Abstract: ATP yarns having high twist efficiency (low residual twist) as well as methods for increasing the self plying action that occurs in ATP yarn processing. The self plying action and the ATP yarn structure may be improved by increasing the convergence angle of the singles twist yarns to above 50 degrees (compared to current values of 0 to 35 degrees). The increased convergence angle permits an increase in the ply twist above the level possible by self plying alone. This results in a yarn with reduced residual singles twist. An array of singles torque jets and an optional ply torque jet has been developed to achieve a high convergence angle. The angle between the singles torque jet axes can be varied from 0 to 180 degrees.