Discordancy is an unusual word that means lack of harmony or agreement between things. It can be replaced with a few other words that convey similar meanings. For example, disharmony is a synonym that refers to the lack of agreement between different elements. Dissonance is another word that means discord or conflict between sounds, ideas, or opinions. Meanwhile, incongruity suggests lack of consistency or the feeling that something does not fit together properly. Lastly, a lack of coherence also means discordancy, essentially meaning the absence of a logical and consistent connection between things. These alternatives to discordancy can help to add variety and clarity to your written or spoken language.