428 Mr. K. H. M. Bosanquet on the Beats 



detected with resonators. The beats of the harmonics, where 

 they existed objectively, were also examined with resonators. 

 After a little practice the sound of these beats became familiar 

 enough to prevent their being confused with the beats of the 

 low notes, and the two sets of beats could be observed inde- 

 pendently. 



30. The only harmonic that exists in these notes in sensible 

 intensity is the twelfth; and this does not appear to originate 

 in the same manner as the principal note. It is heard sepa- 

 rately, as it were, and as if it had an independent origin. It 

 seems probable that it arises in connexion with the move- 

 ments of the air about the mouth-piece, and not by resonance 

 in the cavity of the bottle, like the principal note. At all 

 events, whatever the cause may be, the effect is that the pre- 

 sence of this note is readily distinguished and allowed for, 

 and there is no risk of its being mixed up with the rest of the 

 phenomenon. 



31. The notes employed are of moderate strength. It seems 

 to me that the employment of notes of great power is open to 

 the objection that it introduces all sorts of transformations 

 depending on the greatness of the diplacements ; and in this 

 respect alone Konig's procedure is open to considerable objec- 

 tion. I have confined myself to notes of moderate strength, 

 lying in those regions of the scale which are in ordinary use 

 in music. It is phenomena thus presented that we really seek 

 to understand; and I do not think that any thing is gained by 

 pushing the investigation into those extreme regions where 

 it is possible and highly probable that the ordinary laws of 

 hearing become modified. 



32. The first series of notes examined in the above manner 

 were the set of pairs 



C >.c 

 Q:g 



0|:V 



C :c" 



The beats produced by mistuning, when cleared of the har- 

 monic beats, were heard only in the first three cases. 

 The second set of pairs was 



c :c' 



**£ 



c :c" 



