The clutch aligns two source paths
The clutch begins with a comparison between maximum lifespan capacity and regular elapsed chronology. For the full-state comparison, let B and D be Levi’s regular birth and death, M Moses’ birth, and e the Exodus. Let L, K and A be the selected Levi, Kohath and Amram lifespans. The source construction subtracts B−e from L+K+A+(M−e). The Exodus cancels, leaving d=M+K+A−D.
The expression M+K+A is cumulative Kohath’s boundary. Thus d is exactly cumulative Kohath minus regular Levi death. Subtracting d must land there: this first agreement follows from the construction.
The adjacent Levi-birth agreement follows because both paths use Levi’s same lifespan. The next Jacob-to-Isaac agreement has a different status. It requires Isaac’s regular birth to lie one Jacob lifespan before Levi’s regular birth—the 147 condition already identified in the Covenant family.
The whole translated root can therefore be described from Levi’s regular death and the selected lifespans. Moses’ original anchor cancels when the clutch is recomputed, while his historical birth remains fixed in its original role.
The source retains one Nisan-derived clutch across the Aaron phase. Recomputing a separate full clutch to the same landing would erase that phase displacement and would be a different construction.
Sources: C1051–C1056; File61 §§6.3–6.6,7.3–7.6,8.2–8.4; File62 §§1.1–1.4,2.4.