C229 — The 7-and-10 split explains both macro width and center drift
23 September 2026 · Step 24 of 60, continuing C205.
The 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.
| Carrier gain | Leftward gain | Rightward gain | Left half | Right half | Half-width gain | Center gain |
|---|---|---|---|---|---|---|
| 46 | 460 | 322 | 230 | 161 | 391 | -69 |
| 50 | 500 | 350 | 250 | 175 | 425 | -75 |
Hence 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.
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.
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/.