a base-neutral system for naming numbering systems

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  • Опубліковано 23 гру 2024

КОМЕНТАРІ • 3,3 тис.

  • @kate-os5ww
    @kate-os5ww 3 роки тому +4590

    the baker's dozenal thing comes from a joke base 13 proposal i made a few years back, youtube won't let me post links but its linked from the original base name page which is in the video description

    • @felipevasconcelos6736
      @felipevasconcelos6736 3 роки тому +103

      You’re their friend Kate? Would love to also see that English Cyrillic page that has been down for years. Does it still exist somewhere?

    • @KelniusTV
      @KelniusTV 3 роки тому +216

      Have you considered "pandozenal", Since panem means bread in Latin (and pan is bread in Spanish [and maybe some other Romance languages, but I don't speak Spanish I just use Duolingo, don't at me])?

    • @thezipcreator
      @thezipcreator 3 роки тому +69

      @@KelniusTV pan also means grain in Toki Pona

    • @weirdlanguageguy
      @weirdlanguageguy 3 роки тому +45

      @@KelniusTV panem is the accusative case of panis, btw

    • @h-Films
      @h-Films 3 роки тому +3

      hinal

  • @defenestrated23
    @defenestrated23 3 роки тому +4533

    I love how this constantly pings between "wow that's super intuitive and well-thought-out, I can see papers written with these terms" and "I'm pretty sure Jan Misali is shitposting right now".

    • @blablabla4513
      @blablabla4513 3 роки тому +526

      Aka the feeling you should get from every Jan Misali video should be somewhere between academic paper and shitpost.

    •  3 роки тому +247

      I just want to see baker's dozenal in an academic paper

    • @PROPLAYEN
      @PROPLAYEN 3 роки тому +153

      @ bikers dozenal

    • @nycki93
      @nycki93 3 роки тому +17

      if you enjoy academic shitposting, also check out Tom7.

    • @tilde7220
      @tilde7220 3 роки тому +154

      "seximal is used instead of senary because senary isn't reminiscent of six"
      ok that makes sense
      "thirty-six is niftimal"
      ???

  • @talideon
    @talideon 3 роки тому +2045

    This is only slightly less complicated than counting in Danish.

    • @LFSDK
      @LFSDK 3 роки тому +31

      -sure danske lyde-

    • @emdivine
      @emdivine 3 роки тому +134

      I hope whoever let Danes and French near numbers got thoroughly spanked :P

    • @zackchristvevo
      @zackchristvevo 3 роки тому +166

      @@emdivine Okay the french might say ""four twenties and thirteen", but confusing so "four-twenty-thirteen"" but the danes say ""half-five (that's four and a half lol) twenties and three" - and wait, let's make that an abbreviation, like "half-five-s and three (the -s means twenty lol)", but that's not convoluted enough, so we say "three and half-five...-s" i gUeSs tHaT'LL d0 LoL xD"

    • @emdivine
      @emdivine 3 роки тому +44

      @@zackchristvevo Well described! I'm quite aware of the silliness present in both languages, and I know Danish is very much the most chaotic one :P But I also like to take the opportunity to laugh at French which half-way gave up when making up the names for numbers above 60

    • @gergelygalvacsy2251
      @gergelygalvacsy2251 3 роки тому +25

      @@zackchristvevo Half five meaning four-and-a-half actually makes sense to me lol. In my language, Hungarian, when talking about time, “4:30” (as in half past four o’clock) is referred to as “half five”, and so on. It is a weird coincidence.

  • @MACIEJ454545
    @MACIEJ454545 3 роки тому +466

    This is so delightfully organic that I can imagine someone complaining about learning all of it's rules in school

    • @ledocteur7701
      @ledocteur7701 2 роки тому +16

      yeah, that my problem with this system, okay, having to know base 10 to understand what another base means is silly, but if I was an alien that didn't knew base 10 I'll much rather learn base 10 to understand another base name, than remember all those semi-random rules.

    • @Luigicat11
      @Luigicat11 2 роки тому +41

      @@ledocteur7701
      Which 10 are you talking about? Every base is base 10. That's literally the entire point of the video. Were you even listening?

    • @ledocteur7701
      @ledocteur7701 2 роки тому +13

      @@Luigicat11 base 10 as in base decimal, or base gesimal if you are using his system.
      and yes, I was listening, thank you for asking.

    • @Luigicat11
      @Luigicat11 2 роки тому +8

      @@ledocteur7701
      You're welcome, self-liker.

    • @rainbowkittycat627
      @rainbowkittycat627 Рік тому +12

      @@Luigicat11they brought up a valid criticism of the video, you didn’t have to insult them 😭

  • @Ruminations09
    @Ruminations09 3 роки тому +1326

    I thought "Baker's dozenal" was peak comedy, but I was a fool who who had yet to see the truth of "Biker's dozenal".

    • @theapexsurvivor9538
      @theapexsurvivor9538 3 роки тому +143

      Followed by the beauty of sexer's dozenal.

    • @felipevasconcelos6736
      @felipevasconcelos6736 3 роки тому +92

      @@theapexsurvivor9538 there’s no sexer’s dozenal. It’s hexaker’s dozenal.

    • @yaitz3313
      @yaitz3313 3 роки тому +109

      Triker's dozenal. Which I suppose is a baby biker's dozenal.

    • @mozarteanchaos
      @mozarteanchaos 3 роки тому +12

      @@felipevasconcelos6736 :(

    • @ValkyRiver
      @ValkyRiver 3 роки тому +46

      For counting in baker's dozenal, the words instead of "eleven", "twelve", and "thirteen", can be "jack", "queen", and "king".

  • @DarkShadows713
    @DarkShadows713 3 роки тому +820

    When I was a preteen, I watched an episode of iCarly where the main character pranked an unruly child by convincing him the math board had created a new number between 5 and 6 called "dorf," convincing him to do his entire math test in an elevenary system. That was my first exposure to the concept of a non-decimal number system, and ever since then I have been obsessed with number systems.

    • @MrCrashDavi
      @MrCrashDavi 3 роки тому +17

      i need to watch iCarly

    • @rauhamanilainen6271
      @rauhamanilainen6271 3 роки тому +91

      After all these years since watching that episode, derf always lay at the back of my mind, waiting for someone to mention it once again.

    • @lewislockwood9402
      @lewislockwood9402 3 роки тому +128

      that episode always annoyed me because he (at like age 12) is clever enough to immediately perform calculations in base 11 in his head but apparently he needed carly as a tutor !

    • @DarkShadows713
      @DarkShadows713 3 роки тому +34

      Lewis Lockwood It's been a while since I've seen the episode, but I thought he pretended to need help in math to have an opportunity to bully Spencer?

    • @lewislockwood9402
      @lewislockwood9402 3 роки тому +20

      @@DarkShadows713 My memory was that he just bullied Spencer to pass the time in between tutoring but it's also been ages since I last watched the episode

  • @cbling1422
    @cbling1422 3 роки тому +648

    The effort you put into this is pretty unbelievenary.

    • @kayakMike1000
      @kayakMike1000 2 роки тому +1

      Hahaahahahaha

    • @_fedmar_
      @_fedmar_ Рік тому +3

      GAWD DAMMIT THAT'S SOME GOOD ASS SHIT RIGHT THERE RIGHT THERE 👌👌👌

    • @wilyriley_
      @wilyriley_ Рік тому +1

      it’s pretty DEC23? what’s so DEC23 about it? /j

    • @rudyandnoodle_tm8054
      @rudyandnoodle_tm8054 5 місяців тому

      @@wilyriley_ you mean "/hj"???? /j

  • @ObsessionistVideos
    @ObsessionistVideos 3 роки тому +1058

    This is bonkers and I really want an undergrad professor to gaslight their students into thinking it's accepted practice

    • @ookazi1000
      @ookazi1000 3 роки тому +139

      It's not gaslighting if getting enough people to believe you actually makes it true /j.

    • @normanclatcher
      @normanclatcher 3 роки тому +46

      It's not gaslighting if you're paying obscene amounts of money (and/or going into debt) to learn it as truth, no matter how suspect said knowledge could be in real-world contexts.

    • @normanclatcher
      @normanclatcher 3 роки тому +37

      TL;DR gaslighting != gaslighting.
      Ignorance is strength, war is peace, freedom is slavery.
      Big Brother is watching me.

    • @defenestrated23
      @defenestrated23 3 роки тому +62

      How do you think things actually *become* standard practice? In 50 years, this *will* be the canonical naming scheme for base notation, simply because one didn't exist, and this filled the void.
      Which means that math papers on fractional radix will contain a ridiculously obscure in-joke.

    • @ookazi1000
      @ookazi1000 3 роки тому +4

      @@normanclatcher "/j" stands for /joke.

  • @robbiecoombes1649
    @robbiecoombes1649 3 роки тому +1060

    when you trick yourself into liking maths by treating it like linguistics

    • @crumble2000
      @crumble2000 3 роки тому +181

      When you trick yourself into liking linguistics by applying it to maths

    • @Somber_Knight
      @Somber_Knight 3 роки тому +107

      when you trick yourself into liking maths and linguistics by watching jan misali

    • @failedsocialexperiment2382
      @failedsocialexperiment2382 3 роки тому +11

      @@Somber_Knightl̥̝̟̹̚ĩ̪n̯̈ɡ̰̪̰̬̥̩̤̬̥̪̃̃̃̃̃̃̃̃̃̃̈̚ʷ̰̃˞u̪̰̚˞̃sti͜͜͜͜͡͡͡c˞s̬̆ hosted by t̪θ ŋɔʃθɑʎɣɪɑ çritiɕ

    • @iantaakalla8180
      @iantaakalla8180 6 місяців тому +6

      When you trick yourself into watching jan Misali by learning math and linguistics exhaustively

  • @WhirligigGirl
    @WhirligigGirl 3 роки тому +974

    I hope it's not lost on you that this naming system is effectively a generalized baseless counting system. And that is way cooler than just the fact that it is a way of describing bases.

    • @samellis1055
      @samellis1055 2 роки тому +26

      Good point!

    • @richardpike8748
      @richardpike8748 2 роки тому +9

      Great catch

    • @beanbagburrito
      @beanbagburrito 2 роки тому +2

      Fr

    • @timewave02012
      @timewave02012 2 роки тому +59

      I was hoping that was going to be some sort of punch line, where instead of the thumbnail "every base is base 10", the conclusion is that "every number is 10".

    • @BigGovernment1984
      @BigGovernment1984 2 роки тому +33

      wouldn't it be base-infinity as every base has its own unique name?

  • @tomc.5704
    @tomc.5704 3 роки тому +1898

    The fact that terrible bases have names like suboptimal, unbielevenary, and baker's dozenal is just SO GOOD

    • @635574
      @635574 3 роки тому +60

      Your likes are bakersdozenal, perfectly balanced as all things should be

    • @PibbDFanta
      @PibbDFanta 3 роки тому +19

      Cannot like, likes are a prime number (which would have a name like this)

    • @KaosFireMaker
      @KaosFireMaker 3 роки тому +13

      Your current number of likes is 10 in unbielevsnatetraseximal

    • @CarMedicine
      @CarMedicine 3 роки тому +7

      @@KaosFireMaker it would actually be unbi *leva* snatetraseximal
      (the prefix of elevenary is -leva-)

    • @upseguest
      @upseguest 3 роки тому

      Why are they terrible?

  • @amythistfire7
    @amythistfire7 3 роки тому +2956

    Jan: Senery is bad because it sounds like a different, unrelated word
    Also Jan: Niftimal is good because it sounds like nifty

    • @annyone3293
      @annyone3293 3 роки тому +403

      Oh yeah, and “seximal” definitely doesn’t sound like some other unrelated word. :D

    • @byronlopezellington8839
      @byronlopezellington8839 3 роки тому +225

      Their name is not Jan, "jan" is just the prefixal noun used for names in the conlang Toki Pona.
      Great comment though, you are very right xD

    • @pentelegomenon1175
      @pentelegomenon1175 3 роки тому +132

      @@byronlopezellington8839 also "jan misali" rhymes with "ron weasley"

    • @theapexsurvivor9538
      @theapexsurvivor9538 3 роки тому +53

      @@annyone3293 nor doze dozenal. Especially not in baker's dozenal, biker's dozenal, triker's dozenal, and sexer's dozenal.

    • @j3011
      @j3011 3 роки тому +5

      But they're not unrelated

  • @MateusSFigueiredo
    @MateusSFigueiredo 3 роки тому +252

    "having spoken parentheses like this is a kinda unnatural thing to do"
    Chemists naming molecules are like "what do you mean unnatural"?

    • @disgustof-riley
      @disgustof-riley 3 роки тому +13

      If it's scientific, it's natural /j

    • @DeJay7
      @DeJay7 3 роки тому +1

      @@disgustof-riley if /s is for sarcasm, what is /j for? just kidding? /j

    • @nate_storm
      @nate_storm 3 роки тому +5

      @@DeJay7 joking. afaik there’s really no difference between /s and /j idk when or why people started using the latter

    • @MarxismLilyism
      @MarxismLilyism 2 роки тому +16

      @@nate_storm hi im a month late but typically sarcasm denotes a more condescending or potentially rude tone, while “joking” is more light hearted

    • @nate_storm
      @nate_storm 2 роки тому +4

      @@MarxismLilyism if joking is light hearted then what’s /lh

  • @deet0109mapping
    @deet0109mapping 3 роки тому +1267

    “fortunately, the name ‘seximal’ is completely clear, and nobody would ever misinterpret it as referring to anything other than base six”
    - jan Misali, 2021

    • @General12th
      @General12th 3 роки тому +30

      "siximal" :)

    • @felipevasconcelos6736
      @felipevasconcelos6736 3 роки тому +83

      Actually, the “jan” is lowercase, because it’s not part of their name. It’s a honorific for humans.

    • @Salsmachev
      @Salsmachev 3 роки тому +49

      ​@@felipevasconcelos6736 I'd capitalise Mr./Ms./Mx. so I'd capitalise Jan too. Toki Pona doesn't even have capitalisation in its proper script, the Toki Pona syllabary, so we should just apply the rules of Latin script.

    • @felipevasconcelos6736
      @felipevasconcelos6736 3 роки тому +69

      @@TheZenytram “toki” is just “language”, “speech”, or “talk” in toki pona, so it sounds like you’re saying “we’re talking in English not a language”.
      Back to the argument, Misali writes their own name as “jan Misali”, sometimes omitting the jan. When used in English, “jan” may be considered part of their name, but it’s still written in lowercase. If Apple can get away with iPhone, Mitch can get away with “jan Misali”.

    • @felipevasconcelos6736
      @felipevasconcelos6736 3 роки тому +36

      @@Salsmachev in toki pona, proper names (and only proper names) are usually capitalized. Capitalizing “jan” would look weird, like if I said Gary Oldman, referring to any old man named Gary.

  • @lunkel8108
    @lunkel8108 3 роки тому +475

    I like the incredibly long base names tbh, they have the same vibe as IUPAC names for large organic compounds

    • @qwertyTRiG
      @qwertyTRiG 3 роки тому +72

      They put me in mind of that too. But at least these don't have embedded digits and commas.

    • @iuscactus
      @iuscactus 3 роки тому +43

      Honestly when he showed the three-letter abbreviations, I couldn't help but think of amino acids

    • @warbler4954
      @warbler4954 3 роки тому +14

      The abbreviation system looks like something railways and aviation use to shortern their station/airport names. Maybe his code can help next time?

    • @Isometrix116
      @Isometrix116 3 роки тому +25

      Ill have you know that (6E,13E)-18-bromo-12-butyl-11-chloro-4,8-diethyl-5-hydroxy-15-methoxytricosa-6,13-dien-19-yne-3,9-dione is a perfectly natural way to phrase a chemical name (C32 H52 BrClO4)

    • @qwertyTRiG
      @qwertyTRiG 3 роки тому +9

      @@Isometrix116 I used to understand IUPAC organic chemistry names. I actually have a degree in chemistry, but it's been almost a decade since I graduated.

  • @erik.isomer
    @erik.isomer 3 роки тому +428

    This man solved a problem nobody had, in a way nobody wanted, simply because he could. And for that, we commend him
    Thank you

  • @meowtherainbowx4163
    @meowtherainbowx4163 3 роки тому +175

    Everyone’s laughing at “baker’s dozenal,” but here I am with my mind blown at how he could not only reference Vötgil but find a practical use for the clumsy “vöt-“ prefix.

  • @tokiWren
    @tokiWren 3 роки тому +292

    "The names of base-x number systems are confusing. This is why I will be constructing an entire language to name them."

    • @RichConnerGMN
      @RichConnerGMN 3 роки тому +6

      nice pfp

    • @chrisg3030
      @chrisg3030 3 роки тому +1

      I've been arguing we don't need new names, we could simply name any base after its top single digit, the symbol conventionally used to designate the maximum quantity before we start carrying or doubling up. So what we currently call decimal or denary or whatever is now base 9, seximal or whatever is base 5, duodecimal base B, hex base F.

    • @weir9996
      @weir9996 3 роки тому +2

      @@chrisg3030 But I don't think there is a standard for representing the highest digits for an arbitrary base, is there? So we would need to create a standard for that anyways, plus then decimal becomes base ten and binary becomes base one, which is a tad confusing to people used to the old way

    • @chrisg3030
      @chrisg3030 3 роки тому

      @@weir9996 I don't see the problem. The standard for the highest digit in any base is simply whatever is in some kind of generally recognized use as such. F for example is the top digit for hex as far as my Casio calculator is concerned, which is good enough for me, though doubtless there are people who prefer other characters. We know it's the top digit because when you enter F + 1 you get as an answer not another single digit but the recycled pair 10.
      This brings me to the main point of my suggestion. It's meant as a third alternative to calling it a verbal name like, say, hexadecimal, or favoring decimal as a standard by calling it base 16.
      I think you meant decimal becomes base 9, like binary becomes base 1. Yes that's confusing, so I'm not seriously challenging the "old way". Mind you my suggestion would mean what is often understood as unary or base 1, or a tallying system, would now become base 0. But that's kind of appropriate, since the position of a tally digit in the string doesn't affect its value. Or the number of things counted minus the number of digits equals zero, unlike higher bases.

  • @myotiswii
    @myotiswii 3 роки тому +489

    Me and a friend of mine were working on base infinity system. Basically every number only has one symbol and unique, and we had a spreadsheet that went into the (decimal)thousands.
    It still was somewhat systemised, meaning that numbers that are close use similar symbols and sounds.
    It was absolutely ridiculous but actually more usable then you would think. We both remembered the symbols until like (decimal)2000, and you rarely need anything above that.
    I know that an infinitesimal system is absolutely insane.
    But really big systems would actually be ok, I think.

    • @chrisg3030
      @chrisg3030 3 роки тому +47

      Great experiment! I've often thought along the same lines, how would it be if you always come up with a new symbol for every new quantity counted. After running out of the familiar Indo-Arabic numerals maybe you go on to uppercase letters, then lower case, then other keyboard symbols, maybe other alphabets like Hebrew, then emojis (enormous number of them these days), then flags of all nations? However similar any symbol might be to another, there could be no rule for deriving it, its use would always be arbitrary. Then one day you'd crack and say to hell with this, I'm going to express the next numbers by recycling symbols already used. At that point and only then you have a base.
      At the other end of the scale if you were for ever using one and the same symbol to count with, say #, just adding it to the string of #s already there (unary or tallying), your "to hell with this" moment would arrive when
      you do come up with a new single symbol to express and replace that long string, and again only then would you have a base.

    • @myotiswii
      @myotiswii 3 роки тому +41

      @@chrisg3030 Oh emojis are so smart. We just made squiggels and shapes. Some system was in there. I remember from like 223 - 4** was very flowy and after that for a few hundret was very straight lines. But emoyis would have made it typable.

    • @torreywhiting5402
      @torreywhiting5402 3 роки тому +2

      #s

    • @thatoneguy9582
      @thatoneguy9582 3 роки тому +34

      -bro show us the spreadsheet-

    • @melitopiia4730
      @melitopiia4730 3 роки тому +29

      *SHOW US THE SPREADSHEET*

  • @MissPoplarLeaf
    @MissPoplarLeaf 3 роки тому +1182

    I laughed out loud at 17 being "suboptimal". Brilliant

    • @1224chrisng
      @1224chrisng 3 роки тому +34

      Gauss is rolling in his grave

    • @aaronnichols4120
      @aaronnichols4120 3 роки тому +108

      Also both bielevenary and unbielevenary, pronouncing it like "believe"

    • @aaronnichols4120
      @aaronnichols4120 3 роки тому +57

      And bikers dozenal 😂

    • @Aquadolphin314
      @Aquadolphin314 3 роки тому +3

      I swear I did too, for several seconds!

    • @colerougas5137
      @colerougas5137 3 роки тому +3

      Literally had to pause the video, was not expecting that

  • @arcynic-education3221
    @arcynic-education3221 3 роки тому +289

    I agree with every thing except for the baker’s dozenal. Calling it Undozenal is so much better: it demonstrates the un- suffix in the case of prime numbers, you don’t have to use the awkward -ker, and you don’t need to know special pastry knowledge to decypher it. It also goes well with your generally philosophy of not wanting to cause confusion.

    • @blablabla4513
      @blablabla4513 3 роки тому +63

      I think you missed the joke.

    • @arcynic-education3221
      @arcynic-education3221 3 роки тому +40

      ​@@blablabla4513 Seems like I did now that I read the newly pinned comment

    • @IloveRumania
      @IloveRumania 2 роки тому +10

      Thirteen is called a baker's dozen, so it makes sense.

    • @kindlin
      @kindlin 2 роки тому +8

      @@arcynic-education3221 I'm not privy to the joke, myself, but I could tell, after having watched 10+ jan videos, that his dry humor was coming through.

    • @nouche
      @nouche Рік тому +4

      @@kindlin: His username is Misali!

  • @heck_n_degenerate940
    @heck_n_degenerate940 3 роки тому +455

    I must now make it my quest to learn the sacred mathematics of *suboptimal.*

    • @MCredstoningnstuff
      @MCredstoningnstuff 3 роки тому +25

      In the same way that decimal has properties relating to 3 and 9, I'll bet that suboptimal has properties with all powers of 2 up to 16 which would be pretty cool.

    • @meta04
      @meta04 3 роки тому +16

      @@MCredstoningnstuff yeah, every base has properties similar to decimal 9 for the base minus one, which I've seen called the "omega" in some circles with the "alpha" being the base plus one
      so suboptimal's omega is 16, which has similar properties to decimal 9
      alpha is 18, which behaves like decimal 11
      and the *square* alpha is 290, which has the same alternating-sum properties as decimal 101 (oh right you literally can't get worse than square-alpha for fives)

    • @boldCactuslad
      @boldCactuslad 3 роки тому +14

      why learn everything in 27 when you can learn -1/27

    • @anxez
      @anxez 3 роки тому +3

      @@MCredstoningnstuff Not very suboptimal of it, now is it?

    • @ferociousfeind8538
      @ferociousfeind8538 3 роки тому +12

      Representing 1/2 in suboptimal (assuming 0-9 + A-G for numbers) would look something like 0.8888888...
      1/3 in suboptimal would be... 0.5B5B5B...
      1/4 in suboptimal would be 0.4444444...
      1/8 would be 0.22222222...
      1/16 would be 0.11111111...
      So, yeah, has some of the properties of hex, but kind of in a useless infinitely-repeating form, the way 1/9 is 0.111111 in decimal.

  • @polifemo3967
    @polifemo3967 3 роки тому +88

    this is one of those videos where I start out thinking "oh yeah, I've tried something like that before, wonder how he did it" and then three minutes in its gone waaaaay past anything you could have imagined.

  • @disfordumboo4411
    @disfordumboo4411 2 роки тому +18

    “the last thing i want is for people to hear me talking about base six and think im actually talking about something completely unrelated. so that’s why i call it seximal”
    i adore jokes like this delivered the way misali does and sometimes with little things like that i just can’t help but be in awe of how the ridiculous amount of content on the internet leaves each of us with that handful of creators who make the exact style of content that just makes us happy it exists. what a cool world

  • @andzagorulko
    @andzagorulko 3 роки тому +619

    To summarise the video:
    - In what base are you counting.
    - Base 10.
    - Do you have the slightest idea, how little that narrows it down?

    • @chrisg3030
      @chrisg3030 3 роки тому +14

      - In what base are you counting?
      - I call it base 9
      - How does that narrow things down?
      - 9 is the top or max digit in what we currently call decimal, denary or whatever, using the conventional symbols 0 1 2 3 4 5 6 7 8 9. Duodecimal is now base B, hex is base F, as these too are widely recognized single symbols which can precisely specify top digits, enough to uniquely designate a base without using any other base.

    • @eomoran
      @eomoran 3 роки тому +3

      @@chrisg3030 hex uses lowercase letters so someone might think you’re talking about base 42

    • @chrisg3030
      @chrisg3030 3 роки тому +4

      @@eomoran It's not so much that hex uses certain letters as we humans use them, but by no means universally or consistently. I just said "widely" in my comment.
      Having said that, on my Casio calculator when using the hex function you have no alternative but to enter uppercase into the register top left in the display, say 5Bx1, but you always get an answer back in lowercase, 5b. I don't know why.

    • @antonliakhovitch8306
      @antonliakhovitch8306 3 роки тому +1

      While impractical in real life (as literally all of this is), another proposal is to always default to binary for base names. Binary is the smallest base and therefore is inherently special. Plus, you could arguably call it the most used number system on the planet.

    • @lu_ck
      @lu_ck 3 роки тому +1

      @@antonliakhovitch8306 base 1?
      0 = 0
      00 = 1
      000 = 10
      0000 = 11
      00000 = 100
      ...

  • @Aquadolphin314
    @Aquadolphin314 3 роки тому +396

    No one has yet mentioned the sheer genius of "unbielevenary", so I will.

    • @validpostage
      @validpostage 3 роки тому +27

      I lost my marbles at that one

    • @tanyaomrit1616
      @tanyaomrit1616 3 роки тому +24

      Not to mention that it's for "base 23" lol

    • @driveasandwich6734
      @driveasandwich6734 3 роки тому

      @@tanyaomrit1616 Why is that funny?

    • @tanyaomrit1616
      @tanyaomrit1616 3 роки тому +10

      @@driveasandwich6734 The whole 23 conspiracy theory thing

    • @driveasandwich6734
      @driveasandwich6734 3 роки тому +2

      @@tanyaomrit1616 Oh, I didn't know about that one

  • @webx135
    @webx135 3 роки тому +185

    Unary, base 1, would be an interesting one. Basically it has one value, and that value doesn't increase with the number of digits since each place is only multiplying by one.
    So it's basically tally marks.
    12 in Decimal would be 111111111111 in unary.

    • @SreenikethanI
      @SreenikethanI 2 роки тому +12

      how do you do padding tho? like how in decimal we can write 23 = 023 = 0023 = 00023 = 0000...
      but this wouldn't be possible in unary... right?

    • @sirk603
      @sirk603 2 роки тому +25

      No it would be 000000000000

    • @Tuberex
      @Tuberex 2 роки тому +10

      @@SreenikethanI That wouldn't be possible since unary is not really a number system it's more like the length function

    • @quinn7894
      @quinn7894 2 роки тому +18

      That's bijective unary. Normal unary just involves the digit 0 and it's impossible to write any number that isn't zero.

    • @JonathanMandrake
      @JonathanMandrake 2 роки тому +11

      Unary has a number of big problems.
      0 can't be written unless by using empty space, which is problematic for a huge number of reasons.
      Fractions can't be written as floating point numbers, since I.I= 1 × 1^0 +1 × 1 ^ -1 = 2 = II where you can see that all floating point numbers are whole numbers in unary. This is pretty horrific for dealing with irrational numbers, like Sqareroots, but even worse for unalgebraic numbers like e and pi.
      Last, it is pretty bad visually. Unless you connect each five with the fifth tick, it is pretty horrendous to count which number it is, and if you use tick marks, it is a worse version of Base 5

  • @miniman3112
    @miniman3112 3 роки тому +224

    There is a chemistry joke hiding in "base-neutral"

    • @tracerbullet1741
      @tracerbullet1741 3 роки тому +38

      plot twist: the real chemistry joke was the IUPACnomenclature parody

    • @erik.isomer
      @erik.isomer 3 роки тому +16

      @@tracerbullet1741 lol this system is magnitudes less complicated than iupac

    • @iantaakalla8180
      @iantaakalla8180 3 роки тому +1

      Then what is the equivalent language equivalent for something “acid-neutral”?

    • @tommarnt
      @tommarnt 4 місяці тому

      @@iantaakalla8180 acid minus neutral is base

  • @Hans-jc1ju
    @Hans-jc1ju 3 роки тому +270

    jan Misali: “Dozenal users don’t like it if it is called duodecimal because this is defined via 10 and does not give them their own identity.”
    also jan Misali: “base 17 is suboptimal or mal-“

    • @felipevasconcelos6736
      @felipevasconcelos6736 3 роки тому +131

      I’m pretty sure all zero of suboptimal users are very happy with that name.

    • @IONATVS
      @IONATVS 3 роки тому +53

      since the only people who suggest using base seventeen are doing so as a joke, I don’t think there’ll be many complaints.

    • @FinetalPies
      @FinetalPies 3 роки тому +59

      It is morally correct to bully people who prefer suboptimal

    • @darcieeastham9347
      @darcieeastham9347 3 роки тому +8

      @@IONATVS I guess it's used for coinage in Harry Potter? But even then that's an indirect parody of predecimalised currency (and is also fiction).

    • @meta04
      @meta04 3 роки тому +5

      @@darcieeastham9347 Most of the ways suboptimal is worse than elevenary or baker's dozenal only start if you use it for all the place values and not just one-all of the first five primes have maximal-length repeating periods and 13 has half of the maximum
      actually I wasn't expecting the other one to be untetraseptimal but still that at least has a two-digit fifth and a one-digit seventh

  • @MrSafeTCam
    @MrSafeTCam 3 роки тому +37

    A lot of systems in language have exceptions to rules.
    Base Nif Dozen Four is called Tetraker's Dozenal, which fits the rules. But we might use the Latin quad- prefix rather than the Greek tetra-, just this once, because then when we also abbreviate it wrong, we can call it "Quaker's Dozenal" which is funnier because of some aspect of US history that I do not understand because I'm from Australia.

    • @thewanderingmistnull2451
      @thewanderingmistnull2451 2 роки тому +4

      It boils down to "Quakers are different, can't have that in America". Also, they take swearing vows extremely seriously.

    • @ZBisson
      @ZBisson Рік тому +4

      They make oatmeal too I think.

  • @Dooge
    @Dooge 3 роки тому +459

    I saw the hexadecimal issue a mile away. However, I was pleasantly surprised by biker's dozenal.

  • @JacksonBockus
    @JacksonBockus 3 роки тому +3818

    I’m going to call base 18 “nonbinary” and you can’t stop me.

    • @godminnette2
      @godminnette2 3 роки тому +1107

      Technically every base after base two is nonbinary

    • @CasualMitosisCollective
      @CasualMitosisCollective 3 роки тому +85

      Damnit, man. You got me roflmao-ing.

    • @theapexsurvivor9538
      @theapexsurvivor9538 3 роки тому +942

      I won't try and stop you, I'm too busy calling base 12 biseximal.

    • @JacksonBockus
      @JacksonBockus 3 роки тому +110

      @@godminnette2 You’re not wrong, but I don’t like it.

    • @camwoodstock
      @camwoodstock 3 роки тому +180

      wha??? No biney??? Hardly any biney??? Thatse so cool...

  • @Anonymous-df8it
    @Anonymous-df8it 3 роки тому +42

    Jan Misali: This algorithm can't be done by hand
    Also him: Explains the algorithm in full detail allowing people to work out abbreviations by hand

    • @poudink5791
      @poudink5791 Рік тому +6

      not really. it's not an algorithm that's practical to do by hand at all.

    • @timothymclean
      @timothymclean 4 місяці тому +2

      jan Misali said it's not _designed_ to be done by hand. Any program that runs on a Turing machine can theoretically be replicated by a human with infinite pencil and paper, even a game like _Doom._ (Though your frame rate would be abysmal-maybe try Hovertank first?)

    • @Anonymous-df8it
      @Anonymous-df8it 4 місяці тому +1

      @@timothymclean What would the algorithm look like if it did take that into consideration? Also, how abysmal would the frame rate be, specifically?

  • @jackeea_
    @jackeea_ 3 роки тому +271

    this is the most useless, useful, weird yet oddly practical thing I can see approximately zero people using. great video

    • @SteveBakerIsHere
      @SteveBakerIsHere 3 роки тому +11

      It's not remotely "practical" - or "useful". Anything that requires a complex piece of software to encode and decode (and worse - one with S-L-O-W runtime because it's not an O(N) algorithm) is horribly IMPRACTICAL - it obfuscates unnecessarily. "Practical" is what we actually do: Use "base N" (where N is, by convention, decimal)...and use nicknames for the handful of bases that are actually used in common practice...so we can say "hex" rather than "base sixteen" if we're computer programmers. As I explained in my earlier comment, this entire system (as complex as it is) is missing a whole lot of things that number bases can do - signed digits, for example - and it doesn't tell you what set of symbols to use for digits in bases 11 and above...so you go to all of this trouble to NAME the base of the number - but provides no means to actually write the number down.

    • @coreblaster6809
      @coreblaster6809 3 роки тому +41

      @@SteveBakerIsHere hey steve baker, I think it's pretty impressive you were able to write that whole comment with a stick up your ass, pretty cool👍

    • @cobalius
      @cobalius 3 роки тому +1

      I bet my brother will use that xD

    • @driveasandwich6734
      @driveasandwich6734 3 роки тому +6

      @@SteveBakerIsHere If you want/need a pronounceable, base-neutral system, this is very useful. You would only need the software if the nomenclature has to be standardized, otherwise, using any combinations of factors wouldn't really be a problem.

    • @SteveBakerIsHere
      @SteveBakerIsHere 3 роки тому

      ​@@driveasandwich6734 But the whole premise of that is that it presupposes some dire need for a "base-neutral system". But why do we need that? What's wrong with using base 10 as the default - and calling every base by the simplest, most easily understood system..."base N" (where N is a number that's expressed in base 10 by default).
      That *tiny* piece of convention - has to be weighed against a system so baroque that it needs a complex algorithm to decode it - and a dog-slow algorithm at that.
      Where is this all-important "use case" for an utterly base-neutral system? If it's to somehow eradicate the cultural basis upon which we use base 10 by default - then it fails *HORRIBLY* because it just uses more obscure base10 words. For example, using "sex" or "hex" as a way to say "six" makes no sense if you're trying to work in a base 4 society that has no word for six. This is a solution in need of a problem...and not a particularly good solution at that.

  • @Natibe_
    @Natibe_ 3 роки тому +102

    “Binbinbinbinbinbinoctelevenary”
    This system is perfect

  • @themathmoth7393
    @themathmoth7393 3 роки тому +41

    Fun fact!
    Centesimal is very large, so you would want to break up the digits in the same way you would hexagesimal.
    However when you do this, you notice that the middle factors of 100 are both 10, because it is a square base.
    This means that both sub-digits of a single centesimal digit would be in decimal.
    Thus, when you convert a base 10 number to a base 100 number, you just get back that base 10 number with a few colons mixed in.
    For example: 123456 in decimal, is just 12:34:56 in centesimal!

    • @willsterjohnson
      @willsterjohnson 2 роки тому +3

      so mixed radix centesimal is just paired decimal, that makes conversions really easy, and I assume it works for any base which is a power of 0o12?

    • @themathmoth7393
      @themathmoth7393 2 роки тому +3

      @@willsterjohnson It specifically works this way for any and all square bases (or at least those square bases greater than 36, because those bases can just be written digit-wise normally.)

    • @egon3705
      @egon3705 2 роки тому +2

      same applies to tessahex, 123456789ABCDEF0 in hex is 12:34:56:78:9A:BC:DE:F0 in tessahex

    • @angeldude101
      @angeldude101 Рік тому +4

      Given that many places prefer to put spaces between certain digits for large enough numbers, you could argue that a lot of the time we use decacentesimal (base one-thousand). In fact, SI is more decacentesimal than it is decimal, even though _Metric is_ decimal. Rather than a square-base, this is a cube-base used less for compression and more for mental chunking.

    • @sponge1234ify
      @sponge1234ify Рік тому

      TIL French phone numbers are Base-Centessimal

  • @noemiej.marquis732
    @noemiej.marquis732 3 роки тому +697

    "Every base is base 10, one zero"
    Unary: "Am I a joke to you?"

    • @EnriqueLaberintico
      @EnriqueLaberintico 3 роки тому +74

      Prisoners' system.

    • @zombiekiller7101
      @zombiekiller7101 3 роки тому +4

      @@EnriqueLaberintico lmao

    • @chrisg3030
      @chrisg3030 3 роки тому +51

      @Unknowable One way of making sense of 00 could be to argue that if unary is a tallying system, that is the number of digits you write equals the number of things counted, then 0 is one, 00 is two, 000 three and so on.

    • @i_am_anxious02
      @i_am_anxious02 3 роки тому +9

      @@chrisg3030 that might make it the most intuitive number system asides base 10 for those already accustomed to base 10

    • @tomasbeltran04050
      @tomasbeltran04050 3 роки тому

      @@RTDelete i hate that word

  • @eklectic497
    @eklectic497 3 роки тому +769

    I almost screamed when you got to the vöt bases. Absolutely brilliant

    • @Thatwasademo
      @Thatwasademo 3 роки тому +35

      I was a bit excited

    • @kornsuwin
      @kornsuwin 3 роки тому +11

      holy shit your'e here

    • @MonkOrMan
      @MonkOrMan 3 роки тому +5

      Wait it's that person who did the thing and he's here now wow

    • @oliwyrm
      @oliwyrm 3 роки тому

      is this a fucking crossover episode?

  • @docopoper
    @docopoper 2 роки тому +8

    I love how you went through this whole process to name bases in a way that doesn't assume a base. Then you assigned them short sets of letters to distinguish them... Thus labelling them in base 26.

  • @jmanabc
    @jmanabc 3 роки тому +462

    Requiring knowledge of base 10 to understand the justification behind other numbering systems’ names: ❌
    Requiring knowledge of multiple obscure conlangs and English wordplay to understand the justification behind other numbering systems’ names: 👍

    • @thewanderingmistnull2451
      @thewanderingmistnull2451 2 роки тому +20

      Ndom is a natural language. So is Komnzo.

    • @unknown-mg6rv
      @unknown-mg6rv 2 роки тому +10

      @@thewanderingmistnull2451 ah yes google is so smart, cause ndom is definitely translated to English.

    • @corlinfardal
      @corlinfardal 2 роки тому +10

      @@thewanderingmistnull2451 There are, technically, multiple conlangs involved: Esperanto for the mal- prefix, and Vötgil for the vot- prefix. Of those two, I'd only really consider Vötgil to be particularly obscure - Esperanto at least shows up in things like Google Translate, and I feel like most people who can name more than, like, three languages will have at least heard of Esperanto, even if they couldn't tell you anything about it.

    • @_yalov
      @_yalov 2 роки тому

      if he doesn't want to use base 10 positional notation, easier compromise is to use non-positional notation, for example roman numerals.

    • @tochoXK3
      @tochoXK3 2 роки тому +3

      Roman numerals are also kinda base 10

  • @Zi7ar21
    @Zi7ar21 3 роки тому +557

    "the last thing I want is for people to hear me talking about base six and think I'm actually talking about something completely unrelated"
    *proceeds to name base six "seximal"*

  • @palladianaltruist8047
    @palladianaltruist8047 3 роки тому +11

    "Naming a base after the one right below it is okay"
    *changes base 11's "undecimal"*

    • @Zachyshows
      @Zachyshows 2 роки тому

      At some point, every base would be made up of exclusively un-,hen- and -sna-s.

    • @WhizzKid2012
      @WhizzKid2012 11 місяців тому

      snasnasnasnasnasnasnasnasnasnasnasnasnasnasna

  • @andrewlonghofer
    @andrewlonghofer 3 роки тому +454

    “untriseximal” is no more confusing than “quatre vignts dix-neuf” so I’m on board

    • @Salsmachev
      @Salsmachev 3 роки тому +58

      Have you ever tried singing 100 bottles of beer on the wall (or alternatively cent bouteilles de vin sur le mur) in French? It's significantly funnier.

    • @cursedmailman3999
      @cursedmailman3999 3 роки тому +11

      quatre vingt dix neuf is probably the least confusing name ever, so you're wrong on that. In fact, the reason why it's dunked on so hard is because of precisely that, because it's so simple that it's literally just addition/multiplications.

    • @Salsmachev
      @Salsmachev 3 роки тому +51

      @@cursedmailman3999 Ninety-nine is literally just multiplication and addition too (nine tens and nine). The difference is that ninety nine fits the same basic logic as the rest of the number system to which it belongs. French counts in decimal through 79 and then inexplicably switches to vigesimal. That's why quatre-vingt dix-neuf doesn't make any sense. It's also not very succinct. Neufant neuf is three syllables. Quatre-vingt dix-neuf is almost twice as long without any improvement in clarity. Now if it was just pure multiplication (eg. quatre-vingt for eighty) I feel like that's helpful because it shows you something different about the divisibility, but eighty is basically the only French number that actually takes advantage of that.

    • @mbgdemon
      @mbgdemon 3 роки тому +9

      The use of quatre-vingts is a remnant of an ancient tradition of using base 20 numbering systems, not joking

    • @browncoat697
      @browncoat697 3 роки тому +9

      @@Salsmachev Also worth remembering that French spoken outside France itself often uses different numbers. Walloon/Belgian French uses "nonante" instead.

  • @phroggu
    @phroggu 3 роки тому +236

    "a quick little video"
    The video: longer than most conlang critics, his main series

    • @ookazi1000
      @ookazi1000 3 роки тому +7

      Yes, but see: this video didn't come with /reading and research/.

    • @Duiker36
      @Duiker36 3 роки тому +7

      @@ookazi1000 I mean, it did. It's just that it was reading one page and then one algorithm. Both of which he wrote. I've gone back and re-read stuff I wrote a long time ago and it totally counts as research.

    • @ookazi1000
      @ookazi1000 3 роки тому +5

      @@Duiker36 A fair point for a reasonable definition of research. I don't consider browsing one's own work research, but if you do, that's fair.

  • @ActingNT
    @ActingNT 3 роки тому +50

    If we ran with the idea of unique names for common bases, emphasizing their strengths, the Decimal System could become the Dactyl System

    • @wildstarfish3786
      @wildstarfish3786 Рік тому +2

      i think dactyl would be better for seximal considering you can very easily count to 36 by hand counting in seximal

    • @Designed1
      @Designed1 11 місяців тому +1

      decimal would be bihandal in that case

    • @tailpig6417
      @tailpig6417 7 місяців тому

      Here's the thing: decimal isn't the only base that's easy to count by hand. Binary (folded finger is 0, unfolded is 1), seximal (as mentioned above) and biseximal (using the thumb to count the [forgot the word for part of finger] of other fingers)

  • @Bootleg_Jones
    @Bootleg_Jones 3 роки тому +96

    I think I'm going to unironically start using "biker's dozen" to mean 26 from now on.

    • @CasualMitosisCollective
      @CasualMitosisCollective 3 роки тому +1

      I was about to write something here, but you... You just cracked me up.

    • @theapexsurvivor9538
      @theapexsurvivor9538 3 роки тому +3

      I also think I'll be using this naming system system for referring to base 78.

    • @CasualMitosisCollective
      @CasualMitosisCollective 3 роки тому

      @@theapexsurvivor9538 ??? What do you mean? (Also, REMEMBER ME???? I'M THE POULTER'S DOZENAL GUY FROM THAT OTHER COMMENT'S REPLIES!!!!)

    • @theapexsurvivor9538
      @theapexsurvivor9538 3 роки тому +1

      @@CasualMitosisCollective sorry, meant 78, not 72. 78 is 6*13.

    • @CasualMitosisCollective
      @CasualMitosisCollective 3 роки тому

      @@theapexsurvivor9538 oh. Ok.

  • @darrend.4835
    @darrend.4835 3 роки тому +1065

    I think it would be absolutely hilarious to call base-18 nonbinary and I am so sad you didn’t give that name as an option

    • @mel-burnes
      @mel-burnes 3 роки тому +80

      you. i like you

    • @skyscall
      @skyscall 3 роки тому +10

      oh boy

    • @BlueDoubleSharp
      @BlueDoubleSharp 3 роки тому +42

      Binonary sounds a lot like binary too

    • @frimi8593
      @frimi8593 3 роки тому +36

      Thank you for improving my enjoyment of this video even more

    • @PhoenixClank
      @PhoenixClank 3 роки тому +66

      I was absolutely certain that joke would happen and waited the whole video for it and it never dropped and I'm so confused

  • @jivejunior8753
    @jivejunior8753 3 роки тому +32

    11:30 ...do I need the n-word pass to talk about negative bases?

  • @ookazi1000
    @ookazi1000 3 роки тому +56

    biker's dozenal: The optimal number of bikers in a gang.

  • @worriedpikachu174
    @worriedpikachu174 3 роки тому +57

    I love how all your stuff is so genuine but also just insincere enough to be funny

  • @ParadoxProblems
    @ParadoxProblems 3 роки тому +40

    Amazing, I love clever ideas like this that just say "no, that way is dumb" and makes something brand new and awesome. I've been putting off watching this for a while because I knew I was going to love it (if that makes sense) but I also love your style of humor.

    • @PeoplesTaste
      @PeoplesTaste 2 роки тому

      The New Numeral System -- a new way to calculate and express numbers.
      ua-cam.com/video/GWX-TBijClc/v-deo.html

  • @unlurkingsentinel6872
    @unlurkingsentinel6872 3 роки тому +117

    _Nobody:_
    _Misali, figuring out how to name rational base systems:_ I'm a bit excited.

    • @EnriqueLaberintico
      @EnriqueLaberintico 3 роки тому +2

      They were the first ~in a few ways~.

    • @pacotaco1246
      @pacotaco1246 3 роки тому +2

      I cant wait for the sequel where he figures out how to name irrational base systems

  • @davidgustavsson4000
    @davidgustavsson4000 3 роки тому +210

    If anyone thinks "hexagesimal" sounded arbitrary, it's actually not just a replacement consonant, -gesima is latin for -ty. Cf. Quinquagesima, the 50th day before Easter.

    • @lawrencecalablaster568
      @lawrencecalablaster568 3 роки тому

      booyah

    • @zeeperry1576
      @zeeperry1576 3 роки тому +16

      indeed, this is why base-sixty, outside of JM's naming system, is often called sexagesimal

    • @PMA65537
      @PMA65537 3 роки тому +2

      Isn't that negative pentecost?

    • @Ratchet4647
      @Ratchet4647 3 роки тому +3

      Well, you can see it in the name in this system for twenty as well, Vigesimal.
      The word for 20th in Spanish uses that term too, Vigésimo.

    • @josephcoon5809
      @josephcoon5809 3 роки тому +2

      Language is is arbitrary.
      I laugh when somebody says, “That’s just a made up word.”
      Like, thanks for informing me how words work. 😂

  • @HungerGamesFan00
    @HungerGamesFan00 2 роки тому +2

    dozenary is the absolute gigachad of numbering systems, i have no other internet-argument hills NEARLY as satisfying to die on

  • @coryellsworth9705
    @coryellsworth9705 3 роки тому +51

    Misali, you're probably the only person in the world that can keep me interested in the nuances of number system nomenclature for 17 minutes. Thanks for your interesting content as always!

  • @taimunozhan
    @taimunozhan 3 роки тому +228

    "Senary" looks like something related to old people (senex, senile, senator).

    • @WodkaEclair
      @WodkaEclair 3 роки тому +24

      coz cognate. when yr 60 yr old

    • @MrCrashDavi
      @MrCrashDavi 3 роки тому +6

      @@WodkaEclair ohhhhhh

    • @morbidi
      @morbidi 3 роки тому +2

      sena means six.. that's the name of the card numbered six

    • @bobus_mogus
      @bobus_mogus 3 роки тому +2

      To me senary sounds more like a name of a building

    • @leirbag75
      @leirbag75 3 роки тому +1

      @@WodkaEclair Nope, it's just a coincidence. If that were the case, then the first e in senex would be long (like sēnus), but it's short

  • @chloeeeeeeeeeeeeeeeeee
    @chloeeeeeeeeeeeeeeeeee 3 роки тому +65

    “i can’t comprehend that you use base 23
    unbieleveable”

    • @cobalius
      @cobalius 3 роки тому +1

      Just saying that to someone using base 23 would be epic

    • @jisaswarm5218
      @jisaswarm5218 3 роки тому +2

      Yeah, base thirty-one IS unconventional thank you for pointing this out.

    • @angelodc1652
      @angelodc1652 9 місяців тому

      @@cobalius Is that a motherfucking SCP reference?!

  • @letMeSayThatInIrish
    @letMeSayThatInIrish 3 роки тому +545

    I can't believe 10[dislikes] people disliked this.

  • @edwardbarton1680
    @edwardbarton1680 3 роки тому +49

    We actually do use 60 different symbols when working in hexagesimal for time. Each symbol just happens to be a composite of two decimal symbols. Hence the need for ":" to separate the places.

    • @jarlfenrir
      @jarlfenrir 3 роки тому +6

      Mayan base 20 system also used similar system, but in a slighlty better way. You have only dashes and dots. Dot is 1 dash is 5. You stack those symbols vertically to create a digit (up to 19 - 3 dashes 4 dots) and those digits are placed horizontally to create numbers. Up to debate whether you want to call dash and dot a unique symbol, or every combination of them is a unique symbol to you.

    • @willsterjohnson
      @willsterjohnson 2 роки тому +11

      we technically don't need the ":" in digital time, just like we don't technically need the "," in "1,000,000".
      235959, 050239, 165243, these all contain all the information needed to convey time.
      23:59:59, 05:02:39, 16:52:43 are just easier to read.
      same as 1000000 vs 1,000,000, not necessary to separate but it helps a lot

    • @lusciouslocks8790
      @lusciouslocks8790 2 роки тому +9

      Isn’t this like calling English a logographic language where each logograph just happens to be a composite of multiple Latin logographs…

  • @narwhals6465
    @narwhals6465 3 роки тому +113

    Much easier solution: use base one while talking about other bases.
    Binary = base II
    Decimal = base IIIIIIIIII
    Hex = base IIIIIIIIIIIIIIII
    This won’t be annoying at all and it works with basically everything.

    • @Quesbe
      @Quesbe 3 роки тому +36

      Ah yes, I do love using base IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII
      (there's 256 I in here)

    • @YellowBunny
      @YellowBunny 3 роки тому +21

      That way you're just choosing unary to represent your base, which is almost as bad as choosing decimal except for the fact that unary is in a way the simplest and smallest (integer) base.

    • @sand747
      @sand747 3 роки тому +4

      @@YellowBunny at least it's not just an arbitrary choice

    • @KaneYork
      @KaneYork 3 роки тому +4

      @@YellowBunny It's exactly as bad as using unary for any practical purpose.

    • @diegobrand6970
      @diegobrand6970 3 роки тому +2

      But how would you extend this system beyond the natural numbers?

  • @SilverSerpent705
    @SilverSerpent705 3 роки тому +54

    "look dorward for at least one of those" is SUCH a content creator-mathematician way to end the video. I love it.

  • @connorconnor1631
    @connorconnor1631 2 роки тому +3

    the name for base twenty-three is unbielevable

  • @whatyoulookinfor
    @whatyoulookinfor 3 роки тому +80

    “I figured I would make a quick little video”
    *17 minutes long*
    Classic jan Misali

    • @ookazi1000
      @ookazi1000 3 роки тому +7

      A 10(sub) minute video, for which he had to do no additional research.

    • @tomc.5704
      @tomc.5704 3 роки тому +4

      @@ookazi1000 ‍I'm so mad at you, but so proud.
      An actual use of suboptimal in the wild

  • @tamaramacadam8650
    @tamaramacadam8650 3 роки тому +104

    "Just looking at the thumbnail makes my head hurt" - my friend

  • @josephcoon5809
    @josephcoon5809 3 роки тому +25

    First impression:
    I would have went with a naming convention that incorporated full factorization coupled with addition, exponentiation, and tetration.
    Base 12 = 2^2*3
    Bipbip-Trinary
    BpT
    Base 18 = 2*3^2
    Bi-Tripbipary
    BTpB
    Base 19 = 2*3^2+1
    Bi-Tripbipnary
    BTpbn
    Base 27 = 3^3
    Exponentiation: Triptripary
    Tpt
    Tetration: Tritbitary
    Ttb
    Base 24 (my favorite number) = 2^3*3
    Biptrip-Trinary
    BptT
    Base 72 = 2^3*3^2
    Biptrip-Tripbip
    BptTpb
    Base 210 = 2*3*5*7
    Bi-Tri-Quin-Heptary
    BTQH
    Base 216 = 2^3*3^3
    Exponentiation: Biptrip-Triptripary
    BptTpt
    Base 65,536 = 2^16 = 2^2^4 = 2^2^2^2
    Exponentiation: Bipbipbipbipary
    Bpbpbpb
    Tetration: Bitquatary
    Btq
    My second iteration:
    Use the Latin roots to symbolize the position of the prime factor base.
    Un: 2
    Bi: 3
    Tri: 5
    Qua:7
    Pen: 11
    Sex: 13
    Hep: 17
    Oct: 23
    Non: 29
    Dec: 31
    Numerals designate tetration level.
    PT where P is a prime factor and T is the tetration level
    U1 = 2
    B1 = 3
    U2 = 2^2 = 4
    T1 = 5
    Q1 = 7
    U3 = 2^2^2 = 16
    B2 = 3^3 = 27
    T2 = 5^5 = 3,125
    U4 = 2^2^2^2 = 65,536
    B3 = 3^3^3 = 7,625,597,484,987
    Tetration levels are applied directly to the Latin initial directly preceding the level designation.
    Tetration Level 1 is designated only for prime numbers.
    Tetration levels for prime factors are designated only for levels greater than 1.
    Upper case Latin initials designate prime factors.
    Lower case Latin initials designate prime factor powers.
    Uu3b2 = 2^(2^2^2*3^3) = 2^432 = 1.109e130
    Ununtritbibitpary
    Uu3B2 = 2^(2^2^2)*3^3 = 1,769,472
    U4B2 = 2^2^2^2*3^3 = 1,769,472
    Base: Name
    2: Ununtary { U1
    3: Biuntary { B1
    4: Unbitary { U2
    5: Triuntary { T1
    6: Un-Biary { UB
    7: Quauntary { Q1
    8: Unbipary {Ub
    9: Bibipary { Tt
    10: Un-Triary { UT
    11: Penuntary { P1
    12: Unbit-Biary { U2B
    13: Sexuntary { S1
    14: Un-Quaary { UQ
    15: Bi-Triary { BT
    16: Untritary { U3
    17: Hepuntary { H1
    18: Un-Biunpary { UBu
    20: Unbit-Triary { U2T
    23: Octuntary { O1
    25: Triunpary { Tu
    27: Bibitary { B2
    30: Un-Bi-Triary { UBT
    36: Unbit-Biunpary { U2Bu
    48: Untrit-Biary {U3B
    72: Unbip-Biunpary { UbBu
    81: Biununtary { Bu2
    210: Un-Bi-Tri-Quaary { UBTQ
    216: Unbip-Bibitary { UbB2
    2310: Un-Bi-Tri-Qua-Penary { UBTQP
    3,125: Tribitary { T2
    65,536: Unquatary { U4
    823,543: Quabitary { Q2
    285,311,670,611: Penbitary { P2
    7,625,597,484,987: Bitritary { B3

    • @connormcmk
      @connormcmk 3 роки тому +6

      > Latin roots to symbolize the position of the prime factor base
      I love this. And it's clear which bases are useful because they'll tend to have lots of 'un': 60 is Ununbiuntriun
      I think that this makes for an argument to write the 'un' part as something much shorter since it will be used a lot in useful places. Perhaps a single vowel like 'e' or 'o' since it's essentially never used.
      Also, I think I get a bit confused with your use of 'un'. Even in base 2 it's written as 'Ununtary' but without a base 1 symbol, there's no way to specify that it's 2^1, 'ununtary' looks like 2^2 and 'biuntary' looks like 3^2, but is actually 3^1. This means we need a base 1 symbol.
      We could just move your system back 1. So now it would be:
      Un: 1
      Bi: 2
      Tri: 3
      Qua:5
      Pen: 7
      Sex: 11
      Hep: 13
      Oct: 17
      Non: 23
      But in my head I can't escape my tendency to associate Qua with 4 instead of 5 or Sex with 6 instead of 11 (not sex, obviously, that would be inappropriate)
      So I would argue that we should instead reuse the existing associations (at least until they run out) Eg:
      Un: 1
      Bi: 2
      Tri: 3
      Pen:5
      Sept: 7
      Once?: 11
      Trit?: 13
      ???: 17
      ???: 23
      But now we find that we need a base name generation system for our base name generation system. Because what happens if we want to talk about 463, the 90th prime? Do you know the Latin base for 90? I don't
      So it's as though we can't escape the need to have a base. In your case by going to Dec you chose base ten as the base of your base system. But It could as easily be six or seventy, it's just controlled by the number of symbols we've previously come up with. Which is hugely dissatisfying.
      Unless... if we had a base agnostic way to generate base names we'd be set. So, what's an approach we could take? Well our real constraint isn't letters or symbols, it's phonemes. Well I can only use 44 of them (because I speak English). And of those 44 (www.dyslexia-reading-well.com/44-phonemes-in-english.html) I can only easily distinguish some of them. The difference between the 'th' in thong and the 'th' in leather is hard to tell apart. And of the ones I can distinguish, I can only write a subset of those in a way that's unambiguous when read by a standard english speaker.
      That really only leaves us with:
      f, v, p, b, t, d, k, g, s, z, th, h, j, l, m, n, r, sh, ch, ue, ae, ee, aiy, oa, e, u, oy
      It's actually pretty difficult to figure out how to write the vowels because the 'a' should be read as the a in 'bait' not 'cat', but if you generate a word with this system that looks like "bat" you should actually read it like "bait". That's not nice. So let's choose only the unambiguous letterings.
      We start with all possible vowel expressions:
      [['a', 'ai', 'au'],
      ['a', 'ai', 'eigh', 'aigh', 'ay', 'er', 'et', 'ei', 'au', 'a_e', 'ea', 'ey'],
      ['e', 'ea', 'u', 'ie', 'ai', 'a', 'eo', 'ei', 'ae'],
      ['e', 'ee', 'ea', 'y', 'ey', 'oe', 'ie', 'i', 'ei', 'eo', 'ay'],
      ['i', 'e', 'o', 'u', 'ui', 'y', 'ie'],
      ['i', 'y', 'igh', 'ie', 'uy', 'ye', 'ai', 'is', 'eigh', 'i_e'],
      ['a', 'ho', 'au', 'aw', 'ough'],
      ['o', 'oa', 'o_e', 'oe', 'ow', 'ough', 'eau', 'oo', 'ew'],
      ['o', 'oo', 'u', 'ou'],
      ['u', 'o', 'oo', 'ou'],
      ['o', 'oo', 'ew', 'ue', 'u_e', 'oe', 'ough', 'ui', 'oew', 'ou'],
      ['oi', 'oy', 'uoy'],
      ['ow', 'ou', 'ough'],
      ['a', 'er', 'i', 'ar', 'our', 'ur'],
      ['air', 'are', 'ear', 'ere', 'eir', 'ayer'],
      ['a'],
      ['ir', 'er', 'ur', 'ear', 'or', 'our', 'yr'],
      ['aw', 'a', 'or', 'oor', 'ore', 'oar', 'our', 'augh', 'ar', 'ough', 'au'],
      ['ear', 'eer', 'ere', 'ier'],
      ['ure', 'our']]
      But then we drop all consonants because we're already using them elsewhere:
      [['a_e'],
      ['ae'],
      ['ee'],
      ['uy', 'ye', 'i_e'],
      ['oa', 'o_e', 'eau'],
      ['ue', 'u_e'],
      ['oi', 'oy', 'uoy']]
      Of all those we don't want to use a_e (nor o_e or u_e) because we want to append letters, not have a bunch of 'ate' 'ape' 'ake' etc. plus it would be ambiguous to read with 'are' and 'age'. That gets us to
      [['ae'],
      ['ee'],
      ['uy', 'ye'], as in 'guy' or 'stye' chose 'ai'
      ['oa', 'eau'], like 'beau' or 'moat' chose 'oo'
      ['ue'],
      ['oi', 'oy', 'uoy']], like join, boy, buoy
      Arbitrarily I decided that from between ['oa', 'eau'] we should go with 'oa'.
      From among ['uy', 'ye'], as in 'guy' or 'stye' we go with 'aiy' (in other words: naiyther). Look, you can read all of these: spaiyder, skaiy, naiyt, paiy, gaiy, staiy, aiysle, aiysland, haiyt, kaiyt
      That just leaves us with ['oi', 'oy', 'uoy']], like join, boy, buoy. 'oi' looks like Ron greeting Harry. 'ouy' looks like french, gross. And since it's so close to french let's just choose the french word for yes which sounds exactly the same 'oui' (this means you should forevermore write 'join' as 'jwin' ).
      Just kidding. 'oy' it is.
      Now we're done, that's how we get these vowels:
      vowels = [
      'ae', as in bay, maid, weigh, straight, pay, foyer, filet
      'ee', as in be, bee, meat, lady, key, phoenix, grief, ski, deceive
      'aiy', spider, sky, night, pie, guy, stye, aisle, island
      'oa', open, moat, bone, toe, sow, dough
      'oo', who, loon, dew, blue, flute, shoe, through
      'e', as in end, bread, bury, friend, said
      'oy', as in join, boy, buoy
      'u' as in lug, monkey, blood, double
      ]
      "Wait," you might say, "isn't that more than the options we started with?" Yes. I don't want to explain, it took forever.
      Now we could just naively combine these, but 'uoyoaaeee' would be problematic. So perhaps we implement a rule that there should always be a consonant between vowels so that we can tell them apart.
      But I'm still not done, because if we just combine the words in any way we'll get strings like 'fuk' and 'shit' and 'dik' which will bum you out if they happen to land on your favorite base. Or maybe you'll love it. Nevermind, you'll love it. Ok, so we now just pick a canonical ordering for our phonemes.
      I'll start with the consonants, let's use a custom alphabetical order:
      consonants = ['z', 'b', 'ch', 'd', 'f', 'g', 'j', 'k', 'l', 'm', 'n', 'p', 'r', 's', 'sh', 't', 'th', 'v']
      Then let's define the canonical ordering of the vowels:
      vowels = ['oo', 'ae', 'ee', 'aiy', 'oa', 'e', 'u', 'oy']
      'oo' is up front so that it can be 0 in this system. 01 is one just like any system, but in this one you can't have one singular digit (because 'b', 'j','k' etc sounds bad without vowels, but 'oob' 'ooj' and 'ook' are phenomenal)
      Now we can construct arbitrary numbers, let's do up to 5:
      0. ooz
      1. oob
      2. ooch
      3. ood
      4. oof
      5. oog
      most importantly, Jan can now easily talk about their favorite base 10, base ooj.
      I tried to write a python function to return the full list of numbers, but honestly I found it really difficult.
      It's hard to work with mixed bases, I guess.
      Can you write a function to return each successive number?
      Ok here are the first 501:
      0: ooz
      1: oob
      2: ooch
      3: ood
      4: oof
      5: oog
      6: ooj
      7: ook
      8: ool
      9: oom
      10: oon
      11: oop
      12: oor
      13: oos
      14: oosh
      15: oot
      16: ooth
      17: oov
      18: aez
      19: aeb
      20: aech
      21: aed
      22: aef
      23: aeg
      24: aej
      25: aek
      26: ael
      27: aem
      28: aen
      29: aep
      30: aer
      31: aes
      32: aesh
      33: aet
      34: aeth
      35: aev
      36: eez
      37: eeb
      38: eech
      39: eed
      40: eef
      41: eeg
      42: eej
      43: eek
      44: eel
      45: eem
      46: een
      47: eep
      48: eer
      49: ees
      50: eesh
      51: eet
      52: eeth
      53: eev
      54: aiyz
      55: aiyb
      56: aiych
      57: aiyd
      58: aiyf
      59: aiyg
      60: aiyj
      61: aiyk
      62: aiyl
      63: aiym
      64: aiyn
      65: aiyp
      66: aiyr
      67: aiys
      68: aiysh
      69: aiyt
      70: aiyth
      71: aiyv
      72: oaz
      73: oab
      74: oach
      75: oad
      76: oaf
      77: oag
      78: oaj
      79: oak
      80: oal
      81: oam
      82: oan
      83: oap
      84: oar
      85: oas
      86: oash
      87: oat
      88: oath
      89: oav
      90: ez
      91: eb
      92: ech
      93: ed
      94: ef
      95: eg
      96: ej
      97: ek
      98: el
      99: em
      100: en
      101: ep
      102: er
      103: es
      104: esh
      105: et
      106: eth
      107: ev
      108: uz
      109: ub
      110: uch
      111: ud
      112: uf
      113: ug
      114: uj
      115: uk
      116: ul
      117: um
      118: un
      119: up
      120: ur
      121: us
      122: ush
      123: ut
      124: uth
      125: uv
      126: oyz
      127: oyb
      128: oych
      129: oyd
      130: oyf
      131: oyg
      132: oyj
      133: oyk
      134: oyl
      135: oym
      136: oyn
      137: oyp
      138: oyr
      139: oys
      140: oysh
      141: oyt
      142: oyth
      143: oyv
      144: booz
      145: boob
      146: booch
      147: bood
      148: boof
      149: boog
      150: booj
      151: book
      152: bool
      153: boom
      154: boon
      155: boop
      156: boor
      157: boos
      158: boosh
      159: boot
      160: booth
      161: boov
      162: baez
      163: baeb
      164: baech
      165: baed
      166: baef
      167: baeg
      168: baej
      169: baek
      170: bael
      171: baem
      172: baen
      173: baep
      174: baer
      175: baes
      176: baesh
      177: baet
      178: baeth
      179: baev
      180: beez
      181: beeb
      182: beech
      183: beed
      184: beef
      185: beeg
      186: beej
      187: beek
      188: beel
      189: beem
      190: been
      191: beep
      192: beer
      193: bees
      194: beesh
      195: beet
      196: beeth
      197: beev
      198: baiyz
      199: baiyb
      200: baiych
      201: baiyd
      202: baiyf
      203: baiyg
      204: baiyj
      205: baiyk
      206: baiyl
      207: baiym
      208: baiyn
      209: baiyp
      210: baiyr
      211: baiys
      212: baiysh
      213: baiyt
      214: baiyth
      215: baiyv
      216: boaz
      217: boab
      218: boach
      219: boad
      220: boaf
      221: boag
      222: boaj
      223: boak
      224: boal
      225: boam
      226: boan
      227: boap
      228: boar
      229: boas
      230: boash
      231: boat
      232: boath
      233: boav
      234: bez
      235: beb
      236: bech
      237: bed
      238: bef
      239: beg
      240: bej
      241: bek
      242: bel
      243: bem
      244: ben
      245: bep
      246: ber
      247: bes
      248: besh
      249: bet
      250: beth
      251: bev
      252: buz
      253: bub
      254: buch
      255: bud
      256: buf
      257: bug
      258: buj
      259: buk
      260: bul
      261: bum
      262: bun
      263: bup
      264: bur
      265: bus
      266: bush
      267: but
      268: buth
      269: buv
      270: boyz
      271: boyb
      272: boych
      273: boyd
      274: boyf
      275: boyg
      276: boyj
      277: boyk

    • @josephcoon5809
      @josephcoon5809 3 роки тому +3

      @@connormcmk I also considered using a different set of initialisms, and I was a bit put off with using the Latin roots in two different ways that created a confusing application depending on usage as a prime factorization versus exponentiation or tetration.
      As for the Prime numbers, the suffix actually denotes tetration (hence the ‘t’ instead of ‘p’). The tetration symbolism denotes the tetration level. In other words how many levels of exponentiation.
      Base 2
      Ununtary breaks down into:
      Un { first prime: 2
      -unt { one level of tetration; or just 2
      Base 4
      Unbitary breaks down into:
      Un { first prime: 2
      -bit { two levels of tetration; or 2^2
      Base 16
      Untritary breaks down into:
      Un { first prime: 2
      -trit { three levels of tetration; or 2^2^2
      Base 65,536
      Unquatary breaks down into:
      Un { first prime: 2
      -quat { four levels of tetration; or 2^2^2^2
      Using a ‘p’ for power instead of ‘t’ for tetration, you get different bases.
      Base 2 (redundant with Ununtary)
      Ununpary breaks down into:
      Un { first prime: 2
      -unp { raised to the first power; or 2^1
      Base 2 (redundant with Unbitary)
      Unbipary breaks down into:
      Un { first prime: 2
      -bip { raised to the second power; or 2^2
      Base 8 (first nontrivial exponentiated factor)
      Untripary breaks down into:
      Un { first prime: 2
      -trip { raised to the third power; or 2^3
      Base 16 (redundant with Untritary)
      Unquapary breaks down into:
      Un { first prime: 2
      -quap { raised to the fourth power; or 2^4
      My original post took me about an hour of developing, so I was too burned out to tighten up the tetration. Eyes get kinda crossed typing on a mobile phone for that long while dragging your mind though concepts it doesn’t swim in often. 😂
      I’m a bit burned out now, so I’ll have to go through your response a couple more times to get it settled in my mind better.

    • @josephcoon5809
      @josephcoon5809 3 роки тому

      @@connormcmk “But in my head I can’t escape my tendency to associate Qua with 4…”
      You can. It was difficult at first for me as well, but pouring over the nomenclatures for an hour helped solidify that the first root denotes the nth Prime. I did it this way, partially, to make it an exercise in remembering the cardinal value of each prime number
      Un is the first prime: Psub1 = 2
      Bi is the second prime: Psub2 = 3
      Tri is the third prime: Psub3 = 5
      As for really large primes…I feel like throwing in the towel and just going base ten, like you said, and just cycle back through with superscripted numerals
      The Psub90 (90th prime) would be Dec^9
      The Psub90 (80th prime) would be Dec^8
      The Psub90 (70th prime) would be Dec^7
      The Psub90 (60th prime) would be Dec^6
      .
      .
      .
      The Psub10 (10th prime) would be Dec.
      I’ll think on it some more tomorrow night.
      Cheers 🍻

    • @connormcmk
      @connormcmk 3 роки тому +1

      @@josephcoon5809 Would love to hear your thoughts!

    • @lucyc5844
      @lucyc5844 2 роки тому +1

      @@connormcmk damn, that's perfect

  • @huhneat1076
    @huhneat1076 3 роки тому +61

    Man, I can't believe your name for base 23.
    22 was more realistic.

    • @LFSDK
      @LFSDK 3 роки тому +8

      Unbelievable

    • @CasualMitosisCollective
      @CasualMitosisCollective 3 роки тому +2

      Get out

    • @bandie9101
      @bandie9101 3 роки тому +1

      Unbelievery

    • @felipevasconcelos6736
      @felipevasconcelos6736 3 роки тому +2

      I was trying to figure out why the name “triquinary” was bad, and “biseptimal” good. Then I remember decimal.

    • @CasualMitosisCollective
      @CasualMitosisCollective 3 роки тому +1

      @@felipevasconcelos6736 YOU CALL BASE DEC14 "BISEPTIMAL"?????? CALL IT "POULTER'S DOZENAL"!!!!!!!! (the joke is that "Poulter's Dozen is an actual term used to refer to the number DEC14)

  • @TheLegend2T
    @TheLegend2T 3 роки тому +48

    Jan Misali renames "senary" to "seximal" so he can get away with saying the naughty word: June 2021 (colorized)

    • @belcavendishny
      @belcavendishny 3 роки тому +1

      the renaming happened several years ago, keep up lol

    • @ookazi1000
      @ookazi1000 3 роки тому +14

      @@belcavendishny jan Misali doubles down on saying the naughty word, circa June 2021 (colorized)

    • @TheLegend2T
      @TheLegend2T 3 роки тому +1

      @@belcavendishny the date is when the footage was released

    • @AlbertTheGamer-gk7sn
      @AlbertTheGamer-gk7sn Рік тому

      There are no naughty words in any of this.

    • @AlbertTheGamer-gk7sn
      @AlbertTheGamer-gk7sn Рік тому

      @@piethedye3948 Which is not a profanity.

  • @kingturboturtlednoc5722
    @kingturboturtlednoc5722 Рік тому +4

    15:29 regardless if it's intentional or not, I think it's a good rule
    The last letter is almost always going to be L or Y so they're going to be pretty unusefull in feeling like a good, intuitive abbreviation since it would sound like all the others

  • @janmelantu7490
    @janmelantu7490 3 роки тому +229

    “Baker’s Dozenal” MY SIDES

    • @kate-os5ww
      @kate-os5ww 3 роки тому +15

      hey i came up with that one

    • @sy-py
      @sy-py 3 роки тому +38

      Wait until biker's dozenal

    • @dustmodebros
      @dustmodebros 3 роки тому +22

      @@sy-py wouldnt that make base 78 (6*13) sexer's dozenal?

    • @CasualMitosisCollective
      @CasualMitosisCollective 3 роки тому +1

      BASE DEC14 SHOULD THEN BE CALLED POULTER'S DOZENAL. I CAME UP WITH THAT NAME (cause I'm actually making a base DEC14 counting system called Poulter's Dozenal) AND I'M GONNA FORCE EVERYONE TO USE THAT NAME FOR BASE DEC14!!!!

    • @theapexsurvivor9538
      @theapexsurvivor9538 3 роки тому +1

      @@dustmodebros that sounds like something that would be enjoyed by biseximals...

  • @sigstackfault
    @sigstackfault 3 роки тому +62

    "Excel column numbering system" I died

  • @fireflash6012
    @fireflash6012 3 роки тому +8

    When you said "hentri" I was waiting for some sort of rule that changes it in specific scenarios to "hentai"

  • @ear212
    @ear212 3 роки тому +52

    I do like the "just add -nary" solution for irrational numbers less than 6, but I was really hoping for a "base e is known as natural" line in there.

    • @DarkPortall
      @DarkPortall 3 роки тому

      wait that was for irrational numbers

  • @SJrad
    @SJrad 3 роки тому +74

    Although unwieldy, hexagestimal is my favorite non-practical base system due to 60 being a Superior highly composite number

    • @conmattang8492
      @conmattang8492 3 роки тому +4

      Dozenal gets the job done just as well without being unwieldy

    • @DeJay7
      @DeJay7 3 роки тому +3

      We literally don't have 60 symbols even if we use all numbers and letters

    • @klobiforpresident2254
      @klobiforpresident2254 3 роки тому +1

      @@DeJay7
      1. Then don't demand one symbol per position.
      2. Base64 would like to have a word with you.

    • @darmorel549
      @darmorel549 3 роки тому +2

      @@DeJay7 We have way more then 60 symbols. Upper and lowercase give you 52 , and that just with English. Add that to the 0-9 we normally use, and we up to 62. We can add another 38 (If not more) if you count any symbol on the United states keyboard keyboard (like ~). So even without making anything new, we can get to base 100.

  • @KaosFireMaker
    @KaosFireMaker 3 роки тому +12

    So, as a fun tidbit, when I was designing a magic system, I actually decided to go for a prime factorization representation of numbers, where each prime has its own glyph/rune, or by a geometric shape. There was the fun point that humans in setting didn't know all of them(as there are infinite primes) so past a certain point there are gaps in the available values for spell construction without the use of multiple calculation steps.
    I might actually nab the, (number bellow it plus 1) notation so that the large primes are represented with (n-1) with a circle around it.

    • @RyanTosh
      @RyanTosh 2 роки тому +1

      It would be really cool if like, spells were tied to numbers, and you'd learn new spells by discovering new prime numbers

  • @gracewenzel
    @gracewenzel 3 роки тому +40

    “There’s a couple more minor rules for optimizing stuff..”
    ... with 8 more minutes to go

  • @JesseKawell
    @JesseKawell 3 роки тому +34

    This whole video is just 18 minutes of the "can't tell if serious" meme. Love it. It's also 18 minutes of my brain.

  • @CheesySpeakeasy
    @CheesySpeakeasy 3 роки тому +7

    This is absolutely insane and I'm 100% on board for it. Please explain how a negative base system works

    • @RyanTosh
      @RyanTosh 2 роки тому +1

      It's a lot like a normal base system, but since you have a built-in way of representing negative numbers, no negative sign is necessary. Somehow it just ends up working, like normal bases. E.g., positive numbers up to 9 would be the same in negadecimal, but ten would be 190, representing +100 - 90 + 0, since every other digit is negative

  • @sammy3212321
    @sammy3212321 3 роки тому +26

    Can’t believe Vötgil finally found a use

  • @qwertyTRiG
    @qwertyTRiG 3 роки тому +24

    I think of myself as geeky, but jan Misali goes a level beyond.

  • @brendansmith7703
    @brendansmith7703 9 місяців тому +1

    I love that you tried to explain a linguistic theoretical system using programming, like the linguistic nerds understand it. I love it more that it helped me understand what you were saying

  • @30IYouTube
    @30IYouTube 3 роки тому +56

    Pinary: base π
    Efficiencynary/Exponary: base e
    Goldenary: base φ
    Tauimal: base τ
    Littlegolendenary: base -1/φ
    Baselary: base π^2/6
    Scrutary: base sqrt(2)
    Imaginimal: base i
    Biskimaginimal: base 2+i: -ska- for seperating imaginary from real parts
    And my personal favorite:
    Nanotrihexabicosahentrihenexasnaoctalhentrihexahenbisnahentrihexabinonhentrihexasnahenhenhensnahexatrihesnhentriseximal: base 567,849,701,653, which is designed as a joke. Even the name is a joke, with stacking 'hentrihexa's everywhere, as well as alot of unclosed hens.
    (please pin this)

    • @30IYouTube
      @30IYouTube 3 роки тому +1

      in my screen, pi views as i write this

    • @JuniperHatesTwitterlikeHandles
      @JuniperHatesTwitterlikeHandles 3 роки тому +12

      ok but why not exponary for e

    • @aleksandersabak
      @aleksandersabak 3 роки тому +6

      Scrutimal: base sqrt(2) (square root).
      This allows to name the best irrational base: scrutimaginimal, base i * sqrt(2)

    • @Packbat
      @Packbat 3 роки тому +5

      Bimaginal is actually a thing with fans and a Wikipedia page! Although it's listed under Donald Knuth's name for it, "quater-imaginary".

    • @meta04
      @meta04 3 роки тому

      ...shouldn't π²/6 be Baselary with an e?

  • @jaskelsin1409
    @jaskelsin1409 3 роки тому +147

    “every base is base 10” is the most confusing simple statement I’ve ever read
    also, why is base 16 just “hex”? shouldn’t it be 4^2 since they’re the factors that are closest together?

    • @harrytaylor7127
      @harrytaylor7127 3 роки тому +58

      i guess it’s just because hexadecimal is already very popular, like how 17 was sub-optimal not un-hex

    • @pokestar9994
      @pokestar9994 3 роки тому +35

      hex is very commonly used way to refer to base 16, so that's why it's kept. Same as binary and dozenal. Hexadecimal is used in computer science since any byte can be represented as a 2 digit hex number.

    • @109Rage
      @109Rage 3 роки тому +57

      The name for Hex is grandfathered in, like Dozenal, because Hex is already used commonly in Programming, as a way to represent 4-bit binary numbers (the same way "niftimal" can be used to represent 2-digit seximal numbers).

    • @deithlan
      @deithlan 3 роки тому +1

      Hex sounds cool

    • @flamingpi2245
      @flamingpi2245 3 роки тому

      Then maybe make it hexamal

  • @dangerouspie0319
    @dangerouspie0319 3 роки тому +46

    I didn't expect this to be so fleshed out. I wonder how much of this is his homebrew and how much is already established. It's a really intellectual thing to just try make a universal mathematical system out of the barely standardized topics of math.

  • @miniman3112
    @miniman3112 3 роки тому +41

    I suggest base iiiiiiiiiiii, where the length of the i sound expresses the number which corresponds to 10.

    • @Kassakohl
      @Kassakohl 3 роки тому +2

      10 base iiiiiiiiiiiiiiiiiiiiiii?

    • @bane2201
      @bane2201 3 роки тому +2

      That sound should also be interchangeable with "ee" and "ah". And it also should have to be loud. Mainly that mathematics conferences sometimes have a bunch of screaming, but (on paper) so that it's distinguishable from i^base, e^base, or ("a", if odd) aa^(base/2) (an amount of the lava).

    • @pacotaco1246
      @pacotaco1246 3 роки тому +1

      I love this

    • @gavinchaston8105
      @gavinchaston8105 3 роки тому

      This is horrendous, make a website

  • @Hexolero
    @Hexolero 3 роки тому +44

    The fact that you've got bases for every rational number is fantastic. When is the update for arbitrary real number bases using Cauchy sequences of rational number bases? I want to do my calculations in pinary.

    • @EebstertheGreat
      @EebstertheGreat 3 роки тому +13

      There are uncountably many real numbers but only countably many notations, so there's not much you can do about it.

    • @coopergates9680
      @coopergates9680 3 роки тому

      Bear in mind that in bases phi and phi^2, integers have finite representations, even though they might not in other irrational bases.

    • @DragonWinter36
      @DragonWinter36 3 роки тому +1

      @@EebstertheGreat just notate the bases with the numbers themselves, problem solved!!

    • @EebstertheGreat
      @EebstertheGreat 3 роки тому +1

      @@DragonWinter36 You can't give every real number a unique name. There are just more real numbers than names.

    • @enzop6861
      @enzop6861 3 роки тому +3

      Real mfs be counting in inary

  • @cuberman5948
    @cuberman5948 Рік тому +2

    I am going to call base 6 "heximal" and you will never stop me

  • @MaximQuantum
    @MaximQuantum 3 роки тому +13

    Ooh, among these abbreviations I saw "DEC" and "SEP", those could be used in puzzles to trick players into thinking they are referring to months, but are actually abbreviated base names!

  • @Syuvinya
    @Syuvinya 3 роки тому +44

    1:07 "Translator's note: 12 means twelve"

    • @kornsuwin
      @kornsuwin 3 роки тому +2

      I mean it's kinda important

    • @Zachyshows
      @Zachyshows 2 роки тому +2

      But what does twelve mean?
      Sorry for bad English, I am a native English speaker.

    • @4thalt
      @4thalt 2 роки тому +3

      @@Zachyshows Twelve means this many dots: ••••••••••••

    • @h_ass_an
      @h_ass_an Рік тому

      All according to keikaku

  • @BearOverlord
    @BearOverlord 2 роки тому +34

    So glad that this channel exists to provide me with videos about the history of stuff like caramelldansen and ALSO human language, while ALSO delving into some math theory. It's a baffling combination of content, but it's also a very specific demographic that I just happen to be a part of.

    • @mihailmilev9909
      @mihailmilev9909 Рік тому

      Ikr

    • @mihailmilev9909
      @mihailmilev9909 Рік тому

      that's what I was thinking, and I didn't even know he did the carmelldansen one. Or didn't remember ig.

    • @mihailmilev9909
      @mihailmilev9909 Рік тому

      I was thinking from the beginning of the video he should collab with Oliver Lugg. Same sort of seemingly random or diverse but yet -(still?)- beautiful set/collection of topics. That also all seemingly match my interests...... WHAT FIELD ARE YALL IN AND HOW I GET IN?!!!

  • @winterclimber7520
    @winterclimber7520 3 роки тому +16

    Me while listening to the description of base 18: "there's no way he'll pick the right one"
    Me as soon as he names base 18: "He picked the right one!"

  • @curtiswfranks
    @curtiswfranks 3 роки тому +30

    I swear that we would get along well. Every few seconds of this video, I was nodding along, thinking "Yes, I have come up with this/a similar concept before". It is nice to see someone else caring about these things and thinking along similar lines.

  • @jvm-XLIX
    @jvm-XLIX Рік тому +3

    I will be calling hexadecimal hexadex and you can't stop me

  • @ozzem
    @ozzem 3 роки тому +14

    Ah the jan Misali classic of "Is this a shitpost or legitimate scholarly content?"

    • @PetWolverine
      @PetWolverine 3 роки тому +3

      And the usual answer, "Yes".

  • @JakubS
    @JakubS 3 роки тому +34

    imagine if we used base 10 instead of base 10 - that'd be awesome

    • @mrpedrobraga
      @mrpedrobraga 3 роки тому +8

      don't be a moron, base 10 is much better

    • @MrCrashDavi
      @MrCrashDavi 3 роки тому +1

      +

    • @jisaswarm5218
      @jisaswarm5218 3 роки тому +2

      Everybody here's a dumb*ss, base 10 is way better than all your lowly bases.

    • @Anonymous-df8it
      @Anonymous-df8it 3 роки тому +1

      Mathematicians prefer base 10 because 10 is the base of the natural logarithm
      Computer scientists like to use base 10 because 10=2^4
      Ordinary people use base 10 because we have 10 fingers
      Some people believe that we should switch to base 10 because it has the factors: 1,2,3,4,6 and 10
      Some people think that base 10 is bad and thus prefers to convert to base 10 because you have the same advantages but with cleaner fifths.

    • @a71official
      @a71official Рік тому

      ​@@Anonymous-df8ityou are bad at math

  • @WetRatGaming
    @WetRatGaming 3 роки тому +9

    Niftimal sounds like a portmanteau of nifty and optimal, and I think that's really fitting for the term itself!

  • @adamrodaway9116
    @adamrodaway9116 3 роки тому +182

    The world is divided into 10 kinds of people: those that understand binary and those that don’t...
    ...and those that know this joke is in base 3...
    ....etc.

    • @disgustof-riley
      @disgustof-riley 3 роки тому +1

      I GET IT

    • @joshwhite5730
      @joshwhite5730 3 роки тому +3

      Is that because the ten symbol is used for whatever the number system is named after and it is 3

    • @woodyweaver3664
      @woodyweaver3664 2 роки тому +5

      The world is divided into 10 kinds of people: those that understand binary, those that don't, and off by one errors.

    • @Sylocat
      @Sylocat 2 роки тому +12

      10 kinds of people: those who understand hex, and F the rest.

    • @adamrodaway9116
      @adamrodaway9116 2 роки тому

      @@Sylocat 😂

  • @GuildmasterWigglytuff
    @GuildmasterWigglytuff 3 роки тому +28

    "Biker's dozenal" has no right to be as hilarious as it is.

  • @zacket21
    @zacket21 2 місяці тому +6

    11:33 the what prefix?

  • @drusna
    @drusna 3 роки тому +14

    3:20 "seximal" is actually an abbreviation of how I like to spend my weekends

  • @the-nick-of-time
    @the-nick-of-time 3 роки тому +48

    Yet it doesn't have a name for partially-negative bases, like my favorite one, balanced ternary.

    • @Tesseract_King
      @Tesseract_King 3 роки тому +8

      Balanced ternary is my fave too! You could just have a rule that "balanced-" added to an odd base 2n+1 refers to a digit set (-n, -n-1, ..., 0, ..., n-1, n). (You could probably expand this to include an arbitrary offset but this at least covers the nice case.)
      "Balanced baker's dozenal" sounds like a fun base and puts me in the mind of someone balancing a tray of fresh pastries...

    • @Greenicegod
      @Greenicegod 3 роки тому +8

      @@Tesseract_King it would clearly be another prefix: bal-
      Meaning everyone can enjoy the numerological wonders of Balker's Dozenal

    • @thykappa
      @thykappa 3 роки тому +5

      @@Greenicegod I agree that a bal- prefix could be very useful. But for fun I could imagine a arbitrarily offset base as it's own prefix off-

    • @thykappa
      @thykappa 3 роки тому +1

      For example: another name for balanced ternary is negaunofftrinary because it would be an offset of -1

    • @thykappa
      @thykappa 3 роки тому +2

      Another example:
      [-2,-1,0,1] would be negabioffquaternary