{"id": "c207", "title": "C207 — Half-width gains of 299 and 325", "filename": "490d_C207_529_Mirror_Bounded_Step_20260923.md", "role": "Research action", "step": 207, "sha256": "45884eb075f04c65d2b39af1e8c05489f46be064c1dd1b034032bd233dd956e5", "bytes": 1878, "origins": ["C01–C479/reference/490d_C01_C265_Complete_Window_Archive_20260923.zip!/workspace/mirror_C206_C265_529_Expansion_Centers_20260923/C207/490d_C207_529_Mirror_Bounded_Step_20260923.md"], "download": "/sources/45884eb075f04c65d2b39af1e8c05489f46be064c1dd1b034032bd233dd956e5.md", "format": "md", "derived": false, "tags": ["Regular", "Mirror / 529"], "excerpt": "C207 — Half-width gains of 299 and 325\n\n23 September 2026 · Step 2 of 60, continuing C205.\n\nHolding Creation fixed halves each right-endpoint gain: 598 becomes 299 and 650 becomes 325. Consequently the interval centers themselves follow Pₐ, and 299×25/23=325. This is an affine midpoint identity, not an additional histo", "content": "# C207 — Half-width gains of 299 and 325\n\n23 September 2026 · Step 2 of 60, continuing C205.\n\nHolding Creation fixed halves each right-endpoint gain: 598 becomes 299 and 650 becomes 325. Consequently the interval centers themselves follow Pₐ, and 299×25/23=325. This is an affine midpoint identity, not an additional historical span.\n\nFor N02 the centers are −1961/2, −1363/2 and −713/2; N04 translates every center by +2. The center sequence is geometrically useful because it records exactly how the 13-fold interval grows while keeping its source origin fixed. Its dependency is C01’s endpoint ladder, not a second chronology.\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**6 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"}]}