Chapter 6: Exploring Chance and Randomness

6.1 Embracing Randomness

Chance opens new musical paths. Iannis Xenakis, John Cage, and free-jazz players like bassist William Parker all used randomness, though in different ways. Free jazz leans on instinct; Cage and Xenakis built formal systems.

import random
random.seed(141)   # pinned so you can verify; delete for fresh chance

notes = ['C', 'D', 'E', 'F', 'G', 'A', 'B']
random_sequence = random.choices(notes, k=10)
random_sequence

6.2 Probability in Improvisation

Musicians can bias randomness with weights, nudging phrases toward certain notes or rhythms.

notes   = ['C', 'D', 'E', 'F', 'G', 'A', 'B']
weights = [0.2, 0.05, 0.2, 0.05, 0.05, 0.35, 0.1]   # a thumb on A, C, and E

random.seed(141)
random_sequence = random.choices(notes, weights, k=10)
random_sequence

Music can welcome chance.
This chapter shows how Xenakis, Cage, and free-jazz players used randomness, then lets you code aleatoric, stochastic, and algorithmic pieces in Python.

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