# C568 — Compare the dual490 constructions

## Question

Can subset E and whole-span P agree on the source483 partition?

## Inputs

```json
{
  "parts": [
    "805/2",
    "161/2"
  ],
  "total": 483
}
```

## Sources

```json
[
  "File62 §§8.6A–C; File63 §1.3"
]
```

## Opened utc

2026-09-28T00:16:09.698873+00:00

## Results

```json
{
  "partial_E": 490,
  "whole_P": 490,
  "whole_E": 525,
  "common_day_volume": [
    176400,
    176400
  ]
}
```

## Finding

Expanding only80.5 by E and all483 by P both give490. Whole-span E gives525; the calendar volumes490×360 and525×336 agree. The duration identity needs no deferred endpoint.

## Reassessment

Derive the general allocation identity that explains this agreement.

## Checks

```json
{
  "dual": true,
  "whole_E": true,
  "volume": true
}
```

## Closed utc

2026-09-28T00:16:09.699095+00:00

## Record provenance

Exact record hash: `ea4e30b4588f1ea584150b1181cdb6701557f7d9e3882bfc13727b92c6b379b0`

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