Tones of Bowed Stringed Instruments. 



577 



4. Results. 



The amplitudes and phases of the first eight partials excited 

 by applying the bow at various points lying between 1/9 and 

 1 1 5 have been calculated and tabulated in the manner ex- 

 plained above. To illustrate the general character of the 

 results obtained, the amplitudes and phases of the fourth, fifth, 

 sixth, seventh, and eighth partials within the range of bowing 

 Jiave been represented graphically and shown in figs. 1 to 5. 



Fiff. 1 



'/9 



10 











9 

 8 



7 

 * 6 















:: ^- 



^^ 











~*v. 



0) 



3 5 



K 



^ 3 









X^ 









^ — - 



















2 































eo L 











45° 

 -45° 



































-B0° 











1/8 '/7 '/6 



Position of the Bowed Point. 



!/5 



Amplitudes and Phases of the Fourth Harmonic. 



The first three partials do not show any specially noteworthy 

 feature within this range, their amplitudes increasing gra- 

 dually as the bow is brought nearer the bridge, and their 



