426 Dr. R. Konig on the Simultaneous 



Above the double octave we can distinguish below and 

 above the interval c : e" (1 : 5) the upper beats of the fourth 

 and the lower beats of the fifth period to about the number of 

 twelve. Above and below eg" (1 : 6) about 8 beats can be 

 distinguished, and about 6 in the disturbed clang C : 1792 v. s. 

 (1 : 7). The triple octave c : d" (1:8), when disturbed, allows 

 4 beats to be distinctly heard ; but the two or three beats per- 

 ceptible at c : d'" (1 : 9) are very weak. 



Although both the lower and upper beats attain to the 

 number of 64 in the interval with the fundamental note c, which 

 forms the middle of that period, C is only very faintly distin- 

 guishable even in the first period in the fifth, e : g. If we 

 suddenly produce a g beside the original singly sounding c, 

 the result gives the same impression as if the fundamental note 

 had acquired a deeper character. 



C. Intervals with the fundamental note c'( = 512 v. s.). 



If intervals are formed with the fundamental note </( = 512 

 v. s.), gradually rising from the unison, the following phenomena 

 will be noticed. 



The first single audible lower beats change to a rattle before 

 the second is reached, and at the third (64 beats) become a 

 mere roughness ; at the same time a weak C is heard. At 

 the fifth this note rises to e (128 beats), while at 720 to 736 v. s. 

 the roughness of the clang is no longer heard. From 768 to 

 896 v. s. (128 to 192 beats) the note c rises to g, and is re- 

 markably strong in proportion to its intensity between C and 

 c (64 to 128 beats). It appears, therefore, that what the 

 single impulses m have lost in intensity in these greater 

 intervals, is fully made up by their greater number with 

 regard to the intensity of the note which they form. The note 

 produced by the upper beats mf can be distinguished by the 

 beats of the auxiliary fork from the third (192 beats) to the! 

 fifth (128 beats), while it sinks from g to c, though it other- 

 wise is scarcely audible. From 808 to 896 v. s. (108 to 64 

 beats ?n / ), it becomes so feeble that even with the aid of the] 

 auxiliary fork it can scarcely be distinguished. It appears 

 therefore that the increase in intensity of the single impulse 

 mf, which is attained by the diminution of their number, is 

 not great enough to form the deepened note with the same 

 intensity which it possessed when it was higher. Towards I 

 944 v. s. (40 beats m f ) a roughness arises, which at 976 v. s.l 

 changes to a roll that alters to single beats, which at the octave 

 c' : c" disappear. 



The lower beats of the second period, from c' : e" to c' : g' 

 (1 : 2 to 1 : 3), become at 20 only a roughness ; and in thel 



