# C533 — Uniform and mixed calendar branches

## Question

Can the completed299 and161 arms be treated as one uniform expansion?

## Inputs

```json
{
  "arms": [
    299,
    161
  ],
  "E": "25/23",
  "J": "300/299"
}
```

## Sources

```json
[
  "File60 §5",
  "C532"
]
```

## Opened utc

2026-09-27T23:59:21.577572+00:00

## Results

```json
{
  "all_E": [
    325,
    175,
    500
  ],
  "all_J": [
    300,
    "2100/13",
    "6000/13"
  ],
  "mixed": [
    300,
    175,
    475
  ]
}
```

## Finding

Uniform E preserves the partition as325+175=500. The mixed J/E completion is300+175=475 and is a different operation. Shared coefficients do not make the Keys interchangeable; source-declared mixed branches must retain their separate labels.

## Reassessment

Test the actual common1566 landing where File60 deliberately uses two different Keys.

## Checks

```json
{
  "E_total": true,
  "mixed": true,
  "distinct": true
}
```

## Closed utc

2026-09-27T23:59:21.577876+00:00

## Record provenance

Exact record hash: `ab6e064311e941d5c0963b904abcbee26c793332d130c148bf1a200f9c3900b6`

Source journal: `Research_Cycles/C0532_C0631/journal.json`