HEALTH AND THE LAWS OF MECHANICS 125 



considering it as unity, we get the following 

 result : 



PRINCIPAL HARMONICS PRODUCED FROM ONE SOUND 



Vibrations ??* ?G 789 10 Harmony 



Chord Chord 



1st. The 128 fundamental vibrations the most 

 perceptible " do." 



2nd. The note 2, which, having twice the number 

 of vibrations, will give consequently 256 vibrations ; 

 that is, the upper octave " do." 



3rd. The note, or 256 + 128 = 384 vibrations, the 

 product of which gives the fifth from the octave of 

 note 1, or " sol." 



4th. The note 4, or 384 + 128 = 512 vibrations, 

 which produce the fourth from note 3, or the second 

 octave of note 1, a second " do." 



5th. Note 5, or 512 + 128 = 640 vibrations, pro- 

 ducing the third above note 4, that is, "mi." 



Whence comes the first perfect chord, do, do, sol, 

 do, mi. 



Then come the notes 6, 7, 8, 9, 10, increasing 

 each time the same number of 128 vibrations, that 



