# C675 — Recover all phase-envelope measurements

## Question

Which widths belong to each suffix or cross-phase measurement?

## Inputs

```json
{
  "corresponding_widths": [
    34,
    40
  ],
  "phase_offset": "1/2"
}
```

## Sources

```json
[
  "Supplement A §4.3; C672–C674"
]
```

## Opened utc

2026-09-28T01:10:59.990616+00:00

## Results

```json
{
  "columns": [
    "inner_cross",
    "same_suffix",
    "outer_cross"
  ],
  "rows": [
    [
      "67/2",
      34,
      "69/2"
    ],
    [
      "79/2",
      40,
      "81/2"
    ]
  ],
  "coordinate_width_gain": 6,
  "scalar_normalization_gain": "11/2"
}
```

## Finding

The full phase table is33.5/34/34.5 before and39.5/40/40.5 after. Outward endpoint motion adds6 to every matched measurement, whereas34.5→40 adds5.5 because it changes measurement class. Those two statements are compatible once the measured objects are named.

## Reassessment

Resolve the source’s recovered35 row using exact phase coordinates.

## Checks

```json
{
  "rows": true,
  "uniform_gain": true,
  "different_class": true
}
```

## Closed utc

2026-09-28T01:10:59.990859+00:00

## Record provenance

Exact record hash: `80b6104a4a9454c430bb592a91bf17c53d61c2ec2c1a6df99ecafc6badf7b7ae`

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