Antonyms for the word "more concordant" would include terms such as "dissonant," "discordant," and "clashing." These words describe a lack of agreement or harmony between two things or individuals. Dissonant indicates a jarring or unpleasant sound, while discordant implies a disagreement or difference of opinion. Clashing suggests a collision or conflict between opposing viewpoints or interests. Using antonyms can help to provide a fuller understanding of a concept by highlighting its opposite qualities. By considering both the positive and negative aspects of a word, it becomes easier to fully grasp its meaning and implications.