# Computer Music - Spring 2014/HW6

## Contents

## Math and Music

Choose one of the following:

### Tuning and Temperament

Using the sound synthesis part of Euterpea, investigate at least two different tunings that are different from the usual even-tempered or naturally tempered scales. Create a small piece which shows off both the melodic and harmonic aspects of your scale. Use the note-based style of composition but change the part in which pitch numbers are converted to frequencies.

### Phasing

Investigate Phase Music. Here's an example: https://www.youtube.com/watch?v=FHsox_uwVis.

Your composition should use multiple phasing effects, including different melodic lines, different numbers of instruments, and different relative tempos. Please make a composition that has some structure beyond just phasing!

### Mathematical Rhythms

Consider the following piece by Xenakis: https://www.youtube.com/watch?v=Yge7GNl5p_k - this uses modular arithmetic to create patterns. Create a percussive composition which uses mathematical formulas to create interesting textures. Work with different instruments, accents, and patterns in your piece.

### Chaos

Andy will present his work on Monday. The idea is to convert a sequence of chaotic numbers into a composition by using different voices, rhythms, and lines into a coherent composition.

Here are some examples: http://en.wikipedia.org/wiki/List_of_chaotic_maps

### Sound Clouds

This is a technique where different instruments purposely play without rhythm in a random style.

This was performed by the percussion ensemble and has sections in which this sort of chaos is found: https://www.youtube.com/watch?v=6DubGftJmHs