File:Straahleconstruction broadwood1862.png

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Summary

Description
English: A geometrical method for determining the sounding lengths of piano strings, printed in Broadwood & Sons' pamphlet prepared for their display of pianos at the 1862 International Exhibition held in London.

The following text is from the engraving:

"DIAGRAM shewing a practical method of finding the lengths of Strings, for every note of the Octave, on equal temperament; so that with wire of the same size the tension on each note shall be the same.

"1....Draw a Base line M.N. of indefinite length. "2 From M project a line M.P. making an angle of 45°. with M.N. and set off upon it the length of string for the Key note of the Octave. In this case the length is 24 1/2 inches, representing middle C. "3....Bisect this line in Q and draw from Q a perpendicular Q.R. upon M.N and divide it into 12 equal parts. "4....Take the sum of the three sides of the triangle M.Q.R. and set it off from M along M.N. which will give a point O.

"5 From O as a centre draw radiating lines through the various divisions in Q R to the line M.P. and the points where these lines cut the latter will give the proportionate lengths of string measured from P. of the various notes of the Octave as marked."
Date
Source

Broadwood, John and Sons (1862): International Exhibition 1862. List of pianofortes and of various samples and models, intended to illustrate the principles of their manufactur, with historical introduction etc. London, printed by WS Johnson and Co.

reproduced in Alastair Laurence, The Evolution of the Broadwood Grand Piano 1785-1998 "fig. 6/6: Broadwood's scale design geometry, 1862" University of York Department of Music September 1998, p.151 http://etheses.whiterose.ac.uk/10949/
Author John Broadwood and Sons

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