Thus at that point there were three Patriarchs of Antioch, or four if you count the Latin one: the Miaphysite (rejecting Chalcedon and not in communion with Rome or Constantinople); the Orthodox (accepting Chalcedon and in communion with Constantinople, but not with Rome); and the Maronite (accepting Chalcedon and in communion with Rome, but not Constantinople). Are you confused yet? Just wait, because….
Yet another Patriarch of Antioch appeared between 1662 and 1702, and then on an ongoing basis since 1783: the Syrian Catholic Patriarch. The Syrian Catholics were members of the Monophysite (yes, I mean Miaphysite) Church of Antioch who were returning to communion with Rome. Since the non-Chalcedonian Church of Antioch had not been subject to the Byzantinizing influence that the orthodox Church had undergone, both the Syriac Orthodox and the Syrian Catholics today are singular in preserving the ancient liturgical tradition of the Church of Antioch, and celebrate one of the oldest liturgies of the Church, the Divine Liturgy of St. James.
Thoroughly Byzantine, by contrast, was the Antiochian Orthodox Church in 1724, when its newly enthroned Patriarch, Cyril VI Tanas, declared that he was in communion with Rome. Enraged, a contingent of his priests immediately traveled to Constantinople, where the Patriarch Jeremias III had already gotten wind of Cyril’s intentions and refused to recognize his election. Jeremias chose a new Orthodox Patriarch of Antioch, Sylvester, who opted to rule his See from afar in Constantinople, as did his successors for many decades thereafter.
The party that followed Cyril, meanwhile, came to be known as the Melkite Greek Catholic Church. “Melkite,” or King’s men, was an ancient appellation for adherents of the Council of Chalcedon when the Byzantine Emperor was alone in accepting it and all the Eastern patriarchs rejected it. A venerable title of the Church of Antioch, “Melkite” with the new developments came to be used solely of those who accepted the authority of the Pope of Rome, the monarch of the Church. “Greek,” meanwhile, referred to the rite of the Church, just as does “Roman” in Roman Catholic: the Orthodox Church of Antioch had by this time been Byzantined for nearly a millennium.