A countable algebraic structure is almost computable if
almost every Turing degree can compute a copy of the structure; in
other words, if the degree spectrum of the structure has measure 1
under the standard measure on the Cantor space. We give examples of
almost computable structures the complements of degree spectra of
which are uncountable. Moreover, we give an example of a structure
whose degree spectrum coincides with the hyperimmune degrees.