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C682 — Separate translation from opening

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

C682 — Separate translation from opening

Question

Can one coordinate rule explain both the120 construction and the2940 closure?

Inputs

{
  "changes": {
    "translate80": [
      80,
      80
    ],
    "open10": [
      10,
      -10
    ],
    "open5": [
      5,
      -5
    ]
  }
}

Sources

[
  "C677,C680,C681"
]

Opened utc

2026-09-28T01:12:36.616587+00:00

Results

{
  "effects": {
    "translate80": {
      "center_change": 80,
      "width_change": 0
    },
    "open10": {
      "center_change": 0,
      "width_change": 20
    },
    "open5": {
      "center_change": 0,
      "width_change": 10
    }
  },
  "general_rule": "delta_c=(delta_U+delta_L)/2; delta_w=delta_U−delta_L"
}

Finding

Center and width provide a common language for two different mechanisms: translation moves the center while retaining width; symmetric opening widens the body while retaining center. The new sources instantiate both, so no single undifferentiated date shift explains the family.

Reassessment

Continue the admitted alternating ladder across the BC/AD boundary using civil elapsed time.

Checks

{
  "translation": true,
  "opening": true,
  "final": true
}

Closed utc

2026-09-28T01:12:36.616956+00:00

Record provenance

Exact record hash: a351a7a5c3fee6a9423402b95d80d68802fbbf922aa1712a0a73b450b4762a68

Source journal: Research_Cycles/C0632_C0731/journal.json

Edition and provenance

C682.md

SHA-256 35028dd30ec86177ff3073710ee530b2d8addc213ebf0fbb46ed4ad34bd1a966

C480–C1634/Research_Cycles/C0632_C0731/journal.json#C682