The Ledger

S1-01

On 469 days between 1900 and 2100 (UTC), at least three of the seven bodies sat within one arcminute of the same point of the zodiac.

Reading A, window rule (within ±1′ at any instant of the UTC day). Both runs agree.

On how many days from 1900 to 2100 do at least three of the seven bodies sit at the same point of the zodiac (Reading A)? 469 days, 11,896 (day, point) events. Rule: within ±1′ at any instant of the UTC day, 7 bodies, 1 Jan 1900 to 31 Dec 2100 UTC. Both runs agree.

Primary

Accessed October 24, 2026, US Central (CDT).

S1-02

Counting only the printed minute, that happened on 460 days between 1900 and 2100 (UTC).

Reading A, printed-minute rule. Both runs agree.

The same, counting only the printed minute (Reading A). 460 days, 11,421 events. Rule: longitude inside the printed minute [T, T+1′) at some instant of the UT day. Both runs agree.

Primary

Accessed October 24, 2026, US Central (CDT).

S1-03

On 18,508 days between 1900 and 2100 (UTC), at least three bodies sat within one arcminute of the same degree and minute, each in a sign of its own.

Reading B, window rule. This counts every degree and minute, not only 4°20′. Both runs agree on the days.

On how many days do at least three bodies sit at the same position inside a sign (Reading B)? 18,508 days in both runs. Pairs of (day, position): 384,759 (Swiss Ephemeris) and 384,762 (JPL DE440 through Skyfield). The two totals differ by 3 pairs. That difference comes from 15 pairs that appear in only one list (9 only in the DE440 list and 6 only in the Swiss list), all on dates from 2031 on, and they depend on the ΔT model. Rule as S1-01. 1900 to 2030 agrees exactly.

Primary

Accessed October 24, 2026, US Central (CDT).

S1-04

Counting only the printed minute, that happened on 18,079 days between 1900 and 2100 (UTC).

Reading B, printed-minute rule. Both runs agree on the days.

The same, printed minute (Reading B). 18,079 days in both runs. Pairs: 364,145 (Swiss Ephemeris) and 364,148 (JPL DE440 through Skyfield), a difference of 3 pairs. The difference comes from 15 pairs that appear in only one list (9 only in the DE440 list and 6 only in the Swiss list), on the same 15 UTC dates as under the window rule, all from 2031 on. They depend on the ΔT model. Five of the 15 pairs sit one minute apart from their window-rule positions. Rule as S1-02.

Primary

Accessed October 24, 2026, US Central (CDT).

S1-05

Between 1900 and 2100 (UTC), three or more bodies were each at 4°20′ of a sign, within one arcminute, on 228 days. About 214 were expected by chance, so the count sits at chance.

Reading B, window rule: 228 days, 213.8 expected (P = 0.17). Printed-minute rule: 213 days, 202.3 expected (P = 0.23). Reading A, window rule: 6 days, 6.6 expected (P = 0.65). Reading A, printed-minute rule: 5 days, 6.3 expected (P = 0.76).

How often does the 4°20′ position catch such a triple? Reading A, window rule: 6 days, 6.6 expected by chance (P = 0.65 for 6 or more). Reading A, printed-minute rule: 5 days, 6.3 expected (11,421 ÷ 1,800, derived with the same formula; P = 0.76 for 5 or more). Reading B, window rule: 228 days, 213.8 expected (P = 0.17 for 228 or more). Reading B, printed-minute rule: 213 days, 202.3 expected (P = 0.23 for 213 or more). At chance under both rules. Expected values are the event total under that rule divided by 1,800, the number of arcminutes in a sign. P is the chance of at least that many days if the count follows a binomial distribution with chance 1/1800 per event (a Poisson distribution with the expected value shown gives the same P to two decimals). Rule as S1-01 and S1-02. None of the 15 ΔT-model-dependent pairs is a 4°20′ pair; the 4°20′ days are the same under the Swiss and Skyfield ΔT models.

Primary

Ephemeris: Swiss Ephemeris 2.10.03 through pyswisseph 2.10.3.2; JPL DE440 through Skyfield 1.55

Accessed October 24, 2026, US Central (CDT).

S1-06

The Sun, the Moon and Saturn were each at 4°20′ of a sign on the same UTC day on 10 days between 1900 and 2100, from 26 May 1927 to 23 January 2094.

Reading B, window rule. Under Reading A (all three at the same point of the zodiac) the count is 0 days.

Are the Sun, Moon and Saturn ever together at 4°20′? Reading A (same absolute point, same sign): 0 days. Reading B (each at 4°20′ in its own sign): 10 days (1927-05-26, 1940-04-24, 1970-02-23, 1981-04-24, 1983-02-23, 1986-06-26, 2001-05-25, 2031-03-25, 2050-11-26, 2094-01-23, all UTC dates). Rule as S1-01. None of the 15 ΔT-model-dependent pairs is a 4°20′ pair; the ten dates are the same under the Swiss and Skyfield ΔT models.

Primary

Ephemeris: Swiss Ephemeris 2.10.03 through pyswisseph 2.10.3.2

Accessed October 24, 2026, US Central (CDT).

S1-07

On 25 May 2001, Saturn, the Moon and the Sun each reached 4°20′ of a sign: Saturn in Gemini at 02:32:07 CDT, the Moon in Cancer at 05:02:11 CDT and the Sun in Gemini at 06:52:38 CDT (US Central).

Reading B, window rule. The same moments are 07:32:07 UT, 10:02:11 UT and 11:52:38 UT. It is not a Reading A triple, because the Moon is in Cancer.

Does Towel Day 2001 (25 May 2001) reproduce? Reproduces under Reading B only. Saturn at 4°20′ Gemini at 07:32:07 UT, Moon at 4°20′ Cancer at 10:02:11 UT, Sun at 4°20′ Gemini at 11:52:38 UT (02:32:07 CDT, 05:02:11 CDT and 06:52:38 CDT, US Central). Not a Reading A triple, because the Moon is in Cancer.

Primary

Ephemeris: Swiss Ephemeris 2.10.03 through pyswisseph 2.10.3.2

Accessed October 24, 2026, US Central (CDT).

S1-08

On 51.4% of days (UT day), some body sits at 4°20′ of some sign (the plain reading of 51.4%: on its own the position is common).

Window rule (±1′), 7 bodies, any of 12 signs, 1900 to 2100. The Moon alone is 44.0% and the Sun alone 3.39%.

On a random day, how likely is some body to sit at 4°20′ in some sign? 51.4% of UT days (Moon alone 44.0%, Sun alone 3.39%). Rule: window ±1′, 7 bodies, any of 12 signs, 1900 to 2100 UT.

Primary

Ephemeris: Swiss Ephemeris 2.10.03 through pyswisseph 2.10.3.2

Accessed October 24, 2026, US Central (CDT).

S2-01

Of the 49 dated sky claims on the Index, 47 reproduce when we check the stated day.

Day rule (within ±1′ at any instant of the stated UT day). 40 of 42 for the 7 protocol bodies. Node claims count under the either-node rule. The 49 are 39 with a stated clock time and 10 dated without one.

How many of the Index’s dated sky claims reproduce? 47 of 49 claims (position test, day rule: within ±1′ at any instant of the stated UT day). With the 7 protocol bodies only: 40 of 42. Node claims count under the either-node rule (47 of 49). Counts cover 49 dated claims: 39 with a stated clock time and 10 dated without one.

Secondary

Accessed October 24, 2026, US Central (CDT).

S2-02

Counting only the printed minute, 45 of the 49 reproduce.

Printed-minute rule. 40 of 42 for the 7 protocol bodies. The nodes need both the mean and the true node to match under this count.

The same, using only the printed minute. 45 of 49 claims (strict rule: longitude inside the printed minute [T, T+1′)); 40 of 42 for the 7 protocol bodies. The nodes need both the mean and the true node to match under this count.

Secondary

Accessed October 24, 2026, US Central (CDT).

S2-03

Of the 39 claims that state a clock time, 35 reproduce at that time, and 4 do not.

Time test (a crossing within 2 minutes of the stated time, or the body in the stated printed minute at the stated minute for chart claims). The four are the two node claims (both-nodes rule), the Sun on 27 October 2022 (UTC), and sidereal Mars. This is a different test from the 47 of 49 above.

How many stated clock times reproduce? 35 of 39 timed claims (time test: a crossing within 2 minutes of the stated time, or the body in the stated printed minute at the stated minute for chart claims). The four that do not: Node (2 claims, both-nodes rule), the Sun on 27 Oct 2022 (UTC), and sidereal Mars (S2-04, S2-07, S2-08). The two counts, 47 of 49 and 35 of 39, are different tests.

Secondary

Accessed October 24, 2026, US Central (CDT).

S2-04

The Index puts the Sun at 4°20′ Scorpio on 27 October 2022 at 15:57 Austin time (15:57 CDT). Swiss Ephemeris puts that position at 13:54:24 CDT, so the date matches and the time does not reproduce.

Window rule. The same moment is 18:54:24 UT, 123 minutes earlier than printed. At 15:57 CDT the Sun is at 4°25′.

Sun at 4°20′ Scorpio on 27 October 2022. The Index prints “15:57 Austin” (read as 15:57 US Central, CDT). Swiss Ephemeris puts the Sun at 4°20′ Scorpio at 18:54:24 UT, which is 13:54:24 CDT, so the date matches and the time is 123 minutes earlier than printed. At 15:57 CDT the Sun is at 4°25′. The time does not reproduce.

Secondary

Ephemeris: Swiss Ephemeris 2.10.03 through pyswisseph 2.10.3.2

Accessed October 24, 2026, US Central (CDT).

S2-05

The Index’s Starship sky positions reproduce, but the link to the launch does not hold: Venus crosses 4°20′ Cancer 6 h 16 min 59 s before Flight 12 lifts off, and Pluto crosses 4°20′ Aquarius 7 h 10 min 38 s after Flight 13 lifts off.

Flight 12 lifted off at 22:30:22 UT on 22 May 2026 (SpaceX page: 5:30 p.m. CT (CDT); seconds from Wikipedia). Flight 13 lifted off at 22:51:00 UT on 24 July 2026 (SpaceX page: 5:51 p.m. CT (CDT)). Neptune crosses 4°20′ Aries 8 h 0 min 48 s after Flight 13, on 25 July (UT). Swiss Ephemeris; JPL DE440 through Skyfield gives 46.7 s for the Neptune seconds. FAA liftoff time: NOT FOUND (see Sources).

Starship Flights 12 and 13: do the printed sky positions reproduce? The positions reproduce: Venus at 4°20′ Cancer at 16:13:23 UT on 22 May 2026 (page: 16:14 UT), Pluto at 4°20′ Aquarius at 06:01:38 UT on 25 July 2026 (page: 06:01 UT), Neptune at 4°20′ Aries at 06:51:48 UT on 25 July 2026 (page: 06:52 UT). The link to the launch does not hold at the moment of launch. Flight 12 lifted off at 22:30:22 UT on 22 May 2026 (SpaceX page: 5:30 p.m. CT (CDT); seconds from Wikipedia), so Venus crosses 6 h 16 min 59 s earlier. Flight 13 lifted off at 22:51:00 UT on 24 July 2026 (SpaceX page: 5:51 p.m. CT (CDT)), so Pluto crosses 7 h 10 min 38 s later and Neptune 8 h 0 min 48 s later (Swiss Ephemeris; JPL DE440 through Skyfield gives 46.7 s), both on the next UT date, 25 July.

Secondary

Ephemeris: Swiss Ephemeris 2.10.03 through pyswisseph 2.10.3.2

Accessed October 24, 2026, US Central (CDT).

S2-06

On 18 September 2010 (UTC day), the Index puts Jupiter and Uranus at 28°42′ Pisces. Uranus reproduces and Jupiter does not.

Window rule (±1′). Uranus is 0.96′ away, inside by 0.04′. Jupiter is 1.20′ away, 0.2′ outside, and does not match under the printed minute either.

Jupiter and Uranus at 28°42′ Pisces on 18 September 2010 (UTC day). Uranus is 0.96′ away and reproduces under ±1′ (margin 0.04′). Jupiter is 1.20′ away and does not reproduce under ±1′ (0.2′ outside) or under the printed minute.

Secondary

Ephemeris: Swiss Ephemeris 2.10.03 through pyswisseph 2.10.3.2

Accessed October 24, 2026, US Central (CDT).

S2-07

The Index prints sidereal Mars at 4°20′ Cancer at 15:39 US Central (CDT) on 20 April 2020. Swiss Ephemeris gives 20°28′ Capricorn, so it does not reproduce.

Sidereal, Lahiri, as the page states.

Sidereal Mars on 20 April 2020 (Lahiri). The Index prints Mars at 4°20′ Cancer at 15:39 US Central (CDT). Swiss Ephemeris gives 20°28′ Capricorn sidereal (Lahiri), so it does not reproduce. The page states Lahiri.

Secondary

Ephemeris: Swiss Ephemeris 2.10.03 through pyswisseph 2.10.3.2

Accessed October 24, 2026, US Central (CDT).

S2-08

In its two 2023 node claims, the Index uses the mean lunar node.

In the two 2023 node claims the mean node crosses the printed degree and minute within 0.5 minute of the printed time (0.48 and 0.33 minutes). At those instants the true node is 19′ and 47′ away. Under the both-nodes rule the two claims do not reproduce. Under the either-node rule both reproduce.

Does the Index use the mean or the true lunar node (the two 2023 node claims)? The mean node. Rule: the mean node crosses the printed degree-minute within 0.5 minute of the printed time (0.48 and 0.33 minutes). At those instants the true node is 19′ and 47′ away. Under the both-nodes rule the two claims do not reproduce; under the either-node rule both reproduce.

Secondary

Accessed October 24, 2026, US Central (CDT).

S3-01

25 of the Index’s 49 dated sky claims, or 51.0%, are at 4°20′.

Hand-extracted claims, one count per claim.

How often does 4°20′ appear among the Index’s stated degree-minutes? Among the 49 dated claims: 25 (51.0%, a recount of 25 of 49). Rule: hand-extracted claims, one count per claim.

Secondary

Ephemeris: The 42 Index, degree-minutes as printed

Accessed October 24, 2026, US Central (CDT).

S3-02

In the full text of the Index, 516 of 904 degree-minute tokens, or 57.1%, are 4°20′. This counts the Index’s own text, not the sky, so it should not be read as evidence.

Pattern for number, degree sign, number, minute sign, with degrees 0 to 29 and minutes 0 to 59. Two looser patterns give 516 of 948 (54.4%) and 516 of 944 (54.7%). The 4°20′ tokens are found on 88 of the 398 pages fetched on 24 October 2026 (US Central).

How often among all degree-minute tokens in the text of the Index? 516 of 904 tokens (57.1%), on 88 pages: pattern for number, degree sign, number, minute sign, degrees 0 to 29 and minutes 0 to 59. Unfiltered: 516 of 948 (54.4%) with a pattern that also reads line-break splits, and 516 of 944 (54.7%) with a second pattern. The 398 pages were fetched on 24 October 2026 (US Central).

Secondary

Accessed October 24, 2026, US Central (CDT).

S3-03

The Index’s own Method page says: “The looking is the work.” and “The test is not how many 42s can be found. The test is which 42s remain after we try to remove them.”

Quoted as published.

What does the Index say about how its numbers were found? The Method page says: “The looking is the work.” and “The test is not how many 42s can be found. The test is which 42s remain after we try to remove them.” Quoted as published.

Secondary

Accessed October 24, 2026, US Central (CDT).