A device for producing a spur toothing includes a tool holder arranged for rotational drive about a drive axis and longitudinal displacement along the drive axis, and a tool arranged on the tool holder. The tool includes an end face, a mating toothing disposed on the end face and arranged for forming a spur toothing on a workpiece, and a longitudinal axis arranged at an angle to the drive axis such that the longitudinal axis meets the drive axis at a wobble point. The mating toothing has a tooth base plane and the wobble point is disposed on the drive axis in front of or behind the tooth base plane such that, through rotary drive and longitudinal displacement of the tool holder with the associated wobbling rolling of the tool on the workpiece, the spur toothing formed by the mating toothing has a number of teeth that is unequal to a number of teeth of the mating toothing.

A method of producing a tooth profile surface on a workpiece. The method comprises providing a gear cutting tool and rotating the gear cutting tool about an axis of rotation. The cutting tool and workpiece are engaged with one another and rolled together in accordance with a generating roll to generate a profile surface of a tooth. The generating roll comprises a first ratio-of roll and a second ratio-of-roll with the first and second ratios-of-roll being different from one another and with one of the first ratio-of-roll and the second ratio-of-roll resulting in a relief section being formed on the tooth profile surface.

A method of producing a tooth profile surface on a workpiece. The method comprises providing a gear cutting tool and rotating the gear cutting tool about an axis of rotation. The cutting tool and workpiece are engaged with one another and rolled together in accordance with a generating roll to generate a profile surface of a tooth. The generating roll comprises a first ratio-of roll and a second ratio-of-roll with the first and second ratios-of-roll being different from one another and with one of the first ratio-of-roll and the second ratio-of-roll resulting in a relief section being formed on the tooth profile surface.