C217 — The generated midpoint remains outside all retained Noah-death rails

23 September 2026 · Step 12 of 60, continuing C205.

The absence of 3381 and 3383 is not repaired by choosing another allowed Noah Gear or the SP companion rail. Both generated midpoint images fail the finite MT/SP Noah-death inventory and, more broadly, the retained 48-row Noah/Shem/Flood register.

The original 2757/2759 midpoints remain source-qualified companion Noah deaths. The failed image test is therefore a limitation of the expansion’s source domain, not a rejection of the original midpoint. No fourth Gear, fractional Gear or extension of the companion rule is introduced. This resolves the most immediate possible source repair of C209.

Evidence and scope

K=529 and r=25/23. BC base B means (B+1)t/Bn BC; reflected AD base A means AD At/(A+1)n. Their civil span is B+A in both seasonal components, with no year zero. Signed paired centers are −B and +A; the center model uses components ±1/4 and restores this separation after dilation. An interval center is geometry, not an event or a proposed universal Mirror axis.

Regular Gears are restricted to Noah/Shem/Flood. Creation and Conquest retain fixed source-field members; no fourth Gear is admitted. Generated coordinates, source-field membership and stored graph incidence are distinct. File_18/File_09 and the frozen C127 graph are unchanged. Earlier N01/N03 qualifications, the missing Shem join, closed primers and unestablished original Reports 11–25 remain unchanged. This packet selectively uses prior evidence; it does not rerun completed campaigns. Assertions and alternative placements are not independent historical witness counts.

5 step-specific checks and 19 frozen-input checks passed. Exact inputs, results and predecessor hashes are in the accompanying JSON records; calculation code is in the evidence archive. Source dependencies are identified in the body and frozen in sources/.