if 
ae 
FE 
£ 
z 
x 
g 
a 
feu 
if 
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f 
E 
FAREY’S NOTATION: | ° 
‘ways, 
t of the above system with the Isotonic, 
(which agree in sel , it may be proper to state, that 
in lengths of strings, the greatest difference (on Gi) is 
Viths. | Totals, 
J. Farey’s System, 
sotonic, 
18,2413 
Ep .0092 
0006 
183.1550 |847.2849 
183.1527 |847.2912 
%,0126 .0063 
0002]  .0001 
254.2596 
254.2546 
or Bp. 
FAREY’s Noration or Musicat Intrrvars. This 
new mode of expressing the magnitudes of intervals ha- 
ving been in our work, it may be proper to say 
a few words in this place on the discovery of this nota- 
tion. The late Mr Marmaduke Overend, organist of 
Isleworth Church, near London, and author of “a brief 
account of, and an introduction to, Eight Lectures in 
the Science of Music, (intended) tobe read,” &c. 4to. 
pp- 20. Payne & Son, 1781, bestowed inconceivable 
pains and labour on the calculations and ison of 
musical intervals, by actual involutions, multiplications, 
&c. of the terms of their ratios, never using logarithms, 
and but rarely resorting to the indices of the 
nent primes, for shortening his work: he pdageohb 
consistent nomenclature hout, to which 
At the conclusion of of his arithmetical calcu- 
lations, as above, Mr Overend was careful to express 
his results in form of equations, by means of his sym- 
bols, and to transcribe the whole neatly into thick = 
to volumes. After Mr Overend’s death, Dr John Wall 
Callcott, one of the most able but unfortunate of mu- 
stcians, havin all Mr Overend’s i 
from his family, kindly offered the use of the above men- 
tioned quarto volumes to Mr Farey, with issi 
to make all such extracts from, an 
volumes, in June 1807, Mr Farey fo 
namber of intervals 
-aad expressed in his 
(to be read «* fall schisma,”) and the asterisk in its-usual 
united, *, will denote the fall of a 
queticeanum ae or &, and ™ 
ATION ‘usical Intervals, 
And he marked the sameat the time, in 
an immense 
deduced by Mr Overend, 
which no previous wri- 
position 
Bp acy aber peice el — 
2 
minor eomma or €:, and ** the rise of the same interval: and, in like ma 
the fall of aren Sohated, stachel ether the Menlo the humeteal es 
ae pencil, in Mr Overend’s volumes, where stilh remain, i the library of the Royal Jpstitw- 
tion-in. Albernatle Street ; to which public bedy Dr-Calloott soon after presenved thous etcious toanuseript volumes 7 
discovered, viz. d, f and m ; but this notation, as well 
as that by F, f and m, proving to have negative signs 
to. m, in every instance, as remarked in our article 
Common Measures of Musical Intervals, he next trie 
=, fandm, which has been found in its most exten 
use, the best adapted by far, than any others of the nue 
petits tre 58247f +31 m, and 6 
E44 f4 17m, 358547 f 431m, and 612 54. 
12 fia ag tb age may easily be peti 
true, by either the indices of the. primes, or the log 
rithms “of these intervals, in our Table, Plate X3%. 
Vol. IT. by adding together 197 times 5, 4 times f, and 
17 times m, and so of the others, the following resolu- 
emeunticapenes would readil 
®, to denote the rise of a schisma, (to be read «rise schismia”) ; so 
I 
pressions for all the intervals in the 
9m 2 
