The "triennial cycle" was the practice of Jews in Eretz Yisrael, which works by dividing the Torah into weekly sections, roughly a third of the length of a Babylonian weekly parsha, which, if you follow it week by week, means you end up finishing in something like three and a half years. The revived triennial cycle is now on its second run ב''ה with Jews around the world learning according to its schedule.
Shemot Sidrah 23 - שבת סדרה כג
Shemot 30 - שמות ל
Haftara: Malachi 1:1 - 2:7 - מלאכי א:א -ב:ז
Resources
Suggested aliyot divisions for Bereshit
Hello. I found this very interesting! I read the FAQ and have a question. In your opinion, under what circumstances is it permitted to change a minhag like this, a minhag of all of כלל ישראל? What about the minhag of נטילת ערבה, or of saying Hallel on Rosh Chodesh, or saying Pesukei Dezimra, or davening Maariv? What about Taanis Esther? What about בנות ישראל החמירו על עצמן שאפילו רואות טפת דם כחרדל יושבות עליה שבעה נקיים? Is there anything that distinguishes these from changing the minhag of Krias Hatorah?