# Source and novelty review for C1433–C1482

Read-only review, September 29, 2026 UTC. Scope: declared MT, LXX and accepted SP Creation/Fall–Flood inverse spines. No source amendment and no second decimal reversal.

## 1. Which source edition governs

| File | Bytes / lines | SHA256 | Role |
|---|---:|---|---|
| `project_sources/40-File_52c.Rounded_Whole_Span_Inverse_Detailed_Study_Draft.md` | 138005 / 1673 | `781589bbd71b25946b22bd31a2d779bbf46c68b86483904de486ae5964225eb7` | Older September 26 MT study; ends its substantive backbone treatment at §3.6. |
| `upload/File_52c.Rounded_Whole_Span_Inverse_Detailed_Study_Draft (2)(1).md` | 253860 / 3181 | `a5ea84562101158b60d0cf296765d6eff38e7a2abda4e74ad1b353dfd13b9530` | Later September 27 MT study, with §§3.7–3.15 and Actual-anchor analysis. |
| `three_tradition_bridge_20260928/prep/sources/File52c_latest.md` | 253860 / 3181 | `a5ea84562101158b60d0cf296765d6eff38e7a2abda4e74ad1b353dfd13b9530` | Byte-identical frozen copy of the later upload; inherited C1432 MT controller. |
| `upload/490d_LXX_Reversed_Spines_and_Accepted_SP_Solution_20260928(1).md` | Comparative supplement | `3083e334c2834b5b53aa2acab6aa957c1e21bd28ccb404eb91ec2158d859acdb` | Governing September 28 three-MSS comparison and final SP decision. |

The older mounted File52c does not supersede the later upload merely because it was attached again. The later upload and frozen copy agree exactly. The older and later File52c §§3.1–3.6 have the same substantive MT spine content; later additions extend the interpretation rather than replace those constructions. Neither inspected File52c edition contains the full September 28 LXX/SP comparative supplement. Use the supplement for all six source pairs and accepted SP choices, with later File52c as the MT control.

The prior reader explicitly declares this same division of source authority in its opening source note and in “The same spine operation in LXX and SP.” C1432 uses it again in Sources S1–S2.

## 2. Controlling source choices and corrections

The comparative supplement §§2.1, 3.1–3.2 and 7.1–7.5 supply the six selected paths:

| Construction | Original head | Original Flood | Two-stage inverse head | Three-stage inverse head |
|---|---:|---:|---:|---:|
| MT Regular | 4106 | 2456 | 12026 | 14726 |
| MT Cumulative | 14006 | 4836 | 12026 | 14726 |
| LXX Regular | 5486 | 3236 | 10436 | 13136 |
| LXX Cumulative | 14896 | 5746 | 10936 | 13636 |
| SP Regular, accepted Fall | 4406 | 3106 | 11606 | 14306 |
| SP Cumulative, accepted Fall | 13396 | 4716 | 11416 | 14116 |

Every date is BC. Conquest is 1406 and Nativity is 6. The LXX retains native Cainan and the full-430 comparison frame. Its current Lamech inputs are 182/753, with Rounded cumulative life 755. The −215 Covenant target in C1432 does not translate that LXX source spine.

Material corrections already settled in supplement §9:

- Native Rounded LXX Regular Flood is **3236**, not 3226; Rounded SP Regular Flood is **3106**.
- SP Fall is **4411−5=4406** and **13401−5=13396**, retaining lower Flood members 3106 and 4716. The five-year adjustment is already accepted, not a new provisional hypothesis.
- The Regular SP reversed total is **14300**, giving **14306**. The earlier 12906 head is superseded.
- **11606−4406=7200**; **11606−4106=7500**.
- **9890=23×430**; **11270=23×490**.
- The LXX AD 30→37/65 comparison begins at the **10436** two-stage head, not 13136. The three Egyptian/Sothic ratios remain distinct.
- Off-grid SP post-reversal normalization, 1310-leg upper-member executions and crossed-boundary 9680 alternatives belong to discovery history, not additional final SP solutions.
- The generated SP intermediate **5436** shares the MT cumulative Shem coordinate; its generated role remains distinct. The MT **3456** comparator in C1432 is inverse cumulative **Shem**, not inverse Flood.
- Actual MT Year-6 14006/4116 and LXX Year-6 5496 are distinct from completion endpoints 14004/4114/5494. C1432 §4 properly uses the former set.

## 3. What is already established and must not be called new

| Claim family | Already present in supplied material | Prior reader / C1432 location |
|---|---|---|
| Six source spines, all intermediate nodes, final heads | Supplement §§2–3, 7 | Reader “Six spines, one reconstruction rule” |
| Common two→three-stage shift 2700 | Supplement §2.2 | Same reader subsection |
| Signed Cumulative−Regular head gaps 0, +500, −190 and their leg contributions | Supplement establishes all heads; LXX 500 explained in §3.3 | Reader six-spine table and signed comparison |
| Self-reversing cumulative legs 3430, 4340, 8680; 8680=2×4340, with changed position in SP | Supplement §§4.1, 7.5 | Reader “What survives reversal, and where” |
| MT/LXX/SP cumulative contractions 1980/3960/1980 | Direct source legs | Same reader subsection states all three explicitly |
| SP 300 translation preserving 9900 and 9890 | Supplement §7.4 | Reader “The accepted SP trunk recovers the MT Creation intervals” |
| SP 7000/10000 pair and 2700+300 explanation | Supplement §7.6 | Same reader subsection |
| MT→LXX cumulative Shem/Flood/target 910 translation | Supplement §4.1 | Reader “LXX connects the MT targets and SP heads” |
| LXX 13136→536 matches MT 14006→1406, 12600 | Supplement §4.2 | Same reader subsection; C1432 §1 extends its partition |
| LXX/SP 14306, 13306, 11606 head arrangement; original SP 1700 returns; LXX 5486-centered spans 8820/7820/6120 | Supplement §§6.2, 7.7 | Same reader subsection |
| Paired LXX Priestly paths to 386 and LXX 13636→MT 4114 = 18×529 | Supplement §§4.3, 5.2 | Same reader subsection |
| LXX actual coefficients 344/354/364, apparent-age 920+368, AD 30/37/65 relations | Supplement §§5–6 | Existing supplied supplement; incompletely summarized in reader |
| Three linked 11270 spans and 720/870 translations | C1432 §1 | Not yet integrated into prior reader |
| Reciprocal head conversion 13136↔14116 about Covenant 1866; 70×(161→175) | C1432 §2 | Not yet integrated into prior reader |
| 490 upper-leg gap = 485 Rounded caps +5 accepted Fall | C1432 §3 | Not yet integrated into prior reader |
| Year-6 5496/4116 and SP inverse Flood 2736 equal-step relation | C1432 §4 | Not yet integrated into prior reader |

Existing content may be integrated, clarified or linked to a new explanation. It should not receive a new-discovery label simply because the reader has not yet included it. In particular, the reader's “complete reciprocal mapping … remains to be established” remains correct for full paths, but should now be supplemented by C1432's established **head-level** reciprocal map and its explicit interior-node failure.

## 4. Strongest unanswered questions

1. **Explain the six inverse head placements from the original source differences and the digit operations in one bounded law.** The reader gives the gaps and cumulative contractions but not a compact joint derivation spanning every Regular/Cumulative pair. A useful result would explain why MT cancels, LXX leaves +500 and SP leaves −190 using the fixed source legs, including their different decimal lengths. It should retain the source-appointed partitions rather than infer a universal rule from naked heads.

2. **Extend C1432 at independently named interior incidences.** The known generated SP 5436 equals ordinary MT cumulative Shem. Ask whether its whole adjoining segment participates in a source-controlled relation, and whether any further interior matches follow from already admitted translations or Keys. The Covenant dilation is known to fail at shared 4106, so an arbitrary whole-path affine fit would not answer this question.

3. **Explain the SP–LXX 1700 return as a composition, if one exists.** Supplement §7.7 names it as a possible reciprocal relationship. Is the return derived from a small combination of the shared original tail, admitted Prophetic expansion and SP source intervals, or does it impose another source-specific equality? This is still useful even if the answer distinguishes a head relation from a path map.

4. **Derive the preserved MT/SP cumulative gap and the exceptional LXX displacement node by node.** Equal 1980 contractions make the MT–SP cumulative source-head gap survive; LXX contracts an extra 1980. Connecting this to the local lifespan differences would make the contraction table explanatory. Any newly presented head difference should be classified as an algebraic consequence of the source contractions, not additional independent evidence.

5. **Reduce the cross-family circuit to nonredundant source constraints.** C1432 joins the 490 cap/Fall gap, 11270 bridge, 980 head shift and Covenant 161→175 law. Determine which equalities are consequences of the fixed inputs and which additional source relations make the circuit close. This directly serves Strategy §§5D–5G and §6: connected families with a small grammar, without inflating the number of independent findings.

An optional concrete arithmetic lead for question 2 is **14116−14006=110** together with **14006−5436=8570** and **8680=8570+110**. These are not explicitly interpreted in the inspected comparative study, prior reader or C1432. They share the already known SP-generated/MT-Shem coordinate 5436. Whether the 110 has a source role beyond being the resulting remainder requires checking the cumulative terminal convention (the SP source is reconstructed through Joshua at 1296 in supplement §2.1) and the full row sums; do not immediately label it a new Joshua identity.

## 5. Strategy relevance

The current request fits Strategy Stage C (anchored operations), D (provenance-bearing circuits), E (declared partial symmetries) and F (conserved combinations), supported by the completed local source reconstruction. The useful output is a short explanation joining the three traditions through their source partitions and named interfaces. A larger catalogue of divisible head-to-target spans would contribute less.

Keep the accepted SP Fall inputs fixed throughout. No fresh pressure test, broad target scan, second decimal reversal, global reapplication of −215, or inferred redaction sequence is needed. Distinguish observed source compatibility from an identity forced by the admitted operations. The reader addition should prioritize any new explanatory law and incorporate C1432 as inherited progress.