Revelation’s Scaled Epochs: Part 3 Reference Appendix

Revelation Words and Tokens · Part 3 Reference Appendix

The complete date tables, occurrence key, and calculations behind the reading of Revelation’s tokens as scaled epochs.

This appendix accompanies Part 3. It preserves the original three calendar arrays and both numbering columns of the occurrence key. The opening and closing bookends remain distinct from counted words. Unless a seasonal qualification is stated, a dated band runs from spring in its first year to spring in its final year.

Part 3 · Main discussion

In this appendix

A. Counts, positions, and boundaries

The lexical inventory is 20 churches + 22 seals/sealing + 10 thunders + 16 trumpets/sounding + 12 bowls = 80. The alternative sequence excludes the ten thunders and contains seventy lexical occurrences. The opening #0 and later closing #81—or #71 in the shorter numbering—are conceptual positions. Their inclusion never increases either lexical total.

Construction	Positions shown	Complete bands	Steps from first opening to last opening
Eighty-word sequence with opening bookend	#0–80	81	80
Eighty-word sequence with both bookends	#0–81	82	81
Seventy-word sequence with opening bookend	#0–70	71	70
Seventy-word sequence with both bookends	#0–71	72	71

Ordinary BC/AD years and an arithmetic coordinate

In historical notation, 1 BC is followed by AD 1. For calculation only, let AD 1 have coordinate 1 and 1 BC coordinate 0. An earlier BC year B then has coordinate 1 − B. The spring 6 BC anchor is therefore −5. The presence of zero on this arithmetic axis does not add a historical year called “AD 0.”

With a scale of s years per band and position n, the opening coordinate is −5 + sn; its closing coordinate is −5 + s(n + 1). Convert the result back to BC/AD labels when displaying a date. For positive coordinates, the number is the AD year. For zero or negative coordinates, the BC label is 1 minus that coordinate.

Opening of #n = −5 + sn
Closing of #n = −5 + s(n + 1)

The equal-month table uses s = 30; the heptad table uses s = 7. The twenty-one-day sequence starts its numbering at 1, so Day #d opens at −5 + (d − 1) and closes at −5 + d. These formulas regenerate every date in the three original arrays below.

Three kinds of comparison

Between matching edges: subtract the position numbers and multiply by the scale. From the opening of #a to the opening of #b, the duration is (b − a)s. The same result holds when comparing their closing edges. From #20 to #68 at the thirty-year scale, the difference is 48 × 30 = 1,440 years.

Across complete bands: include the width of the final band. From the opening of #a to the closing of #b, the duration is (b − a + 1)s. Thus the twelve complete bowl bands #69–80 have a width of 360 years, even though their first and last openings are only eleven steps, or 330 years, apart.

From an external anchor: state the target edge. The initial presentation generally used closing edges for external comparisons, with stated exceptions for foundational and culminating bands. Here every calculation identifies the edge directly, so the result does not depend on remembering a general rule and its exceptions.

Across the BC/AD boundary, the elapsed-year formula is B + A − 1. Within BC, subtract the later BC label from the earlier one; within AD, subtract the earlier AD label from the later. Seasonal events require an additional qualification: year-coordinate arithmetic cannot establish an exact anniversary when the starting event occurred in summer and the target is a spring boundary.

B. Complete thirty-year table

The original month rows and seven column assignments are retained. “Yr” labels a schematic year of twelve token-months, equivalent to 360 historical years in this model. The initial argument uses #0–80 and ends with Kislev of the seventh column. The starred #81 is the later closing extension developed in Part 4.

Months	Yr 1	Yr 2	Yr 3	Yr 4	Yr 5	Yr 6	Yr 7
Nisan (1)	#0 (6 BC – AD 25)	#12 (AD 355 – 385)	#24 (AD 715 – 745)	#36 (AD 1075 – 1105)	#48 (AD 1435 – 1465)	#60 (AD 1795 – 1825)	#72 (AD 2155 – 2185)
Iyar (2)	#1 (AD 25 – 55)	#13 (AD 385 – 415)	#25 (AD 745 – 775)	#37 (AD 1105 – 1135)	#49 (AD 1465 – 1495)	#61 (AD 1825 – 1855)	#73 (AD 2185 – 2215)
Sivan (3)	#2 (AD 55 – 85)	#14 (AD 415 – 445)	#26 (AD 775 – 805)	#38 (AD 1135 – 1165)	#50 (AD 1495 – 1525)	#62 (AD 1855 – 1885)	#74 (AD 2215 – 2245)
Tammuz (4)	#3 (AD 85 – 115)	#15 (AD 445 – 475)	#27 (AD 805 – 835)	#39 (AD 1165 – 1195)	#51 (AD 1525 – 1555)	#63 (AD 1885 – 1915)	#75 (AD 2245 – 2275)
Av (5)	#4 (AD 115 – 145)	#16 (AD 475 – 505)	#28 (AD 835 – 865)	#40 (AD 1195 – 1225)	#52 (AD 1555 – 1585)	#64 (AD 1915 – 1945)	#76 (AD 2275 – 2305)
Elul (6)	#5 (AD 145 – 175)	#17 (AD 505 – 535)	#29 (AD 865 – 895)	#41 (AD 1225 – 1255)	#53 (AD 1585 – 1615)	#65 (AD 1945 – 1975)	#77 (AD 2305 – 2335)
Tishrei (7)	#6 (AD 175 – 205)	#18 (AD 535 – 565)	#30 (AD 895 – 925)	#42 (AD 1255 – 1285)	#54 (AD 1615 – 1645)	#66 (AD 1975 – 2005)	#78 (AD 2335 – 2365)
Cheshvan(8)	#7 (AD 205 – 235)	#19 (AD 565 – 595)	#31 (AD 925 – 955)	#43 (AD 1285 – 1315)	#55 (AD 1645 – 1675)	#67 (AD 2005 – 2035)	#79 (AD 2365 – 2395)
Kislev (9)	#8 (AD 235 – 265)	#20 (AD 595 – 625)	#32 (AD 955 – 985)	#44 (AD 1315 – 1345)	#56 (AD 1675 – 1705)	#68 (AD 2035 – 2065)	#80 (AD 2395 – 2425)
Tevet (10)	#9 (AD 265 – 295)	#21 (AD 625 – 655)	#33 (AD 985 – 1015)	#45 (AD 1345 – 1375)	#57 (AD 1705 – 1735)	#69 (AD 2065 – 2095)	*#81 (AD 2425 – 2455)
Shevat (11)	#10 (AD 295 – 325)	#22 (AD 655 – 685)	#34 (AD 1015 – 1045)	#46 (AD 1375 – 1405)	#58 (AD 1735 – 1765)	#70 (AD 2095 – 2125)
Adar (12)	#11 (AD 325 – 355)	#23 (AD 685 – 715)	#35 (AD 1045 – 1075)	#47 (AD 1405 – 1435)	#59 (AD 1765 – 1795)	#71 (AD 2125 – 2155)

The full initial width is 81 × 30 = 2,430 years, ending in AD 2425. Including the closing #81 band gives 82 × 30 = 2,460 years, ending in AD 2455. Neither calculation changes the eighty-word inventory.

C. Complete seven-year table

Thirteen heptads make one ninety-one-year column. The column arrangement reflects a thirteen-week quarter at the scaled level. It preserves the original “Cycle” headings and every date assignment.

Heptad Group	Cycle 1	Cycle 2	Cycle 3	Cycle 4	Cycle 5	Cycle 6	Cycle 7
Heptad 1	#0 (6 BC – AD 2)	#13 (AD 86 – 93)	#26 (AD 177 – 184)	#39 (AD 268 – 275)	#52 (AD 359 – 366)	#65 (AD 450 – 457)	#78 (AD 541 – 548)
Heptad 2	#1 (AD 2 – 9)	#14 (AD 93 – 100)	#27 (AD 184 – 191)	#40 (AD 275 – 282)	#53 (AD 366 – 373)	#66 (AD 457 – 464)	#79 (AD 548 – 555)
Heptad 3	#2 (AD 9 – 16)	#15 (AD 100 – 107)	#28 (AD 191 – 198)	#41 (AD 282 – 289)	#54 (AD 373 – 380)	#67 (AD 464 – 471)	#80 (AD 555 – 562)
Heptad 4	#3 (AD 16 – 23)	#16 (AD 107 – 114)	#29 (AD 198 – 205)	#42 (AD 289 – 296)	#55 (AD 380 – 387)	#68 (AD 471 – 478)	*#81 (AD 562 – 569)
Heptad 5	#4 (AD 23 – 30)	#17 (AD 114 – 121)	#30 (AD 205 – 212)	#43 (AD 296 – 303)	#56 (AD 387 – 394)	#69 (AD 478 – 485)
Heptad 6	#5 (AD 30 – 37)	#18 (AD 121 – 128)	#31 (AD 212 – 219)	#44 (AD 303 – 310)	#57 (AD 394 – 401)	#70 (AD 485 – 492)
Heptad 7	#6 (AD 37 – 44)	#19 (AD 128 – 135)	#32 (AD 219 – 226)	#45 (AD 310 – 317)	#58 (AD 401 – 408)	#71 (AD 492 – 499)
Heptad 8	#7 (AD 44 – 51)	#20 (AD 135 – 142)	#33 (AD 226 – 233)	#46 (AD 317 – 324)	#59 (AD 408 – 415)	#72 (AD 499 – 506)
Heptad 9	#8 (AD 51 – 58)	#21 (AD 142 – 149)	#34 (AD 233 – 240)	#47 (AD 324 – 331)	#60 (AD 415 – 422)	#73 (AD 506 – 513)
Heptad 10	#9 (AD 58 – 65)	#22 (AD 149 – 156)	#35 (AD 240 – 247)	#48 (AD 331 – 338)	#61 (AD 422 – 429)	#74 (AD 513 – 520)
Heptad 11	#10 (AD 65 – 72)	#23 (AD 156 – 163)	#36 (AD 247 – 254)	#49 (AD 338 – 345)	#62 (AD 429 – 436)	#75 (AD 520 – 527)
Heptad 12	#11 (AD 72 – 79)	#24 (AD 163 – 170)	#37 (AD 254 – 261)	#50 (AD 345 – 352)	#63 (AD 436 – 443)	#76 (AD 527 – 534)
Heptad 13	#12 (AD 79 – 86)	#25 (AD 170 – 177)	#38 (AD 261 – 268)	#51 (AD 352 – 359)	#64 (AD 443 – 450)	#77 (AD 534 – 541)

The initial #0–80 span is 567 years, ending in AD 562. Adding the starred closing position makes 574 years and ends in AD 569. The #80 band remains AD 555–562 in both displays.

D. Complete twenty-one-year table

These are the twenty-one “day” occurrences indexed in Part 1. Their ordinal numbers and annual bands remain unchanged. The symbolic weekday rows describe positions in the grid, not historical weekdays of annual anniversaries.

Day of Week (Symbolic)	Week 1 (of Years)	Week 2 (of Years)	Week 3 (of Years)
Day 1	Day #1 (6 BC – 5 BC)	Day #8 (AD 2 – AD 3)	Day #15 (AD 9 – AD 10)
Day 2	Day #2 (5 BC – 4 BC)	Day #9 (AD 3 – AD 4)	Day #16 (AD 10 – AD 11)
Day 3	Day #3 (4 BC – 3 BC)	Day #10 (AD 4 – AD 5)	Day #17 (AD 11 – AD 12)
Day 4	Day #4 (3 BC – 2 BC)	Day #11 (AD 5 – AD 6)	Day #18 (AD 12 – AD 13)
Day 5	Day #5 (2 BC – 1 BC)	Day #12 (AD 6 – AD 7)	Day #19 (AD 13 – AD 14)
Day 6	Day #6 (1 BC – AD 1)	Day #13 (AD 7 – AD 8)	Day #20 (AD 14 – AD 15)
Day 7	Day #7 (AD 1 – AD 2)	Day #14 (AD 8 – AD 9)	Day #21 (AD 15 – AD 16)

The first band begins in 6 BC; the last ends in AD 16. Day #6, 1 BC–AD 1, contains one elapsed year. This is the clearest place to see why a no-year-zero conversion is necessary.

E. Complete occurrence key

The following table retains both original index columns, all eighty references, all group totals, and the source’s morphology codes. “N/A” marks a thunder occurrence absent from the shorter sequence. The trumpet nouns precede the trumpet verbs, following the established grouping. The opening and closing rows identify conceptual positions and are not Greek occurrences added to the count.

Descriptions summarize the settings; they are not translations of entire verses. Two descriptions have been clarified: #3 concerns the angels of the seven churches in Revelation 1:20, and #35 refers to the 144,000 in Revelation 7:4. These wording corrections leave the references, morphology entries, and counts intact. The original shorthand for the Greek editions is not treated as evidence of a new collation.

Overall No. (Excl. Thunders)	Overall No. (Incl. Thunders)	Verse	Keyword Group	Type	Action/Event	Morphology code (source)	Source List Item No.
0	0	Jesus “FIRST and last”					0
1	1	Revelation 1:4	Churches	Noun	To the seven churches in Asia	N-DFP	1
2	2	Revelation 1:11	Churches	Noun	Write to the seven churches	N-DFP	2
3	3	Revelation 1:20	Churches	Noun	The seven stars are the angels of the seven churches	N-GFP	3
4	4	Revelation 1:20	Churches	Noun	The seven lampstands are the seven churches	N-NFP	4
5	5	Revelation 2:1	Churches	Noun	To the angel of the church in Ephesus	N-GFS	5
6	6	Revelation 2:7	Churches	Noun	The Spirit says to the churches	N-DFP	6
7	7	Revelation 2:8	Churches	Noun	To the angel of the church in Smyrna	N-GFS	7
8	8	Revelation 2:11	Churches	Noun	The Spirit says to the churches	N-DFP	8
9	9	Revelation 2:12	Churches	Noun	To the angel of the church in Pergamum	N-GFS	9
10	10	Revelation 2:17	Churches	Noun	The Spirit says to the churches	N-DFP	10
11	11	Revelation 2:18	Churches	Noun	To the angel of the church in Thyatira	N-GFS	11
12	12	Revelation 2:23	Churches	Noun	All the churches will know	N-NFP	12
13	13	Revelation 2:29	Churches	Noun	The Spirit says to the churches	N-DFP	13
14	14	Revelation 3:1	Churches	Noun	To the angel of the church in Sardis	N-GFS	14
15	15	Revelation 3:6	Churches	Noun	The Spirit says to the churches	N-DFP	15
16	16	Revelation 3:7	Churches	Noun	To the angel of the church in Philadelphia	N-GFS	16
17	17	Revelation 3:13	Churches	Noun	The Spirit says to the churches	N-DFP	17
18	18	Revelation 3:14	Churches	Noun	To the angel of the church in Laodicea	N-GFS	18
19	19	Revelation 3:22	Churches	Noun	The Spirit says to the churches	N-DFP	19
20	20	Revelation 22:16	Churches	Noun	Jesus testifies these things to the churches	N-DFP	20
21	21	Revelation 5:1	Seals	Verb+	Having been sealed (perfect passive participle)	V-RPM/P-ANS	1
22	22	Revelation 5:1	Seals	Noun	Sealed with seven seals	N-DFP	2
23	23	Revelation 5:2	Seals	Noun	To break the seals	N-AFP	3
24	24	Revelation 5:5	Seals	Noun	The seven seals of it	N-AFP	4
25	25	Revelation 5:9	Seals	Noun	To open the seals	N-AFP	5
26	26	Revelation 6:1	Seals	Noun	One of the seven seals	N-GFP	6
27	27	Revelation 6:3	Seals	Noun	Opened the second seal	N-AFS	7
28	28	Revelation 6:5	Seals	Noun	Opened the third seal	N-AFS	8
29	29	Revelation 6:7	Seals	Noun	Opened the fourth seal	N-AFS	9
30	30	Revelation 6:9	Seals	Noun	Opened the fifth seal	N-AFS	10
31	31	Revelation 6:12	Seals	Noun	Opened the sixth seal	N-AFS	11
32	32	Revelation 7:2	Seals	Noun	Having the seal of God	N-AFS	12
33	33	Revelation 7:3	Seals	Verb	Until we seal the servants	V-ASA-1P	13
34	34	Revelation 7:4	Seals	Verb	Of those who were sealed (participle)	V-RPM/P-GMP	14
35	35	Revelation 7:4	Seals	Verb	The 144,000 who were sealed	V-RPM/P-NMP	15
36	36	Revelation 7:5	Seals	Verb	Twelve thousand sealed from tribe	V-RPM/P-NMP	16
37	37	Revelation 7:8	Seals	Verb	Twelve thousand sealed	V-RPM/P-NMP	17
38	38	Revelation 8:1	Seals	Noun	Opened the seventh seal	N-AFS	18
39	39	Revelation 9:4	Seals	Noun	Do not have the seal of God	N-AFS	19
40	40	Revelation 10:4	Seals	Verb	Seal up the things which were spoken	V-AMA-2S	20
41	41	Revelation 20:3	Seals	Verb	Sealed over him	V-AIA-3S	21
42	42	Revelation 22:10	Seals	Verb	Do not seal the words	V-ASA-2S	22
N/A	43	Revelation 4:5	Thunders	Noun	Voices and thunders and seven lamps	N-NFP	1
N/A	44	Revelation 6:1	Thunders	Noun	As a voice of thunder	N-GFS	2
N/A	45	Revelation 8:5	Thunders	Noun	There were thunders and voices	N-NFP	3
N/A	46	Revelation 10:3	Thunders	Noun	The seven thunders uttered their voices	N-NFP	4
N/A	47	Revelation 10:4	Thunders	Noun	The seven thunders were about to speak	N-NFP	5
N/A	48	Revelation 10:4	Thunders	Noun	The seven thunders had spoken	N-NFP	6
N/A	49	Revelation 11:19	Thunders	Noun	Voices and thunders and an earthquake	N-NFP	7
N/A	50	Revelation 14:2	Thunders	Noun	As the voice of great thunder	N-GFS	8
N/A	51	Revelation 16:18	Thunders	Noun	Voices and thunders and an earthquake	N-NFP	9
N/A	52	Revelation 19:6	Thunders	Noun	As the voice of mighty thunders	N-GFP	10
43	53	Revelation 1:10	Trumpets	Noun	Voice like a trumpet	N-GFS	1
44	54	Revelation 4:1	Trumpets	Noun	Voice like a trumpet speaking	N-GFS	2
45	55	Revelation 8:2	Trumpets	Noun	Seven trumpets given	N-NFP	3
46	56	Revelation 8:6	Trumpets	Noun	Seven trumpets prepared	N-AFP	4
47	57	Revelation 8:13	Trumpets	Noun	Voices of the trumpet of the three	N-GFS	5
48	58	Revelation 9:14	Trumpets	Noun	Angel with the trumpet	N-AFS	6
49	59	Revelation 8:6	Trumpets	Verb	They prepared to sound	V-ASA-3P	7
50	60	Revelation 8:7	Trumpets	Verb	First angel sounded	V-AIA-3S	8
51	61	Revelation 8:8	Trumpets	Verb	Second angel sounded	V-AIA-3S	9
52	62	Revelation 8:10	Trumpets	Verb	Third angel sounded	V-AIA-3S	10
53	63	Revelation 8:12	Trumpets	Verb	Fourth angel sounded	V-AIA-3S	11
54	64	Revelation 8:13	Trumpets	Verb	Angels about to sound	V-PNA	12
55	65	Revelation 9:1	Trumpets	Verb	Fifth angel sounded	V-AIA-3S	13
56	66	Revelation 9:13	Trumpets	Verb	Sixth angel sounded	V-AIA-3S	14
57	67	Revelation 10:7	Trumpets	Verb	He is about to sound	V-PNA	15
58	68	Revelation 11:15	Trumpets	Verb	Seventh angel sounded	V-AIA-3S	16
59	69	Revelation 5:8	Bowls	Noun	Golden bowls full of incense	N-AFP	1
60	70	Revelation 15:7	Bowls	Noun	Seven golden bowls full of God’s wrath	N-AFP	2
61	71	Revelation 16:1	Bowls	Noun	The seven bowls of wrath commanded	N-AFP	3
62	72	Revelation 16:2	Bowls	Noun	First angel poured out his bowl on the earth	N-AFS	4
63	73	Revelation 16:3	Bowls	Noun	Second angel poured out his bowl into the sea	N-AFS	5
64	74	Revelation 16:4	Bowls	Noun	Third angel poured out his bowl on rivers	N-AFS	6
65	75	Revelation 16:8	Bowls	Noun	Fourth angel poured out his bowl on the sun	N-AFS	7
66	76	Revelation 16:10	Bowls	Noun	Fifth angel poured out his bowl on the throne	N-AFS	8
67	77	Revelation 16:12	Bowls	Noun	Sixth angel poured out his bowl on the Euphrates	N-AFS	9
68	78	Revelation 16:17	Bowls	Noun	Seventh angel poured out his bowl into the air	N-AFS	10
69	79	Revelation 17:1	Bowls	Noun	Angel with one of the seven bowls speaks	N-AFP	11
70	80	Revelation 21:9	Bowls	Noun	Angel with seven bowls full of last plagues	N-AFP	12
*71	*81	Rev 22	Jesus “First and LAST“				1

Revelation 1:19 distinguishes what John has seen, what is, and what is to take place afterward. This gives a literary reason to begin with the churches addressed in the opening chapters. It does not itself prescribe this entire grouped index or the lengths assigned to its positions. The detailed lexical discussion remains in Part 2.

F. Chronological anchors and their roles

These are the dates adopted for the comparisons. A date generated within the model is distinguished from a date used as an external chronological anchor. Retaining the framework does not require presenting every BC assignment as an independently established historical consensus.

Date or band	Role	Qualification
2166 BC	Abraham’s birth	Adopted chronological anchor; Genesis 21:5 gives his age at Isaac’s birth.
2156 BC	Sarah’s birth	Ten-year age difference in Genesis 17:17; adopted BC assignment.
2091 BC	Abraham’s call/departure at age 75	Genesis 12:4; 2166 − 75 = 2091 within this chronology.
2006 BC	Jacob’s birth	Isaac is sixty in Genesis 25:26; adopted BC assignment.
1876 BC	Israel’s entry into Egypt	Opening of the normal 430-year Egypt interval used here.
1446 BC	Exodus	Adopted spring anchor; related to the 480-year statement in 1 Kings 6:1 and the chosen temple chronology.
967/966 BC	Temple-foundation reference in the underlying chronology	Alternative dating labels mentioned in the original anchor discussion; the fixed Exodus coordinate remains 1446 BC.
1445 BC	Tabernacle set up	Second year, first month, first day: Exodus 40:17.
1406–1399 BC	Entry, conquest, and initial land rest	Seven-year band used throughout this comparison; 1406 is the entry anchor.
586 BC	First Temple destruction coordinate	The summer event is represented by an annual coordinate; no exact spring anniversary is claimed.
586–516 BC	Temple-restoration comparison	Seventy-year span under the adopted assignments; Zechariah 1:12; 7:5; Ezra 6:15.
Spring 6 BC	Opening of #0; opening of Day #1	The common chosen origin; associated with the nativity in this research.
AD 30 / AD 33	Passion alternatives	Both fit within monthly #1 (AD 25–55); neither is derived by this table.
AD 65–72	Band containing the destruction in AD 70	An assigned seven-year frame, not the event’s start and finish.
AD 66–73/74; AD 67–70	Broader war and Jerusalem ranges mentioned in the source	Contextual ranges from the original discussion; neither replaces the 65–72 band used in the equations.
AD 24 / shifted AD 29	Additional ministry/Jubilee calibration	Used conditionally for the 49² comparison; not established by Luke 4.
1405 BC	Alternative coordinate in the 19-year calculation	Preserved numerically; not identified as the end of the 1406–1399 conquest/rest band.

The 430-year Egypt interval is 1876–1446 BC. Genesis 15:13 supplies the related four-hundred-year language; Exodus 12:40–41 supplies the 430-year sojourn. Their distinct numbers are retained. The alternative sojourn reckonings discussed elsewhere on the website are not substituted into these calculations.

Zechariah 1:12 and 7:5 refer to seventy years in the setting of the early restoration community. The 586–516 BC comparison is a temple-restoration span within the adopted chronology. It is considered separately from Jeremiah’s seventy-year language about Babylon and the nations (Jeremiah 25:11–12; 29:10). It should not make Zechariah’s prayers themselves statements delivered at the completed temple’s date. Ezra 6:15 locates the completion in the sixth year of Darius.

G. The calculation ledger

The tables below collect the original numerical proposals with a consistent endpoint vocabulary. All results follow the no-year-zero rule. A comparison can be arithmetically correct while its historical or thematic identification remains conditional.

Thirty-year bands: external anchors

Comparison	Endpoints	Elapsed years and form	Edge or condition
Egypt entry to #80	1876 BC → AD 2425	4,300 = 10 × 430	Closing edge
Exodus to #80	1446 BC → AD 2425	3,870 = 9 × 430 = 3 × 1,290	Closing edge
586 BC coordinate to #80	586 BC → AD 2425	3,010 = 7 × 430	Closing edge; Year-coordinate comparison; seasonal offset retained
Proposed AD 24 calibration	AD 24 → AD 2425	2,401 = 49²	Closing edge of #80; Additional ministry calibration, not established by the verse
Five-year-shifted calibration	AD 29 → AD 2430	2,401 = 49²	Shifted closing edge; Both endpoints move five years
Exodus to #80	1446 BC → AD 2395	3,840 = 1,290 + 1,260 + 1,290	Opening edge
Retained original 1405 BC comparison	1405 BC → AD 2395	3,799 = 3,800 − 1	Opening edge of #80; Original claim of 3,800 corrected; not the post-conquest rest date
Separate comparison from established entry anchor	1406 BC → AD 2395	3,800 = 200 × 19	Opening edge of #80; A different starting point; not substituted into the retained 1405 comparison
Abraham’s birth to #0	2166 BC → 6 BC	2,160 = 6 × 360	Opening edge
Sarah’s birth to #0	2156 BC → 6 BC	2,150 = 5 × 430	Opening edge; Half of 4,300 as a length
Abraham’s birth to #1	2166 BC → AD 25	2,190 = 2,160 + 30	Opening edge
Exodus to #1	1446 BC → AD 25	1,470 = 3 × 490	Opening edge
Exodus to #1	1446 BC → AD 55	1,500 = 3 × 500	Closing edge
Exodus to #37	1446 BC → AD 1135	2,580 = 2 × 1,290	Closing edge; #37 opens in AD 1105

Thirty-year bands: internal structure

Comparison	Endpoints	Elapsed years and form	Edges measured
#0 → #1	6 BC → AD 25	30 = 1 × 30	Opening to opening
#0 → #42	6 BC → AD 1255	1,260 = 42 × 30	Opening to opening
#0 → #43	6 BC → AD 1285	1,290 = 43 × 30	Opening to opening
#1 → #43	AD 25 → AD 1285	1,260 = 42 × 30	Opening to opening
#20 → #68	AD 595 → AD 2035	1,440 = 48 × 30 = 4 × 360	Opening to opening
#20 → #80	AD 595 → AD 2395	1,800 = 60 × 30 = 5 × 360	Opening to opening
#38 → #80	AD 1135 → AD 2395	1,260 = 42 × 30	Opening to opening
#68 → #80	AD 2035 → AD 2395	360 = 12 × 30	Opening to opening
All twelve bowl bands #69–80	AD 2065 → AD 2425	360 = 12 × 30	Opening of #69 to closing of #80
First and last bowl openings	AD 2065 → AD 2395	330 = 11 × 30	Opening of #69 to opening of #80
First and last openings #0–80	6 BC → AD 2395	2,400 = 80 × 30	Opening to opening
All bands #0–80	6 BC → AD 2425	2,430 = 81 × 30 = 27 × 90	Opening of #0 to closing of #80
Expanded bands #0–81	6 BC → AD 2455	2,460 = 82 × 30	Opening of #0 to closing of #81

Seven-year bands and their earlier counterparts

Comparison	Endpoints	Elapsed years and form	Edges measured
Exodus band: first edges	1446 BC → AD 555	2,000 = 4 × 500	Opening to opening
Exodus band: final edges	1439 BC → AD 562	2,000 = 4 × 500	Closing to closing
Conquest/rest band: first edges	1406 BC → AD 555	1,960 = 4 × 490	Opening to opening
Conquest/rest band: final edges	1399 BC → AD 562	1,960 = 4 × 490	Closing to closing
AD 65–72 band: first edges	AD 65 → AD 555	490 = 70 × 7	Opening to opening
AD 65–72 band: final edges	AD 72 → AD 562	490 = 70 × 7	Closing to closing
Exodus to opening #0	1446 BC → 6 BC	1,440 = 4 × 360	Opening edge of #0
Conquest to opening #0	1406 BC → 6 BC	1,400 = LCM(40, 70, 100)	Opening edge of #0
Abraham’s birth to opening #0	2166 BC → 6 BC	2,160 = 6 × 360	Opening edge of #0
Sarah’s birth to opening #0	2156 BC → 6 BC	2,150 = 5 × 430	Opening edge of #0
Jacob’s birth to opening #0	2006 BC → 6 BC	2,000 = 5 × 400 = 50 × 40	Opening edge of #0
All bands #0–80	6 BC → AD 562	567 = 81 × 7	Opening of #0 to closing of #80
Expanded bands #0–81	6 BC → AD 569	574 = 82 × 7	Opening of #0 to closing of #81

The displaced seven-year bands preserve both edges. For example, 1406 BC → AD 555 and 1399 BC → AD 562 are each 1,960 years. By contrast, 1406 BC → AD 562 is 1,967 years. The latter does not become 1,960 by an inclusive-count convention.

Annual sequence and relations between scales

Comparison	Endpoints	Elapsed years and form	Edges or conditions
Complete annual sequence	6 BC → AD 16	21 = 21 × 1	Opening of Day #1 to closing of Day #21
Tabernacle to annual endpoint	1445 BC → AD 16	1,460 = Schematic Julian-year side of the Sothic comparison	Closing edge; Not a verified Sirius phase alignment
Annual endpoint to heptad endpoint	AD 16 → AD 562	546 = 1½ × 364	Both final edges
Annual endpoint to opening #80	AD 16 → AD 555	539 = 11 × 49 = 77 × 7	Closing annual edge to opening heptad edge
Alternative Nisan origin to AD 16	1 BC → AD 16	16 = 16 elapsed units	AD 16 opens unit 17; Separate ordinal overlay
End of weekly #0 to adjusted monthly end	AD 2 → AD 2452	2,450 = 5 × 490	Both closing edges
Weekly end to adjusted monthly end	AD 562 → AD 2452	1,890 = 70 × 27	Both closing edges
Opening anchor to adjusted Kislev 25	6 BC → AD 2445	2,450 = 50 × 49 = 5 × 490	Both opening edges

These cross-scale differences arise from a common origin. In particular, 81 × 7 − 21 = 546 and 80 × 7 − 21 = 539. Their numerical forms are exact; their interpretation in terms of the calendar and Jubilee remains the subject of the study.

H. Comparisons that need an additional distinction

Which midpoint?

There are several possible meanings of “middle.” They give different answers because some treat the numbered positions as points while others include the complete width of every band.

Meaning of middle	Location	Reason
Ordinal center of labels #0–80	Position #40	Forty labels before it and forty after it.
Midpoint between opening #0 and opening #80	AD 1195	Half of 2,400 years; the opening of #40.
Midpoint of all 81 complete monthly bands	AD 1210	Half of 2,430 years; inside #40 (AD 1195–1225).
Boundary between #40 and #41	AD 1225	Forty-one complete thirty-year bands after the origin.
Midpoint of all 82 monthly bands, including #81	AD 1225	Half of 2,460 years; the #40/#41 boundary.

In the initial eighty-one-band array, #40 is both the ordinal central band and the band containing the temporal midpoint. The #40/#41 boundary becomes the exact temporal midpoint only after the closing #81 band is included. The interpretation may still compare the sealing of the thunders with the sealing of the abyss; it should locate those scenes accurately before developing their symbolism.

The full 2,430-year span can be written 27 × 90 or 3⁴ × 30. Its half is 1,215 years. These numerical forms motivate the proposed contrast between completion and limitation. Revelation 20 itself distinguishes the first resurrection, the remaining dead, and judgment; dividing a calculated span does not establish a new chronology for those events.

Half a length is not necessarily a midpoint

Sarah’s birth to the opening anchor is 2156 − 6 = 2,150 years. Israel’s entry into Egypt to the end of the monthly array is 1876 + 2425 − 1 = 4,300 years. Thus the first length is half the second. Their starting points differ, however. From 1876 BC to 6 BC are only 1,870 years; from 6 BC to AD 2425 are 2,430. The midpoint of that particular 4,300-year interval is AD 275, not 6 BC. The valid comparison is the shared 430-year measure and the ratio of the two lengths.

The 49² proposal and the ministry calibration

AD 2425 − AD 24 = 2,401 = 49 × 49. The arithmetic is retained as a “Jubilee of Jubilees” comparison. AD 24 is one year before the opening of #1 in the default monthly table. Luke 4:16–21 provides the proclamation of release and the year of the Lord’s favor, but it does not assign that proclamation the civil year AD 24. The numerical alignment therefore requires the additional AD 24 calibration; the table and Gospel reference do not establish it independently.

Under the alternative five-year shift, the corresponding relation becomes AD 29 → AD 2430 = 2,401. This preserves the distance because both endpoints move by five years. It does not select either AD 24 or AD 29 as the historical date merely by preserving the equation.

The original conclusion grouped 2,401 with multiples of 490. Its correct form is 49², not an integer multiple of 490. By contrast, 1,470, 1,960, and 2,450 are respectively three, four, and five times 490. These distinct numerical forms remain available without treating them as the same operation.

The 1405 BC coordinate and the nineteen-year comparison

The original 1405 BC → AD 2395 comparison was assigned 3,800 years, or 200 × 19. Its actual elapsed length is 1405 + 2395 − 1 = 3,799 years. The coordinate pair is retained, but the claimed equality needs that arithmetic correction. The same discussion called 1405 BC the rest following an initial six-year conquest. That identification cannot follow from entry in 1406 BC and a conquest/rest band of 1406–1399 BC.

A separate calculation from the established 1406 BC entry anchor to AD 2395 does give 3,800 years. This is an entry-to-coordinate comparison; it does not validate the original 1405 BC calculation or make 1406 BC the completion of the conquest. No date in the monthly table is moved to obtain it.

Censorinus describes the Metonic cycle as nineteen years with seven intercalations (De die natali 18.8); nineteen ordinary twelve-month years plus seven months give 235 months. NASA’s eclipse-period table likewise lists 235 lunations as approximately nineteen years. The comparison is with that calendrical ratio. Multiplying nineteen years by two hundred does not by itself establish an exact recurrence of every solar, lunar, or seasonal condition at the two chosen dates.

A five-year translation and a second festival overlay

Moving the entire monthly array five years later changes the opening from 6 BC to 1 BC. In the arithmetic coordinates, its origin changes from −5 to 0. The first two bands become 1 BC–AD 30 and AD 30–60; #80 becomes AD 2400–2430. Every internal interval is preserved. A relation to an external anchor held fixed, such as 1446 BC, changes by five years.

This shift should be distinguished from keeping AD 16 fixed and giving it a second Nisan label. In the original twenty-one-year array, AD 15–16 is Day #21 and AD 16 completes the twenty-first unit. Starting a separate ordinal overlay at 1 BC places AD 16 at the opening of its seventeenth unit. Shifting the entire twenty-one-year array five years later would instead make it end in AD 21.

The labels “lunar” or “Talmudic” do not independently date such an origin to 1 BC. The alternative is an origin chosen for this model. Its firstfruits associations should also retain Part 1’s distinction between a fixed Nisan 16 and a Sunday reckoning whose Nisan date varies.

The 1,460-year sanctuary comparison

With the tabernacle assigned to 1445 BC, the calculation to AD 16 is 1445 + 16 − 1 = 1,460 years. Exodus 40:17 supplies the first-month, first-day, second-year setting. The BC assignment comes from the Exodus chronology used here.

Censorinus describes the Egyptian civil year as 365 days without intercalation and its Sothic return in the 1,461-year reckoning (De die natali 18.10). The idealized equality is:

1,460 × 365.25 days = 1,461 × 365 days = 533,265 days

Thus the comparison uses 1,460 Julian years and 1,461 Egyptian civil years. The two year counts are not interchangeable. The sanctuary-to-AD-16 interval matches the former length; identifying those endpoints with observed heliacal risings of Sirius would require separate evidence. No such observed phase alignment is assumed here.

I. The thirty, thirty, thirty-one variation

The equal-month table assigns thirty years to every band. The variation gives each third band thirty-one years, producing a repeated thirty, thirty, thirty-one pattern. The four added days and ninety-one-day seasonal reckoning are described in 1 Enoch 82:4–6, 11, 15. Mapping those days onto years is the additional scaling operation used here.

Before position n, the completed extra quarter-ending units number the whole-number part of n/3. Its opening coordinate is consequently −5 + 30n + floor(n/3). For #80 that gives −5 + 2400 + 26 = AD 2421. Its closing edge is calculated with n = 81 and gives −5 + 2430 + 27 = AD 2452.

Feature	Equal thirty-year bands	Quarter-adjusted bands
Complete width, #0–80	2,430 years	2,457 years
Additional units in that width	0	27: one for each completed quarter
Beginning of #80	AD 2395	AD 2421
End of #80	AD 2425	AD 2452
Width of #80	30 years	31 years

The adjusted span can also be written six complete 364-year columns plus three ninety-one-year quarters: 6 × 364 + 3 × 91 = 2,457. In the last column, Kislev 25 opens twenty-four units after the opening of #80: AD 2421 + 24 = AD 2445. Its band is AD 2445–2446. Kislev 31 occupies AD 2451–2452; Tevet 1 occupies AD 2452–2453.

With a thirty-one-unit Kislev, days 25–31 provide seven inclusive positions and Tevet 1 provides the eighth. This supports the proposed Dedication-to-winter transition within this particular display. It should not be generalized to every historical form of the Jewish calendar, in which the month-length assumptions differ.

The exact relations are AD 2 → AD 2452 = 2,450 = 5 × 490; AD 562 → AD 2452 = 1,890 = 70 × 27; and 6 BC → AD 2445 = 2,450 = 50 × 49. The first uses the end of seven-year #0, the second the end of seven-year #80, and the third the beginning of the assigned Kislev 25 band. Stating those edges is essential to reproducing the results.

J. Numerical vocabulary used in the proposal

The following associations collect the numerical vocabulary of the original discussion. They describe the roles a number plays in this reading. They are not universal definitions of every biblical occurrence of that number.

Number	Textual or interpretive setting	Use in this study
3½	Time, times, and half a time; Revelation 12:14; Daniel 7:25	A half-week relation; compared with 1,260 days and forty-two months.
7	Creation, Sabbath, and sevenfold sequences	The unit used for a week or a seven-year band.
10	Completeness and testing in selected biblical settings	Ten 430-year spans; the ten thunder occurrences remain lexical data.
12	Tribes, apostles, and monthly fruit	Twelve bowls; twelve month-like units make a schematic year.
40	Wilderness/testing periods; Numbers 14:34	A generational measure in the 1,400 and 2,000 comparisons.
42	Months of testimony or authority in Revelation 11–13	42 × 30 = 1,260.
70	Exile/restoration and the seventy weeks; Psalm 90:10 gives a lifespan comparison	Seventy lexical occurrences when thunders are omitted.
80 / 81	Psalm 90:10 supplies the eighty-year lifespan comparison; 81 = 9²	Eighty lexical occurrences; eighty-one bands only after the opening is added.
360	Twelve schematic thirty-day months	A 360-year “great year” after scaling; a defined unit here.
364	The year and four added days in 1 Enoch 82	52 × 7; four quarters of 91.
400	Genesis 15:13	Five such lengths from Jacob’s adopted birth date to 6 BC.
430	Exodus 12:40–41	The shared measure in the 2,150-, 3,010-, 3,870-, and 4,300-year comparisons.
490	Seventy seven-year units; Daniel 9:24	Ten units of 49; the “Grand Jubilee” terminology used in the study.
500	Ten units of 50	The alternative Jubilee measure compared with 490; not the same interval.
1,260	Revelation 11:3; 12:6	Forty-two thirty-day months, scaled here to forty-two thirty-year intervals.
1,290	Daniel 12:11	Thirty more than 1,260; the proposed additional-month analogy.
1,335	Daniel 12:12	Retained as related prophetic vocabulary; no new date equation is introduced here.

The sixty-nine- and seventy-based conversion rules developed in Part 4 are further operations. They are not silently applied to the ordinary elapsed-year tables in this appendix. The same is true of reflected dates: a mirror requires a stated axis, while the tables here use a forward chronology from the adopted origin.

K. Sources and limits of the comparison

The lexical inventory, calendar arrays, and proposed long-range correspondences come from this five-part Revelation study. The revision preserves their original numerical data and makes their operations explicit. It is an editorial and arithmetic comparison, not a new critical-edition count of the Greek words.

• Revelation 1, 11, 21, and 22: lampstands, witnesses, final city, and monthly fruit.
• Numbers 14:34 and Ezekiel 4:5–6: explicit day/year relations in their respective settings.
• Exodus 12:40–41, 40:17, Leviticus 23, and 25:8–10: sojourn, tabernacle, festivals, and Jubilee.
• Daniel 9:24–27 and 12:7–12: the seventy weeks and related prophetic durations.
• Luke 3:23, 4:16–21, and John 10:22–23: Jesus’ approximate age, the proclamation of release, and Dedication in winter.
• Zechariah 1:12, 7:5, and Ezra 6:15: the restoration setting and the completed temple.
• 1 Enoch 82, R. H. Charles translation: the 364-day year and seasonal additions.
• Censorinus, De die natali 18.8–10, Latin text at LacusCurtius: the Metonic and Egyptian civil/Sothic cycles. Fred Espenak, NASA, “Periodicity of Lunar Eclipses”: the approximate nineteen-year relation to 235 lunations.
• 490d Unified Chronology and the related Passion Week study: the website’s broader chronology and calendrical proposals.

The selected word groups, their arrangement, the scale, the origin, and the choice of boundary all affect the resulting correspondences. Stating them allows a reader to distinguish arithmetic consequences from the theological argument. The proposal of divine ordering is preserved as an interpretation to be weighed through the whole pattern; no statistical probability has been calculated.

Return to Part 3: Revelation’s Tokens as Scaled Epochs.

Part 3 · Main discussion

Biblical references link to the Berean Standard Bible (BSB), public domain. Table wording is descriptive rather than a continuous quotation. Original lexical counts and calendar assignments have been retained.