C1583 — Inverse Flood nodes join the Jubilee and Babylonian families

September 29, 2026 · Bounded continuation after C1582.

Question: How do the supplied SP Regular and MT Cumulative inverse Flood nodes connect the existing families?

Connected result

Dean's further observation connects the intermediate Flood nodes themselves. The SP Regular original path from Nativity to Conquest to Flood is 6→1406→3106 BC, with legs 1400 and 1700. Reversing those original legs once gives

This is the inverse Flood node inside the accepted SP Regular path to 14306. It lies 9800 = 20×490 years before Conquest. Conquest 1406 BC to AD 65 supplies another 1470 = 3×490, using civil counting without a year zero. Thus

The MT Cumulative Flood at 4836 BC, retained by its Conquest-held inverse construction, provides an additional named division:

The 13 + 7 + 3 chain joins SP Regular inversion, MT Cumulative inversion, Conquest and AD 65. Grouping its first two legs gives the user's 20 + 3 division; grouping its final two gives 13 + 10. Its whole 11270 interval also translates the earlier MT Creation→SP inverse cumulative Flood pair 14006→2736 BC forward by exactly 2800 years at both endpoints, reaching 11206 BC→AD 65. The same interval therefore has both same-side and cross-axis placements, with the civil conversion explicit. [Comparative study §§3.2,7.2; Style Guide civil-span rule; C1583]

The second observation uses the MT Cumulative path. Its original Flood–Conquest leg is $4836-1406=3430$, which is self-reversing. With Conquest held, the inverse Flood stays at 4836. The Nativity extension then gives

This extends the Babylonian comparison through the two completed inverse cumulative Flood nodes:

Here 7536 is the MT inverse cumulative Flood; 5436 is the SP inverse cumulative Flood, already coincident with ordinary Rounded MT Cumulative Shem. Their 2100-year separation follows from their reversed lower legs, $3430-1330=2100$, and survives the shared Nativity extension. From restoration, the two Flood nodes stand 100 and 70 units of 70 earlier. This places the new 7000 within the existing 4900 comparison through one named intermediate node. [C1583]

Verification and provenance

All 27 exact checks passed. The verifier uses integer division and remainders for reversal of original duration segments, and the civil coordinate conversion BC B → 1−B / AD A → A. Independent arithmetic review agreed with both supplied links, the 13|7|3 partition and the 2800-year translation. No second decimal reversal was used.

The source nodes 11206 and 7536 are already in the supplied comparative study (§§7.2 and 3.2). The new contribution is their joined target intervals and common named partitions. The source excerpt preserves the Style Guide’s no-year-zero rule. The current families explanation was updated from version 3; the completed C1483–C1582 research packet remains unchanged.

The accompanying evidence packet contains C1583.json, its C1582 predecessor, controlling excerpts/source, verify_flood_links.py, results and the updated reader. Run python3 verify_flood_links.py to replay this bounded arithmetic.

Reassessment: These intermediate-node connections strengthen the family explanation. Continue the planned source-based synthesis of the MT–LXX cumulative 910 translation using existing row reconstructions; do not replace it with an unconstrained search for new endpoint matches.

C1582 predecessor SHA256: b7addc59554061e63897a05b62c4aa61bb1479c6be540d4ebb1714b3c626debe
C1583 record SHA256: aa1b7721d35e8629ef794233dd5b0ddf8d4e8772d75d799357d098b0e97c933e