MathsLinks

Just how many musical tunes are possible and will we ever run out?  This discussion and associated "Computer Composer" activity give students the experience of:

• Describing components of music mathematically
• Utilising this description to create new music
• Understanding the application of a mathematical model to a non-obviously mathematical problem
• Applying mathematics to an area of interest
• Applying mathematics to a question of contemporary concern
• Calculating arrangements
• Calculating choices with replacement
• Linking probability with counting possibilities
• Recognition of the magnitude of combinatorial growth

An extension includes:

• algebraic expansion,
• choice and probability, 
• index laws
• generating functions

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15 February 2016 Edit: 4 February 2016