It's the whole tone scale! That specific series of six notes, do, re, mi, fi, si, and li (which are, in this case, C, D, E, F#, G#, and A#) are often used for making mysterious, dreamlike songs in movies and video games. Each note is spaced two semitones apart. It sounds particularly like the Chamber of Sages here (which also uses this note set) because we're in the same key (C).
So um, for the square: Yes it will not work if the line ratio is 0.5. Cuz in order to the sierpinski carpet to be made, you need the line ratio to be 2/3 at a random vertex AND MIDPOINT. So restricting the process is the only best way if you run the chaos game to the circle of fifths
it would be interesting to hear what a different selection of notes assigned for the octaves or halving of the distances between the two points instead of repeating the same pitch. eg run through the harmonic series using that note that is being halved as the fundamental, eg at 0.49 E, E, B, E, G#B, D and based over a C fundamental C, C, G, C, E, G, Bb and etc
on the first one if you started with a point that doesn't lie on the triangle, or if the first line's middle point doesn't fall in the triangle, would it still work?
I would like hear it in chromatic order instead of the fifth intervals… also i think it would make more sense if by each devision its going one octave up:)
Question 1: What happens if the initial random point is selected within the final picture empty space? Question 2: Is there a known formula for calculating the line ratio?
Yeah, I was wondering that too. You mean to tell me that of all those "randomly chosen" points NONE of them were in the central triangle/hexagon whatever, or in those large blank areas outside? I call BS. Maybe I missed something about the rules for choosing the initial points, but while it's theoretically possible that a truly random process would just happen to not have any points in those regions, the odds are vanishingly small.
@@ptorq The empty areas make sense to me, due to the geometric nature of how the points are selected after the first. From my understanding, it's a similar process to fractals generation, which also result in predictable "void" areas. What I wonder though, is what his little program will do if the very first point -- that is being described as being trully random -- is plotted inside one of those void areas.
maybe the 3 circle points and the midway process are just using the chaos dots to display 'their' structure/ so it's not as much the chaos initially containing any structure. if the rules were for example non-equilateral placement, the chaos would 'display' the structure of that arrangement. But but maybe we could consider randomness a rule like the others, what happens next you won't believe! Just kidding i don't know what would come out of it. Oh you could use digits of pi or phi to replace random().
we could say but not really understand "it's not order out of chaos, it's chaos into order or constrained by order, or marshalling chaos or classifying random things like positions (or distances) in the game's domain.
What is the connections with circle of fifth? Except the circle? The notes are not even related to the position or angle inside but only to the random note (and not even the good one) i dont t deny the beauty of maths here (that are not a scoop but ok it is nice) but why underlying lies like wrong links
The 3 points on a circle producing the Sierpinski triangle (the 1st example in the video) is a well-known mathematical phenomena. The circle of fifths really has nothing to do with it, just as the "halfway" notes are in no way "halfway" between anything and anything. I don't mind though -- I think the fractals still are cool and (for most people) unexpected, and the notes add a fun dimension to watching the video.
Nice video! I had no idea about "chaos games". I'm curious, though, what language and libraries are you using for visualizing these fractals and playing the notes?
This might be a dumb question, but is it possible that this relates to those sand vibration experiments? Where you put the sand on the speaker? The patterns look very similar.
Very cool! Depending on the starting point, the first x number of points won't fall within the shape the points converge on. Do you know if there's a specific number of iterations after which all points are within the shape, either for each kind of shape or for all of them as a whole?
You're really restrcting yourself by doing these in the Circle Of Fiths. There are plenty of chaos games that are interesting that aren't mutliples of 12.
Has nothing to do with the circle of fifths though. It just depends if you start with an equilateral polygon like triangle, hexagon, etc. It's not the magic of music, as one might think when reading the title ;)
The circle of fifths is just being used here as a vehicle for adding *audio* to these well-known fractal visualizations. It facilitates a basic form of *algorithmic composition* of music to accompany the chaos game visuals (algorithmic composition is a common theme on this channel). It should be clear that the circle of fifths is not "producing" the fractals, but rather the fractals are just being superimposed on top of the circle of fifths, merely to add a musical element.
What if a non-regular polygon is chosen? Like a Maj7 chord or something of the sort? Could a suitable ratio be found, or will it just result in visual noise?
In accordance with things like the Wolfram Model, and Computability theory in general, there exists larger and larger spaces of initial conditions, such that you can construct any given output (shape in this case). Alternatively, you can consider each point on the circle as a set that you can map to some other set (like say, mapping the 4 corners of a square, to 4 corners of a rhombus), and consider that each function you do, which produces a unique mapping also has that unique mapping transformed in the same way. So depending on what your transformation of the object was, determines what kind of transformation the output shape undergoes. Let's just pretend we knew the answer and that transforming a circle to an oval was an affine transformation for the output fractal. The output shape which is still technically the same fractal pattern, might be a rotation in a higher dimension, resulting in noise in our lower dimension, since we can only see this 2d sirpinski triangle from this 2d view, rotating that 2d sirpinkski triangle would look like nothing interesting to us (noise) Essentially you can imbed any information into this structure. Accessing the thing that you want, so that you can see it, is the hard part.
What happens in the sierpinski triangle if the initial point selected is in the largest "blank" triangle in the middle somewhere? Would it be the same but with an extra dot where you started?
9:00: Coltrane is jealous.
4:52 its amazing how similar this sounds to Chamber of Sages from Legend of Zelda.
It's the whole tone scale! That specific series of six notes, do, re, mi, fi, si, and li (which are, in this case, C, D, E, F#, G#, and A#) are often used for making mysterious, dreamlike songs in movies and video games. Each note is spaced two semitones apart. It sounds particularly like the Chamber of Sages here (which also uses this note set) because we're in the same key (C).
Haha thought the same thing g
It even looks a bit like the chamber of sages from top down too
haha
So um, for the square: Yes it will not work if the line ratio is 0.5. Cuz in order to the sierpinski carpet to be made, you need the line ratio to be 2/3 at a random vertex AND MIDPOINT. So restricting the process is the only best way if you run the chaos game to the circle of fifths
That is more the result of the chosen method rather than something to do with notes and music.
Must be what Spielberg was thinking b4 he made close encounters
it would be interesting to hear what a different selection of notes assigned for the octaves or halving of the distances between the two points instead of repeating the same pitch. eg run through the harmonic series using that note that is being halved as the fundamental, eg at 0.49 E, E, B, E, G#B, D and based over a C fundamental C, C, G, C, E, G, Bb and etc
i just listened to fractals for so long
Me at the doorbell forgetting I have the house to myself for an hour:
3:25 fractal sounds.. awesome 😎
Super cool channel man!
Its nice you doing other sort of content!
7:01 Now *that* is what I call, the Koch Hexagram!
The C minor note sounds like a coin getting collected in a game when it is speed up
The sounds are satisfying
Why is 0.789 used on the dodecahedron fractal?
Dodecagon! Polygon is 2d, polyhedron is 3d!
on the first one if you started with a point that doesn't lie on the triangle, or if the first line's middle point doesn't fall in the triangle, would it still work?
Algomotion voice jumpscare???
Beautiful
Simple: By introducing an algorithm(ie pattern), a structure will always proceed
Summon the Triforce
7:54 fire music ahead
The dodecagon is super cool
13:34 sorting algorithm on 4 uniques ahead
But this is true for any triangle, why the circle of fifths?
I would like hear it in chromatic order instead of the fifth intervals… also i think it would make more sense if by each devision its going one octave up:)
9:50 sorting algorithm ahead
The square one looks like 2 pulsar state
Run first triangle game again, but first random point start in center. What you'll get?
Look at all the little triangle people
I tried doing it, but it doesn't work.. Maybe I didn't do it correctly idk.
Which software did you use to simulate?
Question 1: What happens if the initial random point is selected within the final picture empty space?
Question 2: Is there a known formula for calculating the line ratio?
Yeah, I was wondering that too. You mean to tell me that of all those "randomly chosen" points NONE of them were in the central triangle/hexagon whatever, or in those large blank areas outside? I call BS. Maybe I missed something about the rules for choosing the initial points, but while it's theoretically possible that a truly random process would just happen to not have any points in those regions, the odds are vanishingly small.
@@ptorq The empty areas make sense to me, due to the geometric nature of how the points are selected after the first. From my understanding, it's a similar process to fractals generation, which also result in predictable "void" areas. What I wonder though, is what his little program will do if the very first point -- that is being described as being trully random -- is plotted inside one of those void areas.
Hexagon Chaos game it look likely at number ???[2]
where do you generate these?
Sierpinski did the Triforce before it was cool
What software is this and can it be used in a DAW like FL Studios. Thank you!
How the hell do people even make these.. like what program or coding is it
maybe the 3 circle points and the midway process are just using the chaos dots to display 'their' structure/ so it's not as much the chaos initially containing any structure. if the rules were for example non-equilateral placement, the chaos would 'display' the structure of that arrangement. But but maybe we could consider randomness a rule like the others, what happens next you won't believe! Just kidding i don't know what would come out of it. Oh you could use digits of pi or phi to replace random().
i started writing this in Daz Studio (Qt/Javascript1) charged particles interacting through time so motion.
ballz = Scene.findNodeByLabel("ballz");
nodes = ballz.getNodeChildren();
f = new Array()
for( i = 0; i < n; i++ )
{
node = nodes[i];
f[i] = Math.random() * 2 - 1;
obj = node.getObject()
if( obj )
shp = obj.getShape(0)
mat = shp.getMaterial( 0 );
if( f[i] < 0 )
mat.setDiffuseColor( Color( "blue" ) );
else
mat.setDiffuseColor( Color( "red" ) );
}
dsg
we could say but not really understand "it's not order out of chaos, it's chaos into order or constrained by order, or marshalling chaos or classifying random things like positions (or distances) in the game's domain.
nice 3edo song dude
0:01
my teacher showed this video in class
The Pythagoreans were right 😨
7:55 minecraft music disc
1º - Suavemente
What is the connections with circle of fifth? Except the circle? The notes are not even related to the position or angle inside but only to the random note (and not even the good one) i dont t deny the beauty of maths here (that are not a scoop but ok it is nice) but why underlying lies like wrong links
The 3 points on a circle producing the Sierpinski triangle (the 1st example in the video) is a well-known mathematical phenomena. The circle of fifths really has nothing to do with it, just as the "halfway" notes are in no way "halfway" between anything and anything. I don't mind though -- I think the fractals still are cool and (for most people) unexpected, and the notes add a fun dimension to watching the video.
P5.js? Tell me pls.
Do more bogosort live please?
It's live right now!
Okay
If you want a headache watch this video
Bro, I think your Triforce is broken.
chaos game is my least favourite way of rendering an IFS, but I guess the better ways can't be easily turned into music.
The second one sounds almost exactly like Zelda OoT
Me trying to do every combination lock to get in my brothers phone:
Wait... WHAT!?!
Played the video too loud and my furniture started to levitate. And I think I opened a portal.
@@truongquangduylop33yyuh34 it's just a joke 😂
@@CiscoWes 5 hours ago... when this vid is 3 months old...
@@christopherop8682 he’s responding to a comment I made 2 months ago.
@@CiscoWes fr
Ur responding to a reply that does not exist @@CiscoWes
Chaos Within Structure
=
Structure Within Chaos
i love fractals
7:05 The dodecagon game is the *scariest* because of that ratio: Seven *ate* Nine!! 😮
Why was 0.789 used for the Dodecahedron? Curious to look further into it
Nice video! I had no idea about "chaos games".
I'm curious, though, what language and libraries are you using for visualizing these fractals and playing the notes?
2:25 *insert Zelda chest opening theme here*
1:35
The sound is like c418 - cat
Sounds like hitting the jackpot on a slot machine, or so ive heard 😂
It’s the trifor
y
This might be a dumb question, but is it possible that this relates to those sand vibration experiments? Where you put the sand on the speaker? The patterns look very similar.
Debating using this for music inspo
Sumamente interesante, saludos desde uruguay
THE TRIFORCE IS REAL!
After that first one, it's difficult now for me to hear minor thirds.
Very cool! Depending on the starting point, the first x number of points won't fall within the shape the points converge on. Do you know if there's a specific number of iterations after which all points are within the shape, either for each kind of shape or for all of them as a whole?
I was expecting dots, nots keep playing, and...
John cena
Dun dun dun duuuuh
You're really restrcting yourself by doing these in the Circle Of Fiths. There are plenty of chaos games that are interesting that aren't mutliples of 12.
When are you releasing on spotify
It's pure geometry, the music is arbitrary and doesn't play any role.
Please explain the outlier dot on the Sierpinski triangle
What language is this programed in?
Has nothing to do with the circle of fifths though. It just depends if you start with an equilateral polygon like triangle, hexagon, etc. It's not the magic of music, as one might think when reading the title ;)
The circle of fifths is just being used here as a vehicle for adding *audio* to these well-known fractal visualizations. It facilitates a basic form of *algorithmic composition* of music to accompany the chaos game visuals (algorithmic composition is a common theme on this channel).
It should be clear that the circle of fifths is not "producing" the fractals, but rather the fractals are just being superimposed on top of the circle of fifths, merely to add a musical element.
What if a non-regular polygon is chosen? Like a Maj7 chord or something of the sort? Could a suitable ratio be found, or will it just result in visual noise?
In accordance with things like the Wolfram Model, and Computability theory in general, there exists larger and larger spaces of initial conditions, such that you can construct any given output (shape in this case).
Alternatively, you can consider each point on the circle as a set that you can map to some other set (like say, mapping the 4 corners of a square, to 4 corners of a rhombus), and consider that each function you do, which produces a unique mapping also has that unique mapping transformed in the same way.
So depending on what your transformation of the object was, determines what kind of transformation the output shape undergoes. Let's just pretend we knew the answer and that transforming a circle to an oval was an affine transformation for the output fractal. The output shape which is still technically the same fractal pattern, might be a rotation in a higher dimension, resulting in noise in our lower dimension, since we can only see this 2d sirpinski triangle from this 2d view, rotating that 2d sirpinkski triangle would look like nothing interesting to us (noise)
Essentially you can imbed any information into this structure. Accessing the thing that you want, so that you can see it, is the hard part.
Is there an online simulator for this?
What if you select a dot inside of the void
Is there a 3D version of this?
I'm making this in scratch
It sounds like Arkenoid.
3:25 the triforce of chaos!
It sounds, like the
Duran Hungry Wolf arpeggio:
ruclips.net/video/xROKxMbsIRA/видео.html
Great video
Hey AlgoMotion, I also work with music, quaternions and the Sierpiński triangle. We should do a project together.
If we could use this to find of song of stars in the night sky that would be awesome
wowie
i belive if you changed tthe note to be jazz bass samples it would sound really fire
Is there any correlation between chaos game and cymatics? Seems the organization is similar, in a way
That's interesting but, what is the point of using notes if you're not doing it for scales ?
何でこうなるのですかね？
あと、中東のマカームをベースに作図したらどうなりますかね？
C augmented C-E-A ❤
C E Ab
This is kinda cool but it has literally nothing to do with the circle of fifths.
Make a mandelbrodt set next!!!
What happens in the sierpinski triangle if the initial point selected is in the largest "blank" triangle in the middle somewhere? Would it be the same but with an extra dot where you started?
Yes - this is demonstrated in a short on this channel.
So cool! Like a treasure hunt.
voice reveal?
Does anyone know what kind of app or program is he using for this?
Presumably code he wrote?
at ~0:25 the inside out theme's motif plays
0:23 allows one to hear it in full
Interesting. Does the last shape have any sort of name? Great video
Not that I know of, just a cool looking fractal! Thanks for watching.
@@AlgoMotion it looks like a fps map