Monologue, Dialogue, Polylogue?

If a Monologue is where one person is speaking, and a Dialogue is when 2 people are speaking, should we also have Trialogues and Polylogues?

Thing is, the “di” in dialogue doesn’t mean “two”; the etymology of the word is διά (dia : through) and λόγος (logos : word, speech) - so it can be for any number of people as long as there is some meaning flowing through as a result of the conversation.

BTW although nowadays discuss and dialogue are used synonymously, the etymology of discussion means to break apart (and has a similar etymology to percussion and concussion)