C244 — The two families create a 529→575→625 center-separation ladder
23 September 2026 · Step 39 of 60, continuing C205.
At each common expansion stage the 13-fold and 11-fold intervals share Creation. Their width difference is 2 times the carrier, so their center difference is exactly one carrier.
| p | Stage | 11-fold center | 13-fold center | Center gap |
|---|---|---|---|---|
| 3 | 0 | -3019/2 | -1961/2 | 529 |
| 3 | 1 | -2513/2 | -1363/2 | 575 |
| 3 | 2 | -1963/2 | -713/2 | 625 |
| 5 | 0 | -3015/2 | -1957/2 | 529 |
| 5 | 1 | -2509/2 | -1359/2 | 575 |
| 5 | 2 | -1959/2 | -709/2 | 625 |
The resulting 529→575→625 center ladder keeps 529 central to the analysis. Source support differs by stage: both right endpoints are sourced at stages zero and two in these two chains; the 11-fold right endpoint at stage one is generated. Equal arithmetic structure does not erase that qualification.
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.
12 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/.