# C327 independent complete residual review

24 September 2026. The fixed C322 menu contains three primary same-Gear biographies and five roles per tradition. All75 ordered SP anchor/terminal pairs were tested. B is always the existing same-role MT counterpart of A; C is another held SP role. Contexts remain SP OFF/Terah0/full430 and MT restoredON/Terah60/full430.

**Result:** the residual `r=B−C=(A−C)−460=d−460` is positive in18 cases, negative in57, and never zero. The positive cases comprise six role families, each present in all three Gears.

| SP source interval A→C | d | Cross-context remainder r | G2 existing A_SP→B_MT→C_SP |
|---|---:|---:|---|
|Noah birth→Shem birth|500|40|3708→3248→3208|
|Noah birth→Flood start|600|140|3708→3248→3108|
|Noah birth→Noah death|950|490|3708→3248→2758|
|Noah birth→Shem death|1100|640|3708→3248→2608|
|Shem birth→Shem death|600|140|3208→2748→2608|
|Flood start→Shem death|500|40|3108→2648→2608|

The JSON retains the actual G1/G2/G3 records for all candidates. Residual40 occurs six times,140 six times,490 three times and640 three times. The950 partition is Noah's held lifespan; the600 partition includes both Noah→Flood and Shem's lifespan. The latter two are distinct role relations even though they have equal lengths. Noah's SP death endpoint retains its inherited inclusive/harmonic qualification.

The remaining candidates are accounted for completely:

| Source order or width | Annual candidates | Residual handling |
|---|---:|---|
|Reversed source order, d<0|30|r<−460|
|Same source endpoint, d=0|15|r=−460|
|Forward source span0<d<460|12|r<0|
|d=460|0|No zero residual|
|d>460|18|Positive partition|

The closest negative case is Shem birth→Noah death: `d=450`, `r=−10`. Quarter-phase choices cannot turn it into zero or a positive remainder. More generally, the sign of every residual is stable across the declared phase menu.

## Exact components

Each annual candidate was tested under all eight independent held phase choices, giving600 component comparisons. For offsets `pA,pB,pC`, deviations from the annual context leg, source duration and residual are `pA−pB`, `pA−pC` and `pB−pC`. All annual lengths are preserved exactly when `pA=pB=pC`.

There are150 complete exact partitions:36 positive and114 negative. All-minus and all-plus each preserve every one of the75 annual cases. Each individual leg is exact in300 component trials; the complete intersection is150. Across all600 trials, including mixed phases, residual signs remain144 positive,456 negative and zero equalities. The arithmetic identity `B−C=(A−C)−(A−B)` holds in every trial, but mixed phases need not preserve the declared460 leg or annual source duration. Equal physical output phases do not imply equal inherited cumulative ancestry.

## Claim scope and next question

The40 remainder is one member of a complete source-biography residual structure. The490,140 and640 results use already admitted endpoints; their numerical values follow from the held source durations and common460 context difference. They neither establish a prescribed expansion nor add independent historical witnesses. The bounded prior-work locator found close antecedents for the context shift and biographies but did not locate these explicit residual partitions; this is not an archive-wide novelty claim.

The next useful bounded question is sensitivity to the four already admitted MT Cainan/Terah context combinations, holding the SP biographies, regular Gear, roles and full430 setting fixed. That can distinguish which residuals require the currently selected restoredON/Terah60 context. This C328 proposal is unexecuted here.

`C327_Independent_Audit.py --sources DIR --out DIR` reads only frozen `C322_DATA.json` and uses Python's standard library. Its JSON preserves all75 annual candidates, all600 phase comparisons, complete source records and the full duration/residual distribution. **202 checks passed.** No expansion, new endpoint/context, fitted anchor or C328 computation was performed. Existing global/local Mirror, Gear, companion and modal-state boundaries remain unchanged.