490d C327 — Complete source-biography residual census
24 September2026. Step4 of10 in the C324–C333 authorization.
The complete census finds 18 positive residual intervals, comprising six event-role pairs repeated across three Gears. The remaining 57 ordered pairs are negative; none is zero. Every endpoint was already admitted in C322.
Let A be an SP endpoint, B its MT same-role counterpart, and C another SP endpoint in the same Gear. A−B=460, so B−C=(A−C)−460. The positive partitions are:
| SP source interval A→C | Full duration | Residual MT B→SP C | Gear instances |
|---|---|---|---|
| Noah birth→Shem birth | 500 | 40 | 3 |
| Noah birth→Flood start | 600 | 140 | 3 |
| Noah birth→Noah death | 950 | 490 | 3 |
| Noah birth→Shem death | 1100 | 640 | 3 |
| Shem birth→Shem death | 600 | 140 | 3 |
| Flood start→Shem death | 500 | 40 | 3 |
The qualified G1 Noah-lifespan partition is SP Noah birth 3706 → MT Noah birth 3246 → SP Noah death 2756 BC: 950=460+490. The G1 Shem-lifespan partition is3206→2746→2606: 600=460+140. Noah birth through Shem death is3706→3246→2606: 1100=460+640. That 1100 is a cross-person interval, not a lifespan. Noah's SP primary death retains File_18's inclusive/harmonic qualification; the lower ordinary companion is not substituted.
All 75 ordered endpoint-role pairs and 600 independent quarter-phase triples are retained in the evidence. There are 150 exact partitions overall, of which 36 have positive residuals. Exact preservation requires equal physical offsets at the three vertices. The nearest negative residual is−10 (Shem birth→Noah death); the held quarter phases cannot change its sign. An excluded pattern is not an excluded source record.
The two 500 relations and the two 600 relations keep their distinct event meanings. In particular, Flood→Shem death is not a second Noah-begetting statement. The source contexts remain SP OFF/Terah0/full430 primary and MT restoredON/Terah60/full430, with same-Gear Noah-bound/Flood-bound500/100.
The prior-art lookup located C162's regular650−190=460 mechanism and C322's full source chains. It did not locate an explicit earlier report of these three named residual partitions within the inspected indexes and selected passages. Older cumulative460+30=490 and Noah→Flood600=110+490 constructions use different endpoints or operators. This is a bounded locator result, not a claim of repository-wide novelty. The current partitions follow from inherited source durations and translation; they do not add independent historical witnesses or prescribe an E expansion.
Verification and limits
678 main checks and 16 frozen-input/predecessor authentication checks passed. A second main replay produced byte-identical DATA/RESULTS. Independent review and its scope are recorded in the evidence. All frozen originals and standing controls remain unchanged. Verification counts are not independent-witness counts.
Finite endpoint consequences, not fresh corroboration. No new chronology, source node, phase, operator or selector is admitted.
Mirror/529 focus: K=529, E=25/23, P=70/69. Global paired Mirror January AD1; local junction January AD2; no civil year zero. Regular Gears are Noah/Shem/Flood only. SP minus-one person companions remain local to SP Noah/Shem; Flood close is a separate boundary. No upstream/cumulative Gear, new endpoint or phase, fitted anchor, global axis, primer reopening, canonical or graph edit. Capture now; canonize later. Source identity, context, modal binding, generated coordinates and phase ancestry stay distinct.
Decision after this result
C328, proposed and unexecuted: Test the same residual construction across the four already admitted MT Cainan/Terah contexts, holding SP OFF/Terah0 and full430 fixed. Which residuals depend on selecting restoredON/Terah60?
The positive490 relation is exact in the held context. Its source and interpretive force depend on whether that context is uniquely required or one admitted choice, so the next test varies only the existing two binary context switches.