Research action

C201 — The source interval center divides the diagonal-center gap as 868+190

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Study sequence: Source alignment, residual grammar and interval-center geometry (C156–C205) · Mirror & 529

C201 — The source interval center divides the diagonal-center gap as 868+190

23 September 2026 · Step 46 of 50, continuing C155.

At each exact common row, the Creation/Flood interval's center divides the1058-year separation of the two17K diagonal centers into868+190. This is the clearest geometric interpretation of the offsets audited at C156.

μMT → 868+δ/2  μ13 → 190+δ/2  μSP. \mu_{MT}\ \xrightarrow{\ 868+\delta/2\ }\ \mu_{13} \ \xrightarrow{\ 190+\delta/2\ }\ \mu_{SP}.
RowMT diagonal centerCreation/Flood centerSP diagonal centerTwo gaps
N01-3699/2-1963/2-1583/2868 + 190
N02-3697/2-1961/2-1581/2868 + 190
N03-3695/2-1959/2-1579/2868 + 190
N04-3693/2-1957/2-1577/2868 + 190
P6-3693/2-978-1575/21737/2 + 381/2

For P6, the residual splits equally between the center gaps:868.5+190.5=1059. The endpoints remain exactly the admitted source pairs; no endpoint is moved by half a year. The halves arise from calculating interval midpoints.

The center partition is mathematically dependent on the source intervals and their alignment. It gives the868/190 accounting a useful geometry without treating the three geometric centers as new biblical events.

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. 79 assertions passed; see RESULTS.json and CERTIFICATE.json. Assertions, selected field combinations and inherited identities are not independent historical witness counts.

Linked sources and evidence

Edition and provenance

490d_C201_529_Mirror_Bounded_Step_20260923.md

SHA-256 652f134f0c2e1c41bf292d122580f2de602e86e7aad412f43b2f708920415ed2

C01–C479/reference/490d_C01_C265_Complete_Window_Archive_20260923.zip!/workspace/mirror_C156_C205_529_Source_Grammar_20260923/C201/490d_C201_529_Mirror_Bounded_Step_20260923.md