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C686 — Unify the690 core and34.5 micro seed

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

C686 — Unify the690 core and34.5 micro seed

Question

Which parts of the two source constructions are exact scalar copies?

Inputs

{
  "micro_seed": "69/2",
  "scale": 20,
  "native_core": 690
}

Sources

[
  "Supplement A §§1,4,6"
]

Opened utc

2026-09-28T01:13:24.014732+00:00

Results

{
  "micro_native_P_E": [
    "69/2",
    35,
    "75/2"
  ],
  "twentyfold": [
    690,
    700,
    750
  ],
  "twentyfold_normalized40": 800,
  "retained_bracket810_over20": "81/2"
}

Finding

The native/P/E core sequence690→700/750 is exactly twenty times34.5→35/37.5. The normalized40 would scale to800, so it remains a separate completion. The810/20=40.5 comparison is numerical and does not establish an endpoint map.

Reassessment

Trace the micro seed’s364-volume into the existing Actual/Rounded macro interface.

Checks

{
  "scaled": true,
  "normalization_distinct": true,
  "ratio": true
}

Closed utc

2026-09-28T01:13:24.015216+00:00

Record provenance

Exact record hash: 88a82a98769ff14a54acb300b8d0a816e66ef4160810b361291aead4fe825ba7

Source journal: Research_Cycles/C0632_C0731/journal.json

Edition and provenance

C686.md

SHA-256 4fea3d89380b51598fed22677e1d13b27be2b8c86369b7c5bd469e0c6a72602a

C480–C1634/Research_Cycles/C0632_C0731/journal.json#C686