A torque-converting and/or speed-converting variable-speed transmission, with an input shaft and an output shaft and at least two gear ratios, each of which is assigned at least one changeable gear pair, - wherein shifting elements act on sliding sleeves that are connected to the gear pairs and are able to change these gear pairs, - wherein the shifting elements are in engagement with a shift drum, which is bringable into defined angular positions and rotatable between these angular positions, - wherein the shift drum has an electric-motor direct drive, which is equipped to rotate the shift drum and bring it into the particular defined angular positions, - and wherein the electric-motor direct drive of the shift drum is formed by a brushless DC motor, characterised in that - the electric-motor direct drive is a torque motor formed as external rotor motor, - a driven shaft of the electric-motor direct drive has an external toothing, - a front-face section of the shift drum with a greater diameter than the driven shaft has an internal toothing corresponding to the external toothing of the electric-motor direct drive, and in that - the driven shaft with the external toothing and the shift drum with the corresponding internal toothing are non-rotatingly connected to each other at the front-face section of the shift drum, - wherein the electric-motor direct drive is coupled directly with the shift drum without the interposition of a transmission or a deflection, and - wherein the external toothing of the driven shaft is modified at at least one point in such a manner that a tooth gap between two adjacent teeth is missing there, wherein the double tooth formed in this way engages with a corresponding tooth gap at the internal toothing of the shift drum. - wherein shifting elements act on sliding sleeves that are connected to the gear pairs and are able to change these gear pairs, - wherein the shifting elements are in engagement with a shift drum, which is bringable into defined angular positions and rotatable between these angular positions, - wherein the shift drum has an electric-motor direct drive, which is equipped to rotate the shift drum and bring it into the particular defined angular positions, - and wherein the electric-motor direct drive of the shift drum is formed by a brushless DC motor, - the electric-motor direct drive is a torque motor formed as external rotor motor, - a driven shaft of the electric-motor direct drive has an external toothing, - a front-face section of the shift drum with a greater diameter than the driven shaft has an internal toothing corresponding to the external toothing of the electric-motor direct drive, and in that - the driven shaft with the external toothing and the shift drum with the corresponding internal toothing are non-rotatingly connected to each other at the front-face section of the shift drum, - wherein the electric-motor direct drive is coupled directly with the shift drum without the interposition of a transmission or a deflection, and - wherein the external toothing of the driven shaft is modified at at least one point in such a manner that a tooth gap between two adjacent teeth is missing there, wherein the double tooth formed in this way engages with a corresponding tooth gap at the internal toothing of the shift drum.