  The dynamical tide in a coalescing neutron star binary induces phase shifts
in the gravitational waveform as the orbit sweeps through resonances with
individual g-modes. Unlike the phase shift due to the equilibrium tide, the
phase shifts due to the dynamical tide are sensitive to the stratification,
composition, and superfluid state of the core. We extend our previous study of
the dynamical tide in superfluid neutron stars by allowing for hyperons in the
core. Hyperon gradients give rise to a new type of composition g-mode. Compared
to g-modes due to muon-to-electron gradients, those due to hyperon gradients
are concentrated much deeper in the core and therefore probe higher density
regions. We find that the phase shifts due to resonantly excited hyperonic
modes are ~ 10^{-3} rad, an order of magnitude smaller than those due to muonic
modes. We show that by stacking events, third generation gravitational-wave
detectors should be able to detect the phase shifts due to muonic modes. Those
due to hyperonic modes will, however, be difficult to detect due to their
smaller magnitude.
