76 Mr. Farey’s Letter on musical Intervals, &c. 
TABLE II. 
|Literals| Artificial ee ee 
| mas, or Ss || sD z=stt ; zsd 
c 612-0000) VIII || 
B 553°1203| VII 2-9lw 138] 3.0 
BO | 5126776) 7 2:2) 1 -Alw 22-7 
A 4541447) VI 2-8) 00-2 31 
Gy | 397-9991/Ext.4V||wH7-9|w 17-0/ 5:9 
G 355°2420| V 2-2} O-9] 3:6 
: FH | 296-2000) IV || 3-3)w 19:5) 31 
F 256-5327) 4 |i 2:5) O68 w 19°5 
E 197-3246] III | 23 SI el 
Eo 151:8974| 3 H2°8)  6-3\w 16-7 
D 99-0776] II 29} Ol) 36 
| Cet 38-9328} I H1-1lw 20-0 2:6 
| C 00000) 1 2:81 0-3} 91 
el | | =23-8| + 84-2, —96.0 
| | Are ee Lie ls 
| Ly Fee ea ey op ee 
The three first columns of the above Table can need ne 
further description; except mentioning, that in case the f’s 
* 3°6902910, is the constant log. log. for reducing 7—place recip. logs. 
to logs. of Schismas ; and such is likewise the constant addend for 
reducing Schismas to recip. common logs. In the above example 
the log. of 9212-72 is 3:9643878 ; from which take the constant 
log. log. 3-6902910 (or log. of 4901-07) and 0:2740968 remains, 
whose number is 1:87974> as above. 
In this manner also, may ratios involving other primes larger than 
5, be reduced to my notation: if for example, the false minor 
Third £ mentioned in your 195th page, were given: the Tabular 
recip. log. of £ (or log. of 2) is-0669467,90, which falls short of ED 
in my ist Table, by -01224344,56; from whose log. take the con- 
stant log. log. of ©, and we find the number answering to the remain- 
der to be 24-96282; and therefore §=136:03722-+ 3f+ 14m ; 
where, for the purposes of Temperaments, the first of the two last 
terms, or the {’s, may always be neglected, as not affecting the re- 
sults, and so may the last term or the m’s, and the artificial commas 
only be used, unless sometimes, and where extreme accuracy is 
wanted, as will be further shewn. 
