Mr. Farey’s Letter on musical Intervals, &c. 73 
4 times the first expression, or 24485+448f+4212m, and 
add it to the third expression, making 38692+76f+ 335m, 
and then deduct this last, from the multiple first found in 
this case, and the remainder is 11=+-m, the notation of c. 
Further examples may appear unnecessary here ; yet it 
will be proper to add, that if the calculations by this rule 
are gone through, which are indicated above, by the ratios 
answering to x, to f, and to m, respectively, they only, will 
be found to result, respectively ; or, the truth of the whole 
may be demonstrated in various other ways, as is shewn in 
the “ Edinburgh Encyclopeedia,” vol. IX. p. 275. 
TABLE I. 
ie | Ratios. | Sure | Numerals. | recip. Logar. 
C | 1+2 | 612 12 53)Vill, or Octave. | -3010299,96 
B | 8+15 |5551148| VII -2730012,72 
Bo | 9+16 | 508 10 44 7 ‘2498774,73 
3+5 |451 939 VI -2218487,50 
GH| 16+25 | 394 8 34) Ext. ¢V | -1938200,26 
2-3 |358 731 Vv -1760912,59 
FH} 32+45 | 301 6 26 IV *1480625,35 
Fo | 3+4 (254 522 4 *1249387,37 
E | 4+5° |197 417 iit -0969100,13 
Eb! 5+6 |161 314 3 -0791812,46 
D | s+9 !104 2 9] IT(orT) | -0511525,22 
CH/128+135| 47 1 4 I -0231237,99 
1+1 000 1 -0000000,00) 
AD| 5+8 |415 8 36 6 -2041199,83) 
D\| 9+10| 93 2 8 IL(ort) | -0457574,91 
Do | 15+16 | 57 1 5] 2 (orS) | -0280287,24 
1 e+e 1. 41°01 c -0053950,32} 
32768+-32805|. 1 0 0 z “0004901,07 
450283905 
* 450350062 ba. 0:4 +0 f -0000733,50) 
S| 8 0 1] =m ___ | -0000038,53) 
Se ae 3 5 
| Vou. I.....No. 1. | 10 
