Books › The Violin: A concise exposition of the general principles of construction.., 1871 › scan 79
Scan 79
The Violin: A concise exposition of the general principles of construction.., 1871
6 lines. Read by computer on 28 September 2026. No printed page number was found. See the scan on archive.org.
1ness in proper proportions, it is very easy to see that we could preserve the same sounds while the dimensions would vary considerably. At the same time, we could preserve the sound of the mass of air constant by decreasing the height of the sides, and the result would be a violin of entirely different dimensions, and yet satisfying all the conditions Savart insists upon. Again, without varying the area of the tables, we could obtain the required tones for back and belly in a variety of ways by simply adjusting the thicknesses.
3For instance, let the accompanying Fig. represent one of the tables, and let \( a a, b b b b \), be the nodal lines obtained in testing the tone. Let it, in the first instance, be supposed to give the required tone and be of equal thickness throughout. Now, by increasing the thickness along the nodal lines, and also, gradually, and to a greater extent outwards towards the rim of the table, so that the rim or edge would become thicker than the centre, the same sound could be preserved, for we should be increasing the elasticity along the nodal lines, the effect of which would be to increase the number of vibrations; but this effect would be neutralised by the increased weight of the ventral segments \( c c c c \). The same result would be produced by the reverse of this proceeding—that is, by diminishing the thickness along the nodal lines, and also to a greater extent that of the flanks, so that the greatest thickness would then be in the centre.
5Now, not only according to Lupot, but actual experi-
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