When looking for synonyms for the phrase "of no consequence", there are plenty of options to choose from. Some of the most common are: insignificant, unimportant, trivial, irrelevant, inconsequential, immaterial, meaningless, and negligible. Each of these terms expresses the idea that something is of little or no importance or relevance. Other synonyms might include petty, minor, or trifling, all of which suggest that something is too small or inconsequential to be worth worrying about. Ultimately, the choice of synonym will depend on the context and tone of the writing, as well as the personal style of the writer.