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My major roles in the project were that I assisted in the production of both guitars and panpipes. I also decorated the instruments, helped gather the information needed for writing the essay on how mathematics is related to music, and I aided in writing the essay. However, I feel that my greatest contributions to the project were the actual production of the guitars and panpipes, which includes the building process and decoration. One mathematical concept that I learned while doing the project was that if there are two identical strings and one of them is plucked as is, and the other is cut in half, the interval that is sounded is one octave higher. This means that as lengths change, pitches also change. Another mathematical concept that I learned was that as the panpipes were cut shorter, their pitches went up, thus meaning their frequencies are higher. In contrast, as each individual pipe was made longer, the frequency decreased. The third mathematical concept that I learned was that trigonometry can be used to tune an instrument by using the equation p(t)= Asin (Bt+C). In this function, t equals the time that the pressure at a certain point varies.
Approximate Word count = 755
Approximate Pages = 3
(250 words per page double spaced)
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