# C689 — Explain the normalized13440 register

## Question

What added quantity separates PhaseNorm40 from the calibrated micro completion?

## Inputs

```json
{
  "E_count": "75/2",
  "normalized_count": 40,
  "Priestly_calendar": 336
}
```

## Sources

```json
[
  "Supplement A §§4.3,6"
]
```

## Opened utc

2026-09-28T01:14:01.247385+00:00

## Results

```json
{
  "calibrated_volume": 12600,
  "normalized_volume": 13440,
  "residual_volume": 840,
  "identity": "40×336 = E(34.5)×336 + 2.5×336"
}
```

## Finding

The normalized13440 body adds exactly840 to12600, because the source’s2.5 residual is measured in336-day units. This explains the extra completion without assigning it to a new event or applying another Key.

## Reassessment

Compare these scalar registers with the source’s retained2940 cumulative partition.

## Checks

```json
{
  "volumes": true,
  "additivity": true,
  "residual_count": true
}
```

## Closed utc

2026-09-28T01:14:01.247647+00:00

## Record provenance

Exact record hash: `445aa97ebd598e316fcc5451eea28d34d0ea5b4ef6486afe7a2b983ac1915aa2`

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