Attainment rhymes with:
containment, entertainment, infotainment, arraignment, containment, entertainment, infotainment, abandonment, adjournment, adornment, alignment, apportionment, arraignment, assignment, atonement, confinement, consignment, containment, discernment, disillusionment, enlightenment, entertainment, environment, imprisonment, infotainment, internment, misgovernment, nongovernment, postponement, realignment, reapportionment, reassignment, refinement, self-government
Attainment sounds like:
adamant, adenoid, admit, admitted, atonement, attained, attend, attended, attendee, attenuate, attenuated, attuned, auditioned, authement, automata, automate, automated