# C230 — Proportional Creation movement preserves a scaled prefix

23 September 2026 · Step 25 of 60, continuing C205.

Moving Creation with the same macro map preserves the proportional attachment: the prefix is 868rⁿ, the Creation-to-Noah width is 8125rⁿ, and their center offset is 434rⁿ.

| p | Stage | Moved Creation | Creation-to-Noah width | Center offset |
|---|---|---|---|---|
| 3 | 0 | -4419 | 8125 | 434 |
| 3 | 1 | -110481/23 | 203125/23 | 10850/23 |
| 3 | 2 | -2762163/529 | 5078125/529 | 271250/529 |
| 5 | 0 | -4417 | 8125 | 434 |
| 5 | 1 | -110435/23 | 203125/23 | 10850/23 |
| 5 | 2 | -2761105/529 | 5078125/529 | 271250/529 |

This recovers the common expansion algebra at the cost already identified in C04: the moved Creation coordinate is fractional at stages one and two and is outside the native annual source field. It is a generated comparison origin, not a Creation Gear.

## 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.

**22 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/`.
