\input zb-basic
\input zb-matheduc
\iteman{ZMATH 2012d.00587}
\itemau{Nishiyama, Yutaka}
\itemti{The mathematics of the straw flute.}
\itemso{Int. J. Pure Appl. Math. 74, No. 1, 11-20 (2012).}
\itemab
Summary: It is possible to make a simple flute-like 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.
\itemrv{~}
\itemcc{M80}
\itemut{reference tones; scales; Pythagorean tuning; geometric series; modular arithmetic; mathematical applications}
\itemli{http://www.ijpam.eu/contents/2012-74-1/2/index.html}
\end