144 On the Stcvaope Temper ammt. 



The folIowiiTT Letter will dearly show what a trir.mphant 

 answer Earl Sfanhopk has made to those futile observa- 

 tions. — I have the honour to be. 



With the greatest respect, 

 Your Rova] Highness's most obedient 

 And most humble servant, 



J. W. Callcott. 



Ken^'ngTon Gravel Pits, 

 June 15, 1307. 



Letter from £arZ Stanhofe to D?-. Callcott. 



Sjp Stratford Place, June 1", 1S07. 



You ask me mv opinion of Mr. .John Farey's observa- 

 tions" On the Stanhope Temperament of the Musical Scale." 

 The mistakes which he makes are so extremely obvious, that 

 thev are scarcelv worth your attention. 



In the first place, he begins by objecting to my having 

 divided the Scale of my Monocbord, into one hi.nclred and 

 twenty parts', and he wishes to substitute a division of 07?(? 

 hundred parts . 



I chose that number, 120, on purpose; because it is di- 

 visible exactly into two thirds, by the number 80 ; into 

 three quarters, by the number 90; into four ^fifths, by the 

 number 96 ; into eiglU fifteenths, by the number 64 ; and 

 into halues, by the number Go. So that, if tlie length of 

 the C wire be made equal to 120 equal divisions on the 

 Scale, the length of the E wire will be exactly 96 of those 

 divisions, according to my Temperament ; that of the F 

 wire will be exactly 90 ; that of the G wire, will be exactly 

 80; that of the B wire, will be exactly 64 ; and that of the 

 C wire next above, will be exactly 60. 



Whereas, Mr. r'Aukv, by injudiciously dividing his scale 

 into 100 equal parts, instead of the proper number, which 

 is 120, cannot express those important lengths in round 

 mimlers ; but he is obliged to express the length of the G 

 wire, by the number 66 on his Scale, followed by the de- 

 cimal fraction 66G66 ad ivfinihim. In like manner he ex- 

 presses the length of the B wire by the number 53 on his 



Scale, 



