# C562 — Compose Joshua interval translations

## Question

Does the regular-to-cumulative Joshua link close the Joseph routes without changing fixed event anchors?

## Inputs

```json
{
  "regular": [
    1476,
    1366
  ],
  "cumulative": [
    1406,
    1296
  ],
  "terminal_starts": [
    1526,
    1512
  ]
}
```

## Sources

```json
[
  "File61 §14.3A; File62 §9"
]
```

## Opened utc

2026-09-28T00:14:47.328559+00:00

## Results

```json
{
  "Joshua_shift": [
    70,
    70
  ],
  "composed_Joseph_shifts": [
    500,
    530
  ],
  "fixed_Joshua_spans": [
    230,
    216
  ]
}
```

## Finding

The common70 translation gives total500/530 routes. Holding cumulative Joshua1296 contracts230 to216 when the derived start shifts14; historical Moses1526 remains the original event.

## Reassessment

Test whether the double Adam square is an independent pattern or translated geometry.

## Checks

```json
{
  "translation": true,
  "composition": true,
  "contraction": true
}
```

## Closed utc

2026-09-28T00:14:47.328739+00:00

## Record provenance

Exact record hash: `9a9f13b160923f11b676ad608337f6b7faa0e82e18c13248089d9357490b5628`

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