432 Mr. E. H. M. Bosanquet on the Beats 



the case mentioned and in others; but no final result was 

 arrived at. In two different cases of mistimed fifths (2:3, 

 nearly), I had a strong impression that the note 7 formed an 

 important part of the beat. This would be a summation-tone 

 of the second order, thus 2x2 + 3. I am confident that it 

 did not arise from harmonics. 



These experiments were made after some experience had 

 been gained. 

 C x :C. 



Rattle up to 

 C :F. 



Slow beats up to 

 C : G, smooth fifth. Koll only perceptible when the ear 

 is held close to the two sources of sound. 



, 5 beats sharp. Perception of pitch very difficult in 



this part of the scale. There is a heavy beat like a 

 knock, which appears to affect the whole mass of sound*. 

 The low beat of C x : C is only distinguishable with diffi- 

 culty, or hardly at all. 



(Another occasion.) Mr. Parratt describes the fifth 

 C : G, beating slowly, as consisting of Eb and C : : C in 

 addition to the primary notes ; the mass of the beat is at 

 least partly on Eb. I do not hear the Eb, but seem to 

 hear the note E. 



(Another occasion.) Mr. Parratt is clear that the beat 

 of the mistuned fifth C : G is on C 2 : C alone; but he still 

 hears the Eb in the mass of tone. I seem to hear the 

 beats both on C and Ql : ; but I have a difficulty in 

 separating the octaves in this deep pitch. 

 C : G, 8 beats sharp. Clear rattle, with suspicion of roll 

 beside it. 



10 beats sharp. Beats just distinguishable. Boll. 



C : Bb. Battle emerges. 



Below 



C : e, 8 beats can be counted. 



, 4 beats very distinct. Consist entirely of variation 



of intensity of lower note. This effect is very clear and 

 remarkable. 



a very slow beat flat. Here it was easy to recognize 



the effect of the shift of phase in the apparent great increase 

 of volume of the lower note at one period of the change. 

 The upper note was not perceptibly affected. 

 C : c. A slight rich roll with smooth tone. The production 

 of the roll depends a good deal on the phase, as is seen 

 by leading up to c with a very slow beat. 



* I take this entry to show that no progress had been made with the 

 resolution of the phenomenon into its elements. 



