  Alfv\'{e}nic turbulent cascade perpendicular and parallel to the background
magnetic field is studied accounting for anisotropic dispersive effects and
turbulent intermittency. The perpendicular dispersion and intermittency make
the perpendicular-wavenumber magnetic spectra steeper and speed up production
of high ion-cyclotron frequencies by the turbulent cascade. On the contrary,
the parallel dispersion makes the spectra flatter and decelerate the frequency
cascade above the ion-cyclotron frequency. Competition of the above factors
results in spectral indices distributed in the interval [-2,-3], where -2 is
the index of high-frequency space-filling turbulence, and -3 is the index of
low-frequency intermittent turbulence formed by tube-like fluctuations. Spectra
of fully intermittent turbulence fill a narrower range of spectral indices
[-7/3,-3], which almost coincides with the range of indexes measured in the
solar wind. This suggests that the kinetic-scale turbulent spectra are shaped
mainly by dispersion and intermittency. A small mismatch with measured indexes
of about 0.1 can be associated with damping effects not studied here.
