
06050895
j
2012d.00587
Nishiyama, Yutaka
The mathematics of the straw flute.
Int. J. Pure Appl. Math. 74, No. 1, 1120 (2012).
2012
Academic Publications, Sofia
EN
M80
reference tones
scales
Pythagorean tuning
geometric series
modular arithmetic
mathematical applications
http://www.ijpam.eu/contents/2012741/2/index.html
Summary: It is possible to make a simple flutelike instrument using a straw. I used an electronic tuner to determine reference tones, and then located the required positions to create finger holes to form a diatonic scale. Pythagoras created Pythagorean tuning as part of his research into the relationship between scales and the length of strings. The oscillations that represent a scale and the length of the strings creating it can be represented by a geometric series, showing us the close association between music and mathematics.