Mr. Farey’s Letter on musical Intervals, &c. 77 
and m’s are wanted, they are the same as in Table I; and 
m order to obtain the numbers in the remaining columns, 
octaves must be stated above col. 2, for the Notes ct, d, eb, 
e, f and f#, by adding 6125 to each of the corresponding 
notes, from Cit to Fa. 
It must be recollected, (as is shewn in Table I.) that the 
three perfect concords whose Numerals stand at the heads 
of cols. 4, 5 and 6, are 358, 197 and 1612 respectively : 
and the mode of obtaining the numbers in these three last 
columns, will then be made evident, by two examples, viz. 
Ist, in order to calculate the Temperaments of the Vth 
above B; from the value of its upper note ff or 908-2000, 
take the value of B or 553°1203, and the remainder is 
355°0797=, which being less than 3582, shews the T’em- 
perament to be flat, as is expressed at the top of the co- 
lumn, and the difference of ihe two last numbers is 2°92033, 
the Temperament required, but only the two first of these 
figures is entered in the able, for reasons which will ap- 
pear in the Note which is annexed.* 
* Rather more exact results than the Schismas and tenths which 
are set down in Table II, might be obtained, by multiplying Pro- 
fessor Fisher’s Temperaments, in his X1Ith Table, by 0°0204037 ; 
and this method may be used for checking my Table. The rea- 
sons why only the first plaee of decimals of 2s are set down in my 
Table are, because this isa sufficient degree of exactness for the ar- 
ranged Table of Temperaments and remarks thereon, which I in- 
tend further on; and because, when more places of decimals are re- 
quired to be érwe, some corrections must be made, for the m’s that 
are overlooked in the above calculations, by artificial commas. 
The f’s or second terms of my Notation, do not occasion errors in 
any of these calculations; nor do the m’s do so, in the Tempera- 
ments of 8 of the Vths viz. on C, E, F, Ftt, G, A, BO or B; or in 
6 of the Ids, viz. on C, D, ED, E, F or G; or in 5 of the 3ds, 
viz.onC, KE, Gtt, A orB. The corrections of the Vth Tempera- 
ments are as follows, viz. those on CH, D, and Eb require to be 
altered m (or :007862) viz. the Temperaments that are ft, to be 
decreased, that which is b, increased: and the wolf on Gf re- 
quires to be increased 2m (or ‘O01 5724z.) The Wids Tempera- 
ments require correcting thus; viz. those on Cif, Fit, A and Bo, 
to be altered m: the ft Temperaments to be increased, and the b 
one decreased; and the Temperaments on Git and B, require to be 
increased 2m. And inthe 3ds column, the Temperamenis on 
