The antonyms for the phrase "fitting together" are disharmony, discord, disunity, inconsistency, and disparity. Disharmony refers to a lack of agreement or compatibility. Discord implies a lack of harmony or agreement caused by conflict or disagreement. Disunity signifies a lack of coherence or togetherness. Inconsistency refers to a lack of compatibility, coherence, or agreement between two or more things. And disparity suggests a significant difference or inequality between two things. These antonyms highlight the opposite meaning of "fitting together," which means compatibility, agreement, or unity between two or more things.