AlgoMotion | Bogosort Sheds the Rhythm Changes Until it Sorts the List @AlgoMotion | Uploaded January 2024 | Updated October 2024, 9 hours ago.
Bogosort continues its journey through the jazz repertoire, this time shedding over the Rhythm Changes until it successfully sorts the list.
The Bogosort algorithm is as follows:
1. Randomly shuffle the list.
2. Check if the list is sorted.
3. If not, go back to 1.
For a list of n elements, there is a 1/n! chance that Bogosort successfully sorts the list on any given pass, since there are n! (n factorial) possible permutations of the list. So with six elements, the probability of the list being sorted on any given pass is 1/6! = 1/720 ≈ 0.00139.
In this instance, the algorithm took 545 passes to sort the list.
The six elements of the list are mapped to notes of a specific scale, depending on which chord is being played in the progression. The scales used include the major pentatonic, Phrygian dominant, natural minor, harmonic minor, altered scale, Mixolydian, and more.
The shuffling algorithm used is the Fisher–Yates Shuffle, from lowest index to highest. The note played is the value of the element at the current index in the outer for-loop of the shuffle algorithm.
________
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: amzn.to/3uo25xR
▶ “Effective Java” (3rd Edition) by Joshua Bloch: amzn.to/3HOnYJL
▶ “Python Crash Course, 3rd Edition: A Hands-On, Project-Based Introduction to Programming” by Eric Matthes: amzn.to/481jQ43
▶ “Design Patterns: Elements of Reusable Object-Oriented Software” by Erich Gamma, Richard Helm, Ralph Johnson, & John Vlissides: amzn.to/49fpr7R
▶ “Discrete Algorithmic Mathematics” by Stephen B. Maurer & Anthony Ralston: amzn.to/4bmsOvG
#jazz #algorithm #altered #music #musictheory #solo #meme #rhythmchanges #igotrhythm #gershwin #improvisation #bogosort #sortingalgorithm #sorting #visualization #computerscience #programming #code #satisfying #asmr #scrollingscore #transcription #hypnotic #studymusic #focusmusic
Bogosort continues its journey through the jazz repertoire, this time shedding over the Rhythm Changes until it successfully sorts the list.
The Bogosort algorithm is as follows:
1. Randomly shuffle the list.
2. Check if the list is sorted.
3. If not, go back to 1.
For a list of n elements, there is a 1/n! chance that Bogosort successfully sorts the list on any given pass, since there are n! (n factorial) possible permutations of the list. So with six elements, the probability of the list being sorted on any given pass is 1/6! = 1/720 ≈ 0.00139.
In this instance, the algorithm took 545 passes to sort the list.
The six elements of the list are mapped to notes of a specific scale, depending on which chord is being played in the progression. The scales used include the major pentatonic, Phrygian dominant, natural minor, harmonic minor, altered scale, Mixolydian, and more.
The shuffling algorithm used is the Fisher–Yates Shuffle, from lowest index to highest. The note played is the value of the element at the current index in the outer for-loop of the shuffle algorithm.
________
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: amzn.to/3uo25xR
▶ “Effective Java” (3rd Edition) by Joshua Bloch: amzn.to/3HOnYJL
▶ “Python Crash Course, 3rd Edition: A Hands-On, Project-Based Introduction to Programming” by Eric Matthes: amzn.to/481jQ43
▶ “Design Patterns: Elements of Reusable Object-Oriented Software” by Erich Gamma, Richard Helm, Ralph Johnson, & John Vlissides: amzn.to/49fpr7R
▶ “Discrete Algorithmic Mathematics” by Stephen B. Maurer & Anthony Ralston: amzn.to/4bmsOvG
#jazz #algorithm #altered #music #musictheory #solo #meme #rhythmchanges #igotrhythm #gershwin #improvisation #bogosort #sortingalgorithm #sorting #visualization #computerscience #programming #code #satisfying #asmr #scrollingscore #transcription #hypnotic #studymusic #focusmusic
![Mathematical Elegance: Power and Radical Functions in Color from [0, 1]](https://i.ytimg.com/vi/u0fI9HfqHvw/hqdefault.jpg "Mathematical Elegance: Power and Radical Functions in Color from [0, 1]
The beauty of simple power functions and their corresponding radical functions (nth root functions) over the domain (and range) [0, 1].
This animated visualization depicts the satisfying symmetry of the functions y = x^n, for n = 1, 2, 3, ..., 10, with the corresponding functions y = x ^ (1/n), for n = 1, 2, 3, ... 10.
The final plot resembles an onion, or a piece of garlic, or possibly some other known physical entities...
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 #maths #mathematics #visualization #software #programming #blender #onion #garlic #satisfying #music #strings #orchestral #asmr #satisfying")
