Cocktail Shaker Sort in Ab Major Pentatonic #computerscience #algorithm #visualization #music @AlgoMotion

AlgoMotion | Cocktail Shaker Sort in Ab Major Pentatonic #computerscience #algorithm #visualization #music @AlgoMotion | Uploaded December 2023 | Updated October 2024, 45 minutes ago.
Cocktail shaker sort algorithm visualized, with operations triggering notes of the Ab Major Pentatonic scale with a sawtooth waveform.

▶ 12 Sorting Algorithms, but they're in Major Pentatonic keys: youtu.be/QwM2-l3lE2g

#musictheory #music #algorithm #computer #computerscience #programming #code #sorting

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$Toothpick Sequence Visualized with Circle of Fifths Harmony | 256 Steps Visualizing the Toothpick Sequence to 256 steps, with musical harmony based on the circle of fifths. In the The On-Line Encyclopedia of Integer Sequences (OEIS), the Toothpick Sequence is sequence number A139250: https://oeis.org/A139250 To generate the toothpick sequence, at each step add a toothpick to the end of every exposed toothpick. Two toothpicks may never overlap, and the midpoint of each new toothpick must touch the endpoint of exactly one existing toothpick. An endpoint is exposed if it does not touch any other toothpick. At steps of the form 2^k (powers of 2), the number of new toothpicks at those steps are equal to 2^k, and they are always placed along two lines perpendicular to the initial toothpick. Chord Selection: The chords move through the circle of fifths until a power of 2 step is reached. Each chord is selected so that every time we arrive at a power of 2 step, the chord is a C. The exact quality of each chord was manually selected for each pitch class (i.e. for all 12 notes). The number of notes in each chord and the MIDI velocity of each note are functions of how many new toothpicks are placed at a given step. The code for creating this video was written in Java using the Processing graphical library (https://processing.org/). Interested in learning more about 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): ▶ “Algorithms” (4th Edition) by Robert Sedgewick & Kevin Wayne: https://amzn.to/3uo25xR ▶ “Effective Java” (3rd Edition) by Joshua Bloch: https://amzn.to/3HOnYJL ▶ “Python Crash Course, 3rd Edition: A Hands-On, Project-Based Introduction to Programming” by Eric Matthes: https://amzn.to/481jQ43 ▶ “Design Patterns: Elements of Reusable Object-Oriented Software” by Erich Gamma, Richard Helm, Ralph Johnson, & John Vlissides: https://amzn.to/49fpr7R ▶ “Discrete Algorithmic Mathematics” by Stephen B. Maurer & Anthony Ralston: https://amzn.to/4bmsOvG #math #art #music #toothpick #sequence #circleoffifths #musictheory #algorithmicmusic #visualization #mathematics #cellularautomata #algorithm #java #code #computerscience #fractal #hypnotic #mesmerizing #calming #calmingmusic #audiovisual #studymusic #focusmusic$

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$Structure from Chaos: Fractals Generated on the Circle of Fifths via the Chaos Game Running the chaos game on the circle of fifths, producing music to accompany the beautiful fractals that result. We start using a triangle on the notes C, E, and A♭ (forming an augmented chord), and play the chaos game to generate the Sierpiński triangle. Then we use a hexagon on the notes C, D, E, G♭, A♭, and B♭ (a whole-tone scale). For optimal packing, the ratio used to divide the lines in the chaos game is 0.667 for a hexagon. Next we use all 12 notes (the chromatic scale) to form a dodecagon fractal. The dodecagon is optimally packed with a ratio of 0.789 to divide the lines. Finally, we use a square (i.e. a diamond) on the notes C, E♭, G♭, and A (forming a diminished 7th chord). Playing the normal chaos game on a square, however, doesnt yield a fractal. It only produces uniform noise within the square. When a simple restriction is added: not allowing any corner to be repeated twice in a row, a beautiful fractal results. 0:00 Sierpiński Triangle 3:54 Hexagon Chaos Game 7:05 Dodecagon Chaos Game 10:27 Square Chaos Game 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): ▶ The Fractal Geometry of Nature by Benoit B. Mandelbrot: https://amzn.to/4apa7pT ▶ Fractals Everywhere by Michael F. Barnsley: https://amzn.to/4apgh9r ▶ “Algorithms” (4th Edition) by Robert Sedgewick & Kevin Wayne: https://amzn.to/3uo25xR ▶ “Effective Java” (3rd Edition) by Joshua Bloch: https://amzn.to/3HOnYJL ▶ “Design Patterns: Elements of Reusable Object-Oriented Software” by Erich Gamma, Richard Helm, Ralph Johnson, & John Vlissides: https://amzn.to/49fpr7R ▶ “Discrete Algorithmic Mathematics” by Stephen B. Maurer & Anthony Ralston: https://amzn.to/4bmsOvG #fractal #math #music #beauty #art #mathematics #code #programming #computerscience #processing #java #visualization #algorithmicmusic #computermusic #experimental #hypnotic #randomness$

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