  We propose a self-consistent explanation of Rieger-type periodicities, the
Schwabe cycle, and the Suess-de Vries cycle of the solar dynamo in terms of
resonances of various wave phenomena with gravitational forces exerted by the
orbiting planets. Starting on the high-frequency side, we show that the
two-planet spring tides of Venus, Earth and Jupiter are able to excite
magneto-Rossby waves which can be linked with typical Rieger-type periods. We
argue then that the 11.07-year beat period of those magneto-Rossby waves
synchronizes an underlying conventional $\alpha-\Omega$-dynamo, by periodically
changing either the field storage capacity in the tachocline or some portion of
the $\alpha$-effect therein. We also strengthen the argument that the Suess-de
Vries cycle appears as an 193-year beat period between the 22.14-year Hale
cycle and a spin-orbit coupling effect related with the 19.86-year rosette-like
motion of the Sun around the barycenter.
