The Three Year Torah Reading Cycle found here is based on the Triennial Cycle as formulated by the following scholars: Charles Perrot, “The Reading of the Bible in the Ancient Synagogue” in Martin Mulder, ed., Mikra (Fortress, 1988), pp. 139ff; Cecil Roth, “Triennial Cycle” in Encyclopedia Judaica (Keter, 1971), 15.1386–1389; and Jacob Mann, The Bible as Read and Preached in the Old Synagogue, 2 vols. (KTAV, 1971), which contains a very helpful Prolegomenon by Ben Zion Wacholder.
Passages from the Apostolic Scriptures (New Testament) have been added to accompany the weekly sections of the Torah and Prophets as listed in the Triennial Cycle. In choosing these readings from the Apostolic Scriptures, general themes or topics were considered to be the primary factor.