  Spectral tetris is a fexible and elementary method to construct unit norm
frames with a given frame operator, having all of its eigenvalues greater than
or equal to two. One important application of spectral tetris is the
construction of fusion frames. We first show how the assumption on the spectrum
of the frame operator can be dropped and extend the spectral tetris algorithm
to construct unit norm frames with any given spectrum of the frame operator. We
then provide a suffcient condition for using this generalization of spectral
tetris to construct fusion frames with prescribed spectrum for the fusion frame
operator and with prescribed dimensions for the subspaces. This condition is
shown to be necessary in the tight case of redundancy greater than two.
