192 



On Musical Temperament, 

 TABLE IX. 



The general theorem of Prop. V. is equally applicable t© 

 the determination of the approximate place for any degree in 

 this scale, considering the numbers in the above table as those 

 to be substituted for a, a', b, &c. ; and m, n, and p, in the first 

 instance, as 49, —343 and 392, the uniform temperaments of 

 the Vths, Illds, and 3d9, in the scale of equal semitones. 

 Since, however, the temperaments of the Illds in this scale 

 are sharp, which would require the signs of the 3d and 4th 

 terms in the numerator of the general formula to be con- 

 tinually changed, it will be rendered more convenient for 

 practice, if they are changed at first, so that it will stand thus : 



am — a'mf — bn-\-b'n' -\-cp — c'p' 

 ^'^ (X-fa'+6-f 6'+c+c' • 



