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C1464 — Explain the LXX paired-Key join by its mode gap

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Study sequence: Covenant and Prophetic Key circuit, with exact limits (C1459–C1466) · Calendar Keys, phase & Sothic

C1464 — Explain the LXX paired-Key join by its mode gap

Question

Why do LXX cumulative-to-Exodus and regular-to-Conquest Priestly routes meet at386?

Sources

[
  "Comparative Study §4.3",
  "LXX mode difference500"
]

Opened utc

2026-09-29T01:19:39.207475+00:00

Results

{
  "head_gap": 500,
  "target_gap": 40,
  "head_gap_required": 500,
  "regular_output": 386,
  "cumulative_output": 386,
  "output_difference_formula": 0
}

Finding

The500-year LXX head gap is exactly(25/2)×40, the condition for the two head-held Priestly routes to share a target. The known386 join is an algebraic expression of that compatibility.

Reassessment

Apply the same fixed Exodus/Conquest comparison to the other two manuscripts, retaining every result.

Checks

{
  "join386": true,
  "criterion_exact": true
}

Closed utc

2026-09-29T01:19:39.208000+00:00

Record provenance

Exact record hash: 1c8a743eadabf9a6b202e7e68b557c234c8bdefba8afa10963f98bd9df4dbbd8

Source journal: Research_Cycles/C1433_C1482/journal.json

Edition and provenance

C1464.md

SHA-256 788608dcd6f8691990191714f6227d8ed38c113e1bcdc73378022c677f770c9a

C480–C1634/Research_Cycles/C1433_C1482/journal.json#C1464