44 



3\(aturall Hi/iory ; 



182 



18? 



Experiments 

 in Confort 

 touching the 

 Proportion of 

 TrcbbiemA 

 Ertfe tones. 



184 



185 



186 



of the String with the Finger As in the Necks of Lutes, Viols,&c, The 

 other is th&Shartnefm the String , As in Harps , Vaginalis &c. Both 

 thefe have one, and the fame reaton 5 For they caufe the String to give a 

 quicker Start. 



In the Straining of a String, the further it is ftrained, the lefs Superftrain- 

 ing goeth to a Note •, For it rcquireth good Winding of a String, before it 

 will make any Note at all .• And in the Stops or" Lutes, &c. the higher they 

 go, the lefs Diftance is between the Frets. 



If you fill a Drinking Glafl with Water ^ (efpecially one Sharp below, and 

 Wide above,)and Fillip upon the Brim, or Out fide-, And after, empty Part 

 oi'ihe Water, and fo more and more, and mil try the Tone by Fillipping 

 you malltfnd the T one fall,and be more Safe, as the'c/^/is more Empty. 



The Jufl; and Meafured Proportion of rhe Air Percuffed, to- 

 wards the Bafenefi or Trebbkne ft of Tones, is one of the greateft 

 Secrets in the Conrerr. plation of Sounds. For it difcovereth the 

 true Coincidence of Tones into Diapafons : Which is the Return 

 of the fame And fo of the Concords and Difcords 5 between 



the Unifon, and Diapafon , Which we have touched before,in the 

 Experiments of Muftck but think fit to refume it here, asaprinci- 

 pall Part ofour Enquiry touching the Nature q( Sounds, It may 

 be found out in the Pro/wra^of the Winding of Strings • In the 

 Proportion of the Diftance of Frets . And in the 'Proportion of the 

 Concave of Pipes^ cVc. Butmoft commodioufly in the laft of 

 thefe. 



Try therefore the Winding of a String once about, as foon as it is brought 

 to that Extenfion,as will give a T one $ And then of twice about -,And thrice 

 about, &c. And mark the Scale or Difference of the Rice of the Tone : 

 Whereby you mall difcover, in one, two Fffeds Both the Proportion of 

 the \ ound towards the D-imenfion of the grinding And the Proportion like- 

 wife of the Sound towards the 5 fringes it is more or lefs (trained. But note 

 that to meafure this, the way will be, to taKe the Length in a right Line of 

 the String, upon any Winding about of the Peg. 



As for the Stops, you are to take the Number of Frets And principally 

 the Length of the Line , from the firtt Stop of the Stringy unto fuch a Stop 

 as (hall produce a Diapafon to the former Stop, upon the lame String, 



But it will beft (as it is faid) appear, in the Bores of Wind-Inftrumenps : 

 And therefore caufe fome half dozen Pipes ,to be made, in length, and all 

 things elfe, alike, with a fingle, double, and foon to a fextuple And 

 fo mark what Fall of T one every one giveth. But ftill in thefe three laft In- 

 ftances, youmuft diligently obferve, what Length of String, ox Diftance of 

 Stop,ov Concave of Air, maketh what Rife of Sound. As in the laft of thefe 

 (which (aswefaidj is that, which giveth the apteft clemonft ration,) you 

 muftfet down what Encreafe of Concave goeth to the making of a Note 

 higher-, And what of two Notes And what of three Notes - y And fo up to the 

 Diapafon : For then the great Secret of Numbers and Proportions, will ap- 

 peanlt is not unlikely, that thofe that make Recorders, Sec. know this alrea- 

 dy : for that they make them in Sets. And likewife Be II- founders in fitting 

 \ the 



