76 Mr. Farey’s Letter on musical Iniervals, c. 
TABLE II. 
|’ Intervals of the Scale, in ) Temperaments, of the _ 
Literals| Artificial com-|Numerals || Vths IlIds | =. 
zs zs) | rst | 
c 612°0000| VIII 
Bi: 5531203) VII 2°9lw 13°8 3.0 
Bo 512°6776| 7 2°2 14iw 22-7 
A 4541447; VI 2-8} 59-2 31 
Gy 3979991 |Ext.4V\\wit7-9\w 17-0 5°9 
G 355°24 Qe 0-9 36 
F fi 296°2000, IV 3°3)w 19°5 Bo | 
F 256°5327 2-6. O-6\w 19°5 
E 197°3246| III 22, oS 3 
ED | 151-8974) 3 42-8} 6-3iw 16-7 
D 99°0776| II 2:9 0-1 3°6 
CH 38°9328| I H1-1\w 20-6} 26 
C 0° 1 2°38 0:3) 94 
23-8| + 84-2| —96.0 
ogee $118) —0-2) 
i ar Ess tet ps te 
The three first columns of the above Table can need ne 
further description; except mentioning, that in case the f’s 
36902910, is oe constant jog. log. for reducing 7—place recip. logs. 
to logs. of Schisn s ; and such is likewise the constant addend for 
reducing Schisnias to recip. common logs. In the above example 
the log. of 9212:72 is 39643878 ; from which take the constant 
log. log. 3°6902910 (or 1s: of 4901-07) and 0°2740968 remains, 
whose number is 1°879742 as above. 
fn this manner also, may ee pidge other primes larger than 
5, be reduced to my notation: if for example, the false minor 
Third § mentioned in your 195th paae,' were given : the Tabular 
recip. log. of $ (or log. of 2) is-0669467,90, which falls short of ED ~ 
in my Ist Table, by -01 sarteeat from whose log. take the con- 
stant log. log. of 5, and we find then remai 
der to be 24-9628= ; and therefoke’ ® $2136 0575-4 Sf 1am 3 ; 
where, for the purposes of ‘Temperame nts, the first of the two last 
terms, or the f’s, a. always be sieplected, as not —— the re- 
only be used, unless sometimes, and where extreme accuracy is 
—_—— as will be further shewn. 
