246 A. M. Mayer— Researches in Acoustics. 
3 as 
the basis of the assumption. The curve given by the observa- 
tions does not coincide with the hyperbola. The formula* of 
the curve of the observations is 
41600 
The law connecting the pitch of a sound with the duration 
of its residual sensation is 
53248 
D= (3 “ap + 24) 0001, 
In which D=the duration of the residual sensation, and N= 
the number of vibrations corresponding to D. The ordinate of 
MI, is not quite embraced in the law; I have left it outside, 
for no matter how careful and many were the observations on 
this sound, I could not alfer its place in the curve of the ex- 
iments. According to observation, the duration of MI, is 
01111 of a second; according to the law, it equals -00827; 
giving a difference of -00284 second. . 
2. The Determination of the numbers of Beats, throughout the must- 
cal scale, which produce the greatest Dissonances. 
The determination of the law, which shows the connection 
just 
placed 
* To Mr. P. P. Poinier, one of the students of my labo he task of 
* ; c y laboratory, I gave the 
discussing this curve, and to him Iam indebted for the above forreula, 
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