348 MUSICAL NOTES. 



duced in a second, and notes having the same pitch 

 whatever their origin, are produced by the satn( 

 number of sonorous vibrations. In music two notes 

 produced by the same number of vibrations in the sam( 

 time, are said to be ' in unison ' ; no matter by wha 

 instruments they are produced. To each note a symbo 

 or name is given, and the position of each note amongs 

 musical sounds is determined by the ratio which th< 

 number of its vibrations bears to the vibrations per 

 formed in the same time by a certain other note, whicl 

 may be arbitrarily chosen and is called the c fundamenta 

 note.* Thus the particular note which is produced b 

 twice the number of vibrations which produce the fur 

 damental note is said to be an ' octave ' higher, whil 

 that produced by half the number of vibrations is sai 

 to be an ' octave ' lower, than the fundamental not( 

 Suppose that we denote by Ci the deepest note whic 

 our pianos usually possess, musicians call it tb 

 4 contra- ty which makes thirty-three vibrations in 

 second, and by (7, c, </, c", c"', etc. the successive octave 

 then we should have for the corresponding numbers < 

 vibrations : 



Ci is produced by 33 vibrations per second. 



C ' 66 



c 132 



c' 264 



c" 528 



c'" 1056 



c"" ,, 2112 



<"'" 4224 



It is clearly possible to produce notes by any nmnl> 



