How many tunes?
http://www.thewessens.net/blog/2015/05/21/how-many-tunes/
Application, Blog post, Interactive, Investigation, Worksheet - Electronic
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
User submitted, thanks to Ken Wessen
- Topics:
- Advanced, Exponential Functions, Cross-KLA, Music, Number, Large Numbers, Probability
- Content Type:
- Application, Blog post, Interactive, Investigation, Worksheet - Electronic
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