C220 — The next iterate leaves the annual endpoint lattice

23 September 2026 · Step 15 of 60, continuing C205.

A third expansion gives width 203125/23, endpoint gain 16250/23 and interval-center gain 8125/23. The right endpoint is nonannual for both retained Creation anchors.

The completed 529→575→625 carrier ladder therefore has a precise endpoint boundary in this construction. Continuing the rational formula is valid as generated geometry, but the next result cannot be identified with an annual entry in the held source tables. This is stronger than simply finding no matching name: the coordinate itself has left the retained annual lattice. Rounding is not part of the declared operation.

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.

8 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/.