2636: What If? 2 Countdown

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What If? 2 Countdown

Title text: If you don't end the 99 Bottles of Beer recursion at N=0 it just becomes The Other Song That Never Ends.

Explanation

This explanation may be incomplete or incorrect: Created by FOUR SCORE AND 7 BOTTLES OF BEER ON THE WALL - Please change this comment when editing this page. Do NOT delete this tag too soon. If you can address this issue, please edit the page! Thanks.

This comic takes the idea of advent calendars to the extreme. It uses absurd and obscure ways to measure the amount of time until Randall's new book What if? 2 is released, with esoteric units and esoteric numbers.

Some concepts that appear multiple times throughout the calendar are:

• SI prefixes, which can be applied to the beginning of a unit's name to multiply or divide the unit by powers of 10 or 1,000. This is standard for units like meters and grams, but is rarely applied to measurements of time other than when a unit of less than one second is needed, most commonly in various fields of science and engineering such as physics and electronics.
• The Gettysburg Address, a famous speech delivered by U.S. president Abraham Lincoln in 1863, where he began by referring to the signing of the Declaration of Independence taking place "four score and seven years ago". A score is a dated term for the number 20, so "four score and seven" is equivalent to 87.
• A dog year is traditionally considered to be one-seventh the length of a normal human year, since a dog's overall lifespan is roughly one-seventh of a typical human's. The comic applies this to other units of time, such as minutes and months, each of which is also one-seventh the length of the standard unit. The number 7 (traditionally a "lucky number") is also used in many of the numbers quoted in the calendar.
• Other comparative durations of time that are not normally or usefully applied to day-length multiples. At the top end, there is the age of the universe, at the other there is Planck-time – with entire durations of periods of human history and the time needed to watch popular TV/film franchises in-between – most of which require a non-trivial multiplier or divisor to bring them to the necessary scale required.
• A baker's dozen is 13, or one more than a normal dozen. Here, the "baker's" prefix can be applied to any unit by adding an extra one of its constituent parts, like an extra hour added to a day.
• Irrational numbers like pi (3.14159...), Euler's number or e (2.71828...), the golden ratio (1.61803...), and the square root of 2 (1.41421...). These are all interesting numbers because of their mathematical properties, but very impractical to use as arbitrary measurements of time because they have an endless series of non-repeating decimal digits.
• The teenage dating game Seven minutes in heaven.
• Rotation and revolution periods of various planets and moons in the Solar System.

Days left	Date	Duration specified	Duration in days	Explanation
83	Jun 22	πe millidecades	82.03 days	π ≈ 3.14159, e ≈ 2.718, so πe is about 22.459. A millidecade is 1/1000 decade, or 1/100 year, or 3.652425 days. Multiplying these results in 82.03 days. This is a play on Euler's identity, eiπ+1=0, but raising pi to the power of e instead.
82	Jun 23	7 megaseconds	81.02 days	7,000,000 seconds. 60*60*24 = 86400 seconds in a day, so 7,000,000/86,400 ≈ 81.02 days
81	Jun 24	e lunar months	80.27 days	A lunar month ≈ 29.53059 days, e ≈ 2.718, so 29.53059*2.718 ≈ 80.26 days.
80	Jun 25	60 rotations of Foucault's pendulum in Paris	79.67 days	Foucault's pendulum demonstrates Earth's revolution, with the one at the latitude of Paris completing a full rotation every 31.8 hours.
79	Jun 26	8 milligenerations	78.89 days	A generation is in general 22-33 years, with a reasonable mid-point of 27; and 8 x 0.001 (milli) x 365.2425 (accounting for leap years) x 27 ≈ 78.89 days
78	Jun 27	777,777 dog minutes	77.16 days	A popular myth is that dogs age 7 times faster than humans, so 1 dog minute equals 1/7 human minutes.
77	Jun 28	7! episodes of Jeopardy! (skipping ads)	77+ days	7! = 7x6x5x4x3x2x1 = 5040. The standard episode of Jeopardy is 22-26 minutes, skipping ads. At 22 minutes each, the total is 110,880 minutes, or exactly 77 days.
76	Jun 29	5,000 repeats of 99 Bottles of Beer	76.39 days	Each verse of 99 Bottles of Beer is "N bottles of beer on the wall, N bottles of beer. Take one down, pass it around, N-1 bottles of beer on the wall." The entire song contains 99 verses. Randall apparently sings this rather slowly at around 72 bpm, taking about 13 seconds per verse.
75	Jun 30	5 baker's fortnights	75 days	A baker's dozen is a dozen (12) plus 1 extra item. Randall has generalized this to adding 1 to any unit. A fortnight is 2 weeks, so a baker's fortnight is 15 days. 5x15 is 75 days.
74	Jul 1	√2 dog years	73.79 days	See day 78 (Jun 27)
73	Jul 2	π millivics (1/1000th of Queen Victoria's reign)	72.97 days	Queen Victoria ruled between 20 June 1837 and 22 January 1901 (23,226 days).
72	Jul 3	42 drives from NYC to LA (Google Maps estimate)	71.75 days	According to Google Maps, the drive from New York City to Los Angeles via I-80 W (2789 miles or 4489 km) takes 41 hours.
71	Jul 4	1,000 viewings of Groundhog Day	70.14 days	Using Groundhog Day's 101-minute run time.
70	Jul 5	100,000 minutes	69.44 days	1,440 minutes per day
69	Jul 6	1/10th of Martian year	68.70 Earth days	Martian sidereal and tropical years both round to 687.0 Earth days
68	Jul 7	1,234,567 sound-miles	67.63 days	The speed of sound in air depends on the temperature. 15 °C or 59 °F gives the value 340 m/s and the travel time of 67.6349058 days.
67	Jul 8	2πe seconds	66.74 days	2^(π^e) = 5,766,073 seconds
66	Jul 9	216 beats (Swatch Internet Time)	65.54 days	A ".beat" is equal to 1/1000 day.
65	Jul 10	1,000 ISS orbits	64.58 days	Each orbit of the ISS takes 90-93 minutes. Here a value of 93 minutes is used.
64	Jul 11	🎵🎶🎵 Five hundred twenty five thousand (base seven) minutes	62.88 days	This refers to radix-7 arithmetic: 525,0007 minutes = 90,55210 minutes. Also references the opening and recurring line "Five hundred twenty five thousand six hundred minutes" from Seasons of Love, a song from the musical Rent, which is also referenced in 1047: Approximations. "Base seven" has the same rhythm as "six hundred".
63	Jul 12	1050 Planck times	62.38 days	10^50 x 5.39 x 10^-44 seconds
62	Jul 13	4,000 episodes of The Office (skipping ads)	62.50 days	The Office was originally a BBC television show which had no commercial breaks, so Randall must be referring to the later US version. This US "half-hour" comedy format contains 22.5 minutes of content (including the title sequence) and 7.5 minutes of ads. There are only 201 distinct episodes of the US version, so watching 4,000 episodes would require a lot of re-watching.
61	Jul 14	Four score and seven kilominutes	60.42 days	87 x 1000 minutes
60	Jul 15	2 lunar months	59.06 days	There are a number of different ways to define the lunar month. The most common is the synodic month, because it relates to the phases of the moon, and it's approximately 29.53 days.
59	Jul 16	Half a day on Venus	58.38 Earth days	A Venus synodic day is 116 days 18 hours.
58	Jul 17	5 megaseconds	57.87 days	5,000,000 seconds
57	Jul 18	30 microLits (1/1,000,000th of the time since the invention of literature)	57.21 days	5222 years × 30 × 10-6. 3200 BCE is the approximate date of pre-Sumerian proto-writing as given in Wikipedia's article on the history of writing.
56	Jul 19	1,000 viewings of Run Lola Run	55.57 days	Using the movie's run time of 80 minutes.
55	Jul 20	One million sound-miles	54.78 days	The speed of sound in air depends on the temperature. 15 °C or 59 °F gives the value 340 m/s and the travel time of 54.7843137 days.
54	Jul 21	30 Ionian months	53.07 Earth days	Orbital period of Io around Jupiter is approximately 1.77 days.
53	Jul 22	One dog year	52.18 days	See day 78 (Jun 27)
52	Jul 23	60 viewings of Star Wars Episodes I-IX	51.75 days	According to Fansided the combined running times are 20 hours 42 minutes.
51	Jul 24	1/100,000,000,000th of the universe's age	50.40 days	The universe is estimated to be about 13.8 billion years old.
50	Jul 25	5 milli-generations	49.3 days	See day 79 (Jun 26)
49	Jul 26	10,000 games of 7 minutes in Heaven or 7 games of 10,000 minutes in Heaven	48.61 days	Seven minutes in heaven is an Anglo-culture teenager game, occuring in several movies. 10,000 minutes in Heaven is almost a week of making out (or doing whatever in a broom closet), so this game is unlikely.[citation needed]
48	Jul 27	φeπ minutes	47.62 days	68,567.57 minutes
47	Jul 28	4 megaseconds	46.30 days	4,000,000 seconds
46	Jul 29	216 minutes	45.51 days	65,536 minutes
45	Jul 30	eee seconds	44.15 days	3,814,279.10 seconds
44	Jul 31	π fortnights	43.98 days	3.14159 x 14 days
43	Aug 1	One devil's spacewalk (666 orbits of the ISS)	43.01 days	See day 65 (Jul 10). 666 is the number of the beast.
42	Aug 2	1 kilowatt-hour per watt	41.66 days	1000 hours
41	Aug 3	eπ Ionian months	40.94 Earth days	Orbital period of Io around Jupiter is 1.769137786 days
40	Aug 4	30 rotations of Foucault's pendulum in Paris	39.84 days	Refer to Day 80 (Jun 25)
39	Aug 5	e fortnights	38.06 days	2.71828 x 14 days
38	Aug 6	πe baker's days (25 hours)	37.98 days	See day 75 (Jun 30)
37	Aug 7	One deciyear	36.52 days	One tenth of one year
36	Aug 8	7! milliweeks	35.28 days	5040 × 0.001 weeks
35	Aug 9	100,000 plays of the Jeopardy! "Think" music	34.72 days	Think is the music played while the contestants try to answer the Final Jeopardy question; it is 30 seconds long.
34	Aug 10	1000 basketball games (game time)	33.33 days	Uses the NBA game time of four 12-minute quarters, or 48 minutes
33	Aug 11	777 hours	32.38 days	24 hours per day
32	Aug 12	One millilincoln (1/1000 of fourscore and seven years)	31.78 days	Abraham Lincoln's Gettysburg Address begins with the famous phrase "Four score and seven years ago". 1 score = twenty.
31	Aug 13	1,000 episodes of 60 Minutes (skipping ads)	31.25 days	Uses a television 'hour' containing 45 minutes of content and 15 minutes of ads
30	Aug 14	All of Star Trek, consecutively	27.16* days	As per RedShirtsAlwaysDie.com of January 22, 2021. *Note well: dozens of additional Star Trek franchise episodes have been produced since, and more are presently scheduled to be released through June, July, and August, so this value is somewhat indeterminate over the scope of the countdown.
29	Aug 15	777,777 nanocenturies	28.41 days	777,777 × 10-9 × 100 years. So 777,777 × 10-7, which uses 7 '7' characters.
28	Aug 16	One sidereal lunar month	27.3 days	The time it takes moon to return to the same position relative to the fixed stars
27	Aug 17	6 dog months	26.1 days	See day 78 (Jun 27)
26	Aug 18	ππ kilominutes	25.32 days	36,462.16 minutes
25	Aug 19	7 games of 7! minutes in Heaven	24.5 days	7 x 5040 (7 Factorial) minutes. See also day 49 (Jul 26).
24	Aug 20	50 viewings of the extended Lord of the Rings trilogy	23.82 days	The Fellowship of the Ring extended version is 208 minutes, The Two Towers is 226 minutes, and The Return of the King is 252 minutes for its e.v., according to FictionHorizon.com
23	Aug 21	A drive from NYC to LA where you keep remembering new things you forgot and have to go back 6 times	22.21 days	See day 72 (Jul 3). This is for 6 round-trips and 1 one-way trip.
22	Aug 22	It's a Small World sung at 1/10,000th speed	21.18 days	It's a Small World is a song that was composed for the attraction of the same name at various Disney theme parks, and plays continuously at them in various languages. The song lasts 12–15 minutes, depending on the language.
21	Aug 23	500 hours	20.83 days	24 hours per day, or 0.041678 days per hour
20	Aug 24	√2 fortnights	19.80 days	1.4142 × 14 days
19	Aug 25	Time it would take Vanessa Carlton to walk 1,000 miles	18.94 days	Vanessa Carlton is an American singer, and A Thousand Miles is her most successful song. Randall estimates her walking speed at about 2.2 miles/hour.
18	Aug 26	100,000 breaths	15 seconds per breath for 17 days*	The normal respiratory rate for adults is *typically 12-20 breaths per minute, or about 3-4 seconds each. Randall may be a practitioner of "slow breathing."
17	Aug 27	√2 megaseconds	16.37 days	1.4142 × 1,000,000 seconds
16	Aug 28	πππ πcoseconds	15.51 days	1.3402 × 1018 picoseconds (i.e., 10-12 seconds), making a joke how the mathematical "pi" is written with the character "π"
15	Aug 29	One baker's fortnight (15 days)	15 days	See day 75 (Jun 30)
14	Aug 30	One baker's dozen (13) baker's days (25 hours)	13.54 days	325 hours; see day 75 (Jun 30)
13	Aug 31	300 hours	12.5 days	0.041678 days per hour
12	Sep 1	One million seconds	11.57 days	86,400 seconds per day
11	Sep 2	One nonstop bike ride from NYC to LA	10.54 days	Google maps estimates the trip at 253 hours
10	Sep 3	1⁄1,000th of a generation	9.86 days	See day 79 (Jun 26)
9	Sep 4	777,777 seconds	9.002 days	1.15741×10-5 days per second
8	Sep 5	100 viewings of Groundhog Day	7.01 days	See Day 71 (Jul 4).
7	Sep 6	100 games of Lincoln Kissing (Fourscore and seven minutes in Heaven)	6.04 days	8,700 minutes
6	Sep 7	One pico-universe-lifetime	5.04 days	See Day 51 (Jul 24)
5	Sep 8	The Baby Shark chorus for a family of 50,000 sharks	4.63 days	The chorus lasts about 8 seconds per 'person'
4	Sep 9	One centiyear	3.65 days	365.24 days/100
3	Sep 10	Cyndi Lauper's Time After Time played 1,000 times	2.79 days	Based on a length of 4 minutes, 1 second
2	Sep 11	Speed (1994) played at one frame per second	1.9 days	Speed (1994 film) has runtime of 116 minutes = 6,960 seconds = 167,040 film frames at standard frame rate of 24 frames/second
1	Sep 12	F(99) where F(N) means sing all the verses of N Bottles of Beer On the wall followed by F(N-1)	0.76 days	Each iteration contains N verses. N + N-1 + N-2 ... + 1 equals N * (N+1) / 2, so 99 recursions = 4950 verses. Using the same 13-second (72 bpm) rate as Jun 29, this is close to 18 hours. Probably refers to Donald Knuth's article The Complexity of Songs.
0	Sep 13	What If? 2 release day	N/A

The title text refers to the recursive time period on Sep 12. If you don't stop when you reach N=0 bottles, the repetition never ends, so that time interval becomes infinite. He likens it to The Song That Never Ends, another repetitive children's song, which is specifically intended to go on forever. The difference is that the Beer song has a natural stopping point at 0, while The Song That Never Ends is completely repetitive.

Transcript

This transcript is incomplete. Please help editing it! Thanks.

Large heading: Countdown to What if? 2

Subheading: (Preorder at xkcd.com/whatif2 to get it at the end of the countdown)

Remainder of comic is a calendar with the date in one corner of each day's box.

Date	Description
Jun 22	πe millidecades
Jun 23	7 megaseconds
Jun 24	e lunar months
Jun 25	60 rotations of Foucault's pendulum in Paris
Jun 26	8 milligenerations
Jun 27	777,777 dog minutes
Jun 28	7! episodes of Jeopardy! (skipping ads)
Jun 29	5,000 repeats of 99 Bottles of Beer
Jun 30	5 baker's fortnights (15 days)
Jul 1	√2 dog years
Jul 2	π millivics (1/1000th of Queen Victoria's reign)
Jul 3	42 drives from NYC to LA (Google Maps estimate)
Jul 4	1,000 viewings of Groundhog Day
Jul 5	100,000 minutes
Jul 6	1/10th of Martian year
Jul 7	1,234,567 sound-miles
Jul 8	2πe seconds
Jul 9	216 beats (Swatch Internet Time)
Jul 10	1,000 ISS orbits
Jul 11	🎵🎶🎵 Five hundred twenty five thousand (base seven) minutes
Jul 12	1050 Planck times
Jul 13	4,000 episodes of The Office (skipping ads)
Jul 14	Four score and seven kilominutes
Jul 15	2 lunar months
Jul 16	Half a day on Venus
Jul 17	5 megaseconds
Jul 18	30 microLits (1/1,000,000th of the time since the invention of literature)
Jul 19	1,000 viewings of Run Lola Run
Jul 20	One million sound-miles
Jul 21	30 Ionian months
Jul 22	One dog year
Jul 23	60 viewings of Star Wars Episodes I-IX
Jul 24	1/100,000,000,000th of the universe's age
Jul 25	5 milli-generations
Jul 26	10,000 games of 7 minutes in Heaven or 7 games of 10,000 minutes in Heaven
Jul 27	φeπ minutes
Jul 28	4 megaseconds
Jul 29	216 minutes
Jul 30	eee seconds
Jul 31	π fortnights
Aug 1	one devil's spacewalk (666 orbits of the ISS)
Aug 2	1 kilowatt-hour per watt
Aug 3	eπ Ionian months
Aug 4	30 rotations of Foucault's pendulum in Paris
Aug 5	e fortnights
Aug 6	πe baker's days (25 hours)
Aug 7	one deciyear
Aug 8	7! milliweeks
Aug 9	100,000 plays of the Jeopardy! "Think" music
Aug 10	1000 basketball games (game time)
Aug 11	777 hours
Aug 12	one millilincoln (1/1000 of fourscore and seven years)
Aug 13	1,000 episodes of 60 Minutes (skipping ads)
Aug 14	All of Star Trek, consecutively
Aug 15	777,777 nanocenturies
Aug 16	one sidereal lunar month
Aug 17	6 dog months
Aug 18	ππ kilominutes
Aug 19	7 games of 7! minutes in Heaven
Aug 20	50 viewings of the extended Lord of the Rings trilogy
Aug 21	A drive from NYC to LA where you keep remembering new things you forgot and have to go back 6 times
Aug 22	It's a Small World sung at 1/10,000th speed
Aug 23	500 hours
Aug 24	√2 fortnights
Aug 25	Time it would take Vanessa Carlton to walk 1,000 miles
Aug 26	100,000 breaths
Aug 27	√2 megaseconds
Aug 28	πππ πcoseconds
Aug 29	One baker's fortnight (15 days)
Aug 30	One baker's dozen (13) baker's days (25 hours)
Aug 31	300 hours
Sep 1	One million seconds
Sep 2	One nonstop bike ride from NYC to LA
Sep 3	1⁄1,000th of a generation
Sep 4	777,777 seconds
Sep 5	100 viewings of Groundhog Day
Sep 6	100 games of Lincoln Kissing (Fourscore and seven minutes in Heaven)
Sep 7	One pico-universe-lifetime
Sep 8	The Baby Shark chorus for a family of 50,000 sharks
Sep 9	One centiyear
Sep 10	Cyndi Lauper's Time After Time played 1,000 times
Sep 11	Speed (1994) played at one frame per second
Sep 12	F(99) where F(N) means sing all the verses of N Bottles of Beer On the wall followed by F(N-1)
Sep 13	What If? 2 release day

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Discussion

I've started the table to explain all the calendar entries. Barmar (talk) 00:19, 23 June 2022 (UTC)

Is the dog minutes calculation backwards? 777,777 dog minutes should be 777,777 x 7 human minutes, which is over 10 years. Randall seems to be dividing instead of multiplying. Barmar (talk) 00:36, 23 June 2022 (UTC)

No - 1 human year = 7 dog years; 1 dog year = 1/7 human year; 1 dog minute = 1/7 human minute; 777,777 dog minutes = 111,111 human minutes = 77 days, 3 hours, 51 minutes. 172.70.90.173 11:32, 23 June 2022 (UTC)

First entry is probably mistake by Randall, e^pi would give value of 84.5 162.158.203.38 11:57, 23 June 2022 (UTC)

That would be too high, though. 82.xxx days (from midnight at the start of launch day) would fall within the 83rd day before it (Jun 22). 84.5 would fall within the 85th (Jun 20). 172.70.91.58 12:15, 23 June 2022 (UTC)

Not sure if this is even worth mentioning, but he forgot the box around the date number in the top corner for August 29th. 172.70.126.151 12:49, 23 June 2022 (UTC)

Fyi, used wolfram alpha for most of the calculations. Seems to be able to handle anything I throw at it (nanocenturies, megaseconds, fortnights etc) Aditya95sriram (talk) 13:02, 23 June 2022 (UTC)aditya95sriram

Some of the calculations done forward (assuming what Randall means as a Generation, for example) might be best done as "to get this many days, what does Randall think ilhe is starting from. And see if 365, 365.25 or even 365.24 days per year works best, where relevent. Although I think in many cases you'll find the fractional differences negligable, when done right. (I'm also a bit surprised by the off-by-one errors in days-to-go and derived value, but I suspect that this is because of assymetric rounding effects that would be revealed by running the assumption backwards and seeing how different (or otherwise) the decimals actually are.) 172.70.85.211 13:32, 23 June 2022 (UTC)

I would suggest using 365.2425 days per year, as that's consistent with current leap year conventions. Dansiman (talk) 21:49, 23 June 2022 (UTC)

Did not see your comment, but already done trivial replacement. No recalculation that goes more complicated than magnitude, though.

(For the mathematically curious, in the Gregorian calendar it's normally 365 days, but a leap day every four years (+0.25 => 365.25), except no leap day every century (-0.01 => 365.24), except there is every fourth century (+0.0025 => 365.2425). Which is very very close to the more astronomically-precise figure of 365.2422, at least at this point in our planet's history and definitely over the timescale of the Gregorian calendar itself. edit-to-add-convoluted-musings: A successor system might need to de-reinstate three of the Four-Millenial leap-days in every 10,000 year period, or perhaps by re-removing four of its various leap-days then re-reinstating one of those back again, but by the time it's relevent I doubt that 365.2422 is going to be as valid for whatever reason... Hey, by then, maybe we could just deliberately adjust the Earth in or out a bit to make it a better fraction/not a fraction at all! )

On the other hand, the old adage is "no use being precise over imprecise details". One can perhaps apply it to nominal decades (the true average decade; though a given decade might be 10*365 days plus either two or three leap-days, for 3652.5±0.5 days in that instance... not equally likely each way, though) but the Generations calculation already assumes 27 years per generation (not even 27.5, exactly half way between 22 and 33, which already seems a dubious backformation to suit other purposes) and gets a good-enough approximate number. Using a factor precise to around 1 in 146000 alongside one that's unlikely to be even as accurate as 1 in 54 is a bit rich and overly anal (rather than analytic) in the long-run.

But this is explainxkcd, so I'm not saying it's misplaced, just that those who would be pedantic about everything (myself included) might find themselves even more out-pedanted in very reasonable circumstances... ;) 172.70.162.77 22:47, 23 June 2022 (UTC)

Not sure about most numbers but at least the order of magnitude seemed plausible. I can't quite find a proper way to read August 28th. π^π^π is roughly 80662.666 - if you read πcoseconds as "picoseconds", that's way less than a second. I have no idea what π * coseconds are supposed to be. π * c * o * seconds doesn't look much better - there are values associated with "c" (speed of light, for example) but I have no idea what "o" could be and certainly nothing that would make this a unit of time. Sixteen days would be 1,353,600,000,000,000,000 ps (picoseconds). π^π^π^π is three orders of magnitude too small, π^π^π^π^π is many orders of magnitude too big a number. Am I missing something (really obvious, maybe?) here? 627235 (talk) 14:52, 23 June 2022 (UTC)

Exponent towers are by convention evaluated top-down, so pi^pi^pi should be read as pi^(pi^pi), which is ~1.34e18, which in picoseconds is ~15.51 days. 172.70.114.71 15:21, 23 June 2022 (UTC)

10,000 minutes in Heaven is making out for a week. I was able to find a record for the longest kiss (58 hours, 35 minutes), but not the longest make-out session. I think Randall may be indulging in some nerdy wishfull thinking. Barmar (talk) 15:27, 23 June 2022 (UTC)

When the beer song reached F(0) how would you 'take one down' from -1 bottles of beer? Would they be imaginary bottles of beer? (Joking) At F(n-1) would there be a matter/antimatter annihilation, where Randal could do a riff of What-If #1 and describe the play by play of the bartender turning into exotic forms of matter? 172.69.68.88 15:58, 23 June 2022 (UTC)

(Not ✓-1, it's just straight repeated subtraction, not a power function...) After so much beer, you probably think it a good idea (even necessary) to fill cans up and start to put them back up on the wall... Not sure you could sustain it, to the point of F(-99), but I think someone'd be more than ready to start the process when F(-1) is invoked, for any group of just a few likely individuals.. 172.70.91.58 16:23, 23 June 2022 (UTC)

This begs the question of what beer bottles are doing on a wall, rather than a shelf. Barmar (talk) 16:26, 23 June 2022 (UTC)

Randall already considered what happens at F(0), refer to the title text. Paddles (talk) 08:16, 24 June 2022 (UTC)

If you wanted to take down an imaginary bottle of beer, you'd have to take it from another wall that runs orthogonal to the original wall. 172.70.85.211 08:50, 24 June 2022 (UTC)

We've finally filled in all the units columns in the table. Hopefully someone can automate turning that into a transcript. Barmar (talk) 16:51, 23 June 2022 (UTC)

Funfact: This comic mentions Cyndi Lauper by name, and it was published on her birthday… 162.158.38.27 20:51, 23 June 2022 (UTC)

Sweet! I'm a big fan of playing Time after Time on repeat to get into a flow state, so I loved that one. 162.158.166.183 20:43, 24 June 2022 (UTC)

Looks like someone's math is wrong on the explanation for July 18. I calculated using 4681 and 4763 years and they came out to 51.29 days and 52.19 days, respectively. So then I worked backwards and determined that Randall would actually have to be using a number closer to 5200 years to arrive at the correct result of 57 days. Dansiman (talk) 21:49, 23 June 2022 (UTC)

Randall seems to be wrong about "It's a Small World". The song is about 2 minutes long, so at 1/10,000 speed it's 20,000 minutes = 14 days. He seems to be using a length a little over 3 minutes. I found a YouTube video of the ride that's 3:45, but the song ends at 2:15 and the rest is silent. Barmar (talk) 22:16, 23 June 2022 (UTC)

This video of it on YouTube lasts 3:02. It was uploaded by Universal Music Group (allied with Disney), making it some kind of 'official' version, and its length fits Randall's calculation. (Also, thanks for making the table!) DKMell (talk) 22:38, 23 June 2022 (UTC)

That could be it. It has a long instrumental coda after the singing is done. Barmar (talk) 14:07, 24 June 2022 (UTC)

Could "eπ Ionian months" also be a very subtle reference to the Euler identity given the first two characters of Ionian? Or am I reading/visualising a bit too much into it? Paddles (talk) 08:16, 24 June 2022 (UTC)

Aug 26 needs editing, but I just reset my password and can't fix it. At 4 breaths per minute, 100,000 breaths is 17.36 days. To get 17 days exactly, Randall would need to assume about 4.085 breaths per minute. Wjw 08:24, 24 June 2022 (UTC)

Most of the calculations are very approximate. Barmar (talk) 14:07, 24 June 2022 (UTC)

Many of them were given to subsecond digits of precision, too, so I rounded everything off to two significant digits of days unless there was some compelling reason to have 0, 1, or 3. Don't @ me, because I filled up and homogenized all that column, finally (except for 100,000 breaths, which are slow enough to be what I'm guessing is probably Randall's error.) If someone wants to get a better value for the total duration of Star Trek than the January, 2021 reference I found by counting all the released episodes since up to the date of the cartoon, please do. 162.158.166.183 20:26, 24 June 2022 (UTC)

For Star Trek total run time, it might be best to count all episodes scheduled for release up until August 14, the date of that specification. 172.70.210.233 21:02, 24 June 2022 (UTC)

There's a closing /div HTML tag on the front page after the transcript (but not on this page). Nitpicking (talk) 17:21, 24 June 2022 (UTC)

Thoughts on including a "% of error" column in the table?172.70.130.121 15:54, 27 June 2022 (UTC)

An additional column would make it look worse on mobile portrait, and a residual error wouldn't really explain anything that readers couldn't get a gist of by eyeballing. 172.70.210.233 01:31, 3 July 2022 (UTC)

Most of these don't really have a margin of error, they're all based on specific numbers, beyond that most of them can go to a ridiculous number of decimal places (mostly due to the infinite decimal places of pi, e and phi). Rounding to 2 decimal places is sufficient and doesn't count as a "margin of error". NiceGuy1 (talk) 23:54, 3 July 2022 (UTC)

Several entries were rather unspecific, particularly the ones just saying "See day whatever" (and one "Refer"), so I plugged in some numbers. Also, it seems like the Star Trek entry should specify what's included - strange that unlike the others, it doesn't end up under a day less than the target. Also, that entry referred to/used an article which summarized CBR, I replaced it with the detailed article from CBR itself, then listed all the shows and movies, and added the things the article missed. NiceGuy1 (talk) 23:54, 3 July 2022 (UTC)

Great work. I wonder if Randall is counting some fan-made Trek. 172.70.211.36 01:10, 5 July 2022 (UTC)