Which source conditions recover the Tishri ledger?
The complete Tishri ledger contains seven ritual categories and four species totals: 75 bulls, 18 rams, 176 lambs and 11 goats. Those margins alone leave the allocation among categories unresolved. A more informative reconstruction retains the source’s row templates and lets their seven amplitudes vary. Daily and Sabbath offerings contain lambs; the other templates retain their printed species ratios, including the complete Sukkot vector 70:14:98:7.
The four margins then provide four independent equations for seven amplitudes. Three additional source conditions close the system: Trumpets, Atonement and Eighth Day have equal amplitudes, giving two equations, and the daily contribution is 44 lambs. These recover the entire seven-row ledger. Removing daily 44 restores a Daily/Sabbath exchange; removing the festival equalities restores two allocation freedoms. The premises therefore have identifiable jobs rather than appearing as an undifferentiated collection of assumptions.
The seven-day Sukkot sequence gives a smaller version of the same result. Total 189, seven days and decrement 1 determine the totals 30 through 24. Retaining the uniform nonbull contribution 17 then gives the bulls 13 through 7. Other positive arithmetic bull sequences also sum to 70 if the decrement is free. Both reconstructions are conditional on numerical source templates and predicates; neither claims that a few totals independently generate the ritual system.
Sources: File_58 §2.2, §2.3, §3.1, §3.2, §7.1.