OVERTONES 



367 



tone which is produced by --, ^, i, 1, etc. of its own number of 

 vibrations. For example the tone c'", 



vith 1,056 vibrations is an harmonic overtone of the following 

 ones : 



c" 

 528 



352 



1 05P 



264 



at? 

 211.2 



176 



lOSfi 



d 

 150.9 



e last of which is not exactly d but slightly higher, d being pro- 

 iuced by 148'5 vibrations. If the key c'" is kept continually 

 ressed down, arid key after key from d" downwards is struck, 

 ilowing a short interval of time to elapse between one note and the 

 axt, the string c'" will be heard to give out its note whenever 

 iv of the above notes have been sounded. The vibratory motions 

 - the string c" may also be demonstrated by placing a small rider 

 'paper upon one of the strings which produce c'": whenever one 

 I the notes of which it is an overtone is struck, the rider will be 

 en to vibrate and also heard to strike against the string. If 

 veral of the notes, of which c!" is an overtone, are struck to- 

 !'ther, for example the chord of F minor, /, a !?, c', /, the note c" f 



11 be heard nearly as loud as if it had been struck, even though the 

 ;y c'" has not been pressed down. 



jit is obvious that all that has been stated above with reference to 

 fas fundamental tone and c'" as overtone, would apply equally to 

 ijy other tone ; it is only necessary to calculate the other corre- 

 f-; Hiding tones, or simply to count upwards or downwards the 

 i mber of keys between C or c'" and the selected note : any given 

 c irtone of the note chosen is separated from the corresponding 



rtoue of G by the same number of keys as that which separates 

 t selected note itself from C. 



Not only strings, but most other bodies emit over- 

 ties besides their fundamental tone, when set in vibra- 

 t-n. The sum total of the tones emitted by a body may 

 b called its note in contradistinction to the simple tones. 



