70 Mr. Farey’s Letter on musical Intervals, &¢. 
downwards from c, another one of these concords, which is 
éalled its complement, will in every case result or remain 
(true, and without any Beats, as all experiments prove) as 
the difference, between the lower Octave note C and the 
lowest note of such subtracted concord. 
It has been, therefore, with some propriety, that the ma- 
jority of the writers of Treatises, have adopted, and adhered 
to the principle, of defining Intervals, as the sums or differ- 
ences of other Intervals, or of some of their multiples : and 
the very frequent use of the major Tone T (having the ratio 
ts of the minor Tone t (+ *;), and of the major Semitone S$ 
'§), as degrees or leaps in the Scale of melody, have led 
these Writers almost unanimously to adopt those three Inter- 
vals, as the terms of their Notation of Intervals, in general: in 
which manner, for example, the above seven Concords, 
beginning with the smallest, are expressed as follows, viz. 
T+S, Tet T+t+58, 2 T+t+8, 2 P4142 8, 27T42t 
+5, and 3T+ 2 th ot Paseciet answer to the Literals, 
ED, E, F, G, 4 
e, for in 
Douzeave which Mr. Siena ails eee: ; (p. 28 
of his “ Essay on perfect ee they are as follows, 
viz. C=o0, C#=T—S, D=T, Fo=2 T+t, Go= 
2t, Bo =2 cdi t+2 s, and B=3 T 42 t-+S8. 
may proceed no further than to the con- 
sideration eee the scale of 12 notes, which is defined above, 
without proceeding to supply the other intermediate notes, 
which become necessary in percent the modulation, (as 
Mr. Liston has done,) may remain in a great degree igno- 
rant of the great defect of this particular mode of Notation : 
arising, not from any defect in its principle, as has been ob- 
served above, but merely from the largeness of its terms, 
T,tand$3; which occasion negative signs so frequently to 
secur, and connecting such varied multiples of these terms, 
as almost certainly to bewilder and disgust most of those 
who may attempt to follow Mr. Liston, through the large 
folding Tables inserted in his Essay. I have conversed 
ps more than a score of Musicians, who had previously 
sed Mr. L.’s Essay, but not one of whom had got over 
ee atunsb sip bieicl last mentioned.—One of these Gentle- 
men, having more perseverance than others, observed to me 
