Turan is a historical region in Central Asia. The term is of Iranian origin and may refer to a particular prehistoric human settlement, a historic geographical region, or a culture. The original Turanians were an Iranian tribe of the Avestan age and in the later Iranian tradition generally, the term Turan is perceived as denoting lands inhabited by Turkic-speaking tribes.
Poster of the opera by Giacomo Puccini, Turandot (1926)
Turya or Turanian is the ethnonym of a group mentioned in the Avesta, i.e., the collection of sacred texts of Zoroastrianism. In those texts, the Turyas closely interact with the Aryas, i.e. the early Iranians. Their identity is unknown but they are assumed to have been Iranic horse nomads from the Eurasian steppe.
Illustration from the Shahnameh depicting the murder of Iraj by his brothers Sarm and Tur.