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Project Summary
| Difficulty | 7 – 9 |
| Time required | Average (about one week) |
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Sponsor
| Sponsored by a generous grant from Motorola |
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| * Note: This is an abbreviated project idea, without notes to start your background research or a procedure for how to do the experiment. You can identify abbreviated project ideas by the asterisk at the end of the title. If you want a project idea with full instructions, please pick one without an asterisk. |
Abstract
Music has many mathematical elements in it: rhythm, pitch, scale, frequency, interval, and ratio. There are many ways to turn these elements into a science fair project. You can investigate how the scale is based upon a special type of number sequence called a Harmonic Series. Another scale used by Bach, called the "Well-Tempered-Scale" or the "Equal-Tempered-Scale", is based upon a series. How are these mathematical series and ratios related to notes, chords, intervals, and octaves? You can show how these concepts are applied to generating discreet notes and pitches with different instruments. You can also investigate rhythm and time in music: can you find a way to represent your favorite rhythms numerically? (Rusin, 2004)Bibliography
Rusin, D., 2004. "Mathematics and Music," Northern Illinois University, Department of Mathematical Sciences. [accessed: 5/1/06] http://www.math.niu.edu/~rusin/uses-math/music/index.htmlVariations
- For more science project ideas in this area of science, see Pure Mathematics Project Ideas.
Last edit date: 2007-01-17 23:23:50
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