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Chaos Game Played on the Circle of Fifths #fractal #music #math
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3,636,376 Views ā€¢ Mar 21, 2024 ā€¢ Click to toggle off description
Generating the Sierpinski Triangle on top of the circle of fifths using the chaos game.

Using the notes C, E, and Aā™­ (an augmented chord) as the corners of a triangle, the Sierpinski Triangle is generated via the chaos game.

From the longer video: Ā Ā Ā ā€¢Ā StructureĀ fromĀ Chaos:Ā FractalsĀ Genera...Ā Ā 

________

Interested in learning more about fractals, algorithms, and how to program? Here are some useful and/or classic textbooks that I recommend (these are affiliate links, if you buy one, I get a small commission):

ā–¶ "The Fractal Geometry of Nature" by Benoit B. Mandelbrot: amzn.to/4apa7pT
ā–¶ "Fractals Everywhere" by Michael F. Barnsley: amzn.to/4apgh9r
ā–¶ ā€œAlgorithmsā€ (4th Edition) by Robert Sedgewick & Kevin Wayne: amzn.to/3uo25xR
ā–¶ ā€œEffective Javaā€ (3rd Edition) by Joshua Bloch: amzn.to/3HOnYJL
ā–¶ ā€œDesign Patterns: Elements of Reusable Object-Oriented Softwareā€ by Erich Gamma, Richard Helm, Ralph Johnson, & John Vlissides: amzn.to/49fpr7R
ā–¶ ā€œDiscrete Algorithmic Mathematicsā€ by Stephen B. Maurer & Anthony Ralston: amzn.to/4bmsOvG

#fractal #math #music #programming #code #java #processing #computerscience #beauty #art #music #mathematical #sierpinski #triangle #augmented
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RYD date created : 2024-09-14T20:45:58.394851Z
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YouTube Comments - 2,493 Comments

Top Comments of this video!! :3

@AlgoMotion

5 months ago

A note for those wondering "what does this have to do with the circle of fifths?"

A primary topic on this channel is exploring generative methods of algorithmic composition of music, and pairing them with algorithmic/mathematical visualizations.

The underlying process here is the well-known "Chaos Game" method of generating the famous Sierpiński Triangle (aka Sierpiński Gasket).

The circle of fifths is placed here as a means of auralizing (adding sound to) the visualization. The circle of fifths does not somehow "generate" this process itself. The chaos game process exists as a standalone concept, and it's being used to "play" the circle of fifths, as a way to "hear" the chaos game process.

In the related long-form video, this process is applied to a hexagon fractal and a dodecagon fractal on the circle of fifths as well. There's no claim that this process "arises" from the circle of fifths. The circle of fifths is just a vehicle for generating "music" from this process.

4.7K |

@jackdog06

5 months ago

Love it when the Sierpinski triangle just shows up uninvited. Happens way more than youā€™d think.

27K |

@NorbYyY_GG

5 months ago

"Link! Link! THE TRIFORCE IS REAL!!!"

915 |

@FallenRhythm

5 months ago

The fact that it sounds straight out of Zelda is the crazy thing

297 |

@M45T3R-CB

4 months ago

When I saw that I involuntarily screamed ā€œTHE TRIFORCE?!?!?ā€ šŸ˜­

43 |

@tye385narf21

5 months ago

Good thing chaos didnā€™t randomly select a starting point between the edges of the main triangle and the circle...
Cool triangle beep booper though, fun to watch.

42 |

@debug8377

5 months ago

anyone: *does a random geometric process *
sierpinski triangle: bonjour

2.6K |

@Fluttershy1790

5 months ago

3 things I think of: Triangle, Legend of Zelda, and Michigun

47 |

@ZorinZato

4 months ago

whispers in the distance
ā€œLink!ā€¦. Link!ā€

80 |

@Josh11320

4 months ago

We making it to the kingdom of hyrule with this one šŸ—£ļøšŸ—£ļøšŸ—£ļøšŸ”„

35 |

@chessplayer6632

6 months ago

The beauty of mathematics

715 |

@VuHoang-dq4jr

5 months ago

Scientist: "It's not music theory"
Musician: "It's not rocket science"

"Then what the fuck is this"

8.1K |

@J1nx_exe

5 months ago

There's 2 types of people here:
1) math nerds
2) gamers

23K |

@alexandreviana4461

5 months ago

The game 6 was crazy! Nice deck sonio!

|

@wideleczek

3 months ago

THE LEGENDARY TRIFORCE!!!

9 |

@andrewbianchi6914

5 months ago

I appreciate someone showing that the first few iterations of this are outliers. I only ever see it where the empty space is 100% empty and thatā€™s obviously confusing because in that case, what if I started where itā€™s empty?

586 |

@tiffanycartledge9525

5 months ago

Seirpinsky triangle jumpscare

458 |

@chaosjack2385

5 months ago

My dumbass said "A triforce made of triforces"

3.8K |

@nemesisurvivorleon

3 months ago

Nintendo was onto something with the Triforce

18 |

@anonymousaccordionist3326

5 months ago

What I think is even cooler is the fact that each of the 3 outlying points that are visible within the empty spaces of the final shape are in the same positioning in comparison to the triangle in which they appear.

6 |

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