Supporting tables for Matthew and Luke’s Genealogies: Sevens, Fourteens, and Sacred Time. These tables make the counting reproducible. They distinguish the printed Gospel text, an interpretation of its arrangement, and the dates generated by the 490d model.
Scripture wording and name spellings follow the identified edition. BSB means Berean Standard Bible. KJV identifies the eBible King James Version used to verify Luke’s single-Aram sequence. KJV is a comparison witness here; BSB remains the primary quotation translation. The comparison is not a new collation of Greek manuscripts.
1. What is being counted?
| Term | Meaning in these tables | Example |
|---|---|---|
| Figure | A person occupying a place in the main line | Matthew’s patriarch Jacob and Joseph’s father Jacob count as two figures |
| Position | A place in an explicitly defined sequence | One Jeconiah can occupy two positions under the exile-overlap interpretation |
| Adjacent interval | The link from one position to the next | 41 consecutive figures have 40 adjacent intervals |
| Schematic period | A duration allocated by the model | One occupied period is assigned 70 years |
| Generated boundary | A date obtained from the selected count, unit, and terminal | Matthew’s 42-period model begins at 2876 BC when completed at AD 65 |
A count of people is not a count of different spelling strings. Luke repeats names such as Joseph and Levi at different places in the ancestry. Nor is every person mentioned in a genealogy an additional main-line figure: mothers, brothers, and other associated persons require their own descriptive categories.
2. Matthew’s complete three-group arrangement
The source is Matthew 1:2–16 BSB. Matthew’s summary in 1:17 explicitly gives three groups of fourteen. File 69 §1.9 distinguishes its 41 main-line male figures from the 42 occupied positions obtained by placing Jeconiah on both sides of the exile.
The table below displays that overlap interpretation. Read down each column, then begin the next column. The middle column’s final Jeconiah and the final column’s opening Jeconiah identify the same man.
| Position within group | Abraham–David | Solomon–Jeconiah | Jeconiah–Jesus |
|---|---|---|---|
| 1 | Abraham (1:2) | Solomon (1:6) | Jeconiah (same man) (1:12) |
| 2 | Isaac (1:2) | Rehoboam (1:7) | Shealtiel (1:12) |
| 3 | Jacob (patriarch) (1:2) | Abijah (1:7) | Zerubbabel (1:12) |
| 4 | Judah (1:2) | Asa (1:7) | Abiud (1:13) |
| 5 | Perez (1:3) | Jehoshaphat (1:8) | Eliakim (1:13) |
| 6 | Hezron (1:3) | Joram (1:8) | Azor (1:13) |
| 7 | Ram (1:3) | Uzziah (1:8) | Zadok (1:14) |
| 8 | Amminadab (1:4) | Jotham (1:9) | Achim (1:14) |
| 9 | Nahshon (1:4) | Ahaz (1:9) | Eliud (1:14) |
| 10 | Salmon (1:4) | Hezekiah (1:9) | Eleazar (1:15) |
| 11 | Boaz (1:5) | Manasseh (1:10) | Matthan (1:15) |
| 12 | Obed (1:5) | Amon (1:10) | Jacob (Joseph’s father) (1:15) |
| 13 | Jesse (1:5) | Josiah (1:10) | Joseph (1:16) |
| 14 | David (1:6) | Jeconiah (same man) (1:11) | Jesus (1:16) |
Removing the repeated Jeconiah position leaves:
Abraham–David 14 + Solomon–Josiah 13 + Jeconiah–Jesus 14 = 41 figures.
Retaining the boundary overlap gives:
14 + 14 + 14 = 42 occupied positions.
Jeconiah appears in the deportation setting at Matthew 1:11 and resumes the line after the deportation in 1:12. This textual seam supports the interpretation adopted by the 490d study. It does not turn Matthew’s genealogy into a list of 42 different men. The two Jacobs in the table, by contrast, are different figures bearing the same name.
The women are not discarded from the reading of Matthew. Tamar, Rahab, Ruth, Uriah’s wife, and Mary contribute to its presentation of ancestry and promise; they simply are not extra positions in this particular male-line count. Zerah, Judah’s brothers, Jeconiah’s brothers, and Uriah likewise do not add new positions to the continuing line displayed above.
Selectivity and spelling
Comparison with 1 Chronicles 3:10–16 BSB identifies Ahaziah, Joash, and Amaziah between Joram and Azariah/Uzziah, and Jehoiakim between Josiah and Jeconiah. Matthew omits those names from its presented sequence. The count concerns the genealogy Matthew gives, rather than an expanded list assembled from another book.
The BSB prints Ram, Asa, and Amon in Matthew. Its notes identify the Greek forms Aram, Asaph, and Amōs. These spelling or identification notes are separate from the additional position created by the Admin/Arni reading in Luke. The counted table preserves the BSB’s printed names.
3. Luke’s complete names, with the editions kept separate
These lists follow the Gospel’s reading direction: Jesus → Joseph → … → Adam → God. Each number is a position counted from Jesus, beginning with 1. The columns reproduce each edition’s name spellings; they do not normalize KJV names to BSB forms. The links lead directly to Luke 3:23–38 BSB and Luke 3:23–38 KJV.
| Luke passage | BSB: numbered names | KJV: numbered names |
|---|---|---|
| 3:23 | 1 Jesus; 2 Joseph; 3 Heli | 1 Jesus; 2 Joseph; 3 Heli |
| 3:24 | 4 Matthat; 5 Levi; 6 Melchi; 7 Jannai; 8 Joseph | 4 Matthat; 5 Levi; 6 Melchi; 7 Janna; 8 Joseph |
| 3:25 | 9 Mattathias; 10 Amos; 11 Nahum; 12 Esli; 13 Naggai | 9 Mattathias; 10 Amos; 11 Naum; 12 Esli; 13 Nagge |
| 3:26 | 14 Maath; 15 Mattathias; 16 Semein; 17 Josech; 18 Joda | 14 Maath; 15 Mattathias; 16 Semei; 17 Joseph; 18 Juda |
| 3:27 | 19 Joanan; 20 Rhesa; 21 Zerubbabel; 22 Shealtiel; 23 Neri | 19 Joanna; 20 Rhesa; 21 Zorobabel; 22 Salathiel; 23 Neri |
| 3:28 | 24 Melchi; 25 Addi; 26 Cosam; 27 Elmadam; 28 Er | 24 Melchi; 25 Addi; 26 Cosam; 27 Elmodam; 28 Er |
| 3:29 | 29 Joshua; 30 Eliezer; 31 Jorim; 32 Matthat; 33 Levi | 29 Jose; 30 Eliezer; 31 Jorim; 32 Matthat; 33 Levi |
| 3:30 | 34 Simeon; 35 Judah; 36 Joseph; 37 Jonam; 38 Eliakim | 34 Simeon; 35 Juda; 36 Joseph; 37 Jonan; 38 Eliakim |
| 3:31 | 39 Melea; 40 Menna; 41 Mattatha; 42 Nathan; 43 David | 39 Melea; 40 Menan; 41 Mattatha; 42 Nathan; 43 David |
| 3:32 | 44 Jesse; 45 Obed; 46 Boaz; 47 Sala; 48 Nahshon | 44 Jesse; 45 Obed; 46 Booz; 47 Salmon; 48 Naasson |
| 3:33 | 49 Amminadab; 50 Admin; 51 Arni; 52 Hezron; 53 Perez; 54 Judah | 49 Aminadab; 50 Aram; 51 Esrom; 52 Phares; 53 Juda |
| 3:34 | 55 Jacob; 56 Isaac; 57 Abraham; 58 Terah; 59 Nahor | 54 Jacob; 55 Isaac; 56 Abraham; 57 Thara; 58 Nachor |
| 3:35 | 60 Serug; 61 Reu; 62 Peleg; 63 Eber; 64 Shelah | 59 Saruch; 60 Ragau; 61 Phalec; 62 Heber; 63 Sala |
| 3:36 | 65 Cainan; 66 Arphaxad; 67 Shem; 68 Noah; 69 Lamech | 64 Cainan; 65 Arphaxad; 66 Sem; 67 Noe; 68 Lamech |
| 3:37 | 70 Methuselah; 71 Enoch; 72 Jared; 73 Mahalalel; 74 Cainan | 69 Mathusala; 70 Enoch; 71 Jared; 72 Maleleel; 73 Cainan |
| 3:38 | 75 Enosh; 76 Seth; 77 Adam; 78 God | 74 Enos; 75 Seth; 76 Adam; 77 God |
The Luke 3:33 difference
| Edition | Local sequence, in Luke’s reading direction | Positions in this verse |
|---|---|---|
| BSB | Amminadab → Admin → Arni → Hezron → Perez → Judah | 6 |
| KJV | Aminadab → Aram → Esrom → Phares → Juda | 5 |
The BSB notes at Luke 3:33 identify Aram in the Byzantine and Textus Receptus readings and indicate their omission of Arni. The eBible KJV supplies a directly readable witness to that single-Aram sequence. This extra position in the BSB is a textual difference; changing which endpoints are counted does not remove it.
Both editions retain Cainan at Luke 3:36, between Arphaxad and Shelah, and Cainan at Luke 3:37, between Mahalalel and Enosh. These are two different positions. The 490d model retains the later Cainan. Deleting him from the BSB to force its total to match the shorter model would create an unacknowledged mixed list.
| Quantity | BSB | KJV single-Aram form |
|---|---|---|
| Human figures, Jesus through Adam inclusive | 77 | 76 |
| Human antecedents, Joseph through Adam inclusive | 76 | 75 |
| All positions, Jesus through God inclusive | 78 | 77 |
| Adjacent links from Jesus to Adam | 76 | 75 |
| Adjacent links from Jesus to God | 77 | 76 |
File 43’s display has one Ram row, not the BSB’s Admin and Arni rows. Its human roster therefore has 76 positions, agreeing in count with the KJV’s single-Aram form. File 43’s modernized display spellings are not offered as a verbatim KJV transcription. Its model cannot be described as a count of all names printed in the BSB.
4. The 70-year endpoint register
The model uses a selected 6 BC nativity hinge and assigns 70 years to each schematic period. All coordinates below depend on those declared choices. For a span crossing from BC to AD, the civil-year calculation is BC + AD − 1; there is no year zero.
| Model and endpoints | Calculation | What is counted |
|---|---|---|
| Jesus’ model period: 6 BC → AD 65 | 6 + 65 − 1 = 70 | One completed period |
| Luke: Adam 5256 BC → Jesus 6 BC | 5256 − 6 = 5250 = 75 × 70 | Adjacent intervals between 76 human positions |
| Luke: Adam 5256 BC → AD 65 | 5256 + 65 − 1 = 5320 = 76 × 70 | 76 completed human periods |
| Luke: figurative God boundary 5326 BC → Jesus 6 BC | 5326 − 6 = 5320 = 76 × 70 | The earlier corresponding-boundary pairing |
| Luke: figurative God boundary 5326 BC → AD 65 | 5326 + 65 − 1 = 5390 = 77 × 70 | Full model: symbolic opening plus 76 human periods |
| Matthew, undoubled: Abraham 2806 BC → Jesus 6 BC | 2806 − 6 = 2800 = 40 × 70 | Adjacent intervals between 41 figures |
| Matthew, undoubled: Abraham 2806 BC → AD 65 | 2806 + 65 − 1 = 2870 = 41 × 70 | 41 completed periods |
| Matthew, Jeconiah overlap: Abraham boundary 2876 BC → AD 65 | 2876 + 65 − 1 = 2940 = 42 × 70 | 42 occupied periods |
Controls: File 43 §§2–3; File 69 §§1.8–1.9. File 43 calls the 2800-year Matthew span MattSpan_BirthHinge and the 2870-year span MattSpan_Carrier. They are different endpoint calculations. File 69 makes the 42-position Jeconiah-overlap state explicit; its 2940-year total must not replace either of those earlier quantities without changing the stated model.
The two Abraham boundaries differ by one period: 2876 − 2806 = 70. Neither is Abraham’s ordinary historical birth date. AD 65 is the completion of the modeled Christ period, not his death date. A further AD 65–135 display extension belongs to a separate construction and is not used to fill Matthew’s internal overlap position.
5. The complete Lukan model ledger
This table reverses Luke into forward order so that the model periods can be read chronologically. It follows File 43 §3.4, with one Ram and the later Cainan retained. Names follow File 43’s display labels; “Creation of Adam” is shortened to “Adam” for the table. The column heading “model period” applies to every row: these are not ordinary lifespans, begetting ages, or dates quoted from Luke.
The figurative God row is a symbolic opening frame drawn from Luke 3:38. It is not a human ancestor or an assertion that God began to exist. Jesus’ row completes at AD 65 because it is the final allocated period of this model.
Open all 77 model positions and their boundaries
| Model position | File 43 figure / display label | Model period |
|---|---|---|
| 1 | God — figurative opening | 5326–5256 BC |
| 2 | Adam | 5256–5186 BC |
| 3 | Seth | 5186–5116 BC |
| 4 | Enosh | 5116–5046 BC |
| 5 | Kenan | 5046–4976 BC |
| 6 | Mahalalel | 4976–4906 BC |
| 7 | Jared | 4906–4836 BC |
| 8 | Enoch | 4836–4766 BC |
| 9 | Methuselah | 4766–4696 BC |
| 10 | Lamech | 4696–4626 BC |
| 11 | Noah | 4626–4556 BC |
| 12 | Shem | 4556–4486 BC |
| 13 | FLOOD & Arphaxad | 4486–4416 BC |
| 14 | Cainan (2nd) | 4416–4346 BC |
| 15 | Shelah | 4346–4276 BC |
| 16 | Eber | 4276–4206 BC |
| 17 | Peleg | 4206–4136 BC |
| 18 | Reu | 4136–4066 BC |
| 19 | Serug | 4066–3996 BC |
| 20 | Nahor | 3996–3926 BC |
| 21 | Terah | 3926–3856 BC |
| 22 | Abraham | 3856–3786 BC |
| 23 | Isaac | 3786–3716 BC |
| 24 | Jacob | 3716–3646 BC |
| 25 | Judah | 3646–3576 BC |
| 26 | Perez | 3576–3506 BC |
| 27 | Hezron | 3506–3436 BC |
| 28 | Ram | 3436–3366 BC |
| 29 | Amminadab | 3366–3296 BC |
| 30 | Nahshon (Aaron’s brother-in-law) | 3296–3226 BC |
| 31 | Salmon | 3226–3156 BC |
| 32 | Boaz | 3156–3086 BC |
| 33 | Obed | 3086–3016 BC |
| 34 | Jesse | 3016–2946 BC |
| 35 | David | 2946–2876 BC |
| 36 | Nathan | 2876–2806 BC |
| 37 | Mattatha | 2806–2736 BC |
| 38 | Menna | 2736–2666 BC |
| 39 | Melea | 2666–2596 BC |
| 40 | Eliakim | 2596–2526 BC |
| 41 | Jonam | 2526–2456 BC |
| 42 | Joseph | 2456–2386 BC |
| 43 | Judah | 2386–2316 BC |
| 44 | Simeon | 2316–2246 BC |
| 45 | Levi | 2246–2176 BC |
| 46 | Matthat | 2176–2106 BC |
| 47 | Jorim | 2106–2036 BC |
| 48 | Eliezer | 2036–1966 BC |
| 49 | Joshua | 1966–1896 BC |
| 50 | Er | 1896–1826 BC |
| 51 | Elmadam | 1826–1756 BC |
| 52 | Cosam | 1756–1686 BC |
| 53 | Addi | 1686–1616 BC |
| 54 | Melki | 1616–1546 BC |
| 55 | Neri | 1546–1476 BC |
| 56 | Shealtiel | 1476–1406 BC |
| 57 | Zerubbabel | 1406–1336 BC |
| 58 | Rhesa | 1336–1266 BC |
| 59 | Joanan | 1266–1196 BC |
| 60 | Joda | 1196–1126 BC |
| 61 | Josech | 1126–1056 BC |
| 62 | Semein | 1056–986 BC |
| 63 | Mattathias | 986–916 BC |
| 64 | Maath | 916–846 BC |
| 65 | Naggai | 846–776 BC |
| 66 | Esli | 776–706 BC |
| 67 | Nahum | 706–636 BC |
| 68 | Amos | 636–566 BC |
| 69 | Mattathias | 566–496 BC |
| 70 | Joseph | 496–426 BC |
| 71 | Jannai | 426–356 BC |
| 72 | Melki | 356–286 BC |
| 73 | Levi | 286–216 BC |
| 74 | Matthat | 216–146 BC |
| 75 | Heli | 146–76 BC |
| 76 | Joseph | 76–6 BC |
| 77 | Jesus | 6 BC–AD 65 |
6. Enoch’s position and the cumulative comparison
Enoch is the seventh human figure from Adam inclusive. That means six adjacent intervals from Adam’s opening boundary to Enoch’s opening boundary. Adding the figurative God row changes the row number and the interval count separately:
| Count or span | Result |
|---|---|
| Human figures Adam through Enoch | 7 |
| Adjacent intervals Adam → Enoch | 6 |
| Adam head 5256 BC → Enoch head 4836 BC | 420 = 6 × 70 |
| Figurative God head 5326 BC → Enoch head 4836 BC | 490 = 7 × 70 |
| All seven human periods Adam through Enoch completed, 5256 → 4766 BC | 490 = 7 × 70 |
With the God row included, Enoch is the eighth listed position, even though seven intervals lead to him. Phrases such as “seventh from God” require this interval qualification and should not be used as an unqualified row count.
File 54 §7.1 compares the 4836 BC Jared/Enoch model boundary with the 4836 BC cumulative MT Flood boundary. The equality concerns the selected coordinate labels. It does not make Enoch’s birth the Flood or turn Luke’s genealogy into the cumulative lifespan chronology.
The shared number supports the study’s comparison of genealogical order, Enoch, and Flood judgment. A claim that Luke consciously used the whole modern construction would require historical evidence beyond this numerical fit.
7. Sources and limits of the comparison
| Source | Role |
|---|---|
| Matthew 1 BSB | Printed male-line names; women and associated figures; three-fourteen summary |
| Luke 3 BSB | Primary quotation wording; complete Admin/Arni list; textual notes |
| Luke 3 KJV | Direct witness to the shorter single-Aram sequence |
| 1 Chronicles 3 BSB | Comparison identifying the royal names omitted from Matthew’s selected genealogy |
| File 43, §§1–3 | 70-year unit, names and intervals, selected hinge, research model ledger |
| File 54, §§1, 7.1 | Endpoint controls and the Enoch/cumulative Flood comparison |
| File 69, §§0.5–0.6, 1.8–1.9 | Claim distinctions, Luke’s 76/77 endpoints, Matthew’s 41/42 explanation |
The principal distinction is between what the text prints and what the model calculates. An exact calculation establishes its numerical result under the stated premises. It does not, by itself, establish literary borrowing, an author’s conscious knowledge of every resulting date, or a probability of coincidence.
The 72-year companion, extended pre-Abraham Matthean composites, and other chronological transformations require additional declared assumptions. They are outside the introductory calculation presented here.
Scripture quotations: Berean Standard Bible (BSB), public domain. KJV names are identified separately and linked to the eBible King James Version. Translators’ textual notes are treated separately from Scripture wording. Research model labels and all digit-based calculations are identified as such.
Continue with the detailed study.