Abstract: The invention provides an improved method for winding synthetic yarns and wherein the yarn is wound about a core at a substantially constant rate while the yarn is guided onto the core by a traversing yarn guide. The speed of the traversing yarn guide is proportional to the rotation of the package to define a substantially constant winding ratio during a series of sequential steps, and the speed of the traversing yarn guide is rapidly increased at the beginning of each of the sequential steps to produce a stepped precision wind. The upper and lower values of the traversing speed are both changed in a predetermined manner during the winding cycle, and so as to form a cylindrical package without harmful yarn patterns or bulges.