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C678 — Derive the nested25|35|35|25 field

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Study sequence: Phase brackets and micro/macro calendar completion (C672–C691) · Calendar Keys, phase & Sothic

C678 — Derive the nested25|35|35|25 field

Question

What follows once the source70 and120 bodies share center2911?

Inputs

{
  "center": 2911,
  "outer_width": 120,
  "Enoch_width": 70,
  "source_Enoch": [
    2946,
    2876
  ]
}

Sources

[
  "Supplement A §4.5"
]

Opened utc

2026-09-28T01:11:43.642567+00:00

Results

{
  "nodes": [
    2971,
    2946,
    2911,
    2876,
    2851
  ],
  "gaps": [
    25,
    35,
    35,
    25
  ],
  "margin": 25,
  "Key_decomposition": [
    25,
    35,
    35,
    25
  ]
}

Finding

The two source widths and their common center force25|35|35|25. Each35 is P(34.5), each25 is E(23), but their sum is a retained-component construction rather than a newly defined whole120 Key image.

Reassessment

Distinguish the source’s scalar1470 closure from its coordinate1475 envelope.

Checks

{
  "source_Enoch": true,
  "gaps": true,
  "keys": true
}

Closed utc

2026-09-28T01:11:43.642795+00:00

Record provenance

Exact record hash: 6a61820ebb7e0772f460ab3438ba227612a57983e352c71197f9ccf96669d696

Source journal: Research_Cycles/C0632_C0731/journal.json

Edition and provenance

C678.md

SHA-256 1a2882f2f73f53bdbf266e8678625aa10296a20ce0493c308ab119b913aeb3b5

C480–C1634/Research_Cycles/C0632_C0731/journal.json#C678