Most extemporaneously refers to something that is done or said in an unplanned or spontaneous manner. Some synonyms for this term might include impromptu, ad hoc, spur of the moment, offhand, unpremeditated, or improvisational. These terms all describe actions, words, or behavior that are done without prior planning and are often done without much forethought. Whether you are giving a speech, making a decision, or engaging in a discussion, utilizing these synonyms can help you communicate that you are acting quickly and without much premeditation. It is important to remember that these terms may also imply a certain level of risk or uncertainty, as they are often done without much preparation or planning.