Books › The Violin: A concise exposition of the general principles of construction.., 1871 › scan 54
Scan 54
The Violin: A concise exposition of the general principles of construction.., 1871
2 lines. Read by computer on 28 September 2026. No printed page number was found. See the scan on archive.org.
1then examine the rôle of each piece as we build them up. If we take a thin plate of wood by itself, it will render a certain sound—fa³ for example; to its two extremities we now glue, at right angles, two small blocks. If we now cause the first plate to vibrate again, we shall find that the sound is lower than before for the same nodal division—say, si⁴; next glueing another rod or plate to the blocks, of the same dimensions as the first, and parallel to it, we find the sound given by the system to be—say, sol⁴; the nodal divisions presented by both plates being the same as when the first vibrated alone. We have chosen the two parallel plates so as to be perfectly in unison, that they may produce exactly the same mode of division, and being united, whichever one we excite, both will produce the same nodal figure. If now we diminish the thickness of one of the plates, the nodal lines will be displaced—they will no longer correspond upon the two plates; the nodes on the thinner one will approach nearer together, but nevertheless the sound of the two plates will still be the same, whichever one be excited. We can understand easily that, the thinner plate being compelled to vibrate in unison with the other, the nodes must be nearer together, since the ventral segments must be smaller to give the same number of vibrations. We perceive the same phenomenon in the body of a violin. Separately, the back and belly will not give the same number of vibrations; united, they render the same sound. To prove this, let us operate with closed rectangular cases, pierced in the centre of their larger surfaces with a circular hole, to
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