This is another longer, experimental episode with multiple parts (which are marked in the video timestamps). Hope you enjoy! Leave a comment letting me know your favorite (or least favorite) idea from it, or any of your own ideas!
What about swatch (BMT - Biehl Mean Time) time? That was a "standard" proposed years ago, dividing the day into 1000 ticks from 000 to 999 where 000 would be fixed at 0:00 CET (UTC+1) with never counting switching regarding to DST or time zone you are in...
In the previous millennium i had a gas cooker that just for a minute after midnight (its local midnight) was showing an hour 24:00 - it was very fun - nobody noticed that bug because nobody stayed in the kitchen past midnight and i didnt call it a bug i called it a feature. The fraction idea is very nice - children in kindergarten (those which manage to learn the clock) could already learn the fractions... rational numbers... and pi :) - 12 hours = pi, 6 hours = PI/2 , 15 minutes or 3 hours = PI/4
Another idea would be a 8191 10 seconds binary counter - switching few of its 13 bits every 10 seconds - so that it would add up to 22:45 and between 22:45 and 24:00 it would not work leaving you some spare time to fall asleep :) @@matthewireland5195 - instead of a day having 25 hours which would make people work longer this idea would allow a shorter day so you would work and "consciouing" shorter leaving you some time in a physical day for your own :) at 10...0 it would be binary noon and the bits would fill up to the full day with 0, 1111, 0111, 1111 you would just add up single hole and knew its 10s * 2^7 seconds till your digital noon so roughly 20 minutes. The issue with standarization requirement between diff people would need to prevail. { (half day bit), (6 hours bit) (3 hours bit) (movie bit) (school hour bit), (20 min) (10 min bit) (5 minutes) (sth around 2 minutes), and the least 4 bits are super fast ( ovver 1 minute bit) ( half minute) ( 20 seconds) (10 seconds)}
I LOVE this. I remember being a 12 year old, and having some of these ideas in my brain, and arguing with a teacher that clocks don't make sense, and that 12:00 can't actually exist, it's supposed to be 0:00. I got detention because I got frustrated being a child an being unable to express my thoughts.
I heard that IIII as 4 was actually for the practical reason that it meant you could have a mould with the characters IIIIIVX, cast it four times, and exactly have all the characters you need for a full clock. With a side order of Louis XIIII vanity.
yeah, it has nothing to do with not confusing it for 6. Plus, you can clearly tell when it is upside down, as the X lines are not symmetrically the same size; one is thin and the other thick. And the V is literally upside down, so how the hell would IV upside down ever be confused for VI? I prefer the Roman numeral clock design
There are a couple more reasons: 1) IV wasn't uniformly used early on; it was often written as IIII in everyday use, with IX being the first number consistently written using the 'one-before-whatever' notation. 2) In styles where the letters I and V are roughly the same width, using IIII makes the clock face more balanced visually.
Something about the comfortable loosening into a bit more unhinged than usual is really enjoyable. Like a gently warmed combustible. Nice touch every now and again
The idea of time going negative past 12 is interesting to me, the absolute value of the time would align with the sun (going up when the sun goes down and down when the sun goes down), it would also be fun to look at a clock as it reverses direction
Agreed. We still wouldn't be able to tell the period from a picture of a clock. But at least this way we could tell it if we can see the direction it's moving
One problem I see with the reversing clock idea is that it would make times near noon and midnight more ambiguous if you can't see the motion. Right now as long as you know *roughly* what time of day it is, within + or - 6 hours, you can look at a clock and know the time for sure. But with the clock that runs backward half the time, what if you happen to know that it's *around* midnight, and you look at the clock and see it's at the 11:00 position? With a clock that only runs forward, you would know it's definitely 1 hour before midnight, *not* 11 hours after. But with the clock that runs backward, it could plausibly be either 11:00 or -11:00.
Just add an indicator in the space above the pendulum number line. That reads either + or -. Or the second hand can reverse direction every twelve hours.
J. Johnston Halcro recommended a very similar system to your part -1 in his 1937 book “The reverse notation; introducing negative digits with twelve as base”. I find the decimal version very useful when doing arithmetic.
Can you do a video explaining how time should be kept on other planets that have different rotational/orbital periods than Earth? (or timekeeping in space in general)(and how these times can be reconciled with Earth time)
This is one of my favorite TH-cam videos ever. Adore the silliness paired with genuine insights. The number range chart you showed displaying how strange it is for our 12 hour clocks to start at 1 but end at 12:59:59; yet really are shown to be bound by 0-12 was an insight I was not ready for on a Saturday. Amazing work!
Love to see that I'm not the only person to be obsessed with clocks. The French once tried to introduce a 10-based hour system, with little success. And the Roman numeral IIII on the clock face is a purely esthetic design so that you have symmetrically 4 numbers of I, 4 numbers with a V and 4 numbers with an X. Further we could appreciate how threeven our current time system is!
"Yo dude, meet me at Wendy's tomorrow for lunch." "What time?" "-11 and 7/12 o'clock." "Naw dawg, I'm on that new 36 time." "Oh, in that case 20:13:18. But are you on negative count-down evenings?" "You know it, man." "Then I'll see you at -16:+13:+/-18." "Sweet, I'll be there."
In german the minutes are expressed as fractions. To 9.30 is called "halb zehn": halve ten. And in some parts of Germany this is extended to the quarters as well. 9.15 is quarter 10 and 9.45 is three quarters ten
In some other parts 9:15 is "quarter past 9" (9:45 is the same as you said)
ปีที่แล้ว +7
Not everywhere. Way back when I was in school, we had a choir meet in Passau, together with a local school choir, another Czech one, and one from Austria. On the second day morning, the Austrian choirmaster was responsible for arranging a bus to take us from our lodgings to the school for the big group practice, and he got the bus to come pick us up at "half ten", which to him meant 9:30. Unfortunately, for the bus driver, the same phrase meant "half *past* ten", or 10:30.
Also 23:59:60 does happen with leap seconds, they're just infrequent enough that we accept our clocks won't handle it and be a second off once every so often(at most twice a year, but based on current trends about once every 12 or so years). Computer systems know software often can't handle 61 seconds in a minute and will either repeat 23:59:59 or continue ignoring it, then the next time network time is pulled be automatically corrected.
Or what google does, smearing the leap second across a 20 hour period, 10 hours before and 10 after, so the instant the leap second is introduced google servers are off by half a second.
@@DiThiIIRC, the term is clock slewing, which is confusing because that also refers to time signals becoming desnychronized due to different signal delays. Time synchronization is a surprisingly difficult problem. I worked on a system which has to wirelessly sync some audio recorders to within a few milliseconds. The solution ended up being dedicated microcontrollers which detected a radio pulse and directly injected it (bit banging) into the audio stream on another channel.
Great video. Quick note on IIII as 4 in Roman numerals; so that’s actually a perfectly valid way to represent 4, it’s called additive counting and it was in fact the more common system until about the eleventh century when subtractive counting (i.e. IV for 4) displaced it. The issue with clocks is that they also use IX for 9, rather then VIIII, and while both of those are fine in isolation they’re garbage together, the system has to stay consistent to be even remotely functional. Sadly 49 has never been written as IL though, no matter how funny that would be.
This kind of thing could be useful for worldbuilders (authors, DMs, etc) to keep in mind. The systems of measurement a world uses might say something about its history. An idiosyncratic, messy system like ours suggests that one small corner of the world dominated the rest, for a time, and the local system of measurement used in that one small corner became the de facto standard for the whole world, even after they decolonised. A clean, highly optimised system, like 36:36:36, would suggest that there were a number of regions which each had their own local systems of measurement, and they each had roughly equal power and influence. In order to facilitate trade, they needed a unified system, but no one region had the power to enforce its system on everyone else, instead they built a system from the ground up built from mathematics rather than historical precedent, to avoid privileging any one region over the others. A world’s systems of measurement might also say something about ideology: A system of government which formed suddenly, filled with revolutionary zeal, might be more likely to wipe the slate clean and standardise everything in a mathematically optimal way. A system of government which formed slowly over many centuries, guided more by subtle large scale societal pressures, is more likely to implement a messy system like ours: one which just sort of ‘happened’, instead of being deliberately designed. Not all revolutionary governments will implement a mathematically optimised system, though. A highly religious government might choose a system of measurement based off of sacred numbers or dates in their cosmology, regardless of what mathematical sense they make. A revolutionary government trying to bring back the “good old days” of some past empire might adopt that empire’s systems, even if they’re not very sensible. The systems of measurement a world uses could say a lot about the history, politics and psychology of its inhabitants. …Perhaps, then, it’s not a great idea for us to broadcast even seemingly mundane information out into the cosmos? Even just the units we use could tell potential conquerors a lot more information about us than we might want to? That’s an interesting idea for science fiction authors to consider.
this is my go to channel for modular arithmatic, as a programer that concept is very useful. it seems like i cant go one day without seeing a statement like "if x modulo 4 is >= 2".
one fun positive to using base 6 for clocks is that, in the same way as base 16 is used to compress binary to make it more human-readable, two base 6 numbers can be written with one base 36 digit, and by complete chance happen to have on hand a perfect set of 26 characters to extend the 10 arabic numerals with to reach 36 that everyone already knows the order of - 0 to 9 then A to Z. Once you get an intuition that I/i is the halfway point, all the other ratios fall into place and reading that the time is 4VJ just kinda makes sense.
I like to break things into 101 parts. You can roughly estimate a percentage, but you have to decide what is slightly more important when dividing things between buckets / boxes / people. It's a great way to make bids in a lottery, raffle, or voting system, when you don't want to get a lot of 50%, 33%, 25% by the contestants.
cool, love this ideas! I would also appreciate putting the zero where 3 usually is, and have the clock run "counterclockwise" to match with complex numbers. And maybe we could rename that to clockwork numbers or something (also clockwork constant, both complex and imaginary are bad names)
When I have the funds, I'm going to design a clock with a face that incorporates all of these ideas. I'll call it "Domotro's Clock" in honor of our chaotic mathematics professor.
some great ideas! but i think hexadecimal time triumphs though compactness (and i think divisibility doesn't matter much 😇). in hex time, just need four digits to get the rough equivalent of seconds (as with your system, they are slightly longer). but 2 digits suffice for making appointments, having 5.625 minutes of precision, and one digit still gives you a decent time of day (1.5 hours precision). i suggest writing them with a leading decimal point, so .0000 is midnight, .8 is noon, .4 is 6:00, .C is 18:00. this also gives you a hexadecimal calendar for free, in the digits in front of the decimal point. they just count up the days of the year as the digits flow over the decimal point. admittedly, 365 doesn't fit very nicely into hexadecimal digits, so you'll have a couple of months with 3 digits and the rest is only two. but it's still vastly better than the current train wreck of a calendar. though instead of making .0 the local midnight, we might choose one global reference time. the main downside of this is that the date changes some time throughout the solar day, which might need the most getting used to. but it's not like "i live at a place where the sun rises and falls at certain times" is super confusing, and it completely eliminates all the confusion caused by time zones.
In german, we actually often refer to the minute-hand by what fraction of the hour it fills. Instead of 08:45, we say "Dreiviertelneun", which means "Three Quarters of 9", and i think that's beautiful.
The German system is quite different to the English. Dreivertelneun means "die neunte Stunden ist dreiviertel abgelaufen" - the ninth hour is 3/4 gone. It assumes that the hour after midnight is the first hour. "Viertelneun" is a quarter past 8. I.e. the ninth hour is 1/4 gone. That's most confusing with "halbneuen" - the ninth hour is half gone - which is half past eight in English. See the issue mentioned with the busdriver.
Please do Calendars next! You could discuss interesting international calendars, such as the Bali Pawukon which has multiple lengths of week, the Mayan Calendar which has two different types of year, or the Tamil calendar with 6 seasons You could discuss Gregorian-style proposals to make calendars more consistent, like the World Calendar, International Fixed Calendar, or French Republican Calendar Then there are weirder ideas, like the 8-day week calendars with no months at all, Symmetry454/010, or TheAbysmal Calendar Then there are calendars that don't really fit anywhere, like the Discordian Calendar and Utopian (Mars) Calendar
I did an episode about calendars on this channel before, although it was mostly about a 13-month system and I didn’t go into all of those concepts (there will probably be another calendar episode someday!)
here in brazil we actually use the negative numbers on the minutes, like 2:45 we will say "quinze para as trêz", which means "fifthteen up to three", because it will that 15 minutes to get to 3 o' clock.
When at my job, I tried to clock out around 12:30 I kept trying to make it 00:30 to no avail. At the time I thought that the company had a glitch in their system, I never would have imagined that it was America that was glitched.
I remember having this argument about a decade ago. It took me a week to figure out being right wasn't worth being ostracized. I'm grateful for the Internet.
The metric system also had decimal time, but this never gained traction unlike the rest of the metric system. This is because the main point of the metric system was to standardize units across all fields - e.g. meters replaced like 20 different kinds of miles, grams replaced various measures of weight, etc. But time was *already* standard across all fields, so there was no benefit to "standardize" it to a new standard.
2:45 it is not technically incorrect the IV thing is actually quite modern. The romans actually did use the IIII for 4. It was actually more convenient for mathematics.
in germany we don't have a 0 on a clock but after 23:59 comes 00:00 (midnight). Btw do you think we should do the same for days and months? So instead of december being the 12th it being the 11th, january being the 0th and every other month is also 1 number lower? I mean it would make sense to me to some degree
In the beginning I was like eh I guess numerals bad, sure, and you're totally right about hours being inconsistent, but I really like the base 6 idea with all three up to 36. As a programmer dealing with times already sucks enough, so even if 99% of people wanted it to change, please god don't change anything lol.
I'd like see you brainstorm through some alternative metric systems, that compromises between functional measurements sizes and natural units. The natural unit systems make equations simpler by forcing conversion constants to 1. Often most units get too big to be feasible. An example are the gaussian units, in which charges are adjusted so that constant "k" is 1, when calculating the force between two charges. It occured to me that the ideal gas law, "P.V = n.R.T", has a constant "R", that is pretty close to 1, at least in the metric system. This makes me think that there might be some reasonable compromise that would improve our system, without running into unfeasible units. At least some constants could be a neat power of 10 (or of the chosen counting base). Or at least constants could be chosen to maximize "symmetry" between "analagous" equations (for example gravitation and electric charge attraction could have similar constants). What could be some strong candidates to the "ideal" alternative metric system?
2:53 The reason why IIII is used on clocks is unknown, but I'd say one of the more likely theories is having better symmetry with VIII (it could also make a difference when trying to hang older clocks, as they generally had heavy metal bars affixed to the plates).
What do you think about having a senary/seximal clock instead of a decimal or quadravigesimal clocks? Morning, Afternoon, Evening, and Night are all reasonable splits :)
In my date system, the first digit goes from 3 to 5 and the following digits go from 1 to 4. If you traced the first digit back to the beginning at the same magnitude, it would go to 0. It’s the reverse of the normal time system where the first digit goes from 1 and the following digits go from zero. For time, I name the hours based on what I do in a normal schedule. Then time within the hour in terms of songs. 1 minute is song/2. 5 minutes is song*2. 10 minutes is song*4. 15 minutes is hour/4. 30 minutes is hour/2. 6:41 for example is breakfast hour/2 song*4 song/2. Of course this is written in a much more compact iconographic system. The multiples of 2 are represented by that system’s 0 in front or behind the symbol. It’s pronounced olil le koglao olgkoko ko-olg.
One thing that always bothered me in how the 12 hours system works in america is the use of am and pm, specifically with 12, the idea is that Xam can be translated directly to the 24 hours system, Xam = X, but Xpm not really, it's Xpm=X+12, so pm is a stand in for "add 12 hours", or at least it often is, cause 12am and 12pm don't work this way, they are the only exceptions, it's really clunky to have the time go from 11am to 12pm to 1pm
Yeah, 12am and 12pm is something I've never been able to intuitively understand. They feel reversed to me, and I have to sit and think about it to know what time that actually is.
I strong agree on starting at 0 for hours. Seems ridiculous we don't actually. 36:36:36 with 6^4 minutes and 6^6 seconds per day seems good too. 18 hours for the 1/2 day 12 for the 1/3 9 for the 1/4 6 for the 1/6 4 for 1/9 3 for 1/12 Trade out divisibility by 8 for 9 and 18.. fair. The best part IMO.. the last second of the day would be 55:55:55 if we used Base 6 to count the clock digits. I love that. Let's do it. Also, if Midnight came to stand for 00:00:00 I recommend we change it's name to *Moodnaught*.
Having 1-12 instead of 0-11 is perfectly reasonable, it’s just bijective numeration. Just because we don’t use it as often it doesn’t mean it’s any less valid than non-bijective numeration. We do use it in spreadsheets, where columns are traditionally numbered in bijective biker’s dozenal (26 in decimal, or two baker’s dozens). We start at A, which represents 1, and when we get to Z (26), we then go to AA (1:01). Note that in standard biker’s dozenal, we’d start at A (0), and after Z (25), we’d have BA (1:00), which is much less intuitive. What is absurd about how we use it is how we use AM and PM. It doesn’t make sense that after 11:59 AM it’s 12:00 PM, or the other way around. Just using AM in general makes absolutely no sense except for 6 AM, since it means “before midday”, but we actually use it as “after midnight”. “1 AM” should be what we call 11:00, not 01:00. But even ignoring what AM and PM mean at all, it makes no sense that after 11:59 PM, we switch to AM, but don’t reset the counter. Yes, 00:00 AM would be reasonable, but so would 12:00 PM in bijective dozenal, it’s the half-reset-half-continue thing that sucks.
Here in France we use both models. Usually the 24-hour model for writing and the 12-hour model is only used for verbal communication (in addition to the 24-hour model). So when talking there is never "twelve"-something, it's either "noon"-something or "midnight"-something. Seeing a US time like "12:34 PM" would confusing here and I bet most people would get it wrong.
If I had to guess...I bet 12 hour time was originally thought of as 0:00:00-11:59:59 and clocks were intended to move from 0-12, but only writing the single number at the top because superposition is hard and 12s are cool. I'd further posit that it was clocks themselves that then caused people to start saying dumb things like "12:27" which led to our modern notation. But I'm sleepy, and not an ancient Chaldean, so I don't know.
I see that you like clocks a lot Domotro, but you should get some mirrors (preferably broken to go with the clocks) so we can see the cameraman from time to time
One quirk of the current system is that it's pretty normal to see midnight written on a digital clock as 0:00 AM, but seeing noon written as 0:00 PM feels very wrong (and I have only ever seen one clock that does this)
I feel like if someone is ever coming in literally 1 second, they wouldn’t say “I’ll be there in 1 second” which takes longer than 1 second to say haha.
You have to not think of the “digits” on a clock as representation in base 10. That is hard to do because we translate all bases into our base 10 understanding. For example, if we thought in base 2, “2” would not exist. For clocks, minutes and seconds, are made of 60 unique symbols (digits). We show them in base 10, but we could use any symbols. We could use aa, ab, ac for the first 3. Or we could use ( ) $ for the first three digits. For hours, the symbols are 12, 1, 2, 3, etc. So there is no problem with not having 0, just like in normal base 10 there is no problem not having V (from Roman Numerals) because is it not a “digit” in our system. It is interesting to replace familiar digits with something else other than base ten digits. For hexadecimal we use A, B, …, F as extra digits. Base 2 is equivalently represented by T and F F + F = F F + T = T T + F = T T + T = TF
You could also interpret the 12h clocks to start with the asymptote to 0 and ending with exactly 12 before reseting. Which feels almost as reasonable as starting with 0.
Some languages use "negatives" to express minutes. Think of people saying "a quarter to two" which is two o'clock minus 15 minutes. Spanish literally uses the word minus (menos) to express times after 30 minutes.
I've read that they used 'IIII' rather than 'IV' so as to have 20 I's, 4 V's, and 4 X's on a clock face. This meant that you'd only need to make a mold with 5 I's, 1 V, and 1 X, and use it four times to get all the numerals you'd need, rather than make 17 I's, 5 V's, and 4 X's.
Now need an Arduino project to run a clock back and forth, will run 0-11 outside and 12-23 inside. Might be able to just flip the polarity but i guess i will have something go funny and drift a second a day due to midday but thats maybe not the case
You can also, instead, make multi-looped Ds and Ms to continue the sequence of new symbols. ⅠↃ or Ⅾ or D =500. ⅭⅠↃ or Ⅿ or M =1000. ⅠↃↃ or ↁ =5000. ⅭⅭⅠↃↃ or ↂ =10000. ⅠↃↃↃ or ↇ =5000. ⅭⅭⅭⅠↃↃↃ or ↈ =100000. etc. So maybe a googol could be written as ⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅠↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃ
Fun fact, the original Roman Numeral System didn't have the subtraction rule (at least not in any standardized and broadly accepted way). That was a medieval invention.
While the base six one is the most out there, I think it's WAYYYYYYYY more sensible than the 24 hour analog clock. One good thing about the 12 hour clock is that the minutes and seconds are also divisible by 12, but they are not divisible by 24, which would destroy the minutes layout. And while the fractions have their benefits, I think that the mental computation of adding different fractions is absolutely not worth it and that might be a problem for the positive/negative too, although for that one I'm not quite sure. I agree with the start from 0. It's an easy change that barely anyone would care much about.
You know what's actually hillarious? The 60 seconds per minute, 60 minutes per hour, and 24 hours per day are all unnecessarily complicated. With a heart rate of exactly 70 bpm throughout the day, your heart would beat 100,800 times. If we assume your heart rate is just a little below that rate, that would make about 100,000 heart beats in the day. Now, that makes an intuitive and easy way to both split up the day into a small unit, and count that unit. Let's say a becond is the approximate time it takes an average human heart to beat (while somewhat relaxed and also awake). Now, we can say there are 100 beconds in a cinute, 100 cinutes in a haur, and 10 haurs in a day. 1 becond = 0.864 seconds 1 cinute = 1.44 minutes 1 haur = 2.4 hours 1 second = 1.0373444 beconds 1 minute = 0.69444 cinutes 1 hour = 0.41667 haurs 1 day = 100,000 beconds 1 day = 1,000 cinutes 1 day = 86,400 seconds 1 day = 1,440 minutes This system is pretty good and pretty easy to learn. These conversions are pretty easy to do, and switching to the becond + cinute + haur system has lots of benefits.
9:50 that is just an issue in US. The world keeps counting in double digits until 24 :00 = 0 :00 10:50 at the risk of being inconsistent: 12 is written bc it is mostly used in the middle of the day which is 12. 0 :00 would only be useful if most people were awake at 0 :00 than at 12 :00. also for shorthand you can and will say 1 :00 for 13 :00 aso. Also, a single 0 is a bit confusing. In everyday situation a 0 is not needed. You will either mistake it for an O or look for a digit it goes with (like 1 0)
I also came to the conclusion that 12 o'clock is really 0 o'clock one day while writing code to convert between hh:mm:ss and a number of seconds. The easiest way was to first replace 12 by 0 and then treat it as a base conversion.
Maybe the last one is not the hardest to digest, but the easiest one. Since there have been some pushes made towards it. For example currently there's the Industrieminute and the Industriesekunde existing and being used: de.wikipedia.org/wiki/Industrieminute One hour is 100 Industrieminuten and 1 minute is NOT 1 Industriesekunde, because 1 Industrieminute is not 1 Minute and1 Industrieminute is actually 100 Industriesekunden. The wiki article also explains the advantage of the Industriezeit: If someone worked exactly 8 and a half hours, then he also worked exactly 85000 Industriesekunden - easy. Now tell my how many normal seconds he worked. Of course that's only part way to equalization. There's also been pushed made to full equalization: en.wikipedia.org/wiki/Decimal_time Many pushes, but none as long-term succesful and established as the Industriesekunde.
Thats why money in england used to divide into 240 instead of 100. I say make it 420, still divisible in most of the same ways and some others. Namely by 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210 and 420 - 100 doesnt even divide by 3 and consequently neither by 6.
one problem with using 36:36:36 would be that it would be harder to count seconds. when trying to count seconds, i have to keep a rhythm of 60 bpm, which isn't to hard, but with these longer seconds, i'd have to keep a rhythm of 32.4 bpm, which is so slow it doesn't really feel like a rhythm, and would be much harder to follow
I have ADHD if I try to tap once a second I end up somewhere between 90 bpm to 150 bpm, usually around 120 bpm, which means what I think is a second is actually half a second. I kan keep a very steady rythm at that speed, but much slower than 90 bpm I tend to drift a lot because then I no longer can hold a steady rythm I have to sort of think about how long a second is between beats. 60 bpm is actually rather slow and hard to keep as a steady (at least with ADHD), but if you need to estimate seconds without a clock you could just count half-seconds and halve the number to get seconds, or if the seconds were almost twice as long you could just count quarter seconds and just quarter the result to get the new long seconds. (Or in your case if you are comfortable keeping a slow 60 bpm rythm, you could just count old seconds and halve the result to get new seconds)
Agreed that roman numerals suck. It's hard to read. It looks the same and you're left counting I's, which defeats the point of a number system. You might as well have tally marks. The number of symbols does not reflect the size of the number. Zero would be nice and convenient. It might help me remember whether midnight or noon are am or pm. The negatives would be horrible. You'd have to change how you think about measuring time throughout the day. It'd take more brain power to add and subtract times. The fractions would be horrible. We make smaller units of a larger unit for a reason. It would be more inconvenient to have to add 1/4 to 1/3, instead of them just having a common invisible denominator that I don't have to worry about. It's better to just add 3 to 4. I've thought before about what if we had 6 day weeks, and 10 hour days so we could have 60s all the way down. approximately 360 days or 60 weeks in a year. 60 hours in a week. 60 minutes in an hour. 60 seconds in a minutes.
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This is another longer, experimental episode with multiple parts (which are marked in the video timestamps). Hope you enjoy! Leave a comment letting me know your favorite (or least favorite) idea from it, or any of your own ideas!
What about swatch (BMT - Biehl Mean Time) time? That was a "standard" proposed years ago, dividing the day into 1000 ticks from 000 to 999 where 000 would be fixed at 0:00 CET (UTC+1) with never counting switching regarding to DST or time zone you are in...
I've been complaining to my family about 0 o clock for a year now, so it's good to have a video explaining its neatness
In the previous millennium i had a gas cooker that just for a minute after midnight (its local midnight) was showing an hour 24:00 - it was very fun - nobody noticed that bug because nobody stayed in the kitchen past midnight and i didnt call it a bug i called it a feature. The fraction idea is very nice - children in kindergarten (those which manage to learn the clock) could already learn the fractions... rational numbers... and pi :) - 12 hours = pi, 6 hours = PI/2 , 15 minutes or 3 hours = PI/4
Great thoughts! Loved the episode. I think 0 o'clock should be sunrise.
Another idea would be a 8191 10 seconds binary counter - switching few of its 13 bits every 10 seconds - so that it would add up to 22:45 and between 22:45 and 24:00 it would not work leaving you some spare time to fall asleep :) @@matthewireland5195 - instead of a day having 25 hours which would make people work longer this idea would allow a shorter day so you would work and "consciouing" shorter leaving you some time in a physical day for your own :) at 10...0 it would be binary noon and the bits would fill up to the full day with 0, 1111, 0111, 1111 you would just add up single hole and knew its 10s * 2^7 seconds till your digital noon so roughly 20 minutes. The issue with standarization requirement between diff people would need to prevail. { (half day bit), (6 hours bit) (3 hours bit) (movie bit) (school hour bit), (20 min) (10 min bit) (5 minutes) (sth around 2 minutes), and the least 4 bits are super fast ( ovver 1 minute bit) ( half minute) ( 20 seconds) (10 seconds)}
This man is ahead of his time.
Literally
wait a minute... was that a pun?
@@me0101001000Could be a pun.
You should sit down, sir.😢
aaaaaaaaaaaaaaahhhhhh i get it
I LOVE this. I remember being a 12 year old, and having some of these ideas in my brain, and arguing with a teacher that clocks don't make sense, and that 12:00 can't actually exist, it's supposed to be 0:00. I got detention because I got frustrated being a child an being unable to express my thoughts.
I heard that IIII as 4 was actually for the practical reason that it meant you could have a mould with the characters IIIIIVX, cast it four times, and exactly have all the characters you need for a full clock. With a side order of Louis XIIII vanity.
yeah, it has nothing to do with not confusing it for 6. Plus, you can clearly tell when it is upside down, as the X lines are not symmetrically the same size; one is thin and the other thick. And the V is literally upside down, so how the hell would IV upside down ever be confused for VI?
I prefer the Roman numeral clock design
There are a couple more reasons: 1) IV wasn't uniformly used early on; it was often written as IIII in everyday use, with IX being the first number consistently written using the 'one-before-whatever' notation. 2) In styles where the letters I and V are roughly the same width, using IIII makes the clock face more balanced visually.
Something about the comfortable loosening into a bit more unhinged than usual is really enjoyable. Like a gently warmed combustible. Nice touch every now and again
Combo class is here to continue my math education after I switched to chem, thanks for continuing to make math fun :)
You're very welcome, glad you've been enjoying/learning!
It's the lack of jump cuts and the unflappable, continuous exposition. 💕 Love it!
The idea of time going negative past 12 is interesting to me, the absolute value of the time would align with the sun (going up when the sun goes down and down when the sun goes down), it would also be fun to look at a clock as it reverses direction
Agreed. We still wouldn't be able to tell the period from a picture of a clock. But at least this way we could tell it if we can see the direction it's moving
One problem I see with the reversing clock idea is that it would make times near noon and midnight more ambiguous if you can't see the motion. Right now as long as you know *roughly* what time of day it is, within + or - 6 hours, you can look at a clock and know the time for sure. But with the clock that runs backward half the time, what if you happen to know that it's *around* midnight, and you look at the clock and see it's at the 11:00 position? With a clock that only runs forward, you would know it's definitely 1 hour before midnight, *not* 11 hours after. But with the clock that runs backward, it could plausibly be either 11:00 or -11:00.
Just add an indicator in the space above the pendulum number line. That reads either + or -. Or the second hand can reverse direction every twelve hours.
All the clocks in the previous episodes were merely foreshadowing for this one
Love how gooby this episode is
Ramblings of a madman and im here for it
Always loved the clocks on the set. I'm glad we're finally getting into it about clocks!
You're the math teacher I've always wanted to have in 6th grade.
J. Johnston Halcro recommended a very similar system to your part -1 in his 1937 book “The reverse notation; introducing negative digits with twelve as base”. I find the decimal version very useful when doing arithmetic.
I’ll have to read that sometime :)
i just realized that the parts aren't in the 1 2 3 order xD
Can you do a video explaining how time should be kept on other planets that have different rotational/orbital periods than Earth? (or timekeeping in space in general)(and how these times can be reconciled with Earth time)
Love this
Lasers.
This is one of my favorite TH-cam videos ever. Adore the silliness paired with genuine insights.
The number range chart you showed displaying how strange it is for our 12 hour clocks to start at 1 but end at 12:59:59; yet really are shown to be bound by 0-12 was an insight I was not ready for on a Saturday.
Amazing work!
Thanks, I appreciate it!
Love to see that I'm not the only person to be obsessed with clocks. The French once tried to introduce a 10-based hour system, with little success. And the Roman numeral IIII on the clock face is a purely esthetic design so that you have symmetrically 4 numbers of I, 4 numbers with a V and 4 numbers with an X. Further we could appreciate how threeven our current time system is!
The human element to your videos makes self-study a joy💜
"Yo dude, meet me at Wendy's tomorrow for lunch."
"What time?"
"-11 and 7/12 o'clock."
"Naw dawg, I'm on that new 36 time."
"Oh, in that case 20:13:18. But are you on negative count-down evenings?"
"You know it, man."
"Then I'll see you at -16:+13:+/-18."
"Sweet, I'll be there."
How is this channel so criminally underrated
In german the minutes are expressed as fractions. To 9.30 is called "halb zehn": halve ten. And in some parts of Germany this is extended to the quarters as well. 9.15 is quarter 10 and 9.45 is three quarters ten
In some other parts 9:15 is "quarter past 9" (9:45 is the same as you said)
Not everywhere. Way back when I was in school, we had a choir meet in Passau, together with a local school choir, another Czech one, and one from Austria. On the second day morning, the Austrian choirmaster was responsible for arranging a bus to take us from our lodgings to the school for the big group practice, and he got the bus to come pick us up at "half ten", which to him meant 9:30. Unfortunately, for the bus driver, the same phrase meant "half *past* ten", or 10:30.
@ And then there are those who got there at 5 - which is half ten. :D
When I was growing up, 9:15 was quarter past 9, 9:30 was half past 9, and 9:45 was quarter 'til 10 (rather than three quarters past 9)
Also 23:59:60 does happen with leap seconds, they're just infrequent enough that we accept our clocks won't handle it and be a second off once every so often(at most twice a year, but based on current trends about once every 12 or so years).
Computer systems know software often can't handle 61 seconds in a minute and will either repeat 23:59:59 or continue ignoring it, then the next time network time is pulled be automatically corrected.
Or what google does, smearing the leap second across a 20 hour period, 10 hours before and 10 after, so the instant the leap second is introduced google servers are off by half a second.
@@DiThiIIRC, the term is clock slewing, which is confusing because that also refers to time signals becoming desnychronized due to different signal delays.
Time synchronization is a surprisingly difficult problem. I worked on a system which has to wirelessly sync some audio recorders to within a few milliseconds. The solution ended up being dedicated microcontrollers which detected a radio pulse and directly injected it (bit banging) into the audio stream on another channel.
Great video. Quick note on IIII as 4 in Roman numerals; so that’s actually a perfectly valid way to represent 4, it’s called additive counting and it was in fact the more common system until about the eleventh century when subtractive counting (i.e. IV for 4) displaced it. The issue with clocks is that they also use IX for 9, rather then VIIII, and while both of those are fine in isolation they’re garbage together, the system has to stay consistent to be even remotely functional.
Sadly 49 has never been written as IL though, no matter how funny that would be.
Romans used only additive numerals ...
IC for 99 is wrong also :(
This kind of thing could be useful for worldbuilders (authors, DMs, etc) to keep in mind.
The systems of measurement a world uses might say something about its history.
An idiosyncratic, messy system like ours suggests that one small corner of the world dominated the rest, for a time, and the local system of measurement used in that one small corner became the de facto standard for the whole world, even after they decolonised.
A clean, highly optimised system, like 36:36:36, would suggest that there were a number of regions which each had their own local systems of measurement, and they each had roughly equal power and influence. In order to facilitate trade, they needed a unified system, but no one region had the power to enforce its system on everyone else, instead they built a system from the ground up built from mathematics rather than historical precedent, to avoid privileging any one region over the others.
A world’s systems of measurement might also say something about ideology: A system of government which formed suddenly, filled with revolutionary zeal, might be more likely to wipe the slate clean and standardise everything in a mathematically optimal way. A system of government which formed slowly over many centuries, guided more by subtle large scale societal pressures, is more likely to implement a messy system like ours: one which just sort of ‘happened’, instead of being deliberately designed. Not all revolutionary governments will implement a mathematically optimised system, though. A highly religious government might choose a system of measurement based off of sacred numbers or dates in their cosmology, regardless of what mathematical sense they make. A revolutionary government trying to bring back the “good old days” of some past empire might adopt that empire’s systems, even if they’re not very sensible.
The systems of measurement a world uses could say a lot about the history, politics and psychology of its inhabitants. …Perhaps, then, it’s not a great idea for us to broadcast even seemingly mundane information out into the cosmos? Even just the units we use could tell potential conquerors a lot more information about us than we might want to? That’s an interesting idea for science fiction authors to consider.
this is my go to channel for modular arithmatic, as a programer that concept is very useful.
it seems like i cant go one day without seeing a statement like "if x modulo 4 is >= 2".
What's the use case for %4 in this sense?
@@celestialowl8865 decoding an n-bit int into n boolean variables, with the %4 being the one in the second bit
one fun positive to using base 6 for clocks is that, in the same way as base 16 is used to compress binary to make it more human-readable, two base 6 numbers can be written with one base 36 digit, and by complete chance happen to have on hand a perfect set of 26 characters to extend the 10 arabic numerals with to reach 36 that everyone already knows the order of - 0 to 9 then A to Z.
Once you get an intuition that I/i is the halfway point, all the other ratios fall into place and reading that the time is 4VJ just kinda makes sense.
I like to break things into 101 parts. You can roughly estimate a percentage, but you have to decide what is slightly more important when dividing things between buckets / boxes / people. It's a great way to make bids in a lottery, raffle, or voting system, when you don't want to get a lot of 50%, 33%, 25% by the contestants.
cool, love this ideas! I would also appreciate putting the zero where 3 usually is, and have the clock run "counterclockwise" to match with complex numbers. And maybe we could rename that to clockwork numbers or something (also clockwork constant, both complex and imaginary are bad names)
this man has given me an interest in mathematics I never knew I had. I love this chaos
When I have the funds, I'm going to design a clock with a face that incorporates all of these ideas. I'll call it "Domotro's Clock" in honor of our chaotic mathematics professor.
some great ideas! but i think hexadecimal time triumphs though compactness (and i think divisibility doesn't matter much 😇). in hex time, just need four digits to get the rough equivalent of seconds (as with your system, they are slightly longer). but 2 digits suffice for making appointments, having 5.625 minutes of precision, and one digit still gives you a decent time of day (1.5 hours precision).
i suggest writing them with a leading decimal point, so .0000 is midnight, .8 is noon, .4 is 6:00, .C is 18:00. this also gives you a hexadecimal calendar for free, in the digits in front of the decimal point. they just count up the days of the year as the digits flow over the decimal point. admittedly, 365 doesn't fit very nicely into hexadecimal digits, so you'll have a couple of months with 3 digits and the rest is only two. but it's still vastly better than the current train wreck of a calendar.
though instead of making .0 the local midnight, we might choose one global reference time. the main downside of this is that the date changes some time throughout the solar day, which might need the most getting used to. but it's not like "i live at a place where the sun rises and falls at certain times" is super confusing, and it completely eliminates all the confusion caused by time zones.
In german, we actually often refer to the minute-hand by what fraction of the hour it fills. Instead of 08:45, we say "Dreiviertelneun", which means "Three Quarters of 9", and i think that's beautiful.
americans do this too, but less often. 8:45 would be quarter to nine, 9:15 would be quarter past nine
The German system is quite different to the English. Dreivertelneun means "die neunte Stunden ist dreiviertel abgelaufen" - the ninth hour is 3/4 gone. It assumes that the hour after midnight is the first hour. "Viertelneun" is a quarter past 8. I.e. the ninth hour is 1/4 gone. That's most confusing with "halbneuen" - the ninth hour is half gone - which is half past eight in English. See the issue mentioned with the busdriver.
Great video with great points, and I love your energy lol, super underrated
Please do Calendars next!
You could discuss interesting international calendars, such as the Bali Pawukon which has multiple lengths of week, the Mayan Calendar which has two different types of year, or the Tamil calendar with 6 seasons
You could discuss Gregorian-style proposals to make calendars more consistent, like the World Calendar, International Fixed Calendar, or French Republican Calendar
Then there are weirder ideas, like the 8-day week calendars with no months at all, Symmetry454/010, or TheAbysmal Calendar
Then there are calendars that don't really fit anywhere, like the Discordian Calendar and Utopian (Mars) Calendar
I did an episode about calendars on this channel before, although it was mostly about a 13-month system and I didn’t go into all of those concepts (there will probably be another calendar episode someday!)
here in brazil we actually use the negative numbers on the minutes, like 2:45 we will say "quinze para as trêz", which means "fifthteen up to three", because it will that 15 minutes to get to 3 o' clock.
In English we call that "a quarter 'til".
I've always thought this, 12am realllly confused me as a child lol
When at my job, I tried to clock out around 12:30 I kept trying to make it 00:30 to no avail. At the time I thought that the company had a glitch in their system, I never would have imagined that it was America that was glitched.
This is definitely one of the moments of all time.
I remember having this argument about a decade ago. It took me a week to figure out being right wasn't worth being ostracized.
I'm grateful for the Internet.
20:15 what a cool light effect
The metric system also had decimal time, but this never gained traction unlike the rest of the metric system. This is because the main point of the metric system was to standardize units across all fields - e.g. meters replaced like 20 different kinds of miles, grams replaced various measures of weight, etc. But time was *already* standard across all fields, so there was no benefit to "standardize" it to a new standard.
2:45 it is not technically incorrect the IV thing is actually quite modern. The romans actually did use the IIII for 4. It was actually more convenient for mathematics.
These are some interesting ideas! I think the 12->0 idea could really catch on!
20:41 there is not enough room on the watch.
Al Murray.
in germany we don't have a 0 on a clock but after 23:59 comes 00:00 (midnight). Btw do you think we should do the same for days and months? So instead of december being the 12th it being the 11th, january being the 0th and every other month is also 1 number lower? I mean it would make sense to me to some degree
Yes, but ideally a month should be exactly 4 weeks (+some change) we could add zeroeth month and so we have 13 monts in total.
@@SteinGauslaaStrindhaug sounds good
In the beginning I was like eh I guess numerals bad, sure, and you're totally right about hours being inconsistent, but I really like the base 6 idea with all three up to 36. As a programmer dealing with times already sucks enough, so even if 99% of people wanted it to change, please god don't change anything lol.
I'd like see you brainstorm through some alternative metric systems, that compromises between functional measurements sizes and natural units.
The natural unit systems make equations simpler by forcing conversion constants to 1.
Often most units get too big to be feasible.
An example are the gaussian units, in which charges are adjusted so that constant "k" is 1, when calculating the force between two charges.
It occured to me that the ideal gas law, "P.V = n.R.T", has a constant "R", that is pretty close to 1, at least in the metric system.
This makes me think that there might be some reasonable compromise that would improve our system, without running into unfeasible units.
At least some constants could be a neat power of 10 (or of the chosen counting base).
Or at least constants could be chosen to maximize "symmetry" between "analagous" equations (for example gravitation and electric charge attraction could have similar constants).
What could be some strong candidates to the "ideal" alternative metric system?
2:53 The reason why IIII is used on clocks is unknown, but I'd say one of the more likely theories is having better symmetry with VIII (it could also make a difference when trying to hang older clocks, as they generally had heavy metal bars affixed to the plates).
What do you think about having a senary/seximal clock instead of a decimal or quadravigesimal clocks? Morning, Afternoon, Evening, and Night are all reasonable splits :)
That is covered in the part of this episode called “equalization” (see timestamps)
In my date system, the first digit goes from 3 to 5 and the following digits go from 1 to 4. If you traced the first digit back to the beginning at the same magnitude, it would go to 0. It’s the reverse of the normal time system where the first digit goes from 1 and the following digits go from zero. For time, I name the hours based on what I do in a normal schedule. Then time within the hour in terms of songs. 1 minute is song/2. 5 minutes is song*2. 10 minutes is song*4. 15 minutes is hour/4. 30 minutes is hour/2. 6:41 for example is breakfast hour/2 song*4 song/2. Of course this is written in a much more compact iconographic system. The multiples of 2 are represented by that system’s 0 in front or behind the symbol. It’s pronounced olil le koglao olgkoko ko-olg.
One thing that always bothered me in how the 12 hours system works in america is the use of am and pm, specifically with 12, the idea is that Xam can be translated directly to the 24 hours system, Xam = X, but Xpm not really, it's Xpm=X+12, so pm is a stand in for "add 12 hours", or at least it often is, cause 12am and 12pm don't work this way, they are the only exceptions, it's really clunky to have the time go from 11am to 12pm to 1pm
Yeah, 12am and 12pm is something I've never been able to intuitively understand. They feel reversed to me, and I have to sit and think about it to know what time that actually is.
I strong agree on starting at 0 for hours. Seems ridiculous we don't actually.
36:36:36 with 6^4 minutes and 6^6 seconds per day seems good too.
18 hours for the 1/2 day
12 for the 1/3
9 for the 1/4
6 for the 1/6
4 for 1/9
3 for 1/12
Trade out divisibility by 8 for 9 and 18.. fair.
The best part IMO.. the last second of the day would be 55:55:55 if we used Base 6 to count the clock digits. I love that. Let's do it.
Also, if Midnight came to stand for 00:00:00 I recommend we change it's name to *Moodnaught*.
Creativity in the wild Love it!
Hexadecimal time is an interesting alternative.
Absolute glorious chaos 😂😂😂
Having 1-12 instead of 0-11 is perfectly reasonable, it’s just bijective numeration. Just because we don’t use it as often it doesn’t mean it’s any less valid than non-bijective numeration. We do use it in spreadsheets, where columns are traditionally numbered in bijective biker’s dozenal (26 in decimal, or two baker’s dozens). We start at A, which represents 1, and when we get to Z (26), we then go to AA (1:01). Note that in standard biker’s dozenal, we’d start at A (0), and after Z (25), we’d have BA (1:00), which is much less intuitive.
What is absurd about how we use it is how we use AM and PM. It doesn’t make sense that after 11:59 AM it’s 12:00 PM, or the other way around. Just using AM in general makes absolutely no sense except for 6 AM, since it means “before midday”, but we actually use it as “after midnight”. “1 AM” should be what we call 11:00, not 01:00. But even ignoring what AM and PM mean at all, it makes no sense that after 11:59 PM, we switch to AM, but don’t reset the counter. Yes, 00:00 AM would be reasonable, but so would 12:00 PM in bijective dozenal, it’s the half-reset-half-continue thing that sucks.
Here in France we use both models. Usually the 24-hour model for writing and the 12-hour model is only used for verbal communication (in addition to the 24-hour model).
So when talking there is never "twelve"-something, it's either "noon"-something or "midnight"-something.
Seeing a US time like "12:34 PM" would confusing here and I bet most people would get it wrong.
If I had to guess...I bet 12 hour time was originally thought of as 0:00:00-11:59:59 and clocks were intended to move from 0-12, but only writing the single number at the top because superposition is hard and 12s are cool. I'd further posit that it was clocks themselves that then caused people to start saying dumb things like "12:27" which led to our modern notation. But I'm sleepy, and not an ancient Chaldean, so I don't know.
I see that you like clocks a lot Domotro, but you should get some mirrors (preferably broken to go with the clocks) so we can see the cameraman from time to time
I have wanted to make this video title, so I'm excited to see what solutions you've come up with!
One quirk of the current system is that it's pretty normal to see midnight written on a digital clock as 0:00 AM, but seeing noon written as 0:00 PM feels very wrong (and I have only ever seen one clock that does this)
Never realized that roman numerals are to blame for 12-hour clocks not having a zero on top, but that makes perfect sense.
Bro internally shit his pants at nailing that squirrel transition
3:28 the roman numeral for 0 in N.
Well actually it is short for nulla.
22:19 "When you say you're coming in one second it's always an exaggeration"
In some situations, it's the truth. 😞
I feel like if someone is ever coming in literally 1 second, they wouldn’t say “I’ll be there in 1 second” which takes longer than 1 second to say haha.
You have to not think of the “digits” on a clock as representation in base 10. That is hard to do because we translate all bases into our base 10 understanding. For example, if we thought in base 2, “2” would not exist. For clocks, minutes and seconds, are made of 60 unique symbols (digits). We show them in base 10, but we could use any symbols. We could use aa, ab, ac for the first 3. Or we could use ( ) $ for the first three digits.
For hours, the symbols are 12, 1, 2, 3, etc. So there is no problem with not having 0, just like in normal base 10 there is no problem not having V (from Roman Numerals) because is it not a “digit” in our system.
It is interesting to replace familiar digits with something else other than base ten digits. For hexadecimal we use A, B, …, F as extra digits.
Base 2 is equivalently represented by T and F
F + F = F
F + T = T
T + F = T
T + T = TF
2:51 it is actually more of an aesthetic to the VIII
You could also interpret the 12h clocks to start with the asymptote to 0 and ending with exactly 12 before reseting. Which feels almost as reasonable as starting with 0.
Some languages use "negatives" to express minutes. Think of people saying "a quarter to two" which is two o'clock minus 15 minutes. Spanish literally uses the word minus (menos) to express times after 30 minutes.
Yes, french too, exemple: minuit moins vingt for twenty to midnight :)
This has bugged me for years now. Thanks for talking about it,
I've read that they used 'IIII' rather than 'IV' so as to have 20 I's, 4 V's, and 4 X's on a clock face. This meant that you'd only need to make a mold with 5 I's, 1 V, and 1 X, and use it four times to get all the numerals you'd need, rather than make 17 I's, 5 V's, and 4 X's.
Love this crazy channel… :-)
Not sure if there's an official/agreed upon notation, but I guess the 12h system could be written as (base12)+1
Is there a term for a base that doesn’t use zero? Or is base predicated on the use of zeroes
Now need an Arduino project to run a clock back and forth, will run 0-11 outside and 12-23 inside. Might be able to just flip the polarity but i guess i will have something go funny and drift a second a day due to midday but thats maybe not the case
Just wait till this man finds out we start each month on day 1
There’s already an episode I’ve made deconstructing calendars in a similar way haha
@@ComboClass Awesome. Love your channel by the way.
4:37 You can put a line over a number to multiply it by 1'000
You can also, instead, make multi-looped Ds and Ms to continue the sequence of new symbols.
ⅠↃ or Ⅾ or D =500. ⅭⅠↃ or Ⅿ or M =1000.
ⅠↃↃ or ↁ =5000. ⅭⅭⅠↃↃ or ↂ =10000.
ⅠↃↃↃ or ↇ =5000. ⅭⅭⅭⅠↃↃↃ or ↈ =100000. etc.
So maybe a googol could be written as ⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅭⅠↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃↃ
2:52 IIII was also used in ancient Rome because it made doing maths easier
I would like a 13month/28day calendar with a new years day and a leap day added on. Also no more daylight savings. Also everyone on UTC.
since 12 is the first hour, i think it's more like "hours range from 0-11 and zero is written as ‘12’" rather than "hours range from 1-12"
Fun fact, the original Roman Numeral System didn't have the subtraction rule (at least not in any standardized and broadly accepted way). That was a medieval invention.
While the base six one is the most out there, I think it's WAYYYYYYYY more sensible than the 24 hour analog clock. One good thing about the 12 hour clock is that the minutes and seconds are also divisible by 12, but they are not divisible by 24, which would destroy the minutes layout. And while the fractions have their benefits, I think that the mental computation of adding different fractions is absolutely not worth it and that might be a problem for the positive/negative too, although for that one I'm not quite sure.
I agree with the start from 0. It's an easy change that barely anyone would care much about.
19:46 Simplifying also means "three sixths" can be used for ⅙ hour ⅙ minute ⅙ second and be nonambiguous with ½ hour exactly on the dot.
You know what's actually hillarious? The 60 seconds per minute, 60 minutes per hour, and 24 hours per day are all unnecessarily complicated.
With a heart rate of exactly 70 bpm throughout the day, your heart would beat 100,800 times. If we assume your heart rate is just a little below that rate, that would make about 100,000 heart beats in the day. Now, that makes an intuitive and easy way to both split up the day into a small unit, and count that unit.
Let's say a becond is the approximate time it takes an average human heart to beat (while somewhat relaxed and also awake). Now, we can say there are 100 beconds in a cinute, 100 cinutes in a haur, and 10 haurs in a day.
1 becond = 0.864 seconds
1 cinute = 1.44 minutes
1 haur = 2.4 hours
1 second = 1.0373444 beconds
1 minute = 0.69444 cinutes
1 hour = 0.41667 haurs
1 day = 100,000 beconds
1 day = 1,000 cinutes
1 day = 86,400 seconds
1 day = 1,440 minutes
This system is pretty good and pretty easy to learn. These conversions are pretty easy to do, and switching to the becond + cinute + haur system has lots of benefits.
I also can't stand how clocks go directly from 11:59 AM to 12:00 PM.
I would call these “Four ideas whose time has come”
i love this guy 😭😭
9:50 that is just an issue in US. The world keeps counting in double digits until 24 :00 = 0 :00
10:50 at the risk of being inconsistent: 12 is written bc it is mostly used in the middle of the day which is 12. 0 :00 would only be useful if most people were awake at 0 :00 than at 12 :00. also for shorthand you can and will say 1 :00 for 13 :00 aso. Also, a single 0 is a bit confusing. In everyday situation a 0 is not needed. You will either mistake it for an O or look for a digit it goes with (like 1 0)
2:50 actually, "IIII" is also correct, just older fashioned. "IV" came around because people who carved words in stone charged by the letter
999 hit combo!!!
My man has now conquered clocks.
Just wait until he gets his hands on a tape measure . . .
I also came to the conclusion that 12 o'clock is really 0 o'clock one day while writing code to convert between hh:mm:ss and a number of seconds. The easiest way was to first replace 12 by 0 and then treat it as a base conversion.
Theres one important astronomy constant = PI seconds is one nanocentury !
Liked because you write 4 the correct way
Maybe the last one is not the hardest to digest, but the easiest one. Since there have been some pushes made towards it.
For example currently there's the Industrieminute and the Industriesekunde existing and being used: de.wikipedia.org/wiki/Industrieminute
One hour is 100 Industrieminuten and 1 minute is NOT 1 Industriesekunde, because 1 Industrieminute is not 1 Minute and1 Industrieminute is actually 100 Industriesekunden. The wiki article also explains the advantage of the Industriezeit: If someone worked exactly 8 and a half hours, then he also worked exactly 85000 Industriesekunden - easy. Now tell my how many normal seconds he worked.
Of course that's only part way to equalization. There's also been pushed made to full equalization:
en.wikipedia.org/wiki/Decimal_time
Many pushes, but none as long-term succesful and established as the Industriesekunde.
I rotated the face of the clock so 8 is on top since 8am to 8pm is a useful period of the day to measure
Thats why money in england used to divide into 240 instead of 100. I say make it 420, still divisible in most of the same ways and some others. Namely by 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210 and 420 - 100 doesnt even divide by 3 and consequently neither by 6.
one problem with using 36:36:36 would be that it would be harder to count seconds. when trying to count seconds, i have to keep a rhythm of 60 bpm, which isn't to hard, but with these longer seconds, i'd have to keep a rhythm of 32.4 bpm, which is so slow it doesn't really feel like a rhythm, and would be much harder to follow
I have ADHD if I try to tap once a second I end up somewhere between 90 bpm to 150 bpm, usually around 120 bpm, which means what I think is a second is actually half a second. I kan keep a very steady rythm at that speed, but much slower than 90 bpm I tend to drift a lot because then I no longer can hold a steady rythm I have to sort of think about how long a second is between beats.
60 bpm is actually rather slow and hard to keep as a steady (at least with ADHD), but if you need to estimate seconds without a clock you could just count half-seconds and halve the number to get seconds, or if the seconds were almost twice as long you could just count quarter seconds and just quarter the result to get the new long seconds. (Or in your case if you are comfortable keeping a slow 60 bpm rythm, you could just count old seconds and halve the result to get new seconds)
Why is it an issue to jump from 12 to 1, but totally fine to jump from 5 to -6?
Agreed that roman numerals suck. It's hard to read. It looks the same and you're left counting I's, which defeats the point of a number system. You might as well have tally marks. The number of symbols does not reflect the size of the number.
Zero would be nice and convenient. It might help me remember whether midnight or noon are am or pm.
The negatives would be horrible. You'd have to change how you think about measuring time throughout the day. It'd take more brain power to add and subtract times.
The fractions would be horrible. We make smaller units of a larger unit for a reason. It would be more inconvenient to have to add 1/4 to 1/3, instead of them just having a common invisible denominator that I don't have to worry about. It's better to just add 3 to 4.
I've thought before about what if we had 6 day weeks, and 10 hour days so we could have 60s all the way down. approximately 360 days or 60 weeks in a year. 60 hours in a week. 60 minutes in an hour. 60 seconds in a minutes.
2:48 - It's actually more accurate to how Roman numerals were written in Ancient Rome
So now if it's pm12:35 you can say it's zero o' clock ?