Contiguous research campaign · C53–C72 · 20 numbered records

Cumulative boundaries and exact seasonal phase

Explains 6348 and the 20/22/24 cumulative Mirror rectangle, then gives phase-preserving affine operators and distinguishes geometric midpoints from named source events.

Part of the C53–C72 broader study sequence: Cumulative boundaries and exact seasonal phase.

Campaign manifest (JSON) · Complete numbered records · All research sections

Related subjects: Mirror & 529 · Regular & Cumulative

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C62 — Ten-step synthesis: the 529 Mirror has source-qualified members and exact phaseResearch action · 490d_C62_Mirror_Report_20260922.md
SHA-256 7af4d931eb0fa077c4df694d99efaa373dcedd5a44700d720d4295c45829e39eDownload preserved edition · Document JSON
C72 — Ten-step synthesis: the Mirror operators preserve phase and retain source limitsResearch action · 490d_C72_Mirror_Report_20260922.md
SHA-256 d6a6b82326acedbd8bfa4390c61fe0ece704fb08ee9390ffeae2100605a8acb8Download preserved edition · Document JSON
C65 — The 25/23 expansion acts on centres while preserving seasonal phaseResearch action · 490d_C65_Mirror_Report_20260922.md
SHA-256 bdce1f830e7a638f23522177c74b89c389f038fcd288334e09a874eb3cb3229aDownload preserved edition · Document JSON

Supporting source editions

File_18 — Chronological Data TablesSource · 38-File_18.Chronological_Data_Tables-20260919-141048-.md
SHA-256 68301ab760bfbe2e874aedc5c8d943ced7a6219d34bc2859332a70713f9630d5Download preserved edition · Document JSON
File_09 — Cumulative ArchitectureSource · 30-File_09.Cumulative_Architecture-9-.md
SHA-256 45851004c5864229ebf6a896f9099819a08d8926715d3e97e4bc3985c4a3876eDownload preserved edition · Document JSON

Complete numbered records

This list is for detailed inspection after the selected leads above. Each reading page preserves the original action and links its supporting evidence. The manifest supplies these links and edition hashes without copying document bodies.

C53 — 6348 is the whole-year Aaron-side Shem memberDocument JSON · Download preserved record
SHA-256 5229f11a62ed50ed9dd2054c437689d51dc864c013a5f750ad8f70596af4199a
Linked evidence (2)
- File 18SHA-256 68301ab760bfbe2e874aedc5c8d943ced7a6219d34bc2859332a70713f9630d5
- File 09SHA-256 45851004c5864229ebf6a896f9099819a08d8926715d3e97e4bc3985c4a3876e
C54 — 1058 requires a two-year offset between the two cumulative membersDocument JSON · Download preserved record
SHA-256 97b404d56141465fd9326d9a8e5ae0cd5b2c207a080c5d76c6543764cbfe90ab
Linked evidence (2)
- File 18SHA-256 68301ab760bfbe2e874aedc5c8d943ced7a6219d34bc2859332a70713f9630d5
- File 09SHA-256 45851004c5864229ebf6a896f9099819a08d8926715d3e97e4bc3985c4a3876e
C55 — The full 6877 branches occur at qualified cumulative boundariesDocument JSON · Download preserved record
SHA-256 cd7d392c724905efdaa6c211040c362219919fe386e7d0c9f4ebf15c3425ef13
Linked evidence (2)
- File 18SHA-256 68301ab760bfbe2e874aedc5c8d943ced7a6219d34bc2859332a70713f9630d5
- File 09SHA-256 45851004c5864229ebf6a896f9099819a08d8926715d3e97e4bc3985c4a3876e
C56 — 20, 22 and 24 form a canonical-axis cumulative Mirror rectangleDocument JSON · Download preserved record
SHA-256 9792e18f856a74a6011715a266bc09f0821093652ffeb7ce25f5753c49d5f968
Linked evidence (2)
- File 18SHA-256 68301ab760bfbe2e874aedc5c8d943ced7a6219d34bc2859332a70713f9630d5
- File 09SHA-256 45851004c5864229ebf6a896f9099819a08d8926715d3e97e4bc3985c4a3876e
C57 — The six-year Flood displacement is 460 minus 454Document JSON · Download preserved record
SHA-256 369604b7011813fe10dbc4b0f0547ba013b784d22e3624dc36cad3a623dba163
Linked evidence (2)
- File 18SHA-256 68301ab760bfbe2e874aedc5c8d943ced7a6219d34bc2859332a70713f9630d5
- File 09SHA-256 45851004c5864229ebf6a896f9099819a08d8926715d3e97e4bc3985c4a3876e
C58 — The two equal 1058 prefixes use different source decompositionsDocument JSON · Download preserved record
SHA-256 6912b02f3e26ef20c882a62c47e2346cfd4f4ecc65134b23fc7d6e7e7d9a9983
Linked evidence (2)
- File 18SHA-256 68301ab760bfbe2e874aedc5c8d943ced7a6219d34bc2859332a70713f9630d5
- File 09SHA-256 45851004c5864229ebf6a896f9099819a08d8926715d3e97e4bc3985c4a3876e
C59 — N01 aligns all four cumulative members with the 2+2+3 boundariesDocument JSON · Download preserved record
SHA-256 d389b207081fdb3cb71defc2cac414daf0ffcecb4ff977fa0dde041e840b8489
Linked evidence (2)
- File 18SHA-256 68301ab760bfbe2e874aedc5c8d943ced7a6219d34bc2859332a70713f9630d5
- File 09SHA-256 45851004c5864229ebf6a896f9099819a08d8926715d3e97e4bc3985c4a3876e
C60 — The 24-fold closure does not independently determine the six-year gapDocument JSON · Download preserved record
SHA-256 67e078182616b0239d72b5e4604b0261ea1a9faf6a9eb3c2d8a730af5c8f81c4
Linked evidence (2)
- File 18SHA-256 68301ab760bfbe2e874aedc5c8d943ced7a6219d34bc2859332a70713f9630d5
- File 09SHA-256 45851004c5864229ebf6a896f9099819a08d8926715d3e97e4bc3985c4a3876e
C61 — The 24-fold paired Mirror preserves the exact 3.5-year Aaron phaseDocument JSON · Download preserved record
SHA-256 e468f14bb8150fde0459ab7ed4efd00cd4896749e413b89f3863270ecf091895
Linked evidence (2)
- File 18SHA-256 68301ab760bfbe2e874aedc5c8d943ced7a6219d34bc2859332a70713f9630d5
- File 09SHA-256 45851004c5864229ebf6a896f9099819a08d8926715d3e97e4bc3985c4a3876e
C62 — Ten-step synthesis: the 529 Mirror has source-qualified members and exact phaseDocument JSON · Download preserved record
SHA-256 7af4d931eb0fa077c4df694d99efaa373dcedd5a44700d720d4295c45829e39e
Linked evidence (2)
- File 18SHA-256 68301ab760bfbe2e874aedc5c8d943ced7a6219d34bc2859332a70713f9630d5
- File 09SHA-256 45851004c5864229ebf6a896f9099819a08d8926715d3e97e4bc3985c4a3876e
C63 — Both complete 6877 chains preserve the seasonal components exactlyDocument JSON · Download preserved record
SHA-256 ad6180618d11eb6b4db3cc5240efd4cacce67099e0cd38684126257b9a711129
Linked evidence (2)
- File 18SHA-256 68301ab760bfbe2e874aedc5c8d943ced7a6219d34bc2859332a70713f9630d5
- File 09SHA-256 45851004c5864229ebf6a896f9099819a08d8926715d3e97e4bc3985c4a3876e
C64 — The SP companion shift is independent of seasonal phaseDocument JSON · Download preserved record
SHA-256 f0306243f966c613cfcba2fda952221b4127156085274dc3d0788d00350f289d
Linked evidence (2)
- File 18SHA-256 68301ab760bfbe2e874aedc5c8d943ced7a6219d34bc2859332a70713f9630d5
- File 09SHA-256 45851004c5864229ebf6a896f9099819a08d8926715d3e97e4bc3985c4a3876e
C65 — The 25/23 expansion acts on centres while preserving seasonal phaseDocument JSON · Download preserved record
SHA-256 bdce1f830e7a638f23522177c74b89c389f038fcd288334e09a874eb3cb3229a
Linked evidence (2)
- File 18SHA-256 68301ab760bfbe2e874aedc5c8d943ced7a6219d34bc2859332a70713f9630d5
- File 09SHA-256 45851004c5864229ebf6a896f9099819a08d8926715d3e97e4bc3985c4a3876e
C66 — The 299 midpoint expands to 325+325 without inheriting its event nameDocument JSON · Download preserved record
SHA-256 80116c9851ea4b3afdfc69f3b09bf71e87c663a79be0eb0d75d6d356e94e30e1
Linked evidence (2)
- File 18SHA-256 68301ab760bfbe2e874aedc5c8d943ced7a6219d34bc2859332a70713f9630d5
- File 09SHA-256 45851004c5864229ebf6a896f9099819a08d8926715d3e97e4bc3985c4a3876e
C67 — Two sourced 6877 placements share an endpoint through different affine mapsDocument JSON · Download preserved record
SHA-256 cba0d366df228578f46597d5e77cedabe691212f39e019b8ff9c05e3e0bd9ca7
Linked evidence (2)
- File 18SHA-256 68301ab760bfbe2e874aedc5c8d943ced7a6219d34bc2859332a70713f9630d5
- File 09SHA-256 45851004c5864229ebf6a896f9099819a08d8926715d3e97e4bc3985c4a3876e
C68 — The 12/13-family square commutes on both seasonal componentsDocument JSON · Download preserved record
SHA-256 19ee1672a44720e547add7b3118ffdcecf5aa562fc821b0a532c7039375f3c1f
Linked evidence (2)
- File 18SHA-256 68301ab760bfbe2e874aedc5c8d943ced7a6219d34bc2859332a70713f9630d5
- File 09SHA-256 45851004c5864229ebf6a896f9099819a08d8926715d3e97e4bc3985c4a3876e
C69 — Reflection preserves the lifted algebra and reverses extension directionDocument JSON · Download preserved record
SHA-256 8939a1b4e9eca618438bd04148ff71bf954001ae17bb786c682576983f84a915
Linked evidence (2)
- File 18SHA-256 68301ab760bfbe2e874aedc5c8d943ced7a6219d34bc2859332a70713f9630d5
- File 09SHA-256 45851004c5864229ebf6a896f9099819a08d8926715d3e97e4bc3985c4a3876e
C70 — Exact family closure and reflection do not determine half-year phaseDocument JSON · Download preserved record
SHA-256 3c1a03fed03207fa65470b7b1fda66b5ba25413ed6a996cce8026f82c6278106
Linked evidence (2)
- File 18SHA-256 68301ab760bfbe2e874aedc5c8d943ced7a6219d34bc2859332a70713f9630d5
- File 09SHA-256 45851004c5864229ebf6a896f9099819a08d8926715d3e97e4bc3985c4a3876e
C71 — One anchored half-year pair fixes the phase of each connected chainDocument JSON · Download preserved record
SHA-256 966882dc6c7d16ee720714cfc761c8567215fcb8318162b363d215d294b20c19
Linked evidence (2)
- File 18SHA-256 68301ab760bfbe2e874aedc5c8d943ced7a6219d34bc2859332a70713f9630d5
- File 09SHA-256 45851004c5864229ebf6a896f9099819a08d8926715d3e97e4bc3985c4a3876e
C72 — Ten-step synthesis: the Mirror operators preserve phase and retain source limitsDocument JSON · Download preserved record
SHA-256 d6a6b82326acedbd8bfa4390c61fe0ece704fb08ee9390ffeae2100605a8acb8
Linked evidence (2)
- File 18SHA-256 68301ab760bfbe2e874aedc5c8d943ced7a6219d34bc2859332a70713f9630d5
- File 09SHA-256 45851004c5864229ebf6a896f9099819a08d8926715d3e97e4bc3985c4a3876e