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Random Numbers and Markov Chains
Due: Mon Nov 10 at noon.
Read Chapter 12 in HSOM.
- Use a bilateral exponential distribution to vary the volume of
successive notes in a melody. Also try using a Gaussian distribution.
Which sounds more natural, and why? In both cases, try to find values of
λ and σ,
respectively, that "sound good".
- Use the same distributions to vary the duration of successive
notes, but without changing the overall duration. To do this, you
should change the Performance rather than the Music value.
The idea is to mimic the small "errors" that a player might introduce in a
performance. Small values of λ and large
values of σ will mimic the effect of a
beginner, whereas large values of λ and small values
of σ will mimic an expert.
- Do Exercise 12.3 in HSOM.
- Write a brief description of your project -- about 1 page of text would be
good. Try to be precise about what you want to do. What problems
do you anticipate? How will you proceed toward a solution? Look at
the Final Project link on the website for some
ideas, and feel free to email me or Eric if you have any questions.
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