Pa 
Mr. Farey’s Letter on musical Intervals, &c. 65 
HARMONICS. 
——= + 
* On different modes of expressing the magnitudes and rela- 
tions of Musical Intervals ; with some remarks, in com- 
mendation of Professor Fisuer’s Proportionally-tem- 
pered Douzeave, calculated in page 195. Vol. 1.—commu- 
nicated to the Editor by Mr. Joun Farey, Senr. Mineral 
Surveyor of Lonvon. 
TO PROFESSOR SILLIMAN. 
Sir, 
‘Havin G perused the two first numbers of your Ameri- 
can Journal of Scrence, I have been gratified by observing 
the distinguished rank which two different subjects hold 
therein; one of which has, through a long period, been to 
me a favourite source of amusement, while relaxing from my 
professional studies and practice, under the other of these 
branches of knowledge. 
The Essay on Musical Temperament by Professor Fish- 
er, with which your work commences, has been to me, a 
rich treat, for which I beg to tender that Gentleman my 
best thanks, and to declare, that I have before met with 
nothing like it in point of utility, in an attentive perusal of 
nearly every thing which has been printed in the English 
language, on the subject of Musical Temperament, and as — 
to the correct and practically useful views, which are therein 
taken of the subject. It is with the hope of drawing a more 
* Remark.—The following communication was received 
‘soon after the fourth and last number of this work was pub- 
lished: and it is regretted that no earlier opportunity has 
occurred, of giving it publicity. We give it entire in the 
present Number, that we may present in one view the opin- 
ion of Mr. Farey (one of the few competent judges) re- 
specting Prof. Fisher’s original speculations on this curious 
subject. : 
Vou Ut....Ne. 1: i) : 
