Mishnah
Some old manuscripts of the Mishnah include cantillation marks similar to those in the Bible. There is no surviving system for the musical rendition of these.
Today many communities have a special tune for the Mishnaic passage "Bammeh madlikin" in the Friday night service. Otherwise, there is often a customary intonation used in the study of Mishnah or Talmud, somewhat similar to an Arabic maqam, but this is not reduced to a precise system like that for the Biblical books. Recordings have been made for Israeli national archives, and Frank Alvarez-Pereyre has published a book-length study of the Syrian tradition of Mishnah reading on the basis of these recordings.
Read more about this topic: Cantillation