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C677 — Generate the120 field from two40 brackets

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

C677 — Generate the120 field from two40 brackets

Question

Does the supplied80 translation determine the entire enclosing field?

Inputs

{
  "lower_bracket": [
    2891,
    2851
  ],
  "translation": 80
}

Sources

[
  "Supplement A §4.4"
]

Opened utc

2026-09-28T01:11:27.519699+00:00

Results

{
  "upper": [
    2971,
    2931
  ],
  "ordered_field": [
    2971,
    2931,
    2891,
    2851
  ],
  "gaps": [
    40,
    40,
    40
  ],
  "center": 2911,
  "center_shift": 40
}

Finding

Translating the40 bracket by80 generates three consecutive40 intervals across a120 envelope. Its center2911 is40 above the lower bracket’s center2871. The repeated40s are consequences of the supplied width and translation.

Reassessment

Insert the separately supplied70-wide Enoch body at this common center.

Checks

{
  "upper": true,
  "field_gaps": true,
  "center": true
}

Closed utc

2026-09-28T01:11:27.520076+00:00

Record provenance

Exact record hash: ef0b559f087799e8c71d4e2f7907fc4954945b043c34aa5aa477203bbbf23941

Source journal: Research_Cycles/C0632_C0731/journal.json

Edition and provenance

C677.md

SHA-256 667265ea0736168525d7df24e3545296d1efb4cca815177906eb671a706b588a

C480–C1634/Research_Cycles/C0632_C0731/journal.json#C677