Oscillations of three neutrinos with all Delta m(2) similar to 10(-3) eV(2)

Oscillations of three neutrinos with all squared mass splittings around 10( -3) eV(2) are not firmly excluded by solar neutrino experiments. We careful ly verify that they are also perfectly compatible with atmospheric neutrino experiments: due to accidental reasons the SuperKamiokande experiment is r ather insensitive to 'solar' nu(e)/nu(mu) oscillations, even if some charac teristic small effects could become visible with more statistics. This patt ern of oscillations can be excluded by new solar experiments, or cleanly di scovered at KAMLAND. We also perform a fit of the most recent atmospheric S K data within the usual assumption that 'solar' effects are negligible.