28 ART. 10. — T. TERADA. 



The position of the node when all the lateral openings are 

 closed, is easily found, since the lower end must correspond to 

 the loop, 2^rovided the usual correction for the open end is 

 made. When the embouchure is adjusted so that the note is 

 r*, for this [)Osition, the distance JV of the node from the mouth 

 must be 



4 



where L is the total length of the si/akuha(i=-i.^.2 cm. ; E the 

 inner radius = l cm.; -^ = 30.1 cm. (^ = 15° 0). 



iY=9.9cm. 

 jNow, as already mentioned, Fig. 3 may be reduced to the 

 case of a similar cylindrical resonator wdth its sectional diameter 

 equal to that of the i<i/akuhati. Since in the present experi- 

 ment, the ratio of the diameter of the glass pipe used to the 

 sectional diameter of the syakuhati is nearly 2, the value of n in 

 the figure was nuiltiplied by 2 and / was divided by 2. From 

 the figure thus reduced, was found the value of the ordinate for 

 which -^-l for r-/ is U.D cm. For this value of the ordinate, a 

 curve giving the relation / to n was drawn, whence the correc- 

 tion corresponding to nny other note could be obtained. In this 

 way, X for any position of the holes can be found, if we have 

 only determined the numl)er of vibrations of the notes corres- 

 ponding to that j)osition. AVc have 



-V+^ from the embouchure gives the position of the virtual 

 loop. The distance of thie apparent loop l^eyond the open hole 

 is to be regarded as the correction due to the opening. 



