The periodicity of P0=160.0101 (±1) min discovered in the Sun's global oscillations, then in rapid variability of active galactic nuclei (AGNs) (Kotov & Lyuty 1990), might have a cosmological origin. Analysing the distribution of periods of ∼4000 close binaries we found that the most commensurate (with an odd-even parity taken into account) period of galactic binaries is equal to 160.0(±1) min (∼ 4σ). Accordingly, it is argued that the famous 2-3 hr gap of cataclysmic binaries might be closely associated with the “universal” P0- oscillation. A similar analysis applied to the ∼1200 RR Lyrae variables in galactic globular clusters (GCs) and 72 RR Lyraes in the LMC GCs (Graham 1985; Nemec et al. 1985) showed that for all those stars the P0- period appears to be the most “resonant” one (Fig. 1). This strongly supports the cosmological origin of the P0- oscillation. Since the P0- resonance for RR Lyraes appears to be most pronounced when the “odd-even” parity is taken into account, it is hypothesized that variability in the majority of GC RR Lyraes should be related to their binary nature and may be relevant to explanation of Blazhko effect.