down each of the spiral lines. Then with a back saw I set the depth of each groove. Back to carving gouges, followed by round micro-plane, files and sandpaper wrapped dowels.
Good luck, I think spirals are fun.
Frank