181. 
1§2. 
183. 
| Experimests 
in Confort, 
| touchino the 
Proporsion of 
Trebble and 
Bafe Tonese 
184. 
‘4 broughe to that extenfion as will give a Tone, and then of twice about, and} 
| 44 
{the String with the Finger; asin the ‘Necks of Lutes, Viols, &c. ‘Lhe 
| the Parte: is drawn down to the Spermatical Wedlelsy | it sieve the ‘Boay 
more hot than it was; whence cometh the dilatation of the Pipes: Bor we} 
fee plainly all effeéts of Heat do then come on; as ero marereughys 
nels of the skin, hardnefs of the Aefh,&c. , heal 
The induftry of the c%ufitian, hath ptoduced two other means of Siainsi h 
ing, or Jatenfion of Strings, befides their Winding up. The one is the Stopping of 
i other is the Shortnef of the String; asin Harps, Virginals,&c. Both thefe} 
have one and the fame reafon, for they caufe the String togive a quickss . 
fart. 
In the training of a String, the furcherit is {tugined, the lets firiteGcain. . 
ing goethtoa Note: Forit requireth good winding of a String, before it | 
will make any Note atall. And.in the ftops of Lutes, &c. the higher they | 
go, thelefs diftance is between the Frets. . 
If you fill a Drinking Glaf with Water, (efpecially one fharp below, | 
and wide above) and fillip upon the Brim, or outfide;, and after, empty | 
part of the Water, and fomore andmore, and ftill try the Tone by fillip- 
ing; you fhall finde ae Tone fall, . and be more Bale as the. Glas i is mere ‘ 
ka | yh & bre ia 
— 
sani 
He jut and meafured Proportion of the Air pctculieds tehvatdy the | 
Bafenefs or Trebblencfs of Tones, isone of the greateft fecretsinthe| 
‘Contemplation of Sounds, For it difeovereth the true Coincidence of | 
Tones into Diapafons, which is the return of the fame Sound. And {6 of | 
the Concords and Difcords, betweenthe Unifon and Diapafon; which we | 
| have touched before in the Experiments of Mufick, but think fit to refume it 
| here asa principal partof our Inquiry, touching the Nature of Sounds. It may 
| be found outin the Proportion of the Winding of Strings, inthe Proportion | — 
| of the Diftance of Frets, and in the Proportion of the Come Bip, &e. 
| But moft commodicuily in the laft of thele. | 
a 9 < 
Try therefore the Winding of a S:ting once abous, as onan it is} 
_| thrice about, &e. And mark the {cale or difference of the Rice of the Tone, |” 
185. 
186. 
. then the great fecret of Numbers and iy Hie will sui wih 
you muft diligently obferve, what length of String, or diftance of Stop, or) | 
!concaveof Air, maketh whatrife of Sound. As in the laft of thefe (which, F7| 
jas wefaid, is that which giveth the apreft demonftration) youmutt fet down | 
whereby you fhall difcover in one, two cfreas; boththe proportion of the} | 
Sound towards the Dimenfion of the Winding, and the proportion likewife | 
of the Sound towards the String, as it is more or lefs ftrained, But notethat 
to meafure this, the way will be to take the length i in aright son of the Strings 
upon any. Winding about of the Peg. rt 
Asfor the Stops, you are to take the number of Erets, and pumeaall p! 
the length of theLine, from the firft top of the Sting, unto fuch alton. dl 4a 
fhall produce a Diapafon to the former ftop, upon the fame String. » t 
~ Burit will beft (as it is faid) appear in the Bores of Wind- Luftruments ; ama 
‘therefore caufe fome half dozen Pipes to bemade in length, and all things | 
celica like, witha fingle double, and fo one toafextupleBore; and fo mark | 
what fall of Tone every one giveth, Bur fill in thefe three Jatt inftances 
whar increafe of Concave goeth to the making of a Note higher, an 
of two Notes, and what of three Notes, ‘and fo up to the Diapafon: - 
