Musical fractals
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- Опубліковано 2 кві 2017
- Be sure to check out my video on HARMONIC POLYRHYTHMS to better understand why this crazy illusion works!
• Harmonic Polyrhythms E...
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SMASH MOUTH FRACTAL
drive.google.com/file/d/0ByLK...
Peace,
Adam
I'm an engineering major at my university, but also completing a minor in jazz through our music college, and you can't imagine how much this video turns me on.
SophisticatedBanjo a minor in jazz....? Why am I not doing this???
a minor jazz is the best kind of jazz
I'm a Sound Engineering student *and* bassist, so this whole channel is heaven for me.
iopklmification a minor jazz is also the most deliberate kind of jazz - it's never accidental.
only on a channel like this will I find jokes like this.
When you are a musician, a nerd and a memelord at the same time. You are amazing, Adam.
Oh boy will memes get interesting now
"We are number one but it's made of All Star but it's made of Bring Me to Life but every time they say 'Wake me up' it's made of Darude Sandstorm"
Oh no baby, what is you doing? lol
The Real Flenuan how can words do what you just did to my brain
This could destroy the Universe!
DO IT!
I've tried to do this but the problem is every time you try to listen to it, all that cames out of the speakers is...
"We're no strangers to love..."
+Yungblut
"You know the rules, and so do I..."
All Star by Smashmouth except every note is the audio from the entire Bee Movie
I call dibs on this
MAKE THAT
And then all you need to do is generate the audio in the Bee Movie with Smash Mouth
Do it with Shrek audio
A fractal isn't strictly self-similarity; it's actually refers to infinitesimal roughness. The same way that when we study calculus we think that if we zoom in far enough on a certain curve, it will be a straight line, fractals allow us to say that the line will still be rough.
Because we can ignore the notion of self-similarity, you could conceivably "compose" a MIDI patch using the method from this video.
It would be really interesting if "All Star" by Smash Mouth composed of "All Star" by Smash Mouth composed of "All Star" by Smash Mouth would sound at all different.
Edit: typo
As 3b1b once said: Fractals aren’t typically Self Similar
Actually, to be precise, some fractals, like the Koch curve, Sierpiński gasket, and Menger sponge, *are* strictly self-similar. Others, like the Mandelbrot set and fractals that occur in nature are approximately self-similar (over a limited range for those in nature). And, yes, some fractals are statistically self-similar and this type of scaling can occur in music. Adam's example is a great demonstration of fractal scaling!
@@HarlanBrothers You are missing the point. The definition of a fractal is not self-similarity. Almost all fractals are self-similar. However, some fractals are. You are misusing the word "strictly" here, which implies all fractals are self-similar, which is false.
@Angel Mendez-Rivera Hi, Angel. It's not clear what point you think I'm missing. I was lucky enough to work closely with Benoit Mandelbrot and I try to be precise in my descriptions of fractal phenomena. This brief article might help clear things up: www.cantorsparadise.com/what-makes-something-fractal-c3609996178b
@@HarlanBrothers Insisting that you are correct because you happened to work alongside Benoit Mandelbrot does not actually mean you are correct. The source you cited is not scholarly, and your definition of a fractal is incorrect. It is widely agreed by mathematicians that fractals are not, in general, self-similar. The most commonly known ones are, but this is irrelevant. Do you care about boasting about your credentials, or do you care about presenting information that is accurate?
Alternate Title: All Star but all the notes are actually hundreds of All stars but sped up 1024 times.
(did I get that right?) Great video btw
Lithium Polygon if he made a separate video with this title and just showed the song, it would get millions of views.
All Star but every note is All Star
400th like
In order for it to be a fractal, it needs to sound like smash mouth again if you show it down more, ad infinitum. Basically, you need to figure out an algorithm that determines at each sample whether it's "on" or not, then generate the wave or midi file... ... Okay, I'll do it.
I do believe you're correct. Not a fractal, but definitely very cool.
hook it up!
Actually, if you reverse your thought process here, he's already started from the smallest unit. What you should do now is make the entire current file into the new pitch frequency and repeat the process over again to see if it works...if it doesn't break your computer (or Ableton Live) first.
Moses Ramirez - remember that a fractal is a *formula* that produces a series of infinite regression and infinite repetition. If someone were to repeat Adam's process a number of times, that still doesn't make it a fractal. For this to be a fractal, Someone needs to write a formula that produces the song with infinite regression.
Adams process isn't a musical version of a fractal. It's more like a musical Mazaika, where an image is made of hundreds of other smaller images.
I reckon this is closer to recursion than fractal.
"soon we'll have fractalized the entire melody"
- Adam 'Professor Farnsworth' Neely.
*Smash Mouth*, in any reference frame, sounds just as sweet.
Thanks for proving that unequivocally, Adam.
so the grand unification theory is that Smash Mouth's All Star, Einstein's General Relativity and Shakespeare's Romeo and Juliet are all the same thing? Awesome.
Hey, Alex!
Although why am I even surprised. I just looked at your featured channels and I'm subscribed to more than half of them.
wingracer 16
Don't forget the physical models postulated by Dewey B. Larson.
You sir, are the sharpest tool in the shed.
Adam, you are brilliant! You have actually shown why music is a culture's point of view or 'take' on rhythm, which is the higher level fractal recursion of the fundamental of frequency, which is itself a fractal of the electromagnetic spectrum (ems). After all, everything in the cosmos exists within the 72 octaves of the ems and this explains why sound is simply a set of lower frequencies than light, which is just a lower octave than x-rays and so on. Vibrations are scale independent but have exactly the same shape. The musical note F# vibrates at 375 cycles per second, its colour octave is Red and it vibrates at 375 trillion cycles per second. Everything in Universe vibrates and is connected. We are not only star stuff, we still resonate with the energy of our explosive star parents and we live as a fractal of the quantum realm - connected to everything in the cosmos. Thank you.
There's an entire genre built around exploiting this phenomenon. It's a subgenre of speedcore, called "extratone".
He gave that pitch a ratio. Pitches love ratios.
You could totally go up in layers with this! Turn the All Star made of All Stars into All Star!
Luke Menniss Just like.... just like an Ogre!
Wes Tolson just like an onion
That's the idea of a fractal, but then with downward repitition instead of upward.
The memory use would (ignoring the possibility of more efficiency by maths inside the program) exceed the possible after a few layers, I guess.
Assume you had 1 note in All Star. Just for simplicity...
Let, at 1024x, the size of one hole melody equal the size of one of the original notes. This would mean:
original note * 1024 = one new note = one shrinked copy of All Star
After 3 layers (^3), you had more than one Milliard = one Billion notes (2^30). If each of them is just one Byte, this relates to excactly 1 GB. Let the RAM enjoy that. And it's more because of many notes in All Star and many bytes to store a note...
A. O. It could be possible if you create a program to create it automatically in a file and then read a Filestream instead of the file in memory when you read it. The only thing that limits you is your hard drive. Plus, since there are only 12 notes, you can compress it to a 4bit words to halve the size of the generated file.
With custom made software, it's certainly possible.
When a music channel starts being about maths fractals and Gödel Escher Bach, I know I’m subscribed to the right channel.
i loved godel, escher and bach. it was the first resource that helped me realise that math is just a set of linguistic tools that we use to describe objects and their relationships, and that i wasn't bad at math. this was a really interesting and educational video, thank you for making it!
Wow, that's the first time I've ever seen Gödel, Escher, Bach referenced somewhere. I read it some time ago and it sure is worth reading, although its length might seem discouraging. It brilliantly describes how mathematics, art (as done by M.C. Escher) and music are related and connected and inspire each other. Very mind blowing book!
I love that book, I have a copy
GEB is referenced pretty often in certain communities, actually - it's considered one of the greatest works of nonfiction in the second half of the twentieth century.
I skipped 30 seconds in and thought that this was just the musical interpretation of the mendelbrot sequence and it was all star and I started to understand that memes were the fabric of existence.
...stegophonia, the NSA's newest nightmare. What will people hide in their music!?! (And you thought back-masking was a terrible idea.) :-) Nicely done.
Music + Math + Memes + Fractals... TODAY IS A GOOD DAY
Yes, but can you make a fractal rickroll next?
What a concept!
Really cool idea, Adam. And the concept of rhythm and pitch just being different aspects of the same phenomenon (at vastly different speeds) is fascinating.
Thank you so much for taking the time to do this, your channel is about so much more than music, if you're delving into these subjects
I think the wrong person on the internet has the name of "the Internet's Busiest Music Nerd".
work smarter, not harder
After 64th and 128th speeds it sounds like Mega Man sound effects.
wait... so does that mean than Mega Man sfx...
I rewatch your videos all the time man . People like you make learning about music freakin great and interesting. You're a genius!
BASS!
as a guitarist (after playing drums for several years) , i have learned so much from these videos! i appreciate the information presented, being self taught on guitar. If i didnt have a solid classical/jazz background in percussion, i would be lost! Just the right point of mind blowing, challenging info, without losing interest, or being too complicated! These "Bass Lessons" are improving my guitar, all around! Thanks Adam!!
WHAT ARE YOU DOING TO THAT FLOPPY DISK DRIVE?!?!?
Smash mouth all-star but every note is the entire melody of smash mouth all-star
Your videos are so great! I'm glad you mentioned Gödel, Escher, Bach because I also thought of that great book and always do with this kind of stuff.
Seriously dude this kicks so much ass. You kick so much ass! Your exploration of all this wonderful rhythm and harmony shit is incredible borderline genius. Love it man
This is the coolest and also dumbest thing I've ever seen. This is the best channel ever.
That "synth sound" fully sped up sounds a bit like a musical floppy drive.
holy shit. adam thank you for being a wonderful music and all around nerd. you make my addiction to music more and more in depth with each video.
This is ace. You're definitely on the right path, dude. I was watching your previous video about polyrhythms becoming pitches and vice versa and the next day I stumbled upon one of those Numberphile videos explaining those visual fractal videos - I realised then that it could be done in music, so I was asking myself that point already if Adam Neely has done it before or if not, it's just a matter of time when then. What are the odds. Congrats on this!
Is this meme
is slightly meme
much meme
Whole lotta meme
This is meme with a side of meme.
This is meme inside meme inside meme
Si, yo también vengo por Jaime Altozano :D 👍🏼
The way you referenced some of your previous videos in this was really incredible
I'm so glad you did this, your video on the harmonic polyrythms got me wondering about the exact same thing, but I didn't have the software to do so.
There is a melody out there somewhere, or yet to be written, that makes a decent saw tooth or close to it. Also, the synth that all-star yields sounds a lot like those programs written back in the days of 5.25" floppy disks that would make the drives 'sing' tunes. If you haven't heard of those, look them up sometime, it's odd to say the least, and not a pleasing sound to most, but it's a cool thing to look at.
Gödel, Escher, Bach is my favorite book! I'd love for you to do more videos influenced by it!
You might find Stockhausen's How Time Passes interesting. It's a great little essay from 1957 which argues that pitch and rhythm are the same thing happening on different timescales. Anyway, this is a fantastic demo of the concept! Thanks for sharing.
dude this is crazy - i'm searching for a musical approach to fractals since over a year and thats the best one so far ... let's see how much we ca go further ;) ... please keep on making videos like that (and waisting your time like you said :P )
Thank you for making videos like this. I really love them. I came here for bass but got so much more!
I love when people have a convoluted and impractical idea for something awesome and actually do it.
Love it.
I think Adam has discovered a key to time travel. He IS the MAD scientist of music! ..and he loves kitties!
Excellent!!!!
Man, that's an enormous amount of work....
You touched on something that I haven't heard discussed... and that is Rhythms generating Tone/Melody when sped up.
I had this discussion with a teacher of mine back in 2001, and never thought about it ever again.
Never in 1,000 years would I have expected anyone to do this!
So, cool!
BRAVOOOOO!!!!!
Your page is incredible!
Shared with our 3 college aged grandkids! (All served as first chair in high school band).
Remember: Science DISCOVERED mathematical sequence, God CREATED mathematical sequence. There is so much more to learn!
Great work! Thank you!
allstar but every note is allstar
Lol
Another music/math idea you may wanna explore is the idea of information theoretic entropy and how it relates to the efficiency of various musical instruments. For instance: the idea that stringed instruments can produce the same frequency in several different ways, whereas instruments like the piano or flute are limited to producing a frequency in exactly one way. Curious if this affects how said instrumentalists think about music.
I think it'd be fascinating to see your take (and if you find any research) on this idea. Admittedly, the idea of entropy from an information theoretic perspective may be too math-y for some, but if anyone can make a good accessible vid on it, I think you can! (Sorry in advance if I spam other vids with this comment).
Another amazing Adam Neely video, fantastic and interesting as always!
Thank you for constructing this video. It's a beautiful moment in time demonstrating the connections of all and one. As above so below. You are doing great work. Much love. I am excited to share your work with others.
Adam Neely: professional musician, seeker of knowledge, lover of memes.
FAIR WARNING - I'm actually a mathematician and used to be a professional violinist, so your channel has held a vested interest for some time :P
So, I can confirm that this will (most probably - I've not proved it yet) qualify as a fractal. Fractals are formally seen as an extension of symmetries. Originally, symmetries identified by mathematicians were symmetry by rotation, reflection, and translation (or in other words, spinning, flipping, and sliding around). Fractals have a nice definition as 'symmetry by magnification' - that is, if you zoom in on a fractal, you see copies of the larger shape of the fractal buried within the fine structure of the fractal. (there's also a notion of fractal dimension, which is distinct, and not that relevant here, I don't think - but Physicists use it a lot).
So, taking our metric of magnification as 'time dilation', this does indeed qualify! As you 'zoom in' on individual time 'pieces' (MIDI beats, in this case), you find copies of the large structure buried in the fine structure. I'm confident that this actually qualifies it as a de-facto fractal! :D
I was already onboard, but that Arrested Development reference was the cherry on top. Your channel rules man!
Dude you make the most mind blowing , inspiring, amazing videos on youtube (for me)! Thanks a lot! Amazing work!
This was very interesting. A bit over my head I have to admit. Very interesting none the less.
Jeff Whittle Yeah, same here!
Somebody should write a program that generates the synth sound with this process, so we can hunt for the most pleasant recursive synth sound and melody
I've been using this trick for years. What you referred to as a crappy synth sound, I've always found to beautiful and interesting especially when you expose it's guts by slowing it down and changing the intervals. I normally use an audio sample of the test tone from an old Akai S01, chopped into halves until it becomes ridiculous and repeating it in both random and calculated sequences to build notes. Strange things start to happen. I usually alter some of the more interesting results by transposing them with a pitchshifter or simply slowing down or speeding up the sample. I've experimented with many different starting points like pianos, drums, voices, powertools, guitars, animals...you name it.Awesome video. Keep up the good work.
This is like the 5th time I've come back and watched this video. Absolutely amazing.
Now add another level of nesting.
AllStarceptionj.
Hi Adam. Given that rhythmic and harmonic ratios are both frequency ratios, what do you think of the idea of "metric modulation", of modulating the pulse of the music as one might also do with the harmony? For instance, let's consider modulating to the dominant. In rhythm that would be having the main pulse fit in 6 beats where there once were 4. Imo the eventual implications are staggering because this gives the entire rhythmic spectrum as we have the harmonic spectrum, and can use what the common practice period discovered harmonically in RHYTHMIC relationships. Even though I have not thought about this much, I bet that these rhythmic changes would be an understandable idiom if they used conventional harmonic rules for their changes. I could easily see a piece presenting a first theme and its development, and then exploring the rhythmic dominant (3/2), and so on the way harmony was used in large scale organization.
Well I just watched that other video you had now and it seems you were explaining this very concept, except you seem to miss the areas of application because it could never meaningfully handle the full complicated treatment that harmony has. I think these changes should only occur on the scale of key changes rather than say chord progression for the sake of performance and listener, and to bring a new clearly linked dimension to contrast and bring together motifs. But I think the connection in reasoning here is the first step to doing many great things.
Hey man,
You might be interested in looking into "irrational" time signatures - where the bottom number of the time signature is a number that doesn't divide by 2, e.g. 3/5 or 7/9. A useful link to get started would be en.wikipedia.org/wiki/Time_signature#Irrational_meters.
en.wikipedia.org/wiki/List_of_musical_works_in_unusual_time_signatures also lists a couple of pieces with some different denominators if you want to find some examples of these in music (although I believe there are only two or three examples on there - irrational time signatures aren't particularly popular). Metric modulation, on the other hand, has been used a bit in music since the 20th century - for some very recent examples, I would suggest checking out the endings of "Binky" and "Flood" by Snarky Puppy, where it sounds like they've changed the time signature and tempo, but in reality they have in fact stayed the same - the pulse has just shifted. Happy searching!
I guess the biggest difficulty in telling if there is even such a relationship in the Snarky Puppy ones is that they have arbitrarily long pauses before they change meter and thus the meter is interrupted anyway, so it is hard to tell what relationship it has to the one before. Cool music though.
Trying to wrap my head around what you're suggesting and it's pretty interesting, certainly something that gets hinted at within the larger jazz/prog/math/minimalism/avant-garde/experimental canon (so many genres, so much rhythmic fun), but that I can't say I've ever heard a band using productively with that intent. Do I understand you correctly - you're essentially talking about using polyrhythms that would be complementary chords and melodies if sped up, but instead playing them at tempos that we perceive as rhythm; and hoping that people might learn to perceive the rhythmic relations just as we perceive harmonic relations?
If that's what you mean - I'll test out writing a typical pop chord sequence as polyrhythms see how it turns out, and maybe post a soundcloud link.
Paste this instagram url /p/BScjI2lAZ9p/?taken-by=campbell.i
I wrote out the rhythmic homes and equivalent harmonic keys in a partial circle of 5ths. As you can see from that, if you go too many steps along it, the rhythmic relationships are too disparate to imitate normal harmony and melody meaningfully (if you make a major triad in 4 measures of 4/4, the root is 16 beats, the 5th is 24 beats, and the 3rd is 81 beats!) The one relationship I do think people may get used to though, is that of closely related key changes. And so that would be a large scale device used to divide up sections of a piece, (A section in the home key, B section in the dominant, etc). You could also take inspiration from fugue type writing where you modulate the rhythmic meter between the dominant and home key and just use those "home beat" changes of perspective to recontextualize themes/grooves and play around with all kinds of stuff. Imagine a piece that starts off with a certain theme that you get used to and grounded in, and it continues while the beat itself changes making quarter note triplets the new home beat. It could introduce a countertheme in the new meter that works alongside it. Then the beat could change back and you have new perspective on which of the themes feels more at home. In addition to this you could swap the rhythmic homes of the different themes, that would be quite the exercise in counterpoint to have 2 themes that work at both the ratios of 3/2 and in 2/3. Imo pure 2/1 diminution and augmentation is more like octaves, going nowhere. 3/2 and 2/3 introduces a system of nested relationships and changing perspectives.
Hi Adam!
Love your vidz man! Would be fun to see a video on historical usage, modern usage of the golden ratio in music, and also how to use the it when composing your own music.
Cheers from an Asian Swede in Norway!
I love your channel. I play the piano and and it’s so interesting seeing how music really works
This is the magic of the universe.
I can't even explain this properly, so I always sound like some New Agey kook when I try to.
But basically, the powers of two contain a secret.
People often fail to realize that "0" and "1", on different levels, are equivalent to powers of two, and that all matter and spacetime is built up of fractal levels that scale continuously. Everything is frequency.
If you have a whole piece of something, and you cut it in half, and then in half again, and so on, and so on, eventually you get a very fine grain. When the grain is fine enough, there's no difference between it and the whole you started out with, because that whole itself was already composed of very fine grain at different levels of structure (atoms, molecules, tissue etc.). This is equivalent to what happens in this video when it goes to 1/1024 speed and it's the same melody as the original. I was also reminded of it when they did that experiment where they cooled something (I think it was helium) below absolute zero, and it got really hot.
There is no big and small in the eye of God. Everything scales continuously. All is relative to your level of analysis.
Pfft, this is so difficult to explain. It can drive you mad if you're not careful. I studied this and nearly became a mystic.
I hope some of you who read this can understand at least a little of what I'm saying and don't think I'm crazy.
Ah I love acid
I was extremely high a couple nights ago and “invented” this exact method in my head but did not want to spend hours figuring out how to program it on ableton. I was hoping some UA-cam genius had already done so and you did not disappoint.
Very interesting as always, Adam - well done! Keep it coming
I'd like to hear your thoughts on bass guitar science/myths/etc. Stuff like the effects of scale lengths, tension, string break angles, different types of strings, conserving timbre, etc, etc. I've always played bass partially because of the endless nuances, I'm always "hunting" for tone and always tweaking stuff. Cheers!
Your videos and GEB: Golden Braid have been instrumental to my own research. Thank you, Adam Neely
This is amazing. I'm wondering, though, couldn't you use another melody besides All Star at the micro level to achieve the same effect? For example, couldn't you generate the melody of All Star with some other pop song's hook as the foundational underlying unit (assuming that said melody is sped up enough and set at the appropriate ratios)? Seems to me that basically any sound could be used to build a larger melody as long as it's played back fast enough and set to the right ratios. It wouldn't need to be the same melody as the one it's generating. Right?
I'm not enough of a math wonk to think that one out, but it sounds like a fun experiment.
Yeah, but then it wouldn't have that sweet fractal association
I had the very same thought, and I'm pretty sure that that is the case. The "unit pulse" seems to be arbitrary
Yes, you definitely could, and as a matter of fact you can construct whatever one you use out of another song. You could technically mash every song ever made into a single one.
Yea, you could see the underlying All Star hook as the waveform, which could also be any other waveform, I suppose.
Mind. Blown. Thanks. Adam. Memey. :)
BASS.
Fractals fascinate me, thanks for this demo of one way to use them in music!
Thank you, Mr Neely, always amazing and educational. Please keep up the good work!
You messed up the title, Adam. It should be: "ALL STAR BY SMASH MOUTH BUT EVERY NOTE IS ALL STAR BY SMASH MOUTH AT LEAST 20 TIMES"
As I've learned in 3blue1brown's beautiful video "Fractals are not always self-similiar", well... as the title says, self-similiarity is not what makes a fractal, it's enough if upon zooming in, there is still a lot of, what in the video is called "roughness". That means in your case, using Smashmouth's "All Star" to recreate "We Are Number One" would also have been a musical Fractal, just not a self-similiar one.
It also would have been an amazing avant-garde extratone tune named "We are Number One but on every note it plays Smashmouth's All Star at different ridiculous speeds to create a musical fractal".
I hope you get to use Smashmouth's "All Star" in your next few videos as well.
Hey, Adam. This video, and the one about the fastest music possible was really interesting! There is a wonderful electronic track that kind of explores the idea of self referencing and increasing its speed until you only perceive a pitch. Aethek - Vertebrae
Stellar work!
Absolutely Fascinating!🙌🏻
5:00 How death grips makes a beat.
Basically what happens when you close your eyes on acid
Wow, this and the All Star/Stravisnky videos were really something else, so great !
Incredible. You're very inspiring to me, and I thank you for that. Great content Adam
Maybe it was the use of Smashmouth, but if you were to apply the same principle to every episode of every TV show that Guy Fieri has every made, would this make a flavortown fractal? In reverse if you were to zoom into Guy Fieri far enough, would his existence be simply made up of gratuitous shots of himself shoving food into his face? Flavortown isn't the destination - its the journey.
Yo dawg I heard you like all star so I put an all star in your all star so you can get out of my swamp while you get out of my swamp
Awesome video brother, earned my sub. Love the theoretical implications from your research too!!
Adam holy shit you are the man. My new favorite UA-cam channel
ah, i thought this had a GEB vibe. reading that book right now, it's really heavy reading tho
Croix total mind bender, just gets more crazy!
so if pitch is just frequency
and light is also just frequency
and you can speed up pitches to make new pitches...
could you take a single white light and flash it on and off fast enough that you would perceive it as color?
assuming that it doesn't give you a seizure or mind-splitting headache first.
the ocarina bard it would be quite challenging to create some kind of device that could strobe white light at a frequency that would be perceived as a color, litteraly flashing on and off at a speed only a few fractions the speed of light, but i suppose it’s theoretically possible.
I like the question?
The issue is that visible light has frequency in hundreds of terahertz, far beyond any switching mechanism possible.
Not to mention light has a dual nature besides the wave nature it also has a particle nature.
the ocarina bard, sorry dude but your comment didn’t make much sense.
You're so smart, the world needs more people like you! Keep researching... Amazing job
This is great, and you even referenced GEB! At the same time, I think your approach is very original - usually when people talk about the relation between music and math, they consider it from a very music-theoretical angle, but for you the basis is the physical nature of sound, which I find quite cool. I'd definitely like to see more of this, also in relation to timbres (so when a violin, or other instrument with a rich sound, plays, does it basically play stacked, spread out major chords?)
The 5 dislikes were the band members of Smash Mouth
_Alguien esta aquí por la sugerencia de Jaime Altozano?_ :v
Deep video.
Liked that.
I liked the transition between music and programming and maths,
Luv and Peace.
Quine! Being a computer engineer it was really fun to find that term in your video :D loving your content!
Shitposting has never been this musical.
Brilliant as ever. Fractals also appear in song structures; which are a series of *calls and responses* at different scales. You have a *verse* which is made up of short calls and responses - and the verse as a whole will probably be split into two halves which has a call and response feel. The *verse* contrasts with the *chorus,* which, if we were to observe the song as a whole, is in fact another call and response!
We could even say that the first half of the song - which might be *verse/chorus/verse/chorus* is in contrast with the second half of the song, which might be the *bridge/chorus* - and this creates yet another layer of the call and response fractal.
Do you not understand or does nobody care...?
Dude. You waited an _hour_ before getting snippy with your reading audience. Calm yourself. Most of what you write will disappear into the ether, so yes, no one cares, or everyone is stupid. Pick one. Still doesn't matter.
I would say without any malice that this is questionable. You (as in an artist) could say a song can continue in a fractalized pattern, but you can't say that for every song - most have a definite limit. If you can't show a statistical pattern that can be extended to produce _more song_, it's not fractal.
Lmao how wrong can a single human be?
As many others, I also came here by Jaime Altozano, a spanish musician and youtuber that recommended this video. And I no regret, this video is awesome! I liked it so much. Keep with this!
Aiaja
This is the best video on UA-cam. Bonus points for using 'comprising' correctly.
Like si vienes por Jaime Altozano
Gödel -> "girdle"
Almost.
GED is one of my favorite books, I've been re-reading it occasionally for last 10 years or so - wherever and whatever page I open, I can immerse in it within seconds...
Brilliant job, Adam!