This paper describes two approaches for the computation of the mutual inductance between rotor and stator of synchronous claw-pole alternators with respect to the distinctive claw-shape. There is no direct access to measure the mutual inductance which requires an indirect determination. Due to the complex design of the rotor, the computational approaches are non-trivial. If prototypes are available, the mutual inductance can be computed on the basis of the synchronous-generated voltage measured at no-load operation. Appliance of a Fourier analysis on the determined characteristic of the mutual inductance, contained harmonics are provided, to allow for analytic composition. At early design stages the mutual inductance need to be determined analytically due to the lack of prototypes. A Matlab tool is utilized to compute the mutual inductance dependent on chamfer angle and chamfer width