Synchronous machine - having at least one stator (11, 26) with a polyphase, preferably three-phase winding with a number of poles 2p ≥ 4, wherein the number of poles is twice the number of pole pairs p, the winding is arranged in n grooves in the at least one stator and designed to generate a magnetic rotating field, - having flux guide regions provided between the grooves of the at least one stator (11, 26) for guiding the magnetic rotating field, which comprise a ferromagnetic material, - having at least one rotor (1, 19, 19') arranged on an axis of rotation, which is, relative to at least one stator, rotatably arranged forming an air gap and has regions with permanent magnets (3, 3', 20) facing towards at least one stator (11, 26) and arranged evenly distributed in angular ranges in the circumferential direction with respect to the direction of rotation of the rotor, - wherein the permanent magnets (3, 3', 20) are magnetised in the direction of the flux guide regions of the at least one stator or in the opposite direction thereto, - the at least one rotor has flux guide regions (4, 4', 22) arranged between the permanent magnets (3, 3', 20), which serve to guide the magnetic flux from or into the at least one rotor (1, 19), - wherein the flux guide regions (4, 4') of the at least one rotor (1, 19) comprise a ferromagnetic material, wherein at least one additional permanent magnet (5, 5', 17, 18, 23) is provided, whose generated magnetic flux is at least partially guided via the flux guide regions (4, 4', 22) of the rotor, wherein the magnetic flux of the additional permanent magnet (5, 5', 17, 18, 23) in the flux guide regions (4, 4', 22) of the rotor has a direction opposite to the magnetisation direction of the permanent magnets of the rotor, characterised in that the number of magnetic poles of the rotating field 2p 2 is twice the number of grooves n and the number of magnetic poles of the at least one rotor 2p 3 is: 2p 3 = 2p 2 - 2p. - having at least one stator (11, 26) with a polyphase, preferably three-phase winding with a number of poles 2p ≥ 4, wherein the number of poles is twice the number of pole pairs p, the winding is arranged in n grooves in the at least one stator and designed to generate a magnetic rotating field, - having flux guide regions provided between the grooves of the at least one stator (11, 26) for guiding the magnetic rotating field, which comprise a ferromagnetic material, - having at least one rotor (1, 19, 19') arranged on an axis of rotation, which is, relative to at least one stator, rotatably arranged forming an air gap and has regions with permanent magnets (3, 3', 20) facing towards at least one stator (11, 26) and arranged evenly distributed in angular ranges in the circumferential direction with respect to the direction of rotation of the rotor, - wherein the permanent magnets (3, 3', 20) are magnetised in the direction of the flux guide regions of the at least one stator or in the opposite direction thereto, - the at least one rotor has flux guide regions (4, 4', 22) arranged between the permanent magnets (3, 3', 20), which serve to guide the magnetic flux from or into the at least one rotor (1, 19), - wherein the flux guide regions (4, 4') of the at least one rotor (1, 19) comprise a ferromagnetic material,