  We study systematically the ~0.1-1200 Hz quasi-periodic oscillations (QPOs)
and broad noise components observed in the power spectra of non-pulsing
neutron-star and black-hole low-mass X-ray binaries. We show that among these
components we can identify two, occurring over a wide range of source types and
luminosities, whose frequencies follow a tight correlation. The variability
components involved in this correlation include neutron-star kilohertz QPOs and
horizontal-branch oscillations, as well as black-hole QPOs and noise
components. Our results suggest that the same types of variability may occur in
both neutron-star and black-hole systems over three orders of magnitude in
frequency and with coherences that vary widely but systematically. Confirmation
of this hypothesis will strongly constrain theoretical models of these
phenomena and provide additional clues to understanding their nature.
