Geometry in music?? Part 5

 Wind Instrument Construction.

Just as exploring the golden ratios in string instruments has been suggested, it would be interesting to investigate the construction proportions of wind instruments to determine if there are any applicable relationships in the classroom.

Which measurements impact the sound? The holes, their distance from the end of the tube, their diameter, the height of the toneholes, the spacing between open holes, proportion ratios, distances, diameters... all depending on the pitch produced by each hole. This is a truly fascinating topic to explore in the classroom as it involves hands-on and practical activities. However, it can be challenging to find specific information to pursue this investigation, so we will not delve into the development of this subject. Nonetheless, a practical and hands-on activity can be proposed, combining the subjects of Technology and Music, such as constructing a flute. Various tutorials can be found online, primarily in English, by searching for the term 'flutomat', which provide dimensioned designs for constructing a flute using homemade materials. At this point, mathematics and music take a backseat, with physics and technology becoming the relevant subjects in the activity. Due to the aforementioned difficulty, we have decided not to provide a detailed flute construction process. Some examples can be found at the following web addresses:

- http://people.adams.edu/~rjastalos/Flutes/6-holeFlutomat.html

- http://www.flutopedia.com/calculators.htm

- http://homepages.bw.edu/~phoekje/acoustics/mahome.html

- http://www.logarithmic.net/pfh/design

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