86 UNIVERSITY OF MISSOURI STUDIES 



satisfactory because it seems improbable that the higher octave 

 should become inaudible as soon as its amplitude is decreased 

 to one-half of the amplitude of the lower tone. It seems, judg- 

 ing from' experimental experience, that the higher octave must 

 be weakened by far more, in order to become entirely inaudi- 



INTERVAL I : 2, AMPLITUDES 2 : I 



ble. Now, to correct the above theoretic result, we cannot 

 make use of the previous considerations concerning the in- 

 fluence of the tapering of the partition. As long as there is 

 an initial section, however short, jerked down and up twice 

 during the period, the result of tapering may be the length- 

 ening of this section and a corresponding increase of the rel- 

 ative intensity of the higher tone. But when there is no 

 initial section at all which moves twice, no tapering of the par- 

 tition can create one. Let us, therefore, recall the other pro- 

 visional assumptions. 



