On Musical Temperament. 



179 



m all the succeeding operations, when the exterior termina- 

 tion of any concord has been already altered, we nmst take its 

 temperament, not what it was at first, but what it has become, 

 by such previous alteration. In this manner, the scale is 

 becoming more harmonious at every step, till we have com- 

 pleted the whole succession of degrees which it contains. 



Let us now revert to D, the place where we began. A« 

 each of the outer extremities of the chords which are termi- 

 nated by D has been changed, a new application of the theo- 

 rem will give a second correction for the place of D ; although, 

 as the numbers a, a' , b, &c. continue the same, it will be less 

 than before. Continue the process through the whole scale., 

 and a second approximation to the most harmonious state will 

 be obtained. In this manner let the theorem be applied, till 

 the value of a: is exhausted, for every degree ; and it will then 

 be in the most harmonious state possible. Three operations 

 gave the following results : 



TABLE V. 



