TASISpec (TASCA in Small Image mode Spectroscopy) combines composite Ge-and Si-detectors for a new detector setup aimed towards multi-coincidence γ-ray, X-ray, conversion electron, fission fragment, and α-particle spectroscopy of the heaviest nuclei. It exploits the TASCA separator's unique small image focal mode, i.e. the fact that evaporation residues produced in fusion-evaporation reactions can be focused into an area of less than 3 cm in diameter. This provides the possibility to pack detectors in very close geometry, resulting in an unprecedented detection efficiency of radioactive decays in prompt and delayed coincidence with implanted nuclei.