{"id": "c212", "title": "C212 — The fixed SP 17-fold center crosses the 13-fold centers", "filename": "490d_C212_529_Mirror_Bounded_Step_20260923.md", "role": "Research action", "step": 212, "sha256": "9076c6d94be2b3755d84da6ce3906d8fab725c9ae2ec081137266d777037dbf9", "bytes": 2047, "origins": ["C01–C479/reference/490d_C01_C265_Complete_Window_Archive_20260923.zip!/workspace/mirror_C206_C265_529_Expansion_Centers_20260923/C212/490d_C212_529_Mirror_Bounded_Step_20260923.md"], "download": "/sources/9076c6d94be2b3755d84da6ce3906d8fab725c9ae2ec081137266d777037dbf9.md", "format": "md", "derived": false, "tags": ["Regular", "Inverse", "Mirror / 529"], "excerpt": "C212 — The fixed SP 17-fold center crosses the 13-fold centers\n\n23 September 2026 · Step 7 of 60, continuing C205.\n\nKeep the sourced SP 17-fold interval fixed and compare its center with each of the three 13-fold centers. Its signed offsets are +190, −109 and −434.\n\n| Chain | Fixed SP 17-fold center | 17-center minus s", "content": "# C212 — The fixed SP 17-fold center crosses the 13-fold centers\n\n23 September 2026 · Step 7 of 60, continuing C205.\n\nKeep the sourced SP 17-fold interval fixed and compare its center with each of the three 13-fold centers. Its signed offsets are +190, −109 and −434.\n\n| Chain | Fixed SP 17-fold center | 17-center minus successive 13-centers |\n|---|---|---|\n| 3 | -1581/2 | [Fraction(190, 1), Fraction(-109, 1), Fraction(-434, 1)] |\n| 5 | -1577/2 | [Fraction(190, 1), Fraction(-109, 1), Fraction(-434, 1)] |\n\nThe familiar 190 separation belongs to the initial 6877 interval. It is not an invariant separation from every expanded 13-fold interval. The later sign reversal simply means the moving interval center has passed the fixed SP 17-fold center; no new event or reversal of historical order follows.\n\n## Evidence and scope\n\nK=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.\n\nRegular 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.\n\n**4 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/`.\n", "evidenceLinks": [{"id": "d-68301ab760bfbe2e", "title": "File 18"}, {"id": "d-45851004c5864229", "title": "File 09"}]}