Gear-cutting machine, more particularly skiving machine, having a tool changing system

A gear-cutting machine comprising:

• a rotatable workpiece spindle (1) configured for holding a work wheel (3) to undergo gear cutting,
• a tool spindle (2), which tool spindle (2) is configured to be rotationally driven synchronously with the workpiece spindle (1) for holding a tool retainer (6),
• a tool changing system (12) fastened to a housing (16) of the tool spindle (2), and comprising a tool carrier (13) that is configured to be rotated about a tool-carrier axis of rotation (D) with a plurality of carrying plates (14) that are rotatably arranged around the tool-carrier axis of rotation (D), each carrying plate having a bearing opening (17) configured for holding a tool (7) with a tool retainer (6), wherein the tool retainers (6) supported in the bearing openings (17) are configured to be selectively coupled to the tool spindle (2) by means of rotation of the tool carrier (13) about the axis of rotation (D),
• wherein the tool carrier (13) is in the shape of a truncated pyramid, the carrying plates (14) are formed from lateral surfaces of the truncated pyramid and the tool carrier axis of rotation (D) is centered and runs perpendicular through a head surface of the truncated pyramid, wherein the tool carrier axis of rotation (D) comprises an angle of inclination (β) to the tool axis of rotation (R2) such that a surface extension of a carrying plate (14), which assumes a machining position, runs transversely to the tool axis of rotation (R2).