But that the current of air should be thus able to accommodate itself
to the requirements of the tube, it must enjoy a certain amount of
_flexibility_. A little reflection will show you that the power of
the reflected pulse over the current must depend to some extent on
the force of the current. A stronger current, like a more powerfully
stretched string, requires a great force to deflect it, and when
deflected vibrates more quickly. Accordingly, to obtain the fundamental
note of this 24-inch tube, we must blow very gently across its open
end; a rich, full, and forcible musical tone is then produced. With
a little stronger blast the sound approaches a mere rustle; blowing
stronger still, a tone is obtained of much higher pitch than the
fundamental one. This is the first overtone of the tube, to produce
which the column of air within it has divided itself into two vibrating
parts, with a node between them. With a still stronger blast a still
higher note is obtained. The tube is now divided into three vibrating
parts, separated from each other by two nodes. Once more I blow
with sudden strength; a higher note than any before obtained is the
consequence.
In Fig. 96 are represented the divisions of the column of air
corresponding to the first three notes of a tube stopped at one end.
At _a_ and _b_, which correspond to the fundamental note, the column
is undivided; the bottom of the tube is the only node, and the pulse
simply moves up and down from top to bottom, as denoted by the arrows.
In _c_ and _d_, which correspond to the first overtone of the tube, we
have one nodal surface shown by dots at _x_, against which the pulses
abut, and from which they are reflected as from a fixed surface. This
nodal surface is situated at one-third of the length of the tube from
its open end. In _e_ and _f_, which correspond to the second overtone,
we have two nodal surfaces, the upper one, _x′_, of which is at
one-fifth of the length of the tube from its open end, the remaining
four-fifths being divided into two equal parts by the second nodal
surface. The arrows, as before, mark the directions of the pulses.
[Illustration: FIG. 96.]
Public-domain text, read in full here on John Shaqi.
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