212 



THE NATURE OF MUSIC 



They are a true reality, since modern music has intro- 

 duced them frequently. I present a double chord 

 containing double thirds, choosing for my subject sol s 

 in the above relation, which tone and relation are 

 responsible for the genesis of this double harmony 

 and consequent double chord. 



1 1 



This cadence of sol z into fa © during the regnancy 

 of V is often found in the melodies of Chopin. Here 

 is a familiar example from the prelude in E minor. 



1 sDoloOsols 



i 



^ 



w 



il 



'^^=¥ 



N.B. 



etc. 



5* 



I 



lEI 



*-^ 



17 



Such excerpts from compositions might be multi- 

 plied indefinitely. For my last illustration of sol • 

 in this relation I give the principal theme of the 

 allegro of Beethoven's sonata op. 111. Although this 

 opening theme presents sol s but once, it is given in its 

 entirety, it being so fine an example of harmony in 



