78 Mr. Farey’s Letter on musical Intervals, &c. 
Qdly. We will suppose that I was at first at a loss to recol- 
lect, which is the note in the upper octave, that limits the 
major third above B; I have, for removing this difficulty, 
only to add 197 to 543, which gives 7502 ; and to observe 
that this is the nearest to eb, which is 763-8974 ; from this 
therefore, I must take B or 553:1203, and 210°7771 re- 
mains ; which exceeds 197, by 13°77712, and shews this 
last to be the sharp Temperament of this major third wolf. 
Besides distinguishing those Temperaments in col. 
g t 
of flat, I have added a w to distinguish the fifth wolf; the 
same remark applies to col. 5, as to the temperament of the 
ilId on A being flat, and to the four major third wolves, and 
also to the three minor third wolves, in col. 6. I have at 
the bottom of the columns, added up the sharp and flat tem- 
peraments, in order to shew that the Sum in col. 4 is 
—12-02; in col. 5, =+84°02; and in col. 6, =—96- Os ; 
these + being general properties of all Douzeave systems : 
sos if my knowledge and memory correctly serve me, | 
as the first to publish, in the Phil. Mag. Vol. 28, plete 5; 
iat to demonstrate in Vol. 36, p. 43. 
The order of the’several concords, as to their envio of 
harmoniousness, measured by their Temperaments, to the 
nearest tenth of a Schisma, or ;}> of a comma, are as fol- 
lows = : 
cH, D , Fo, Gis nd Bo, require to be altered m, and those on Eb 
and F, peweue correcting 2 m; all of these, by increasing the 
Temperame 
S eranate must suffice ; in the Text, the Temperament of 
the et? Ilfd on B, has already been found 13: (Me which it now 
appears, is to be increased °0157=, and made 13-7928. This 
— might t have been lessened, if the secre Table X. had 
ited “2 con in Schismas and decimals, by applying the 
saabers | in Table IX, to the numbers of an Isotonic Douzeave 
composed of ihe of 512. 
_+ When the corrections of the Temperaments, on accont of 
the m’s, are made, the casting will stand thus, viz. —23-7527 
+ 11°7448, —12-00079E ; + 84-2669 —‘2040, —84-0629=; and 
—96-0708%, which sccord with my determinations in the Philo- 
sophical Magazine. 
