# C549 — The458640 comparison reuses calendar measure

## Question

Which parts of the637×720 identity follow from existing calendar factors?

## Inputs

```json
{
  "whole_year_Abraham_Aaron": 637,
  "Abraham_Exodus": 720,
  "imported_counts": [
    602640,
    144000
  ],
  "previous_seed": 12558
}
```

## Sources

```json
[
  "File60 §8.5",
  "C500; File63 §9.7 by preparation"
]
```

## Opened utc

2026-09-28T00:05:54.197037+00:00

## Results

```json
{
  "chronological_factors": [
    637,
    720
  ],
  "products": [
    458640,
    458640,
    458640
  ],
  "imported_remainder": 458640,
  "prior_calendar_volume": 4586400,
  "numerical_ratio": 10,
  "exact_phase_diagnostic": "1273/2"
}
```

## Finding

The637×720 product equals1260×364 and1274×360; the prior12558 calendar volume is numerically ten times this458640 scalar. This joins the factor systems without identifying their units. The637 factor uses Aaron’s whole-year1529 display; exact1529.5 gives636.5 and must remain distinct.

## Reassessment

Reconstruct the1470 restoration span as the source placement behind the588000 refactorization.

## Checks

```json
{
  "products": true,
  "remainder": true,
  "scale": true
}
```

## Closed utc

2026-09-28T00:05:54.197337+00:00

## Record provenance

Exact record hash: `b0fd2bb40851a2d8f4e95c6e213ca52cee7c9bc4356c828a4fa0cfd6ce5c2577`

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