After switching from the Annual Cycle, the community of Beit Hallel realized that the Triennial Cycle of reading was not nearly as uniform. Indeed, the Annual Cycle was formulated at a time when the Rabbis were seeking to establish uniformity among the dispersed Jewish communities of the post-destruction era and thus was created to assure that the diverse synagogue communities would all be reading the same Torah selections on any given Shabbat. Given the fact that the earlier Triennial Cycle was not nearly so uniform, and that variations existed among the extant lists, the community was forced to make a decision as to which list would form the basis for the weekly Shabbat readings. In the end, they chose to follow the Triennial Cycle as described 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.
Then, the community chose passages from the Apostolic Scriptures (New Testament) 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 allowed to be the primary factor.
In the Three Year Reading Cycle the Torah is divided into 151 parashot. Tim Hegg has written an in depth and very thorough commentary for each parashah which are provided here, free to download in PDF, MOBI and EPUB formats. These articles are organized by the five books of the Torah. Click on a link below to begin your search.