150 



THE STUDY OF SPEECH CURVES. 



Apphang the 36 patterns we obtain the following table of results. In 

 this table r gives the period of the harmonic, /^ its frequency, ). its wave- 

 length, a and b the sine and cosine elements, c the amplitude, q the 

 phase, r' and r""" the phase distances in seconds and millimeters (p. 139). 



Table of Results of Simple Harmonic Analysis of Figure 130. 



The harmonic plot is given in figure 131. The first six of the series 

 of harmonics into which the wave has been analyzed is given in figure 132. 

 These results indicate that the first partial, or funda- 

 mental, ',is weak or practically lacking. The eye can 

 see directly in the curve itself (figure 129) that each 

 wave-group is composed mainly of a strong vibration 

 with a period one-third of that of 

 the group, and that a vibration of 

 the whole period is lacking. Yet 



30 



20 



10 



I 2 3 4 S 6 7 8 9 10 II 12 13 14 15 16 17 18 



Fig. 131. — Simple harmonic plot to figure 130. 



the one thing that is heard 

 above all others is the vibra- 

 tion from the glottis, namely, 

 the note on which the vowel is 

 spoken ; this tone has the period 

 of the fundamental. The second 

 partial is indicated as present. 

 The third partial is, as the curve 

 itself makes evident, very prom- 

 inent. The partials above the 

 sixth are practically lacking. 



What do these results 

 mean? In the first place they 

 mean that the curve in figure 



Fiq. 132. — Component curves of figure 130 according to 

 simple harmonic analysis. 



