  Oscillations of three neutrinos with all squared mass splittings around
10^{-3} eV^2 are not firmly excluded by solar neutrino experiments. We
carefully verify that they are also perfectly compatible with atmospheric
neutrino experiments: due to accidental reasons the SuperKamiokande experiment
is rather insensitive to `solar' nu_e/\nu_mu oscillations, even if some
characteristic small effects could become visible with more statistics. This
pattern of oscillations can be excluded by new solar experiments, or cleanly
discovered at KamLand.
  We also perform a fit of the most recent atmospheric SK data within the usual
assumption that `solar' effects are negligible.
