184 " JVlielher Music is necessary to the Orator,—' 



with our generally received proportions, but at the same time 

 shall indicate, for our guidance, the seven original intervals. 

 V'/cther this or any other suitable diagram has been hitherto 

 constructed I know not, nor is it of importance : facts, not ori- 

 ginality, are my object ; — should it lead to any discovery for the 

 judicious subdivision of our scale, the nuisical portion of society 

 will be amply remunerated for the trouble of perusing it. 



Lengths of the Strings. 

 Modern Concords. 

 Base = 1 



Octave = 



Fourth = 



Fifth = 



3d Minor = 



6th Major = 



minus, a minute fraction. 



plus, the same. 



minus, a somewhat greater fraction. 



plus, the same. 



Discords. 



2d and 7th out of all seeming proportion. 



Constructio7i of the Diagram. 



On the line AC describe a semicircle. From the centre D 



erect the perpendicular DB ; and from the point B draw the 



lines BA and BC. Bisect AD in E, and DC in F ; and from 



the points E and F erect the perpendiculars EG and FH. Then 



with the radius BD, and from the points B and H, describe two 



arcs intersecting in I. With I as centre, and BD as interval, 



describe 



