176 Notices respecting New Books. 
certs where keyed instruments are used. If, either the tunirig 
of an organ &c. was begun on any othernote than C, as in 
tuning the violin, &c., or tuning progressions were carried 
oi, wholly or in part by perfect IIIds, 4ths and VIths, or 
even by 3ds and 6ths, which are alike practicable, with 
using Vths alone, wolves might shortly be found on each 
of the 12 notes, and even three and sometimes four of 
these jarring elements would be found, inherent in the same 
finger-key; as an inspection and trial, upon Maxwell’s 
complete diatonic scale, would readily satisfy any ones 
Much Jabour would attend the collecting, of what I have 
conceived to ‘be the requisite data, for determining the best 
general system of tones for our keyed instruments, viz. a 
very general and extensive search mto the music, both an- 
tient and modern, seriousand gay, which is now performing, 
to ascertain the relative or proportionate frequency of occurs 
rence, of the several chords or harmonic intervals, which 
occur upon each finger-key as a bass or lower note ; that, if 
possible, the chords most frequently occurring, may be made 
proportionally nearer to perfection ; for none can, with pro 
priety, it is plain, be made absolutely perfect. 
I am, sir, your obedient servant, 
Joun Farry. 
22, Upper Crown-Street, Westminster, 
WNov..4, 1806. 
XXX. Notices respecting New Books. 
A Treatise on Plain and Spherical Trigonometry : with their 
most useful Practical Applications. By Joun Bonny- 
CASTLE. §8vo. pp. 419. Johnson. 1806. 
Mz. Bonnycastle has. for several years been well known to 
the public, as the writer of various ‘useful elementary works 
on mathematical topics; and one of those treatises in pars 
ticular, we mean that on astronomy, displays so much 
chasteness and propriety of style, as to rank its author 
among the most elegant scientific writers of the present 
times: but we conceive none of his publications will. tend 
sO 
