Bogosort Sheds the Rhythm Changes Until it Sorts the List

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.

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