| 
eS ery eee ae ce ee 
DE) +19} 45) 41 Ab | =a | —7 | -2 
—, : 
Di} +5! 42| 41 (G# | +17) +5}.0 
_ SS a ears ee ee 0; 0 
On Musical Temperameni. 178 
; ~ imal the succeeding operations, when the exterior termina- 
tion of any concord has been already altered, we must 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 comple- 
ted the whole succession of degrees which it contains. 
Let us now revert to D, the place where we began. As 
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 z is exhausted, for every degree; and it will then be 
in the most harmonious state possible. Three operations gave 
the following results : 
TABLE V. 
| Ist Ope- 2d. 3d. Bases. | Ist Ope- Od. 3d. 
ration, ration, 
Aa +i8} +5 | +41 |iBH | +18| 45] 0 
Ir my | ace a7 UB +19 | +5 0 
