S4 THE NATURE OF MUSIC 



inner product of feeling, has no existence outside of 

 feeling and now requires psychological analysis. In 

 thought or voice maintain a sound at an unwavering 

 pitch and you will generate this perfect tone or har- 

 mony in feeling. Whatever the pitch may be the 

 result will be the same. For convenience and clear- 

 ness of illustration therefore we will suppose the pitch 

 to be that of C. While mentally sustaining this tone 

 we are at first conscious only of a single tone as at a) 

 in the example below. Analysis will, however, soon 

 discover that instead of sustaining only a single tone 

 we are in truth sustaining a harmonic complex of 

 tones comprising a root or fundamental, its major 

 third, pure fifth and octave, as shown below at b), 



a) 6)1 3 5 8 



li 



\~~.^^^ 



KJ .^ 



^ 



To be more explicit, while at first ,we are conscious 

 only of the single tone C, which is a root or funda- 

 mental, analysis soon discovers the presence of a 

 third (E), a fifth (G) and an octave (C), which are 

 concomitant elementary tones or harmonics and which 

 together with the root make up the harmonic form of 

 this isolated tone. Hence this truth : Every isolated 

 tone is a harmonic complex of root and elementary 

 harmonics, that is, a composite of root, major third, 

 pure fifth and octave; in short, an isolated tone is 

 always a major consonance. Each reader may verify 

 in and for himself that this is so; why it is so will be 

 explained presently. The fact here requiring empha- 

 sis is this: An isolated tone always reports itself 



