Y ) 
Thus, by the help of Flats and Sharps ( dividing eacli 
fVhok-note^ be it the Greater or the Leller, into two Half-notes^ 
or what we call fo, ) the whole 05itave is divided into Twelv^e 
Parts or Intervals ( contained between Thirteen Pipes ) which 
are commonly called Hemitones ox Half-notes. Not/ that each 
is precifely Half a Note y but fomewhatnear it, and fo called. 
And I fay, by Flats and Sharps ; For fometime the one, fome- 
tirae the other, is ufed. As, for inftance, a Flat in D, or a 
Sharp in C, do either of them denote a Midling Sound ( tho' 
not precifely in the Midfl: ) between C and D ; Sharper than 
-C^ and Flatter thin D 
Accordingly ; fuppofing Mi to ftand in B/^ b mi (which is 
accounted its Natural feat ) the Sounds of each Pi^e are tob^ar 
thefe proportions to each other, Vti. 
B C ^ D E F # G a ^ b 
mi fa ^ fol ^ la fa ^ fol ^ h ^ mi 
i6 i8 n 20 1^ 16 18 17 2ig 1^ iS t7 
i5 17 T9 iS 15 17 15 19 18" 17 15 
[ I 1 ^ I 1 ^ ■ I : 
i 
T 
And fo in each Oilave fucceflively following. And if the 
Pipes in each 0£lave be fitted to founds in thefe proportions 
of Gravity & Acutenefs ; it will be fuppofed ( according to 
this Hypothefis ) to be pe]pfe6l:ly proportioned. 
But, inftead of thefe fucceflive proportions for each Henii- 
tone ; it is found neceflary ( if I do not miflake the pra>5lile } 
fo to order the 13 Pipes (containing 12 Intervals which they 
call Hemitones ) as that their Sounds ( as to Gravity & Acute* 
tiefs ) be in Continual Proportion, ( each to its next following, 
in one and the fame Proportion ; ) which, ail together, fhall 
com pleat that of an Octave or Dia-pafon, as 2 to i Whereby 
it comes to pafs, that each Pipe doth not exprefs its proper 
Sound, but very near it; yet fbmewhat varying from it; 
Which they call Bearing, Which is Ibmewhat of Iniperfedlion 
in this Noble Inftrumentj the Top of all. 
