I'm going to upgrade my mic situation soon. This episode was extra weird because my neighbors were playing loud music so I had to work around that haha
@@azimuth4850 Haha I'm usually the loud one with all the math ranting and other classroom noises, plus I've been flooding the neighborhood with bubbles recently from a new bubble machine I got. I can forgive them for playing loud music once in a while :)
Dude, can't wait to casually drop those words in a conversation. Also, the very first joke "threeven us something that is not throdd, and most people would understand this explanation" is quite a gem in and of itself too
All of these could be named using the naming system for every possible number base, as described in Jan Misali's video "every base is base 10". This would give names like octally even and hexadecimally even and suboptimally even.
I can not express how much I love this channel. Outstanding explanations, high energy, and foregoing the same meds as me. I'm so happy to see a new channel making insane maths engaging, I wish I was capable of half of what you're doing. I can't wait to watch this channel take off.
omg yes, especially in quantum mechanics there are so many threeven things, the amount of colours a quark can be are threeven, the dimensions of space are threeven, the number of forces that have a mediating particle are threeven, and so on
This isn't quite accurate. The number of fundamental interactions is technically 4, because the Higgs interaction is a fundamental interaction, alongside the weak interaction, the strong interaction, and the electromagnetic interaction. You can get cheeky and just say that the three fundamental interactions are the electroweak interaction, the Higgs interaction, and strong interaction. However, since the research suggests all such interactions were once unified anyway, this seems like an ad hoc argument. As for the dimensions of space, the ones currently known are 3 of them, yes, but most research in quantum relativity suggest the number of dimensions of space is higher, ranging anywhere from 5 to 26. Also, strictly speaking, these things are quantum field theory, not quantum mechanics.
this dude is going to have a million subs. these videos are unique, interesting, and quirky. i love the concept of the odd, slightly scruffy teacher in a dirty lab coat teaching unique mathematics. very cool
i was clenching my whole body for the first ten minutes trying to cope with the rapid onslaught of such chaotic knowledge. then the sudden pause to consider the sleeve that has been placed in the paint was so sudden it sent me into a full on holy shit pause the video i cant breathe laughing fit. felt like i snapped out of a trance. first time watching a full video after seeing a few shorts. enjoyed it immensely. i need a cigarette.
when there's 3 hexate 3 number of up arrows between threes, this is called "g1". With g1 arrows between the threes, you get g2. If this process is repeated enough time, you get a number called g64, also known as Graham's Number.
Mate this was brilliant, could show this to my non maths friends and you do such a good jobs of weaving a deep point about mathematics within this goofy framework they don’t even know that they’re learning
I love that’s it’s very clear to see you’re excited about everything you’re saying. I think that’s a cornerstone quality of a fantastic teacher. Don’t lose your enthusiasm man!
The running bit where you clearly had it out for those eggs but they kept avoiding getting completely obliterated as you got more and more creative with attempting to destroy them was so hilarious. I burst out laughing when you suddenly pulled out 3 bricks when the first one didn't do the job I know you were attempting to play it off as if it was an accident though, in that case I recommend some more "self aware" style comedy like that
I loved this video! I've been playing around with a thing I call the "factor field" (because it visualizes all the factors of every integer). You create it by filling a grid in the simple pattern. The first column gets every cell filled; the second column has every other row filled; the third column every third row, etc. It happens to show the factors of a number because you can look at the row (e.g., row 4) and can find the factors of the number of that row by which columns are filled (e.g., 1, 2, and 4 are the only ones filled at row 4, so 1, 2, and 4 are the factors of 4). A simple visual observation shows VERY clearly that base-6 mathematics is the "natural" base of mathematics. It's the default "pulse" of how numeric patterns loop.
This is fairly unconvincing. The truth is, there is no such a thing as "the natural base" of all mathematics, and position representation systems are usually not the best way to work with numbers anyway! Besides, as far as mathematical properties and logic are concerned, 2 is the most natural base, especially when you consider the importance of 2 in discrete calculus and in abstract algebra. 6 only seems more natural, because it is the next primorial number after 2. The sequence of primorial numbers is given by 1, 2, 2•3 = 6, 2•3•5 = 30, 2•3•5•7 = 210, etc. This just exposes how useful primorials are. 30 is a great base, and so are multiples of it, and we say this with how the Babylonians adopted base 60, a highly composite number. It turns out, highly composite numbers are always multiples of a primorial, where the quotient between the highly composite number and primorial is either 1, or a prime factor of the primorial. This is what makes numbers such as 6, 12, 60, etc., special. But there are infinitely many of these numbers, and 6 is not somehow more fundamentally special than 12 or 2 or 30 or anything of the sort. And if you are doing mathematics, then the base is irrelevant 99.99999% of the time. Only in recreational mathematics does the base matter at all, really.
I discovered this channel a few weeks ago, but as someone who loves mathematics, this is already my favourite science/maths channel, I love the fact that you mix really interesting maths facts with your chaotic energy!
I'd like to just point out that red, green, and blue light do NOT "create" all colours when combined - they only simulate them! There is, for instance, a wavelength for yellow light, which is not the same as mixing red and green light - mixing light doesn't change the wavelenghs being produced. (Which leads to some very interesting and bizzare lighting effects in some situations!)
Thanks!! I don’t have a patreon page yet, though I’ll probably make one at some point. If anyone wants to help support the channel right now they can email me through the contact link on my page. And just commenting on all the vids and sharing them around helps too :)
holy SHIT i just realized you only had 10k subs and only like 2.5k views per video, i thought you were way more well known and man you deserve more popularity
Yeah the only reason I didn’t mention more geometric properties is that I have some full episodes planned around some. Like I already filmed scenes about the Platonic solids for a different upcoming episode :)
Entertaining and informative! One reason I could argue for terms like threeven is when building point clouds of simplexes, divided into unit simplexes, by an extention of the Pascal's Triangle processes, you learn that the highest simplex only has a center when n is a multiple of the number of vertex of that simplex. Or the point cloud of terms created by (v1 + v2 +... + vm)^n power will have an overall center only when n is a multiple of m
The thing about 5 is it is 1 fundamentally. It's natural Binary for the Decimal system since it's multiples will either end in 0 or 5. It also has the distinction of being 11 in Quaternary. I'm pretty sure it's because what Gottfried Leibniz unintentionally did was rip out the 5 constant from numbers
I'm sold. Threeven sounds like a good word. Personally, I'm still trying to normalize using tau radians as a measure for rotation. Can you turn that a quarter τ? (Turn it 90 degrees).
A cool thing is if you half the the length of a string it vibrates at one octave higher than before, but if you take 2/3 the length of a string it vibrates at a perfect 5th higher than before. Maybe it should be called a perfect 3rd instead.
You just might be on to sumpthin X X X _ *X* X X X _ X X _ X *X* X X _ X X _ X X *X* X _ X X _ X X X *X* _ X X X X X X _ *X* X X _ X X X _ X *X* X _ X X X _ X X *X* _ X X X Prior to Semi/Hemi-tones being included "Perfection of the Fifth" is a positionary characteristic of the modular array having within it's periodicity at least two vacancies of nine possible locations for 7 Elements, omitting 2 of 9 modes "Perfection of the fifth" is a defintion of diatony in terms of A, B, C, D, E, F & G Don't think _ X _ X X would produce *diatony* but moving on to _ X X _ X X X should; _ X X X X _ X X X X X should be "Perfect" at the 7th tones for 9 of 11 modes... them dos vacancies distinguish Music Theory from Measure Theory/Number Theory.. Wweeeeeeee!!! I hope you to enjoy
Note this moment folks!!.. from now on, we will be able to tell pre-threeven-episode-episodes and post-threeven-episode-episodes by the colors on his jacket. You might even say, "I've been following this dude since before threeven-episode in the threeven-year of 2022, pre the post-threeven year of 2023 when his channel blew up like crazy!"
I thought vermilion was a song, but today I learned that it's a color. I'd definitely sign that petition. Put some small print in there about changing to base 8. It would make converting to binary much easier.
I mean no one's stopping you from using a base 8 or a base 16 system instead. They are already in place. base 16 is called hexadecimal, works very well for converting to binary. So hexadecimals numbers are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F use these numbers instead, so if you got like a number B1 you multiply each digit by powers of 16 and their value, so here would be 11x16+1=177 but now how would you convert B1 into binary? It's satisfyingly simple. First, a 2 digit hex number gives you 8 digits in binary. So to convert, you start by breaking B1 into B and 1 and you convert B, and 1 into 4 digit binary numbers, which are actually called nibbles. So you start by converting B into binary as a nybble: 1011 and 1 in binary as a nybble is: 0001 So this here is the really cool part: B1 in binary is 10110000+0001=10110001, which is essentially just putting those two numbers aside each other. Because of how easy this is to convert to binary, programmers often use hexadecimal to quickly represent numbers in binary. the computer will do less processing to convert as well, making compilation more efficient. Yeah so basically one digit in hex directly represents a nybble in binary. Now, I believe if you were to work with base 8 1 digit in base 8 would represent 3 digits in binary, which, is an odd number, it doesn't quite fit into a byte, so base 16 is a lot better for binary.
So it looks like the number of binary digits that another base digits corresponds to base 2 log of the new base. So log₂(16)=4 log₂(8)=3 so if you wanted just 1 digit to represent a byte, you would do 2⁸, giving you base 256. This means you would need 256 numbers to represent a byte, which just isnt worth it. You want either 2, 4, or 8, powers of 2 to fit in bytes fully, so base 4 could also work to represent binary, and would be better than base 8. Problem with base 4 is that you have to compute more digits in a base that you don't think in (like a foreign language), than you would for base 16. After all this, I think we should have stuck with base 12 for regular math because for general usage, 12 is very divisble, we have twelve spaces on our fingers we can use to count on (look at the lines on the inside, it forms like a grid of 3 by 4). Use your thumb to count these, so you can only use one hand to count 12 numbers instead of two hands to count 10 fingers. 12 is a lot more divisible than 16 is, 16 is only divisible by powers of 2, whereas 12 can be divided by 2, 3, and 4, which is a lot more common than dividing by 5.
When I was 3 years old I decided my favorite number was 3. Since then it has always been 3. So basically what I'm saying is that I've known everything you talked about in this video for a very long time.
What about thronly and thrompany? They are pretty important in number theory and cryptography. Not to mention fournly and fourowd which are important for quadratic forms and reciprocity as well as number theory and cryptography.
I would say that in spanish and catalan already exist something like threeven, Ternal, o terciario, but not sure if it would be use in the same context
I vote for “thridd” and “throdd” to replace “pre-threeven” and “post-threeven.” It gets that nice tick-tock, flip-flop ablaut reduplication going. For fives, it can go fidd, fadd, fodd, fudd, feven.
multiples of 7 should just be called Seven... and In swedish we already have a word for things that come in threes, tretal, lit. three number. And for literally all other numbers as well. ental tvåtal tretal fyrtal femtal sextal sjutal åttal niotal tiotal elvtal tolvtal ... 1 to 12 there... and it's related to the Swedish word for amount, antal, 1 amount is literally ett antal. But if you think that morning afternoon night is correct then you're wrong. Dawn/morning/beforenoon/noon or midday/afternoon/evening/dusk/night is the actual 8 partitions of a day.
this is pedantic, but red / yellow / blue isn't really the true primary subtractive colors, it's actually cyan, magenta, and yellow, AkA the additive *secondary* colors!! most artists probably aren't used to working with CMYK paints, but printers sure are!
my extension to 35: integer even threeven doubly even feven threeven even seeven triply even doubly threeven feven even eleeven threeven doubly even thirteeven seeven even feven threeven quadruply even seventeeven even doubly threeven nineteeven feven doubly even seeven threeven eleeven even twenty-threeven threeven triply even doubly feven thirteeven even triply threeven seeven doubly even twenty-neeven feven threeven even thirty-oeven (oeven is pronounced "weeven") quintuply even eleeven threeven seventeeven even seeven feven
So, Base 12 and you get optimal use of threeven and even, base 30 and you get optimal use of feeven threeven and even, and base 210 you get optimal use of seeven feeven threeven and even. Or go really wild and do base 15, because nobody needed 2s anyway.
Base 6 gets optimal enough use of threeven and even, although base 12 gets "doubly even" in the mix too. And yup base 30 would be good IF fevens were as important as threevens but since they aren't, base 6 or 12 would work great
Now what about Quevens and Quods? And of course, we'd need Pre-Queven Quods, Post-Queven Quods, and Half-Quevens (aka non-Queven Evens). I feel like the Doubly-Xven notation misses out on the individual flavor of each. We're basically getting into the territories explored by time signatures from musical notation with this, and I feel like the focus solely on constructing via doubling misses the patterns comprised of adding smaller patterns. For example, "Feven rhythms" are built from groups of two and three beats, rather than merely being a group of five. This ties together all of the primeven (i.e. congruent to prime numbers) as being the additive combinations of other congruences.
My next episode shows some "mod 12" patterns, which is similar to base 12, and shows ways mod/base 6 and 12 are both neater than 10. And in the future, I'll do some episodes that are especially focused on that. I personally have grown to like base 6 the most, but base 12 is great too (both are far better than base ten)
Hahahahaha, breaking the eggs 🥚 was cool but got me curious. What’s the fire 🔥 meaning? Why the inside out lab 🥼 coat 🧥 mean? What does a dirty lab 🥼 coat stand for?? So many interesting props. I get the clocks ⏰ and dice 🎲
I have recently stumbled onto your channel by the “Palindromes” and “Levels Beyond Exponents” videos, I seem to like these videos much due to your unique style and high enthusiasm. I also have some funny moments and comments you might want to clock into below :) “It is very fundamental in life *being doubled* [1] or *being cut in half* [2]” “Franchises like Star Wars make trilogies on trilogies[3]” “Now it might seem I’m asking a lot to add a new word to an official dictionary[4]” “about a thorough roast of millions, billions and -illions, all being terrible numbers[5]” [1] yes, it’s *almost* perfectly normal. [2] Darth Maul. Periodt. [3] It would be nice to have a 3rd order Trilogy Stack (as Trilogy Of trilogies Of trilogies), albeit that would be 27 movies, too overexerting 😅. [4] no, people don’t use many of those 100s of 1000s of words, one only needs about 200, this word can still be used by Mathematicians, nobody uses the word ‘Vector’ outside of stuff involving maths or biology. [5] We need a composite system from which people can pick according to what they want.
All this dude needs is one of those high quality wireless mics and he will become one of the best math and science TH-camrs
I'm going to upgrade my mic situation soon. This episode was extra weird because my neighbors were playing loud music so I had to work around that haha
@@ComboClass Neighbors playing loud music you say? Time to buy some speakers and blast your own tunes!
@@azimuth4850 Haha I'm usually the loud one with all the math ranting and other classroom noises, plus I've been flooding the neighborhood with bubbles recently from a new bubble machine I got. I can forgive them for playing loud music once in a while :)
Tbh the bad mic is part of the charm, really sells the whole chaotic nature of society
@@HomieSeal but it would be nicer to actually hear him
I like how the recording set gets increasingly more chaotic each episode
Also his lab coat 🥼 seems to get more chaotic as well?
The production value of this show reminds me of low-budget/no-buget cable-access shows from the '80s, and I genuinely mean that as a compliment
I’ve heard that humans are biased towards groups of three, but the idea of anything being visually satisfying even in threevens blew my mind.
I am studying to become a teacher and let me tell you there is a lot of pedagogical potential in you Mr Domotro
Dude, can't wait to casually drop those words in a conversation. Also, the very first joke "threeven us something that is not throdd, and most people would understand this explanation" is quite a gem in and of itself too
this has quickly become my favorite math channel
me too, toastybro :)
Thank you for your bravery in standing up to the tri-rannical neglect of Merriam-Webster in its dismissal of threevenness.
All of these could be named using the naming system for every possible number base, as described in Jan Misali's video "every base is base 10". This would give names like octally even and hexadecimally even and suboptimally even.
I can not express how much I love this channel. Outstanding explanations, high energy, and foregoing the same meds as me.
I'm so happy to see a new channel making insane maths engaging, I wish I was capable of half of what you're doing. I can't wait to watch this channel take off.
"Seeven" has now enter my daily language thank u
I like how you're deliberately trying to destroy those eggs after surviving all that
It’s always a good day when combo class posts. :)
In order to add threeven to the dictionary the people need to be use the word. I will support this effort
omg yes, especially in quantum mechanics there are so many threeven things, the amount of colours a quark can be are threeven, the dimensions of space are threeven, the number of forces that have a mediating particle are threeven, and so on
'Tis true. Quantum states are (to coin a new adjective) "threeventic."
Yes a lot of things have some threeventicality
ok wait no "threeven" is already an adjective so that makes no sense
generations of fermions
This isn't quite accurate. The number of fundamental interactions is technically 4, because the Higgs interaction is a fundamental interaction, alongside the weak interaction, the strong interaction, and the electromagnetic interaction. You can get cheeky and just say that the three fundamental interactions are the electroweak interaction, the Higgs interaction, and strong interaction. However, since the research suggests all such interactions were once unified anyway, this seems like an ad hoc argument.
As for the dimensions of space, the ones currently known are 3 of them, yes, but most research in quantum relativity suggest the number of dimensions of space is higher, ranging anywhere from 5 to 26. Also, strictly speaking, these things are quantum field theory, not quantum mechanics.
this dude is going to have a million subs. these videos are unique, interesting, and quirky. i love the concept of the odd, slightly scruffy teacher in a dirty lab coat teaching unique mathematics. very cool
He's not odd, He's throdd.
i was clenching my whole body for the first ten minutes trying to cope with the rapid onslaught of such chaotic knowledge. then the sudden pause to consider the sleeve that has been placed in the paint was so sudden it sent me into a full on holy shit pause the video i cant breathe laughing fit. felt like i snapped out of a trance. first time watching a full video after seeing a few shorts. enjoyed it immensely. i need a cigarette.
when there's 3 hexate 3 number of up arrows between threes, this is called "g1". With g1 arrows between the threes, you get g2. If this process is repeated enough time, you get a number called g64, also known as Graham's Number.
I love that I found this channel before it totally blows up. You're in it Teach! You're in it! Thank you Domotro
It's wonderful the way that the transcript resolutely refuses to use the word "threeven" 😂
I guess I’ll just have to binge all your videos again until the next release! Keep up the awesome work guys!
the chaotic energy makes me so happy inside. I love threevens. we need them.
In many electronic systems Tri-state logic is used. High Low and Floating.
Mate this was brilliant, could show this to my non maths friends and you do such a good jobs of weaving a deep point about mathematics within this goofy framework they don’t even know that they’re learning
I love that’s it’s very clear to see you’re excited about everything you’re saying. I think that’s a cornerstone quality of a fantastic teacher. Don’t lose your enthusiasm man!
The running bit where you clearly had it out for those eggs but they kept avoiding getting completely obliterated as you got more and more creative with attempting to destroy them was so hilarious. I burst out laughing when you suddenly pulled out 3 bricks when the first one didn't do the job
I know you were attempting to play it off as if it was an accident though, in that case I recommend some more "self aware" style comedy like that
Bit of "HowToBasic" vibe there 😂
I loved this video! I've been playing around with a thing I call the "factor field" (because it visualizes all the factors of every integer). You create it by filling a grid in the simple pattern. The first column gets every cell filled; the second column has every other row filled; the third column every third row, etc. It happens to show the factors of a number because you can look at the row (e.g., row 4) and can find the factors of the number of that row by which columns are filled (e.g., 1, 2, and 4 are the only ones filled at row 4, so 1, 2, and 4 are the factors of 4). A simple visual observation shows VERY clearly that base-6 mathematics is the "natural" base of mathematics. It's the default "pulse" of how numeric patterns loop.
This is fairly unconvincing. The truth is, there is no such a thing as "the natural base" of all mathematics, and position representation systems are usually not the best way to work with numbers anyway! Besides, as far as mathematical properties and logic are concerned, 2 is the most natural base, especially when you consider the importance of 2 in discrete calculus and in abstract algebra. 6 only seems more natural, because it is the next primorial number after 2. The sequence of primorial numbers is given by 1, 2, 2•3 = 6, 2•3•5 = 30, 2•3•5•7 = 210, etc. This just exposes how useful primorials are. 30 is a great base, and so are multiples of it, and we say this with how the Babylonians adopted base 60, a highly composite number. It turns out, highly composite numbers are always multiples of a primorial, where the quotient between the highly composite number and primorial is either 1, or a prime factor of the primorial. This is what makes numbers such as 6, 12, 60, etc., special. But there are infinitely many of these numbers, and 6 is not somehow more fundamentally special than 12 or 2 or 30 or anything of the sort. And if you are doing mathematics, then the base is irrelevant 99.99999% of the time. Only in recreational mathematics does the base matter at all, really.
I found this channel earlier today, and I've already binged through all the videos. Great job!
I discovered this channel a few weeks ago, but as someone who loves mathematics, this is already my favourite science/maths channel, I love the fact that you mix really interesting maths facts with your chaotic energy!
I'd like to just point out that red, green, and blue light do NOT "create" all colours when combined - they only simulate them! There is, for instance, a wavelength for yellow light, which is not the same as mixing red and green light - mixing light doesn't change the wavelenghs being produced. (Which leads to some very interesting and bizzare lighting effects in some situations!)
this became most entertaining math channel once i saw the destruction of clocks
I feel like you just mathematically crumbled and rearranged my whole reality rn, thanx.
I love your energy and how you make everything chaotic but still keeping an ordered line of thought, easy to follow. Thumbs up and keep going!
When you pulled out the bricks I was scared knowing how clumsy you are lol
My favorite threeven thing is the date that you created this channel.
I was up in arms about your term for 5-even (methought it ought rhyme with 5), but then you brought up seeven and I was instantly on board.
This has quickly became my favourite channel, gl! :) Your excitement for mathematics is inspiring
You inspire my curiosity and love of numbers. Keep doing what you doing. Loving it ❤❤❤
another day another combo class!! you are now my absolute favourite math channel, do you have a Patreon ?
Thanks!! I don’t have a patreon page yet, though I’ll probably make one at some point. If anyone wants to help support the channel right now they can email me through the contact link on my page. And just commenting on all the vids and sharing them around helps too :)
holy SHIT i just realized you only had 10k subs and only like 2.5k views per video, i thought you were way more well known and man you deserve more popularity
Hey Domotro, this channel is amazing
13:55 i'd say the platonic solids or other geometric properties, i'm surprised that they weren't mentioned in the video
Yeah the only reason I didn’t mention more geometric properties is that I have some full episodes planned around some. Like I already filmed scenes about the Platonic solids for a different upcoming episode :)
@@ComboClass nice! i'm excited for that
I’m putting a link to this episode in my new book on the math of music. Your stuff is awesome!
So are we just not gonna mention the bangin intro music??
I'm sold, threeven should be a thing
Entertaining and informative!
One reason I could argue for terms like threeven is when building point clouds of simplexes, divided into unit simplexes, by an extention of the Pascal's Triangle processes, you learn that the highest simplex only has a center when n is a multiple of the number of vertex of that simplex. Or the point cloud of terms created by (v1 + v2 +... + vm)^n power will have an overall center only when n is a multiple of m
great video; can't wait for more.
perfect I was just wondering when you’d upload next
6 string guitar, 12 frets, limitless possibility
I love when you get on a roll and talk like a Math Salesman
Most music divides the octave into 12 notes-that's a threven.
2^3:3^2 is a nice palindromic combo of primal even and odd. But if you solve it either from left or right, it goes from throdd to threeven.
great video! loving the concepts!
This channel is so good
I love this channel. Keep it up!!
they weren’t kidding when they said 3 is a magic number on schoolhouse rock
pythagorean tuning using the ratio 3/2 to derive the 12 pitches
This guy is heavily entertaining but also very informative. He is however more ecstatic in talking then other math TH-cam people.
My dictionary has triadic, subtriadic, and supertriadic for the three congruency classes modulo 3.
my dude saw that 3 is all around nature and dedicated a 14 minute shitpost about why we should have names for stuff congruent to mod 3, I love it
The thing about 5 is it is 1 fundamentally. It's natural Binary for the Decimal system since it's multiples will either end in 0 or 5. It also has the distinction of being 11 in Quaternary. I'm pretty sure it's because what Gottfried Leibniz unintentionally did was rip out the 5 constant from numbers
I'm sold. Threeven sounds like a good word. Personally, I'm still trying to normalize using tau radians as a measure for rotation.
Can you turn that a quarter τ? (Turn it 90 degrees).
i like the unit "turns" turn it 1/4 aka 90 degrees. lmao. but tau is very nice instead of degrees because it's easier to convert to radians
Love your videos 😀😀😀✅✅✅👍👍👍
This video is so good that its showing up in "Continue watching" even though I've never watched it
these videos have so much personality it's awesome. and the explanations are very clear too
A cool thing is if you half the the length of a string it vibrates at one octave higher than before, but if you take 2/3 the length of a string it vibrates at a perfect 5th higher than before. Maybe it should be called a perfect 3rd instead.
You just might be on to sumpthin
X X X _ *X* X X X _
X X _ X *X* X X _ X
X _ X X *X* X _ X X
_ X X X *X* _ X X X
X X X _ *X* X X _ X
X X _ X *X* X _ X X
X _ X X *X* _ X X X
Prior to Semi/Hemi-tones being included
"Perfection of the Fifth" is a positionary characteristic of the modular array having within it's periodicity at least two vacancies of nine possible locations for 7 Elements, omitting 2 of 9 modes
"Perfection of the fifth" is a defintion of diatony in terms of A, B, C, D, E, F & G
Don't think
_ X _ X X
would produce *diatony*
but moving on to
_ X X _ X X X
should;
_ X X X X _ X X X X X
should be "Perfect" at the 7th tones
for 9 of 11 modes...
them dos vacancies
distinguish
Music Theory from
Measure Theory/Number Theory..
Wweeeeeeee!!!
I hope you to enjoy
Note this moment folks!!.. from now on, we will be able to tell pre-threeven-episode-episodes and post-threeven-episode-episodes by the colors on his jacket. You might even say, "I've been following this dude since before threeven-episode in the threeven-year of 2022, pre the post-threeven year of 2023 when his channel blew up like crazy!"
I thought vermilion was a song, but today I learned that it's a color.
I'd definitely sign that petition. Put some small print in there about changing to base 8. It would make converting to binary much easier.
Base-16 would be better.
I mean no one's stopping you from using a base 8 or a base 16 system instead. They are already in place. base 16 is called hexadecimal, works very well for converting to binary.
So hexadecimals numbers are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F
use these numbers instead, so if you got like a number B1 you multiply each digit by powers of 16 and their value, so here would be 11x16+1=177
but now how would you convert B1 into binary?
It's satisfyingly simple. First, a 2 digit hex number gives you 8 digits in binary.
So to convert, you start by breaking B1 into
B and 1
and you convert B, and 1 into 4 digit binary numbers, which are actually called nibbles.
So you start by converting B into binary as a nybble: 1011
and 1 in binary as a nybble is: 0001
So this here is the really cool part:
B1 in binary is
10110000+0001=10110001, which is essentially just putting those two numbers aside each other.
Because of how easy this is to convert to binary, programmers often use hexadecimal to quickly represent numbers in binary.
the computer will do less processing to convert as well, making compilation more efficient.
Yeah so basically one digit in hex directly represents a nybble in binary.
Now, I believe if you were to work with base 8
1 digit in base 8 would represent 3 digits in binary, which, is an odd number, it doesn't quite fit into a byte, so base 16 is a lot better for binary.
So it looks like the number of binary digits that another base digits corresponds to base 2 log of the new base.
So log₂(16)=4
log₂(8)=3
so if you wanted just 1 digit to represent a byte, you would do 2⁸, giving you base 256. This means you would need 256 numbers to represent a byte, which just isnt worth it. You want either 2, 4, or 8, powers of 2 to fit in bytes fully, so base 4 could also work to represent binary, and would be better than base 8. Problem with base 4 is that you have to compute more digits in a base that you don't think in (like a foreign language), than you would for base 16.
After all this, I think we should have stuck with base 12 for regular math because for general usage, 12 is very divisble, we have twelve spaces on our fingers we can use to count on (look at the lines on the inside, it forms like a grid of 3 by 4). Use your thumb to count these, so you can only use one hand to count 12 numbers instead of two hands to count 10 fingers. 12 is a lot more divisible than 16 is, 16 is only divisible by powers of 2, whereas 12 can be divided by 2, 3, and 4, which is a lot more common than dividing by 5.
When I was 3 years old I decided my favorite number was 3. Since then it has always been 3. So basically what I'm saying is that I've known everything you talked about in this video for a very long time.
Ayy nice another upload!
What about thronly and thrompany? They are pretty important in number theory and cryptography. Not to mention fournly and fourowd which are important for quadratic forms and reciprocity as well as number theory and cryptography.
Poor Dr. Domotro, I hope he gets a new negative desk someday.
I would say that in spanish and catalan already exist something like threeven, Ternal, o terciario, but not sure if it would be use in the same context
I vote for “thridd” and “throdd” to replace “pre-threeven” and “post-threeven.” It gets that nice tick-tock, flip-flop ablaut reduplication going. For fives, it can go fidd, fadd, fodd, fudd, feven.
8:33 this applies to being any multiple
multiples of 7 should just be called Seven... and In swedish we already have a word for things that come in threes, tretal, lit. three number. And for literally all other numbers as well.
ental tvåtal tretal fyrtal femtal sextal sjutal åttal niotal tiotal elvtal tolvtal ... 1 to 12 there... and it's related to the Swedish word for amount, antal, 1 amount is literally ett antal.
But if you think that morning afternoon night is correct then you're wrong. Dawn/morning/beforenoon/noon or midday/afternoon/evening/dusk/night is the actual 8 partitions of a day.
Totally! 3 is also my favorite number :)
Me: "I built a computer"
Friend: "cool, what's your specs"
Me: "completely custom hand built, everything done in trinary"
Well what do you call a number that isn't doubly even?
Let me answer the thumbnail before watching the video:
1. It would be funny
2. Domotro said so.
This is amazing
this is pedantic, but red / yellow / blue isn't really the true primary subtractive colors, it's actually cyan, magenta, and yellow, AkA the additive *secondary* colors!! most artists probably aren't used to working with CMYK paints, but printers sure are!
pretty interesting stuff
Kinda reminiscent of Jan misali, but more fast paced
Good stuff
my extension to 35:
integer
even
threeven
doubly even
feven
threeven even
seeven
triply even
doubly threeven
feven even
eleeven
threeven doubly even
thirteeven
seeven even
feven threeven
quadruply even
seventeeven
even doubly threeven
nineteeven
feven doubly even
seeven threeven
eleeven even
twenty-threeven
threeven triply even
doubly feven
thirteeven even
triply threeven
seeven doubly even
twenty-neeven
feven threeven even
thirty-oeven (oeven is pronounced "weeven")
quintuply even
eleeven threeven
seventeeven even
seeven feven
I like this a lot!
So, Base 12 and you get optimal use of threeven and even, base 30 and you get optimal use of feeven threeven and even, and base 210 you get optimal use of seeven feeven threeven and even. Or go really wild and do base 15, because nobody needed 2s anyway.
Base 6 gets optimal enough use of threeven and even, although base 12 gets "doubly even" in the mix too. And yup base 30 would be good IF fevens were as important as threevens but since they aren't, base 6 or 12 would work great
@@ComboClass Base-16, ditch the threevens. Embrace the evens, doubly evens, triply evens, and quadruply evens.
Now what about Quevens and Quods? And of course, we'd need Pre-Queven Quods, Post-Queven Quods, and Half-Quevens (aka non-Queven Evens).
I feel like the Doubly-Xven notation misses out on the individual flavor of each. We're basically getting into the territories explored by time signatures from musical notation with this, and I feel like the focus solely on constructing via doubling misses the patterns comprised of adding smaller patterns. For example, "Feven rhythms" are built from groups of two and three beats, rather than merely being a group of five. This ties together all of the primeven (i.e. congruent to prime numbers) as being the additive combinations of other congruences.
Man your exploding!!! Keep it up?
would treven/treeven also make sense as a name for it
when will you do a base 12 video.
My next episode shows some "mod 12" patterns, which is similar to base 12, and shows ways mod/base 6 and 12 are both neater than 10. And in the future, I'll do some episodes that are especially focused on that. I personally have grown to like base 6 the most, but base 12 is great too (both are far better than base ten)
@@ComboClass can't wait
At 5:25, what he calls clover is not actually clover. It is a type of wood sorrel
I was just about to make this same comment. It looks like Oxalis per-caprae or maybe Oxalis stricta?
what about eleven and elodd
The colour example is a bit contrived, colours vary continuously
It’s not, human vision is based on three colors
Hahahahaha, breaking the eggs 🥚 was cool but got me curious. What’s the fire 🔥 meaning? Why the inside out lab 🥼 coat 🧥 mean? What does a dirty lab 🥼 coat stand for?? So many interesting props. I get the clocks ⏰ and dice 🎲
My favourite "threeven thing": the 3 normal constituents of all matter - protons, neutrons and electrons.
8:02 In Poland, they mostly come in 10s, and since 10 is a nice number, I thought that was the case everywhere. Well apparently it's not
12 is a *nicer* number -- that's the point!
Finally, a video that explains why 3 is the best number.
Every firstborn child has created a threeven family!
5:35 “I think we should call it a threequel” lol
I have recently stumbled onto your channel by the “Palindromes” and “Levels Beyond Exponents” videos, I seem to like these videos much due to your unique style and high enthusiasm. I also have some funny moments and comments you might want to clock into below :)
“It is very fundamental in life *being doubled* [1] or *being cut in half* [2]”
“Franchises like Star Wars make trilogies on trilogies[3]”
“Now it might seem I’m asking a lot to add a new word to an official dictionary[4]”
“about a thorough roast of millions, billions and -illions, all being terrible numbers[5]”
[1] yes, it’s *almost* perfectly normal.
[2] Darth Maul. Periodt.
[3] It would be nice to have a 3rd order Trilogy Stack (as Trilogy Of trilogies Of trilogies), albeit that would be 27 movies, too overexerting 😅.
[4] no, people don’t use many of those 100s of 1000s of words, one only needs about 200, this word can still be used by Mathematicians, nobody uses the word ‘Vector’ outside of stuff involving maths or biology.
[5] We need a composite system from which people can pick according to what they want.
And that's why I love the number 3