Tones of Bowed Strinaed Instruments. 



579 



brought nearer and nearer the bridge, till ultimately the 

 phase-differences vanish, and the amplitude increases re- 

 gularly, instead of in a fluctuating manner, in inverse 

 proportion to the distance of the bow from the bridge. 

 (4) As the bowed point approaches the node of the partial 



10 



9 



8 



U 



to 

 ^ 6 



3 



45 



cu 



'■0 



-45 



-90 



Fisr. 3. 





!/9 1/8 »/7 1/6 VS 



Position of the Bowed Point. 



Amplitudes and Phases of the Sixth Harmonic. 



under consideration, the amplitude of ihis partial at first 

 rises above the value given by the Helmholtzian type, and 

 then gradually falls to zero at the node itself, (5) In the 

 same circumstances, the phase of the partial alters, being in 

 advance or in rear of the Helmholtzian phase, according as 

 the bowed point is one side or the other oi the node, The 



