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| 
On Musical Temperament. 195 
Three successive applications of this theorem to each degree 
in the scale, in the manner described Prop. VI., will bring 
them very near to the required position, as appears by the 
smallness of the corrections in the 3d column below, where 
the results of the several operations are exhibited at one 
view. 
TABLE X. 
e ate 
First 
rs Third 
mans Operation. | Operation. | Operation. 
— 140 —35 cad 
Bb | +308 | +33 | —1 
—g§ {| —23 +2 
Gt ass. 00 1 8 
+107 | 424 | —8 
PY | weet =? 0 
Eb | +1574 | +2 ar 
Ea ad: 48 0 
c# —G5o 1 =-29 sr 
C +176 | +29 +4 
Ps Cor. Hence we may deduce, in the same manner as in 
top. VIL., the diatonic and chromatic intervals, the lengths of 
4 string and their vibrations in a second, and the temperaments 
and beats of all the concords for the scale which results from 
We foregoing computations. They may be seen in the two fol- 
"vo tables : 
OL, I....No, fo) 5 
