# C636 — Normalize the three calendar registers

## Question

Do the three spans become one common output under their respective Keys?

## Inputs

```json
{
  "spans": [
    2340,
    2352,
    2366
  ],
  "days": [
    360,
    336,
    364
  ],
  "Keys": [
    "70/69",
    "25/23",
    "300/299"
  ]
}
```

## Sources

```json
[
  "File70 §6.7; C586 calendar calibration"
]
```

## Opened utc

2026-09-28T00:57:35.899669+00:00

## Results

```json
{
  "normalized_year_counts": [
    "13/2",
    7,
    "13/2"
  ],
  "Key_outputs": [
    "54600/23",
    "58800/23",
    "54600/23"
  ],
  "output_ratio": "13:14:13",
  "half_year_unit": "4200/23"
}
```

## Finding

The Prophetic and Enochian arms normalize to6.5 calendar years; the Priestly arm to7. Their outputs are13,14,13 copies of one calibrated half-year. The family preserves two count classes, not one undifferentiated result.

## Reassessment

Determine what equal transformed spans imply when their held heads differ.

## Checks

```json
{
  "normalization": true,
  "outputs": true,
  "two_classes": true
}
```

## Closed utc

2026-09-28T00:57:35.899892+00:00

## Record provenance

Exact record hash: `17fb6bac910067917df66b14db474b381af070138efcdb0c206f8674725e9eef`

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