490d C426 — Four context templates behind the complete 2K census
24 September 2026. Step 3 of10, C424–C433.
The complete46-label2K census reduces to four observed source-context templates. All528 regular records obey the same coordinate accounting:
coordinate = role baseline +650×(SP or LXX) +130C +60T +215F +2(Gear−1) −SP person companion.
The role baselines are MT G1/C0/T0/F0: Noah birth2841, Shem birth2341, Flood start2241, Flood close2240, Noah death1891, Shem death1741. The LXX coefficient is normalized to CainanOFF; native ON remains C=1. This normalization preserves distinct traditions and does not remove Cainan from the native source.
| Template | Context offset | Role/local correction making1058 | Labels | Coordinates |
|---|---|---|---|---|
| T1 | 650−130−60−2 =458 | +600, or+601−1 | 20 | 12 |
| T2 | 650+60−2 =708 | +350 | 16 | 8 |
| T3 | 650+130+60+215+2 =1057 | +1, start→close | 4 | 2 |
| T4 | 650+130+60+215+4 =1059 | −1, close→start or SP person companion | 6 | 5 |
T1 comprises eight Noah-birth/Flood-start labels, four SP-companion Noah-birth/Flood-close labels and eight Shem-birth/Shem-death labels. T2 is the class audited in C424–C425. T3 comprises two coordinate start/close pairs with SP/LXX upper aliases. T4 contains the four same-role person pairs from C416 and the selected close/start pair, with two upper Flood labels.
The template coordinate counts sum to27, while their union has26 pairs. There is exactly one overlap: 3298/2240 belongs to both T2 and T3. The upper endpoint has SP/LXX Flood-start aliases. At the lower coordinate2240, MT G3/C1/T0/F1 Noah death coincides with MT G1/C0/T0/F0 Flood close. These are distinct source roles and contexts. Their coincidence explains the overlap; it does not merge the two equations.
This is a finite reduction of the existing census. It makes the roles of600,350 and the local one-year corrections visible while leaving the1058 equality and all source labels intact. It does not establish a universal chronology rule or four independent calibrations of529.
Verification and scope
575 calculation checks and 14 source/predecessor authentication checks passed. A separate main replay is byte-identical. Root-agent analysis and replay; no new independent-agent review is claimed. Verification counts are not independent historical witnesses.
The four templates classify the frozen observed census. They are not yet an independently generated symbolic completeness proof. SP/LXX coordinate normalization never makes them one source witness.
Mirror/529 focus: K=529, E=25/23, P=70/69; J=300/299 remains File02 gap conversion, not a calendar date operator or Residue Protocol. Regular Gears are Noah/Shem/Flood only. SP person companions are local to Noah/Shem; Flood close is an independent event boundary. Both500/100 and502/98 bindings remain valid; SP primary Noah death retains its inclusive/harmonic qualification. LXX native Cainan is ON; OFF is theoretical removal. Global paired Mirror January AD1; local junction January AD2; no civil year zero. No new source point, phase, fitted axis, upstream/cumulative Gear, primer reopening or canonical/graph edit. Capture now; canonize later. Coordinates, source labels, context aliases and derived comparisons remain distinct. Counts are not independent historical witnesses.
Decision after this result
C427, proposed and unexecuted: Resolve the MT Noah-death/Flood-close coincidence responsible for the sole template overlap. Census all such MT record coincidences, retain their separate biographies and event contexts, and check which can actually participate in an existing2K pair.
The four-template reduction exposes one coordinate collision. Resolving its source identity is necessary before interpreting the templates as a connected structure.