# Jubilees: candidate whole families for the C732–C831 cycle

Preparation only. No numbered research step, journal entry, source amendment, or fresh verification of ancient manuscript readings is claimed. Sources were read locally. The accompanying packet contains 18 literal tables (90 rows), 15 exact source excerpts with line locators, and six hashes. C731 synthesis and the Research Strategy were read to avoid repeating the prior calendar, retained-core, or indexed-field calculations.

## Best new use

BJ supplies a useful extension of the existing grammar: **deleting one genealogical name changes the index by one, while deleting the associated duration changes the chronological prefix by its own source weight**. The weight is 57 in the File53 BJ reconstruction, compared with 130 regular and 460 cumulative in the already controlled LXX row. These cannot be inferred from the index count alone. The complete four-row BJ deletion ledger can test this directly, and the complete 22-row creation-work/head table supplies the independent index object.

After that, File20’s surface chronology versus its reconstructed biological spine offers a whole path with genuine residuals. It can show where a preferred 70-year register fits the transmitted display and where the source data resist a simple explanation. This serves the Strategy better than another list of detached 23-multiples.

## 1. The complete index object and its deletion map

**Literal object:** File53 §2, lines 192–213, lists all 22 works, their day categories, and patriarchal parallels. Day counts are `7|1|4|3|3|4`. The patriarchal list is Adam, Seth, Enosh, Kenan, Mahalalel, Jared, Enoch, Methuselah, Lamech, Noah, Shem, Arpachshad, Shelah, Eber, Peleg, Reu, Serug, Nahor, Terah, Abraham, Isaac, Jacob.

The complete retained-Cainan comparison can be generated by inserting Kainan between positions12 and13. For a surviving original index `i`, the retained-state index is `i` through12 and `i+1` from13 onward. Kainan receives13; Jacob receives23. Deleting that position reverses the relabelling on the surviving nodes, without claiming an inverse chronology operation or decimal reversal.

**Whole-family test:** preserve order and all22 named correspondences, count the six day blocks, verify that the surviving prefix Adam–Arpachshad is fixed while the ten-node Shelah–Jacob suffix moves one index. This is a labelled-list operation, not a 70-year chronology conversion. File53 §16 extends the expunged index to Levi23, Kohath24, Amram25, Moses/Aaron26; the analogy of23→25 under E is source theological interpretation, not permission to insert two new people or chronology rows.

**Connection:** C731’s File68/69 constructions already separate position, local interval, and accumulated duration. BJ adds a source-explicit reason to separate cardinality from time weight. The work/head parallel is structural inference in File53; it must not be described as an independently established one-to-one ancient intention.

## 2. The complete four-row chronological deletion ledger

**Literal object:** File53 §3A.1–2, especially lines291–300:

| Role | Original BC | Secondary expunged BC |
|---|---:|---:|
| Creation | 3856 | 3799 |
| Flood | 2549 | 2492 |
| Kainan | 2482 | removed |
| Shelah | 2425 | 2425 |

The source states Kainan→Shelah57 and says to retain Shelah and all later dates. This determines the two upstream shifts of−57. The original full path has gaps `1307|67|57`; after removing Kainan and his birth interval, the surviving path Creation→Flood→Shelah has `1307|67`. Creation→Flood is conserved. The original Flood→Shelah124 contracts to67. The global span1431 contracts to1374. These are proposed checks derived from the literal packet, not extra source inputs.

The common operation is an edge contraction with a fixed downstream anchor. A birth-index count falls by1, but the date prefix falls by57. In the LXX comparison the corresponding source row supplies130 regular and460 cumulative; the BJ packet supplies no Cainan lifespan from which to construct a BJ cumulative460. Do not manufacture that fourth value.

**Boundary test:** moving Shelah−57 along with the upstream nodes would preserve the old1431 rather than remove the birth interval; moving only Creation would destroy the supplied1307 antediluvian span. The scope of the prefix action is the explanatory content.

**Source status:** the expunged chronology is explicitly a secondary reconstruction in File53. It does not replace the historical/narrative Cainan-retained ledger. Dean’s controlling SP→BJ `7+1300` derivation remains in force; preservation of1307 is one inherited span, not independent BJ corroboration of1300.

## 3. Why2450→2400 requires two different starting roles

The source’s primary pair is Fall3849→rest1399=2450. Its companion Creation3856→Conquest1406 also has2450; translating both endpoints−7 links those two pairs. Deleting Kainan57 from Creation3856 yields3799, and3799→rest1399 is2400.

The displayed difference2450−2400=50 decomposes as57−7. It therefore combines a57-year deletion with the choice of Creation versus Fall start. Applying−57 to the **Fall**3849 instead would produce3792 and a2393 duration to rest. Applying the compressedCreation3799 to **Conquest**1406 also gives2393. Those alternatives are useful controls on the exact role pairing; they are not rival source chronologies to promote.

This is a clean bridge to Rounded grammar: a round total results from an explicitly retained endpoint choice and a local deletion. It does not mean all BJ years were rounded or that57 is a universal substitute for50.

## 4. Strong reflection exists, but on a selected comparison object

File53 §3A.4 explicitly measures **original** Noah/Shem/Flood nodes from compressedCreation3799 and rest1399. Its four pair rows are `(650,1750),(1150,1250),(1250,1150),(1750,650)`. They imply comparison coordinates3149,2649,2549,2049. These four coordinates have reflection `x→5198−x`, with center2599. Their source roles pair Noah-birth/Shem-death and Shem-birth/Flood. Noah-death2199 belongs to the separate800-year trisection and is not closed under this four-node reflection.

This field must remain separate from the §3A.2 expunged chronology: that table explicitly places Flood2492, whereas the reflection uses originalFlood2549. Mixing2492 into the latter set destroys its supplied pair equality. No new rule for moving every ancestor’s death date should be invented from the phrase “pre-Shelah chronology.”

Two additional controls matter:

- The chiasm-table Shem2649/2049 values are implied display coordinates, not new primary anchors. File20’s actual/ideal discussion supplies Shem2650, and Dean’s earlier terminal2050 remains a separate controlled state.
- The primary2450 field’s forward interval sequence `700|500|100|350|150|650` can always be listed backward, but it is not itself a palindromic gap sequence. File53’s broad literary “chiastic” claim must be distinguished from exact closure under a numerical reflection. The2400 four-node comparison does supply such closure.

This is worth at most one bounded positive reflection test plus one state-transfer check. It should not divert the cycle into many boundary probes.

## 5. Complete reconstructed spine versus surface chronology

**Literal objects:** File53 §13A and File20 §§7A2.1–5 provide:

| Role | Reconstructed AM | Reconstructed BC | Surface AM |
|---|---:|---:|---:|
| Abraham birth | 1876 | 1981 | 1876 |
| Isaac birth | 1976 | 1881 | 1987 |
| Jacob birth | 2036 | 1821 | 2046 |
| Egypt entry | 2166 | 1691 | 2171 |

The source ordinal conversion is `BC=3857−AM`, since3856BC isYear1. The reconstructed path has gaps100|60|130; the literal surface path has111|59|125. The AM offset vector is0|11|10|5. Its adjacent difference is+11|−1|−5, summing to the total displacement+5. Thus local compensations explain why a large eleven-year difference at Isaac leaves only five years at entry. Neither one uniform translation nor one uniform dilation maps the complete spine.

Surface entry1686→Conquest1406=280=4×70, while reconstructed entry1691→1406=285. This is an exact source-conditioned endpoint difference. The source’s claim that preference for70-year cycles caused the conflict is historical interpretation. Most notably, its prose says Isaac-to-Jacob60 became70, while the displayed surface AM dates imply2046−1987=59. Preserve the59 calculation and record the prose tension; do not silently replace either input.

The surface Jacob death2188AM provides one additional full-path continuation: entry2171→death2188=17, preserving the last17 despite birth2046→death2188=142 against the stated147. A reconstructed death2183AM/1674BC follows from reconstructed birth2036+147; mark it generated, not a literal date in the supplied table. Both entry and death then have the same+5 AM displacement, retaining the terminal17-year interval.

**Synthesis value:** the family illustrates two successful mechanisms at once: local repartition before entry, followed by translation of a retained terminal interval. It also records an actual source tension which the current grammar does not erase. Four or five labelled nodes are more informative than rechecking an isolated280.

## 6. A compact positive2450 bridge after the deletion/residual work

File20 §7A.10 supplies two460-year bookends, Creation3856→Jared3396 and call1906→Exodus1446, translated1950 apart. The early460 comes from the complete supplied begetting list130+105+90+70+65; this is an SP-derived BJ list, not a new independent chain. The late460 expands underE to500 and reachesConquest1406 with call1906 held.

The five-node union `(3856,3396,1906,1446,1406)` has gaps `460|1490|460|40`, total2450. The first four nodes have bilateral gap pattern460|1490|460, centered at2651; the final wilderness40 is an appended completion. These generated geometric descriptions may be tested without promoting2651 into an event. The source’s displayed regrouping460+1950+40 is one coarse path, while the full five-node path retains both translated bookends. Expanding only the last460 while retaining the prefix gives the final40 as a Key gain, exactly the retained-component construction established in C731.

There is a bounded NT duration interface in File43 §4: its source heads5326 and2876 also differ2450. File43 generates them from a70-year carrier with counts76 and41 above the6BC bracket, so the gap is35×70. BJ measures2450 as50×49. The equality `35×70=50×49=2450` joins two admitted measurements of a duration. It does not identify their heads, transport the22-head BJ list to the NT, or establish direct literary dependence. The22×490 Alpha-Omega material is explicitly non-driver typological reception context and should remain secondary here.

## Recommended selection order

1. Freeze and reconstruct the whole22-row index and its Cainan insertion/deletion.
2. Reconstruct every supplied row of the57-deletion chronology; attach index versus duration measurements.
3. Explain50 as57−7 using the exact2450/2400 role choices.
4. If useful, test the genuine four-node reflection and its mixed-comparison domain once.
5. Reconstruct the whole biological/surface path and locate its residual support.
6. Extend the path to the retained17-year Jacob terminal, identifying the generated reconstruction.
7. Join the existing retained-core grammar to the five-node2450 bookend path.
8. Record the NT2450 duration interface only after both complete source constructions are named.

These are candidate research units for root selection, not an attempt to prescribe a fixed number of numbered steps. Reassess after each executed unit. Avoid older abridged SP–BJ offsets as a fresh whole-genealogy result, Enoch solar-compression displays, remote mirrors, Noah/Shem Gear expansion, quarantined primers, and second decimal inversion.