an introduction to a numbering system that's objectively better than decimal adobe premiere elements 9 is bad video editing software and my laptop is dying / hbmmaster seximal.net
@@aaryanbhatia4939 my primary goal with my seximal terminogy was to mimic the way the english language handles decimal, not to be as practical as possible. also, I really wanted to avoid confusion in terms of what number you're referring to when you're talking out loud, and calling SEX30 "thirty" would be confusing because thirty unambiguously means DEC30, or SEX50.
Using 6 as a base is also cool because all prime numbers excluding 2 and 3(which are coincidentally the factors of 6(unrelated, but even more cool)) come either directly before or directly after a number that is divisible by 6. All prime numbers excluding 2 and 3 will therefore always have 1 or 5 as their last digit.
2 and 3 being the factors of 6 as everything to do with primes not ending with digits that are divisible by 2 or 3. the same applies with 2 and 5 in decimal.
Binary is great example of how smaller base do computations easier, visible in computer math operations. Your humor and deepthink are in great balance. Please never stop, this is great!
There's a point where it's impossible to have a single clue of what's going on since he's just saying "fifsy eleven dozen eleven fourths", and I love it
For base 5040 you can write each digit as four decimal digits, and use a separator between each 4 digits such as an apostrophe. For example, 66488 = 13 * 5040 + 968 = "13'0968", or 1/2 = 2520/5040 = "0.2520". That lets you bypass the need to have 5040 different symbols or 5040x5040 multiplication table, while you still get all the nice fraction representations. I believe the bablyonians did something similar for their sexagesimal (base 60) system where they wrote every base 60 digit as two decimal digits.
i love watching these videos because after every sentence, I need to pause the video and reread the latest sentence repeatedly until it eventually makes sense to me. It's like leg day for my frontal lobe!
I've added this to my music for work playlist. Passages of "in dozenal, half is written as point six, because it's equal to six twelfths." are weirdly calming
Virgin bends to the will of silicon VS chad uses whatever he finds convenient because he knows he cannot escape the billions of arbitrary evolution that shaped his perception and understanding of reality and abstract concepts.
I understand binary because that's just how states works, but why hexadecimal? Was that chosen? It seems pretty arbitrary to me but I don't know computers
Me going into the seximal segment: “there’s no way, dozenal is the best” Me after the hand counting bit: “I’m about to look like a damn fool aren’t I” Me after the fractions segment: “there’s no way, seximal is the best”
Two solutions to the seeing numbers from a distance thing. 1: we just do as we always have and count digits. How many times do you have to go above 5 anyway? It's simple, intuitive, and not really disruptive to the our counting system 2: once all five digits are used, turn your hand around for 6 which makes it at least equivalent to decimal at visually counting with hands from a distance
I love you content and I am really happy to find out than I am not the only one that though about the counting system with seximal. I actually used is a couple of times counting when I had to track iterations of something pased 10. Also I think that if you have good control of your hand you can use base 2 to be able to count things in your hands up to 1023. Though not all that practical, but still an option. (edit: seems like I pause the video to soon)
@@PeacefulTQ theres nothing wrong with highlighting a line that you liked. Would you rather they prefaced the quote with, "I really like this line: ". Is it not good enough just to repeat it? All of you who reply to these sorts of comments with "congrats you watched the video" are completely missing the point.
Sure, dozenal is practical for whole numbers and seximal is great, but decimal has the special benefit of *not giving me a headache* so I’ll use that Edit: *I know it’s just because I was taught decimal first.* That doesn’t change the reality.
I personally think base 30 is the best, because it can represent 1/5 as a decimal with finite digits since 30 is divisible by 5. It can do the same for 1/6, 1/4, and 1/8, since 6 is a multiple of 3, and 4 and 8 are multiples of 2.
@The Truth: Stranger Than Fiction that's bc there are so many sounds we can make with our mouths. I'm not saying it would be very difficult to remember all 30 symbols but it would be a pain to use them
@@specificocean588 its better than base 20 though, which is just base 10 on steroids since they share the same factors. The Ancient Mayans used base 20 FYI.
Let me introduce you to my favorite way of counting: Base Un. Every number goes up by one and if it ends it’s divisible by one. Clearly no way of counting is better or simpler.
you can derive a divisibility test for a given number by splitting the number in two as a means of simplifying it. for a given number, y is the first digit of the number only, and x is the number without digit y. for example, for 321, y =1 and x = 32. you can combine x and y as '10x + y' to get back the number you chose. we can adjust the statement to create divisibility tests. as an example, we can make one for 15 (DEC 11). we can multiply our starting statement '10x+y' by 2, to make '20x+2y' (dw multiplication maintains its normal divisibility). we can then separate out 15x to make '(x+2y)+15x'. since we know 15x is divisible by 15, the test lies in the part in parenthesis (the 'x+2y' bit). just plug in the numbers x and y, and it will output a number. if it's divisible by 15, the whole number is too. it works recursively if you still cant figure out if its divisible. we are able to make tests for one above multiples of 10, though it will include negative outputs too. if we do 21 (DEC 13), we can use the same '20x+2y' statement, then with a bit of black magic, separate out a '21x' by fabricating a '-x', which makes '(-x + 2y) + 21x'. since we know the 21x is divisible by 21, the test, once again, lies in the parenthesis. in most cases it will produce a negative number, but we swap the signs to 'x - 2y' to make less cases be negative while maintaining its factors. regardless, we can take its absolute value *AFTER* we add the x and y terms. if you remember, Misali noted that all primes in seximal end with 1 or 5. with that said, it has a very big implication. this means that in seximal, every prime in existence has easy-to-derive divisibility tests, simply by getting the 'x' value, and adding the 'y' value times the multiple of six that the prime is adjacent to. the only point of complication is to make sure that the 'y' term adds in case the prime ends in 5, and subtracts in case the prime ends in 1. these two cases cover every prime. there might be specific divisibility tests case-by-case, but this is the general divisibility rule, and it works surprisingly well with seximal.
finger counting is so fun for decimal, you can do a similar thing to the seximal system where each hand is a place, you just have to treat having the thumb extended versus the thumb curled as resulting in a different digit. for example: 0-4 are as normal, with a closed fist representing 0 and 1-4 fingers extended being the symbol for 1-4. but, by then retracting those 4 and extending your thumb, that can act as the symbol for 5. that leaves the other four did gets to be reextended. thumb and index is 6, thumb and two fingers is 7, and so on once you reach 10, the other hand can be used as the tens place while the first reverts to a 0 by becoming a closed fist. in this way you can count all the way up to 99 with only your fingers!
But imagine a universe where this method of counting is the norm and when you read out to those people "eleven million a hundred and eleven thousand a hundred and eleven", many brains will hurt at 1am
I wrote a paper in middle school in support of dozenal which contained some fairly poorly constructed arguments, and the introduction to this video feels like a personal attack
Apparently the trick is to just gish gallop / technobabble a bunch of numbers in mixed bases by arbitrary comparison metrics until it's impossible to refute
Got some humor early, then more later then started to enjoy the rapid fire of it. Did you know that the comparison between 10's factors and ... just kidding. That was the funniest part to me. Thanks.
8:43 I rewatch this video every year or so and that always gets me. I mean I get it, but it just looks like a hilarious typo. Pair that with tone, and the use of decimal while under a dozen, fantastic. it just makes me laugh
Idk if its cos this guy is actually always right or hes the most manipulative convincer but after every video of his i agree with absolutely everything he said.. AND AN APOSTRPOPHE IS DEFINITELY A LETTER
My head is spinning from the (humorous) facts about the dozenal system. "This must be nearly done", I say to myself. "He can't have much more about dozenal to say, can he?" The first finger on the monkey's paw curls.
"At this point, I'm going to break character and ask the question you should be asking right now." Oh thank God, he knows how frustrating and confusing this is. "Why did I stop at fourths?" You're a cruel man.
@Musikbibliothek Yea, you're right in a way, there are also other factors that come into play, like for example if this is the first time a person comes across this kind of topic (like me, I have never heard of this stuff, and it was quite the "brain tickler"), but that doesn't mean I won't understand it, I just need to have a moment to actually sit down and concentrate on it. P.S. I genuinely like how you wrote as if you're writing a letter. Have a great day, Antoni
if I had been listening to this out loud the information would've gone into one ear and out the other. but, since I'm using headphones, half of the information came through both ears and then knocked around in the empty chasm of my mind. once I remove my earbuds I'm afraid the pressure all this information has formed within my head will rush forth from my ear and possibly damage my eardrum. as you can see you've put me in quite the precarious situation. as for the joke, it would have gone over my head but it also tried to enter directly into my brain, but it was too dry to pass through my head hole and I believe it has lodged itself somewhere within my ear canal. you should be receiving an email from my lawyer within the next 24 hours detailing the lawsuit I am currently filing against you for the internal and external bodily harm this video has caused me.
But a perfect fifth is a proportion of 3:2 and is only called a fifth because of confusing inclusive counting. A major third has often a proportion of 5:4 in just intonations but is objectively less used to tune than fifths. So 3 wins.
only if you use 0. in high school I created a base 4 system that went like 1 2 3 4 11 12 13 14 21 22 23 24 ... 10 didn't make any sense in that kind of system
That's kind of like saying "every language is English, you just say it differently" - just because base-10 is the standard we use, its not inherently more fundamental to math than base-12 or base-6 would be
This man sounds way too hyped up about this thing that it makes me have to listen to the rest because if I dont I feel like a bad friend for someone I dont even know.
We used base 16 representation in computer speak. Base 8 and base 64 also. The imperial system is based on repeated division of two. For auto machinist works well. Binary is repeated multiplication of two. Very compatible.
I noticed that too! I'm wondering if there are similar connections in other videos? I just finished "There are 48 regular polyhedra" and can't shake the feeling that the music is somehow related, but I also can't quite figure it out
i can count up to 9 on each hand, so with one hand for the tens place and one hand for the ones place i can count to 99 on my fingers in base 10. 0 is a closed fist, 1-4 are counted index to pinky with the thumb down, 5 is an open hand, 6-9 are counted thumb to ring finger with the pinky down. i started using this system as a way to keep track of long rests in band
I've been a fan of dozenal for quite some time now but I have to admit this is the first counterargument to dozenal I've seen that actually brings up some really solid points.
Sauron Gorthaur yes I spent the past 2 minutes checking the math and you are right, though I am significantly confused though a little less so but still a lot.
There were 240 pence in a pound, which is really nice. Id go one further and use base 420, now you can divide easily by 1,2,3,4,5,6 even 7. And 10 and 12.
0:00 dozenal guide 3:56 why dozenal doesn'tal 4:51 a better way to count 5:32 six is a small number 8:44 most people have 14 fingers 10:30 six is an antiprime 16:54 conclusion
It seems like every time I come back to this video, I have something new to add. Base 10 may come from how many fingers we have, but so does base 6. We have two base 6 "digits" at our disposal. On one hand, you can count 0, 1, 2, 3, 4, 5, and then wrap back to 0, and put 1 up on the other hand. Edit: So *that's* why I didn't mention that in a previous comment. I forgot it was already mentioned in the video.
Thirds are more important than fifths in music though (or at least in chords). That's why fifths get dropped all the time. Thirds give the chord color, the 5th just repeats information already widely available in the root.
Also, triplets. And compound meter. Are you telling me you wanna go with a numbering system that makes 5:4 easier to use than 12:8? If so, you do not have my vote in the upcoming election.
@@rupen42 there are many many genres of music that regularly don't use thirds in their chords, for example most rock, punk, metal, etc. These genres do care about fifths however, as the structure is mostly power chords, a chord with just a fifth and no third
![[TH]FFWS SEA Spring 2024 Final](http://i.ytimg.com/vi/TK2mu-8yBFU/mqdefault.jpg)
yes, I'm aware that I compared the prime factors of ten and the factors of twelve. it was a joke. please stop telling me about that.
you compared the prime factors of ten and the factors of twelve
i told you about it what you gonna do about it
Base 60 motherfuckers 4ε/1,00 people agree
You compared 12 to the bombardment of Bloons on bloons TD battles 5 round 6
How can a fifth equal a sixth in seximal?
@@aaryanbhatia4939 my primary goal with my seximal terminogy was to mimic the way the english language handles decimal, not to be as practical as possible. also, I really wanted to avoid confusion in terms of what number you're referring to when you're talking out loud, and calling SEX30 "thirty" would be confusing because thirty unambiguously means DEC30, or SEX50.
> "dozenal is already common in some contexts, like if you're counting eggs"
> Proceeds to show box of ten eggs
our country: we only have a tray of 36 eggs, so use base 36
@@JohnPaulBuce 12 * 3 = 36
@@bluecat5669
12/4=3
or 12/4/2=2
base 3 or base 2?
@@smolneko9294 your math is a bit.... no
@@colorfuk1688 oh whoops, replace that second four with a 3 haha
I tried this irl, now there’s a demon in my house named Greg and he won’t leave.
reman give him a sandwich, he should leave shortly
A limb sandwich
Give Jreg centricide, talk about how you dislike moderates, and he'll leave promptly
But have you ever drunk Baileys from a shoe?
Wassup Greg's and welcome to my channel. The second channel where I don't have to script and can wing it.
Using 6 as a base is also cool because all prime numbers excluding 2 and 3(which are coincidentally the factors of 6(unrelated, but even more cool)) come either directly before or directly after a number that is divisible by 6. All prime numbers excluding 2 and 3 will therefore always have 1 or 5 as their last digit.
2 and 3 being the factors of 6 as everything to do with primes not ending with digits that are divisible by 2 or 3. the same applies with 2 and 5 in decimal.
"coincidentally" The first thing you should learn about math is that there are no coincidences.
1:13 "Yeah using dozens is already pretty common with things like eggs" (shows egg carton with 10 eggs)
“If it ends, it’s divisible by one.”
Yes, thank you.
But only with dozimal, not with decimal
What if it doesn’t end?
@@stepexgd6628 then it is
Cole Smith WHAT IF IT DOESN'T.
HELP I'M WRITING PI.
@@guard13007 there's no saving you now, you're in too deep.
I use base 27. There's no reason for it. I just hate myself.
If you're going to use base 27, you might as well go all the way and use a prime number, so you should switch to base 29
27 actually isn't a bad choice. It translates seamlessly from base 3.
Base 4620 (2x2x3x5x7x11), for lots of easy division
@@wolfelkan8183 base 27 is the -hexadecimal- octal to trinary.
Question, how is 10 (from base 10) written in base 27?
Binary is great example of how smaller base do computations easier, visible in computer math operations.
Your humor and deepthink are in great balance. Please never stop, this is great!
"Just so we're on the same page here, you're wrong" is my new favorite line
“people have 10 fingers”
-proceeds to show 14
my brain: *something’s wrong, I can feel it*
@Michael Darrow ik. took my a while haha
oh yeah, that confused me quite a bit
Same
Cube Kristof 8:45
I believe it's in a different base.
Sir, this is a Wendy's.
Lol I can imagine him very hastily ranting about how 6 is better at a Wendy’s drive through
no this is patrick
Can I get uhhh.......
_hey, you wanna know a better way to count_
Just here to comment for you to be in recommended
*_boneless_** counting*
Iamme what
“now stop pretending to be plato”
i love vi hart so that reference made me smile
Love how 1 & 10 got conveniently left out of the factors of 10 😂
shhhhh
4 doesn't sound as pretty and 2 when your trying to make six sound big
PRIME FACTORS
That's the joke
love how -1 and -10 got conveniently left out of the factors of ten /j
The first thing that's great about dozenal is that it's already common in some contexts like if you're counting eggs~
>Shows a 10 egg carton.
dental fricatives because of your name and profile pic you have earned yourself a subscriber
Make that 2. This guy needs to make videos
Make that 3. Wouldn't hurt to have another subscriber
Jah're Parker What if you have a condition that makes having more subscribers cause you intense physical pain?
Errorite I have that condition, these seven people subbed to me are literal demons.
There's a point where it's impossible to have a single clue of what's going on since he's just saying "fifsy eleven dozen eleven fourths", and I love it
D:
Yeah, the video’s constructed and presented like an educational video with added humor, when really it’s just a shitpost.
@@limepop340 he explained that it is, in fact, an educational video with jokes, not an entire shitpost. See "seximal responses"
Use seximal anyway.
I hate it.
For base 5040 you can write each digit as four decimal digits, and use a separator between each 4 digits such as an apostrophe. For example, 66488 = 13 * 5040 + 968 = "13'0968", or 1/2 = 2520/5040 = "0.2520". That lets you bypass the need to have 5040 different symbols or 5040x5040 multiplication table, while you still get all the nice fraction representations. I believe the bablyonians did something similar for their sexagesimal (base 60) system where they wrote every base 60 digit as two decimal digits.
Or you could just die
I did something similar when I made my base 120. (Centevigintesimal)
This has become one of my new favorite videos on TH-cam. You have converted me from dozenal to seximal.
i'm still dozenal
My reaction to the hangman video: oh, he's quirky and smart.
My reaction after watching this: oh he's a genius and a crack addict.
same 😂
Michael Reeves be like
I see a fellow man brought here from his hangman vid
Michael reeves but linguists
Your at 888 likes, I want to like but I simply cannot
14:40 "I get where you're coming from, but, just so we're on the same page, you're wrong"
6/6
What's "6"? :P
@@gorantopic2500 he meant 10/10
@@MisterHunterWolf your level of nerd is over 105400 sir :D
@@gorantopic2500 same
δ/δ
10:22 It also leads to issues if you're trying to communicate the number 4, because people will think you're giving them the middle finger.
and it's even worse when you want to communicate the number 132
@@thisisachannelwhy42069explain?
there's something about the digits appearing to the beat of the music at the end that feels really nice to me
"If it ends it's divisible by one" is the most powerful short sentence, it's like a dragon shout
infinite numbers are divisible by one
@@egon3705 not if by "divisible" you mean "evenly divisible into integer groups"
If it is it is divisible by one
@@comradegarrett1202 right but that's... Not what it means?
@@consume_arsenic Isn't it? The statement was made in the context of other whole number divisibility tests.
reasons to use base 6: "Seximal"
(͡ ͡° ͜ つ ͡͡°)
ʘ‿ʘ
@@noralasiah5623 (╹◡╹)
Didn’t expect to find you here! (And also hi)
@*Redwolf Playz*
It appears you missed the joke.
i love watching these videos because after every sentence, I need to pause the video and reread the latest sentence repeatedly until it eventually makes sense to me. It's like leg day for my frontal lobe!
I've added this to my music for work playlist.
Passages of "in dozenal, half is written as point six, because it's equal to six twelfths." are weirdly calming
To be honest, I didn't understand a word of this video after the first 2 minutes
Wait, this video was longer than a minute?
it just sounds like a different language. what is a thirsy. i'm losing brain cells.
Niphsy piffle, Thursday is gross, dozen doesn’t, does it?
Same
And yet we kept watching.
imagine being inconvenient for computers to use
this comment was made by hexadecimal and binary gang
Virgin bends to the will of silicon VS chad uses whatever he finds convenient because he knows he cannot escape the billions of arbitrary evolution that shaped his perception and understanding of reality and abstract concepts.
I understand binary because that's just how states works, but why hexadecimal? Was that chosen? It seems pretty arbitrary to me but I don't know computers
@@shybandit521 Because it translates directly into binary, since it's a power of 2, same with octal, 0F = 00001111
@@ElBley98 cheers!
@@ElBley98 exactly, hexadecimal is just base 2^4, so you know any given hexadecimal number represents four binary digits. Same goes for octal.
I love your videos man, this is the funny math humor I miss from school and university.
This video really helped me study for this years ACSL problems! I have a perfect score so far! Thanks!
I love how casually he switches between writing ten as 14 and 10 and X
I don't get it you said X(sub twelve) 11(sub two) times
I like how you casually switch between writing X as "ten" and 14 as "10"
best A
I personally also like how he switches from decimal terminology to seximal terminology to base-12 (duodecimal?) terminology
@@soopFPS dozenal
Me going into the seximal segment: “there’s no way, dozenal is the best”
Me after the hand counting bit: “I’m about to look like a damn fool aren’t I”
Me after the fractions segment: “there’s no way, seximal is the best”
My brain agrees with Misali -_- but the heart wants what the heart wants -_-
Two solutions to the seeing numbers from a distance thing.
1: we just do as we always have and count digits. How many times do you have to go above 5 anyway? It's simple, intuitive, and not really disruptive to the our counting system
2: once all five digits are used, turn your hand around for 6 which makes it at least equivalent to decimal at visually counting with hands from a distance
@@pyrotechnic96 Or you could use 5 other hand signs, like in Chinese hand counting where 🤙(but not sideways) is 6
@@audreywong7494 no it's the thumb, not the index finger. The symbols are supposed to look like the Chinese characters
@@awelotta Yes that's right, it's the thumb instead of index finger. I didn't realize that it was the wrong emoji
If you're gonna make a new counting system then just go ahead and make new symbols for every digit while you're at it to avoid confusion
100% agreed!
I love you content and I am really happy to find out than I am not the only one that though about the counting system with seximal. I actually used is a couple of times counting when I had to track iterations of something pased 10.
Also I think that if you have good control of your hand you can use base 2 to be able to count things in your hands up to 1023. Though not all that practical, but still an option. (edit: seems like I pause the video to soon)
Imagine not having factors of 2, 3, 4, 5, 6, 10, 12, 15, 20, and 30
This post was made by base 60 gang
Imagine having to learn 60 digits
@@micaelgarcia1576 imagine be asiatic and have te learn a lot of symbols anyway
@@theotimevauthier6102 imagine having to learn how to write words... Oh wait
Imagine having to learn 60 characters!
This post was made by base 1 gang
IMAGINE LEARNING TWO GLYPHS FOR EACH LETTER
THIS POST MADE BY MAJUSCULE GANG
me: "What's the wifi password?"
friend: "It's on the back of the router."
back of the router: 15:39
Nice.
never read the comments before watching the video got it, lesson learned
I can't tell whether you mean the visual or the audio and honestly, that just makes it better
@17:36
@@Deatlod nice
I listened for a couple of minutes and couldn’t take it anymore.
jan hit it out of the park with this one. witty and so interesting
“Six is a very nice number. In fact, it’s what mathematicians would call a perfect number, which has nothing to do with what I’m talking about.”
Congrats you watched the video
@@grargknathe170 its one of the best lines from the video
@@inafridge8573 the video that we all watched
@@PeacefulTQ yeah no im not sitting through 18 minutes of this
@@PeacefulTQ theres nothing wrong with highlighting a line that you liked. Would you rather they prefaced the quote with, "I really like this line: ". Is it not good enough just to repeat it? All of you who reply to these sorts of comments with "congrats you watched the video" are completely missing the point.
Sure, dozenal is practical for whole numbers and seximal is great, but decimal has the special benefit of *not giving me a headache* so I’ll use that
Edit: *I know it’s just because I was taught decimal first.* That doesn’t change the reality.
Decimal is great for metric. If I ever want a non-decimal system, I think I'll go binary or hex.
But seximal has the funny adult word in it
@@mythosinfinite6736 Ima doesn't amuse me as much as it does everyone else.
@@tallynnyntyg6008 Are you even human?
@@First-to-last what amuses someone is subjective, if anything that variation proves they're also human
I personally think base 30 is the best, because it can represent 1/5 as a decimal with finite digits since 30 is divisible by 5. It can do the same for 1/6, 1/4, and 1/8, since 6 is a multiple of 3, and 4 and 8 are multiples of 2.
sounds like a pain to have 30 different symbols for each number
@@specificocean588 we already have 26 Latin letters as well as some Greek letters.
@The Truth: Stranger Than Fiction that's bc there are so many sounds we can make with our mouths. I'm not saying it would be very difficult to remember all 30 symbols but it would be a pain to use them
@@specificocean588 its better than base 20 though, which is just base 10 on steroids since they share the same factors. The Ancient Mayans used base 20 FYI.
@@thetruthstrangerthanfictio954 base 1. Everything is divisible by one. Ez
This video has fantastic rewatch value
Let me introduce you to my favorite way of counting: Base Un. Every number goes up by one and if it ends it’s divisible by one. Clearly no way of counting is better or simpler.
So basically tally marks?
Brent Trenholme and you’re not allowed to have a slash indicating a group of five. That would be cheating
unary's only digit is 0, checkmate
What about fractions?
maria fe 0.0
THE NUMBERS, MASON, WHAT DO THEY MEAN
THE FUCKING NUMBERS ARGH
@@fat6776 WHAT DO THEY MEAAAAAAAAAN
_im confused by the context of their profile pic i dont know if theyre a bleach fan or mcyt fan send help_
@@FrizellaTheBee wtf is mcyt
@@Zadamanim minecraft number
edit: yourube has fried my brai,ni meant minecraft youtuber
you can derive a divisibility test for a given number by splitting the number in two as a means of simplifying it. for a given number, y is the first digit of the number only, and x is the number without digit y. for example, for 321, y =1 and x = 32. you can combine x and y as '10x + y' to get back the number you chose. we can adjust the statement to create divisibility tests.
as an example, we can make one for 15 (DEC 11). we can multiply our starting statement '10x+y' by 2, to make '20x+2y' (dw multiplication maintains its normal divisibility).
we can then separate out 15x to make '(x+2y)+15x'. since we know 15x is divisible by 15, the test lies in the part in parenthesis (the 'x+2y' bit). just plug in the numbers x and y, and it will output a number. if it's divisible by 15, the whole number is too. it works recursively if you still cant figure out if its divisible.
we are able to make tests for one above multiples of 10, though it will include negative outputs too. if we do 21 (DEC 13), we can use the same '20x+2y' statement, then with a bit of black magic, separate out a '21x' by fabricating a '-x', which makes '(-x + 2y) + 21x'. since we know the 21x is divisible by 21, the test, once again, lies in the parenthesis. in most cases it will produce a negative number, but we swap the signs to 'x - 2y' to make less cases be negative while maintaining its factors. regardless, we can take its absolute value *AFTER* we add the x and y terms.
if you remember, Misali noted that all primes in seximal end with 1 or 5. with that said, it has a very big implication.
this means that in seximal, every prime in existence has easy-to-derive divisibility tests, simply by getting the 'x' value, and adding the 'y' value times the multiple of six that the prime is adjacent to. the only point of complication is to make sure that the 'y' term adds in case the prime ends in 5, and subtracts in case the prime ends in 1. these two cases cover every prime.
there might be specific divisibility tests case-by-case, but this is the general divisibility rule, and it works surprisingly well with seximal.
finger counting is so fun
for decimal, you can do a similar thing to the seximal system where each hand is a place, you just have to treat having the thumb extended versus the thumb curled as resulting in a different digit.
for example: 0-4 are as normal, with a closed fist representing 0 and 1-4 fingers extended being the symbol for 1-4. but, by then retracting those 4 and extending your thumb, that can act as the symbol for 5. that leaves the other four did gets to be reextended. thumb and index is 6, thumb and two fingers is 7, and so on
once you reach 10, the other hand can be used as the tens place while the first reverts to a 0 by becoming a closed fist. in this way you can count all the way up to 99 with only your fingers!
I understand every word and no words. this whole video is an optical illusion for my mind
Use seximal anyway.
@@mariafe7050 similar pfp moment
This video is so simple I wonder how you people go through the real world Jesus Christ
The concept was easy to understand, but the random jargons throws me off everytime. It’s like calling water “Dihydrogen Monoxide”.
Let me be pedantic... Isn't it more an acoustical illusion? 🤔
"There's a lot you're not going to know, so you should stop pretending to be Plato."
That may actually be the funniest thing I've heard in a few days.
"But just so we're on the same page, you're wrong" got me really good
@@takeastepback3333 Me too. He talks really fast and technical but his occasional jokes keep my attention.
I would like this comment but it's already at 256
it's 6 am and I am in Love with this video
only at 4:55 did i notice that this video was considerably longer than i thought it was
Same
Video: SEXimal
Me: 🤨🤨🤨
"eleven gros eleven dozen eleven great gros eleven dozen eleven" man its 1am my brain hurts
Use seximal anyway.
But imagine a universe where this method of counting is the norm and when you read out to those people "eleven million a hundred and eleven thousand a hundred and eleven", many brains will hurt at 1am
It's 2:55 my mind blown at 0:01 of that video
I wrote a paper in middle school in support of dozenal which contained some fairly poorly constructed arguments, and the introduction to this video feels like a personal attack
I would like to see it.
Apparently the trick is to just gish gallop / technobabble a bunch of numbers in mixed bases by arbitrary comparison metrics until it's impossible to refute
I didn't understand a word of this video but was absolutely enthralled by all of it. 10/10
Got some humor early, then more later then started to enjoy the rapid fire of it. Did you know that the comparison between 10's factors and ... just kidding. That was the funniest part to me. Thanks.
I'm not high on drugs but it sure feels like it.
Same
Ive never been high but tbh this seems what it would feel like
I'm high because I was prescribed it and it made me feel less high, somehow.
Use seximal anyway
part two
most people have 14 fingers
(Probably because 14 is ten in base 6)
@@s4ad0wpi ((well come to the joke))
Most people have:
1010
101
22
20
14
13
12
11
10
A
A
A
...
Fingers
I have 22,680 fingers.
@@mekafinchi most people have IIIIIIIIII fingers
These are the types of videos i randomly watch at 2 AM
8:43
I rewatch this video every year or so and that always gets me. I mean I get it, but it just looks like a hilarious typo. Pair that with tone, and the use of decimal while under a dozen, fantastic. it just makes me laugh
lol same
"if it ends, it's divisible by one" came out of nowhere and i had to pause the video to laugh
all your base are belong to us
I can't be the 13th like... 12 is too perfect...
@@connerbaird834 come back. Its not like you can ruin it now. It already has been.
@@alansmithee419 I've liked it now.
@@connerbaird834 nice. Maybe we can reach 55? (1 less than 100 in base six). Hopefully none will ruin that one.
ha ha ha
Although it all makes sense, this feels more like math from an alternate reality. You did an amazing job here!
Thank you for teaching me how to count to 72 on my two hands
I wish to engrave this into my memory for later use
"You're gonna have to use base 60!"
Time: "Allow me to introduce myself."
The Mesopotamians were on to something. (It's not that unreasonable to approximate 360 days in a year.)
@@libertyprime7911 you lose 5.5 days a year so unless you had something like a leap year but for a large quantity of days it would be
ok but it's not reallyyyy base 60, it's base 10 masquerading as base 60
@@mschuhler Quick, divide 10 evenly into thirds. (No rounding.)
@@DavidGalvanwiz So, like, make 5.5 months have an extra day, or something like that? I think you're on to something! ;-)
“I completely get where you’re coming feom if you disagree with that, but, just so we’re on the same page here, you’re wrong.” Genius
“I completely get where you’re coming from if you disagree with that, but, just so we’re on the same page here, you’re wrong.” (bump)
Idk if its cos this guy is actually always right or hes the most manipulative convincer but after every video of his i agree with absolutely everything he said..
AND AN APOSTRPOPHE IS DEFINITELY A LETTER
10:17
i’m so honored by this mention
My head is spinning from the (humorous) facts about the dozenal system. "This must be nearly done", I say to myself. "He can't have much more about dozenal to say, can he?"
The first finger on the monkey's paw curls.
"At this point, I'm going to break character and ask the question you should be asking right now."
Oh thank God, he knows how frustrating and confusing this is.
"Why did I stop at fourths?"
You're a cruel man.
lmao
@Musikbibliothek exactly, like the answer in life and what it all means is literally written on everybody's forehead. Just go look in the mirror
@Musikbibliothek you have found the answer my friend
@Musikbibliothek Yea, you're right in a way, there are also other factors that come into play, like for example if this is the first time a person comes across this kind of topic (like me, I have never heard of this stuff, and it was quite the "brain tickler"), but that doesn't mean I won't understand it, I just need to have a moment to actually sit down and concentrate on it.
P.S. I genuinely like how you wrote as if you're writing a letter.
Have a great day, Antoni
if I had been listening to this out loud the information would've gone into one ear and out the other. but, since I'm using headphones, half of the information came through both ears and then knocked around in the empty chasm of my mind. once I remove my earbuds I'm afraid the pressure all this information has formed within my head will rush forth from my ear and possibly damage my eardrum. as you can see you've put me in quite the precarious situation.
as for the joke, it would have gone over my head but it also tried to enter directly into my brain, but it was too dry to pass through my head hole and I believe it has lodged itself somewhere within my ear canal.
you should be receiving an email from my lawyer within the next 24 hours detailing the lawsuit I am currently filing against you for the internal and external bodily harm this video has caused me.
This Is gold and terribly underrated
Use seximal anyway
@@mariafe7050 lol
Drunk at 5am and I understand everything you says ; love it
When your semester starts in two weeks and TH-cam is alresdy loading your brain w math vomit slushies at 4 in the morning
"there's no objective reason to treat thirds as being less important then fifths"
Musicians: _well..._
Octaves: *I am 4 parallel universes ahead of you.*
Oh no how would intervals work in seximal
There would be 11 notes in an octave
Music theory has needed a facelift for a long time, and an octave _does_ have a dozen semitones...
But a perfect fifth is a proportion of 3:2 and is only called a fifth because of confusing inclusive counting. A major third has often a proportion of 5:4 in just intonations but is objectively less used to tune than fifths. So 3 wins.
"If you're like most people, you've been using base 10"
Me as a programmer: 2, take it or leave it.
That's still base 10, though. You just say it differently.
u mean base 0b10
I see your 2 and raise you 16
@@gizoginjr bro, russian speak english, they just say things differently
Base 10 should really be called base A.
Base 16 should really be called base G.
The first 5 minutes (almost exact) felt like a fever dream
This video is a 5/10 just 1 point of a perfect score
I just realized every system is base-10, you just say it differently
Except unary.
@@mariafe7050 why?
one one one one one one
is six in base ten, you just say it differently
@@shohamziner But it's not written as 10 it's 111111
only if you use 0. in high school I created a base 4 system that went like 1 2 3 4 11 12 13 14 21 22 23 24 ... 10 didn't make any sense in that kind of system
That's kind of like saying "every language is English, you just say it differently" - just because base-10 is the standard we use, its not inherently more fundamental to math than base-12 or base-6 would be
This man sounds way too hyped up about this thing that it makes me have to listen to the rest because if I dont I feel like a bad friend for someone I dont even know.
That's how he gets you
We used base 16 representation in computer speak. Base 8 and base 64 also. The imperial system is based on repeated division of two. For auto machinist works well. Binary is repeated multiplication of two. Very compatible.
thanks for your perspective
Love how the ending melody is created by using the decimals as notes in the major scale. 6/6
Damn that's genuis
The "6" symbol doesn't exist in seximal.
You mean "10/10"
(Or 14/14)
I noticed that too! I'm wondering if there are similar connections in other videos?
I just finished "There are 48 regular polyhedra" and can't shake the feeling that the music is somehow related, but I also can't quite figure it out
Thank you for pointing that out, I missed it!
"Just so we're on the same page here, you're wrong."
you've actually convinced me, thank you
i can count up to 9 on each hand, so with one hand for the tens place and one hand for the ones place i can count to 99 on my fingers in base 10. 0 is a closed fist, 1-4 are counted index to pinky with the thumb down, 5 is an open hand, 6-9 are counted thumb to ring finger with the pinky down. i started using this system as a way to keep track of long rests in band
I've been a fan of dozenal for quite some time now but I have to admit this is the first counterargument to dozenal I've seen that actually brings up some really solid points.
304 likes but no replies? Damn bro!
(that's 1224 in seximal)
Eventually you'll dig deeper. Try tons of other bases, factoring repunits, and dividing by arbitrary integers
Thirsy is the cutest thing I have ever heard
I somehow really want to give that number water
@@epingchris ... I don't fully remember what this is about but yeah, I wonder why
@@byrontheusurper6505 Thirsy ~ Thirsty
I give my friends a similar Ted talk, but I prefer octal. Great video, glad I found your stuff recently.
The fact i stumbled on this guy five times bc of the algorithm makes me NEED to subscribe
Almost perfect, only needed more binary
1/10
hey, at least its still 50% rating
Brendan White 110010/1100100
@Brendan White It's actually still 10%, because % means per hundred. in case of binary, 100 is four and 10 is two.
@@taufiqutomo That would be 2%... one hundred in binary is 1100100: 64 + 32 + 4 = 100.
@@taufiqutomo 100 is 4 doesnt mean a hundred is 4
If you wanted to use base-5040, you could give each of them a kanji.
No there are only 2136 kanji used in Japanese
@@YamamotoTV2021 multiple meanings
you forgot 5040 is too big
2χεχ, 2χεε, 2ε00!
(passes out)
@@YamamotoTV2021 uh... rotation?
1:08 If that's a Candadian joke I'm gonna explode.
this is the funniest math presentation I've ever seen.
Came for conlang stuff, ended up watching a thirsy minute video on math
edit: fixed number
thirsty
@@Envy_May I'm very thirsy for some water
18 is thirsy
thirsy three is 21 (3x6+3)
Conlag team
Sauron Gorthaur yes I spent the past 2 minutes checking the math and you are right, though I am significantly confused though a little less so but still a lot.
"And if it ends it's divisible by one"
(Sad pi noises)
r/IAmVerySmart: First time?
If »integer« ends
You know what there are, right?
integer.
Wtf lol
this helps me sleep at night
There were 240 pence in a pound, which is really nice. Id go one further and use base 420, now you can divide easily by 1,2,3,4,5,6 even 7. And 10 and 12.
0:00 dozenal guide
3:56 why dozenal doesn'tal
4:51 a better way to count
5:32 six is a small number
8:44 most people have 14 fingers
10:30 six is an antiprime
16:54 conclusion
great! now i can rewatch it until my mind actually comprehends the whole thing and not just... most(?) of it
"Most people have 14 fingers"
It took me a while to get it
@@ericgolightly8450 same
@@ericgolightly8450 i found it funny the way he changed bases through all the video
Thanks
For whatever reason "and if it ends it's divisible by one" made me laugh so hard my throat hurts now. Impecable comic timing.
And really thats how divisibility by 1 works!!!!
14:38 😂 "just so we're on the same page here, you're wrong."
It seems like every time I come back to this video, I have something new to add. Base 10 may come from how many fingers we have, but so does base 6. We have two base 6 "digits" at our disposal. On one hand, you can count 0, 1, 2, 3, 4, 5, and then wrap back to 0, and put 1 up on the other hand.
Edit: So *that's* why I didn't mention that in a previous comment. I forgot it was already mentioned in the video.
"There's no objective reason to treat thirds as less important than fifths"
Music nerds: "am I a joke to you?"
Thirds are more important than fifths in music though (or at least in chords). That's why fifths get dropped all the time. Thirds give the chord color, the 5th just repeats information already widely available in the root.
RoundPiano but fifths are ~perfect~
@@AlexE5250 That's true!
Also, triplets. And compound meter.
Are you telling me you wanna go with a numbering system that makes 5:4 easier to use than 12:8? If so, you do not have my vote in the upcoming election.
@@rupen42 there are many many genres of music that regularly don't use thirds in their chords, for example most rock, punk, metal, etc. These genres do care about fifths however, as the structure is mostly power chords, a chord with just a fifth and no third
Feels like a fewer dream
just use base 100! and now you can accurately tell if a number is divisible by any number below than or equal to 100