EXPERIMENTS IN SOUND. 



75 



sung on f is made up of two combined simple vibrations. One of these 

 alone would make the long tongues of flame, but with this simple vi- 

 bration exists another of three times its frequency ; that is, the vibra- 

 tion of greater frequency is the third harmonic of the slower. As the 

 slower vibration, making the long tongues of flame, is f, the higher 



Figs. 52, 53, 51, 56, 56. 



must be c" of the second octave above f. Each third vibration of this 

 higher harmonic coincides with each vibration of f ; hence each third 

 tongue of flame is higher than the others. 



Experime7%t 119. — In like manner the student must analyze Fig. 56 

 into its simple sonorous elements. Then he should, with the vibrating 

 flame, examine the peculiarities of the various voices of his friends, and 

 make neat and accurate drawings of the flames corresponding to them, 

 so that he may analyze them at his leisure. 



Experiment 120. — Blow your toy trumpet into the paper cone 

 gently, and then strongly, and observe that the sound given by the 

 trumpet is a complex one. Try if you cannot get a flame somewhat like 

 that the trumpet gives by singing ah, through your nose, into the cone. 



