id: 06050895
dt: j
an: 2012d.00587
au: Nishiyama, Yutaka
ti: The mathematics of the straw flute.
so: Int. J. Pure Appl. Math. 74, No. 1, 11-20 (2012).
py: 2012
pu: Academic Publications, Sofia
la: EN
cc: M80
ut: reference tones; scales; Pythagorean tuning; geometric series; modular
arithmetic; mathematical applications
ci:
li: http://www.ijpam.eu/contents/2012-74-1/2/index.html
ab: 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.
rv: