# C199 — The 190 offset is also a displacement between interval centers

23 September 2026 · Step 44 of 50, continuing C155.

**In the four exact aligned rows, the SP17K interval's center lies190 years after the13K Creation/Flood interval's center.** This follows from the unequal flanks, giving the source profile offset a geometric role.

Let μSP=(X−D)/2 and μ13=(f−b)/2 in signed paired-center coordinates. Then

\[
\boxed{\mu_{SP}-\mu_{13}=190+\frac{\delta+\rho-\eta}{2}.}
\]

On the held family this is190+δ/2. N04 has centers−788.5 and−978.5, separated by190. P6 has centers−787.5 and−978, separated by190.5.

These centers are geometric midpoints of specified intervals, not historical event nodes. The190-year interpretation here is a dependent consequence of the retained source profile and alignment, not an independent new190 calibration.

## Evidence and scope

K=529. Positive BC base B denotes (B+1)t/Bn BC; reflected AD base A denotes AD At/(A+1)n. Their same-season civil span is B+A, after the no-year-zero correction. AD source projections are not historical AD occurrences. Generated coordinates and interval midpoints do not acquire event identity from numerical coincidence.

Regular Gears remain confined to Noah/Shem/Flood. Creation and Conquest use fixed source-field members; no fourth Gear is admitted. File_18/File_09 and the C127 graph are unchanged. C133–C155 source corrections remain controlling, with the C10 ancestry of the next-Flood-Gear rule now explicit. No historical campaign is rerun, no quarantined primer is reopened, and no N01/N03 expansion or missing Shem join is repaired. Original Reports 01–10 remain previously verified; interrupted original Reports 11–25 remain unestablished.

Sources: controlling File_18 §§2–3, 6A–6D; File_09 paired Mirror rules; selectively retained C05, C08, C10, C123, C128 and C133–C155 evidence. Specific dependencies are named in the body/certificate. **60 assertions passed**; see `RESULTS.json` and `CERTIFICATE.json`. Assertions, selected field combinations and inherited identities are not independent historical witness counts.