The phrase "of consequence" refers to something that is significant or important. Synonyms for this phrase include "substantial," "meaningful," "significant," "noteworthy," "crucial," "vital," "pertinent," "relevant," "weighty," "critical," "essential," "material," and "valuable." These words describe something that carries significant importance or relevance and can greatly impact a situation or outcome. These synonyms can be used interchangeably with "of consequence" in written or spoken language to add emphasis or provide a varied vocabulary. It is important to choose the appropriate synonym in context to convey the intended meaning and tone.