# C564 — Relate the Isaac partition to calendar calibration

## Question

Does the11760/840/12600 family use an existing ratio?

## Inputs

```json
{
  "head": 14006,
  "translated_Isaac": 2246,
  "Conquest": 1406
}
```

## Sources

```json
[
  "File61 §§17.3–17.7"
]
```

## Opened utc

2026-09-28T00:15:20.549814+00:00

## Results

```json
{
  "partition": [
    11760,
    840,
    12600
  ],
  "units_of35": [
    336,
    24,
    360
  ],
  "whole_over_upper": "15/14",
  "E_over_P": "15/14"
}
```

## Finding

The Isaac macro partition is35 copies of336+24=360. Its15/14 completion ratio is exactly E/P, connecting the cumulative partition to the existing calendar calibration.

## Reassessment

Check which part survives an exact common phase shift.

## Checks

```json
{
  "partition": true,
  "ratio": true
}
```

## Closed utc

2026-09-28T00:15:20.550013+00:00

## Record provenance

Exact record hash: `779251c69568750f1b0bb7718a137e51853e4457bd618c496b209b70183bdad5`

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