was induced to pa 
convinced 
y 
onvinced was at 
FAREY’S TEMPERAMENT. 273 
best but a most 
Ss q 
LET] 
eraiok 
5 ie 
Faye 
: = 
ri 
& 
E 
z 
iff 
ifs 
| 
tl 
it 
S 
< 
g 
8 
| 
ily 
ile 
i 
only. Thatis to say, ifon C (on a range of pipes) 
the five successive perfect fourths. CF, FBp, Bb E p, 
Ep Ap and A’) D'p, be very correctly tuned upwards, 
and from the hi these notes, descending again 
by two perfect fifths, D'p Gp, and Gp F,X, and a 
major third F,% G, (which notes, in Farey’s arti- 
ficial commas, are, 0, 254, 508, 762, 1016, 1270, 912; 
554, and 357, ively), the last of these sounds, 
Eek edb enettine sae common notation, is the 
proper fifth above C, in this system. After this, new 
G has been transferred to the range of pipes intended 
to be tuned, sume laguna: is to be made at this note; 
ths 
which are discords!—the length of and 5-4ths up, and 2- and a IIId down, are to be 
carefully tuned for obtaining D, a proper new fifth, 
‘nore bile to G. From this'D, A is.to be tuned 
in like manner, and likewise E, B, FX, CX and GX in 
succession. . This: process is then to be discontinued, 
and a new beginning made from C, by tuning upwards 
the three fifths CG, GD, and DA’, and the major third 
A’CX, and thence downwards, the four minor fourths 
CxG’%, G’KD’%; D’ A’, and A’F*, which last 
note (being the same with Mr Liston’s E’) is the pro- 
per fourth of this system, 7. e. in Art. Com. 358, 716, 
1074, 1271, 1017, 763, 509, and 255. Upon F*, two 
other schisma-excessive fourths are to be tuned in suc- 
cession, as above, for Bp and Ep ; and thus eleven fifths 
will be obtained, each equal 5-4ths—2 V—III, and a re- 
sulting one, GKEp, equal 29 V+11 I[I1—48-4ths, 
Its fourth CF*, and complementary fifth F*C, being 
found ready tuned on Liston’s organ ; and whereon also 
there are 14 other pairs of notes, at the exact distance 
apart of this fourth, and 14 fifths (their complements), 
which agree exactly in their quantity therewith, but not 
with their in the scale, as Mr Farey has obser- 
or eq 
ing Table, consisting of 11 columns, numbered at top, 
sill tenticlod at/cntsen, bettisse intemladlan:be read are 
wards, according to the practice of musicians. 
7 8 9 10 I 
Ugnagagh awa i & 
ao 
3 
24.4551 | 17,9658 | 2.0464 | 1.5330/28.5507 | 20.5644 
23.0595 | 16.9766] 1.9315 | 1.4470] 26.9183 | 19.4103 
21.7871 | 16.0239) 1.8229 | 1.8658 | 25.4366 | 18.3206 
20.5644 | 15.1075) 1.7149 | 1.2993| 24.0085 | 17.2752 
19.4103 | 14.2753 | 1.6240 | 1.2169| 22.6614 | 16.3218 
18.3206 | 13.4591-| 1.5330 | 1.1483| 21.3892 | 15.3907 
17.2752 | 12.7183| 1.4470 | 1.0889|20.1655 | 14.5412 
16.3218 | 12.0043 | 1.3658. | 1.0232/| 19.0556 | 13.7251 
15.3907 | 11.3307} 1.2993 | .9657|17.9658 | 12.9548 
14.5412 | 10,6946) 1.2169 | .9115|16.9766 | 12.2975 
13.7251 | 10.0828]1.1483 | .8574|16.0239 | 11.5298 
12.9548 | 9.5278|1.0889 | .8120115.1075 | 10.8936 
i 
Flat Srds. I1lds|Sharp4ths.|Flat Vths.| Flat 6ths. | Sharp VIths. 
(Harmonies, 2d edit. p. 166), that its 
-raments of its V, VI and On eobe ieloue ns 
may nevertheless be 
‘OL. IX, PART I. 
coarse and disagreeable ;” and has, at p. 167,. erroneously stated the tempe- 
wand 10th 
