The word "more inconsonant" refers to something that is even less harmonious or in agreement than before. The antonyms for this word would be "more harmonious," "more consistent," "more compatible," and "more congruous." These words suggest a stronger sense of agreement, unity, and coherence. For instance, if two people are said to have inconsonant opinions, the antonym could be that they have similar, compatible viewpoints. On the other hand, if a piece of music is described as inconsonant, an antonym for that would be that it is harmonious or consonant. Therefore, depending on the context, the antonyms for "more inconsonant" can take on different meanings that all suggest greater agreement and harmony.