# C684 — Connect civil brackets with the micro gain

## Question

How do the supplied750 brackets and AD27→30 completion arise?

## Inputs

```json
{
  "civil_pairs": [
    [
      726,
      25
    ],
    [
      724,
      27
    ]
  ],
  "micro_input": "69/2",
  "AD_start": 27
}
```

## Sources

```json
[
  "Supplement A §§5.3–5.4"
]
```

## Opened utc

2026-09-28T01:13:00.121864+00:00

## Results

```json
{
  "civil_widths": [
    750,
    750
  ],
  "coordinate_translation": 2,
  "E_micro_gain": 3,
  "completed_AD_label": 30
}
```

## Finding

Both supplied civil pairs have width750 and differ by a uniform two-year forward translation. The separate AD27→30 completion uses the micro E-gain3. Equal durations and later completion are connected operations with separately supplied anchors.

## Reassessment

Close the three-calendar calibration triangle at the micro input34.5.

## Checks

```json
{
  "widths": true,
  "gain": true,
  "completion": true
}
```

## Closed utc

2026-09-28T01:13:00.122209+00:00

## Record provenance

Exact record hash: `16f3165d0ad36e19154aa17131c11fbedf5e7f7ece0ca2f8ed67e20274403d66`

Source journal: `Research_Cycles/C0632_C0731/journal.json`