[en] Inelastic scattering of 480 MeV and 340 MeV α particles on ²⁰⁸Pb, ¹¹⁶Sn and ⁵⁸Ni has been used in a search for high excitation energy giant multipole resonance, until E* = 60 MeV for ²⁰⁸Pb and E* = 45 MeV for ¹¹⁶Sn and ⁵⁸Ni. Above the well known quadrupole and monopole resonances, there is clear evidence for a very wide set of negative parity modes (including the already known high energy octupole), followed and mixed with another very wide set of positive parity resonances, extending up to the limits of the experimental spectra