# Independent review of C1232–C1252

**Numerical and source review PASS: 45/45 checks.** Three reader clarifications are listed below; no numerical correction is required.

The review read all21 execution scripts and sealed findings, checked their21 bound artifacts, compared all12 source excerpts, and regenerated the complete MT/LXX paths from the frozen source row packet without running the numbered scripts. The final reader draft reviewed has SHA256 `a6cb32355311f08c1084a7069e47dd4e79670b50e4c48107f08837a260f37ff6`.

| Family | Independent result |
|---|---|
| Source and late path | The object is a strict Regular interval path, with Terah70, CainanOFF for MT, Shem+2 excluded and Moses1526 fixed. Jacob’s age at Joseph’s birth is91; Joseph’s age at Entry is39. Rounding90+40 preserves130; Entry→Moses350 completes the480-year Jacob→Moses tail. |
| Complete MT reconstruction | All25 nodes,24 intervals,23 literal source births, both Actual/Rounded columns and every displacement match. The heads are4112/4106; whole spans2586/2580. |
| Whole family | The five blocks are130|490|1030|130|800. They generate2580,2450,1960 and the declared6×430,5×490,4×490 descriptions. The130 bridge alone does not select the downstream node. |
| Rounding partition | All local changes reproduce129|801→130|800: Eber+1; Reu−2; Nahor+1; Jacob→Joseph−1; Joseph→Entry+1. Arphaxad2456 and Moses1526 remain fixed while Reu2327 becomes2326. |
| Biography comparison | Adam’s130/800 are separate biographical values. Two component equalities imply930. Shem’s100/600 then gives100+930−600=430; no independent placement is added. |
| Cross-tradition transfer | The common begetting masks contribute4u and5u/2, yielding SP530|1050 and native LXX660|1050 after one Cainan130 insertion. The full26-node LXX path gives5486/3960 and gap1380=600+650+130. Lifespan amplitudes are invisible to these regular-path measurements. |
| SP scope | The530|1050 result is the declared post-Flood row comparison. Transmitted4411 remains a supplied Rounded block;2885 and1075 are comparisons from that block. No complete SP Rounded chronology is newly admitted. |
| Finite variants | All four states were rebuilt by changing the source Terah edge and inserting Cainan once. The initial130/490 differences are invariant. The exact selected cycle lengths and930 total select only the base within this finite nonnegative field. Each130/800 component separately tests its own switch. |
| General versus finite constraint | Arbitrary130/800 partitions are not exhausted by that finite field. The Actual129|801 comparison directly establishes that930 alone does not determine its internal cut. The131|799 diagnostic is correctly not a source admission. |

The integer bridge is complete. Dividing by10 gives `43m−49n=13`. Since `43×8−49×7=1`, reduction modulo49 gives `m≡6`. Therefore every integer solution is `m=6+49k`, `n=5+43k`; direct substitution proves the converse. Both are positive exactly when `k≥0`, so6/5 is the smallest positive pair for these fixed coefficients. This arithmetic result does not identify Moses or authorize additional chronological targets.

The reader draft correctly distinguishes typology from arithmetic, a composite path from a biography, source-supplied SP blocks from derived fields, and dependent displays from additional constraints. It makes no historical-redaction, statistical-independence or global-uniqueness claim.

## Reader clarifications

- State the base near the opening: **Terah70, native CainanOFF, Shem+2 excluded**. The bound model states these correctly; the standalone prose should carry them too.
- Replace “ordered genealogy” with **“ordered Regular chronological path”**, since the tail contains Entry/event intervals.
- Expand the correct shorthand to **“Jacob’s age at Joseph’s birth91→90 and Joseph’s age at Entry39→40.”** This avoids the earlier preparation’s occasional ambiguous “Joseph91” wording; root’s numerical model already assigns both ages correctly.

No source, numbered journal, root model or reader file was changed by this review. These two new review files are frozen on delivery.