# C685 — Close the three-calendar micro triangle

## Question

Do all three existing Keys yield one calibrated volume at34.5?

## Inputs

```json
{
  "seed": "69/2",
  "calendar_lengths": [
    336,
    360,
    364
  ],
  "operators": [
    "E",
    "P",
    "J"
  ]
}
```

## Sources

```json
[
  "Supplement A §6; C631 common calibration"
]
```

## Opened utc

2026-09-28T01:13:12.649245+00:00

## Results

```json
{
  "converted_counts": [
    "75/2",
    35,
    "450/13"
  ],
  "calendar_volumes": [
    12600,
    12600,
    12600
  ],
  "common_volume": 12600
}
```

## Finding

At the micro seed34.5, all three calibrated routes meet at12600:336×E(s)=360×P(s)=364×J(s). The Priestly route completes the source’s P/J comparison using the already established common-calibration identity.

## Reassessment

Explain the exact twentyfold relation between the micro seed and the native690 core.

## Checks

```json
{
  "three_routes": true,
  "P_count": true,
  "E_count": true
}
```

## Closed utc

2026-09-28T01:13:12.649489+00:00

## Record provenance

Exact record hash: `2c656f9311602fd91e4ee680c5b909212683e2edf9709eb4e20b875e5be41f55`

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