The invention relates, in one aspect, to a synchronous
electric machine (M1, M1 ', M1' ', M1' '', M2, M2 ', M20, M21, M20') comprising: a first claw-pole
stator inductor (1, 1 ', 4, 4') comprising: a claw-pole ferromagnet (11, 41) comprising Pe poles; a first
stator armature (2, 2 ', 2u, 5, 5', 5u), the number of poles Pa of which is different from the number of poles Pe; a ferromagnetic rotor (3, 6, 6 ') comprising: an axis of rotation (X); comprising Ns ferromagnetic elements uniformly distributed along the axis of rotation (X), the Ns being equal to the sum or difference between Pa / 2 and Pe / 2, the set of ferromagnetic elements (30, 30u, 60, 60u) being located between the first claw pole
stator inductor (1, 1 ', 4, 4') and the first stator armature (2, 2 ', 2u, 5, 5', 5u).