EE 
Mr. Farey’s Letter on musical Intervals, &. 77 
and m’s are wanted, they are the same as in Table 1; and 
in order to obtain the numbers in the remaining "Pa 
octaves must be stated above col. 2, for the Notes ct, d, eb, 
e, f and f#, by adding 612= to each of the eatrespntiding 
oer from Cit to Fz. 
t must be recollected, (as is shewe in Table I.) that the 
three perfect concords whose Numerals stand at the heads 
of cols. 4, 5 and 6, are 358z, 197= and 161 respectively : 
and the ode 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 f# or 908-2000, 
take the’ value of B_ or 553-1203, and the remainder is 
355°0797z, which being less than 358, shews the Tem- 
perament to be flat, as is expressed at the top of the co- 
mn, and the difference of the two last numbers is 29203, 
the Temperament required, but only the two first of these. 
figures is entered. in the Table, for reasons which will ap- 
pear in the Note which is annexed.* 
* Rather more exact results than the Schismas and tenths ae: 
are set down in Table II, might be obtained, by multiplying 
fessor Fisher’s Temperaments, in his X {th Ta ble, by O° 6204037 5 } 
and this ene mey be used for checking my Tab ble. ‘The rea- 
tend farther on; and because, when more places of decimals are re- 
quired to be tru rue, 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 See aS 
aemeot 8 of the Vths viz. on C, E, F, Fi, G,A, Bo or B; or i 
ei we n.G D, ED e F or G3; or in 5 of the di, 
viz. on "The corrections ‘of the Vth Tempera- 
ments arp as follovin, viz. those on Ctt, D, and Eb require to be 
altered m (or -00738622 z) vy iz. ie ip etapercascuts that are f, to be 
decreased, that which is 6, increased: and the wolf on Gf re- 
quires to ba increased 2m m (or DST 24s.) -) The Mlds bp i 
ments require correcting thus; viz. those on | CH, FH, A and 
to be altered m: the { Temperaments to be increased, and the ‘ 
one decreased ; and the Temperaments on GH and B, requiie to be 
increased 2m. And i in the 3ds column, the Temperaments on 
