{"id": "c229", "title": "C229 — The 7-and-10 split explains both macro width and center drift", "filename": "490d_C229_529_Mirror_Bounded_Step_20260923.md", "role": "Research action", "step": 229, "sha256": "e45b5d5927f87b2fa328019c315e68d3708ee1bb16124ad3c40440993dee6f0b", "bytes": 1990, "origins": ["C01–C479/reference/490d_C01_C265_Complete_Window_Archive_20260923.zip!/workspace/mirror_C206_C265_529_Expansion_Centers_20260923/C229/490d_C229_529_Mirror_Bounded_Step_20260923.md"], "download": "/sources/e45b5d5927f87b2fa328019c315e68d3708ee1bb16124ad3c40440993dee6f0b.md", "format": "md", "derived": false, "tags": ["Regular", "Cumulative", "Mirror / 529"], "excerpt": "C229 — The 7-and-10 split explains both macro width and center drift\n\n23 September 2026 · Step 24 of 60, continuing C205.\n\nThe cumulative left side has coefficient 10 and the Noah right side coefficient 7 around p. Their sum controls the 17-fold width; their difference controls the center.\n\n| Carrier gain | Leftward ga", "content": "# C229 — The 7-and-10 split explains both macro width and center drift\n\n23 September 2026 · Step 24 of 60, continuing C205.\n\nThe cumulative left side has coefficient 10 and the Noah right side coefficient 7 around p. Their sum controls the 17-fold width; their difference controls the center.\n\n| Carrier gain | Leftward gain | Rightward gain | Left half | Right half | Half-width gain | Center gain |\n|---|---|---|---|---|---|---|\n| 46 | 460 | 322 | 230 | 161 | 391 | -69 |\n| 50 | 500 | 350 | 250 | 175 | 425 | -75 |\n\nHence 230+161=391 while 161−230=−69; likewise 250+175=425 while 175−250=−75. This accounts for the whole center movement from the declared 7/10 decomposition. It introduces no additional endpoint, Mirror axis or temporal unit.\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"}]}