CENTURY II. 103 



184. Try therefore the winding of a string once 

 about, as soon as it is brought to that extension as 

 will give a tone ; and then of twice about, and thrice 

 about, &c. and mark the scale or difference of the 

 rise of the tone : whereby you shall discover, in one, 

 two effects ; both the proportion of the sound towards 

 the dimension of the winding ; and the proportion 

 likewise of the sound towards the string, as it is 

 more or less strained. But note that to measure 

 this, the way will be, to take the length in a right 

 line of the string, upon any winding about of the peg. 



185. As for the stops, you are to take the num 

 ber of frets ; and principally the length of the line, 

 from the first stop of the string, unto such a stop as 

 shall produce a diapason to the former stop upon the 

 same string. 



186. But it will best, as it is said, appear in 

 the bores of wind instruments : and therefore cause 

 some half dozen pipes to be made, in length and all 

 things else alike, with a single, double, and so on to 

 a sextuple bore ; and so mark what fall of tone every 

 one giveth. But still in these three last instances, 

 you must diligently observe, what length of string, 

 or distance of stop, or concave of air, maketh what 

 rise of sound. As in the last of these, which, as we 

 said, is that which giveth the aptest demonstration, 

 you must set down what increase of concave goeth 

 to the making of a note higher ; and what of two 

 notes ; and what of three notes ; and so up to the 

 diapason : for then the great secret of numbers and 

 proportions will appear. It is not unlike that those 



