to have their Sounds in juft Proporcion, as well as thus Bear- 
mg ? 
I anfwer, It might very well be fo, if all Mufick were Com- 
pofed to the fame Key^ or (as the Greeks call it ) the lame 
Mode, As, for inftance, ifj in all Compofuions, M were al- 
waies placed in B fab mi For then the Pipes might be or- 
dered in fuch proportions as I have now deligned. 
But Mufical CompoGtions are made in great variety of 
Modes^ or with great diverfity in the Titch. Mi is not al- 
ways placed in B fa h mi; but fometimes in E la mi ; fome- 
times in A /a mt re^ &c. And ( in fumme ) there is none of 
thele iz or ig Pipes but may be made the Seat of Mt. And 
if they were exadlly fitted to any one of thefe calls, they 
would be '(juite out of order for all the reft. 
As, for inftance ; If Mt be removed from Bfahmi (by 
a i%/ in B ) toE la mi: Inftead of the Proportions but now 
deiigned, they mult be thus ordered ; 
B4^=c|=D:#=EF^G4t=ab 
fa jjir Jbl ^ k ^ mi fa ^ Jol ^ la fa 
x8 17 20 19 18 17 16 18 17 20 19 16 
T7 16 19 T8 17 T5 I5 17 T5 T9 tl Is 
Where 'tis manifeft, that the removal of doth quite difor- 
der the whole ieries of Proportions. And the fame would 
again happen, if mi be removed from E to A ( by another 
Flat in E. ) And again if removed from A to D. And fb 
perpetually. 
But the Hemitones being made all Equal; they do indif^ 
ferently anfwer all the poiitions of Mi ( though not exactly to 
any : ) Yet nearer to fome than to others. Whence it is, that 
the fame Tune founds better at one Key than at another. 
It is asked, Whether this may not be remedied ; by inter- 
pofing more Pipes ; and thereby dividing a Note, not only 
(as now) into Half-notes^ but into §^rter-notes or Haf- 
quarter-notesj &c. 
I anfwer ; It may be thus remedied in part ; (that is, the 
Imperfe6lion might thus be fome what Lefs, and the Sounds 
ibmewhat nearer to the jufl Proportions:) but if can never 
be exadly true, fb long as their Sounds ( be they never fb 
many ) 
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