34 On Musical Temperament. 
latter, as it will give the ratios in the largest, and, of course, 
the most accurate terms. Then adding those results in each 
which belong to the same interval, and cutting off the three 
- right hand figures, (expressing in the nearest small fractions 
those results which are under 1000,) which will leave a set of 
ratios abundantly accurate for every purpose; the numbers, 
constituting the final solution of the’ problem, will stand as 
follows : 
TABLE IV. 
Vth d{[ilds and| 3ds and |. 
Bases. | gins. | 6ths. | Viths. 
\Vthsand|[[ds andj3ds and 
“| 4ths 6ths. Viths. 
Fa | (6 | 29] 1072 | Bg 
F 63 924| 66 ||B Q21 | 135 | 1161 
Ke —— | «12 || Bh" | 418 | 654 5 
K 548 $23 | 1151 | Ag | —| — 29 
Eb | 265 363 1 1A 870 | 568 | 1085 
De 3 +] 144 || Ab 52 78 1 
D | 1166| 943] 569 | Ge 5 4} 365 
D 1 6 | —— 1207 | 1197 | 567 
Cy 25 i2| 581 || Fea, —— 1 
C 816 | 1131) 180 ||G@h | — t 
Nore. In this table, as well as the last, the Vths, I[Ids and 
3ds, are to be taken above, and the 4ths, 6ths and VIths, their 
complements to the octave, below the corresponding degrees in 
the first column. And, in general, whenever the Vths, Illds, 
and 3ds, are hereafter treated as different classes of concords, 
each will be understood to include its complemen t to the octave 
and its compounds with octaves. 
Scholium. 
The foregoing table exhibits, with sufficient accuracy, the 
ratio of the whole number of times which the different chords 
would occur, were the 1600 scores, whose signatures were 
examined, actually played in succession, on the keys to which 
they are set, and with an instrument having distinct sounds for 
SS Apes 
Bs ees 
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