General-relativistic boson stars are stationary, gravitationally bound configurations of a complex scalar field, with or without an self-interaction potential. They are characterized by an oscillation frequency for the scalar field which arises as an eigenvalue in the set of ODEs which define the stationary state. I discuss evidence that these stars are actually a subset of configurations which oscillate with a potentially infinite number of incommensurate frequencies. I present explicit calculation of two-frequency states and summarize the similarities and differences of these configurations with the single-frequency stars.
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