f 
» , - _ _ ■ -- - -- - — -=— , - --. 
Century . IL 
The Iuft and Mdfured Proportion of iWAire Percujfed,io~ 
wards the Bafenejfe or Treblmeffe of Ton.es r ti one of Vhc 
reft Secrets in the Contemplation of Sounds. Fo^it difeotie^ 
reth the ttmCoincidente of Tones into Diapdfons- ^V5micfaf»i§ilii 
Rcturneof the fame Sound. Andfoof Concords and Difi 
cords, between^ the Vnifon , and Diapafon j Whichwehatie tou¬ 
ched before, in the Experiments of Muficke } bucthiukefii ip 
:j relume it here , as a principal! Part of our Enquiry touching 
; the Nature of Sounds.h may bee found out in the Proportion of 
:j the Winding of Strings : ,In the Proportion of the Difiance p i 
| Frets ; And in the Proportion of the ConcaueotPipes^ddc. But 
• moft commodioufly in the laft ofthele. 
Trv therefore the Winding of aStringonce about, asToone as it is 
; brought to that Extenfion, as will giuea. Tone . And then of twice 
about • And thrice about, &c. And marke the Scale or Difference of 
the Rife of the Tone: Whereby yocTftall difeouer, in one, two Effects • 
Boththe Proportion of the Sound towards the Dmenfion of the Winding • 
" Atrd the Proportion likewife of thtfSwiftf towards the Siring, as itis more 
' or lefleftrained.. But note that to>meafure this, the way will bee, to take 
the Length in a right Line of the String, vpon any Winding abbue bf 1 
the Peg. ’ . ' v - • 
As for the Stops, you are to take the dumber of Frets j Andprinci- 
pallytheLfligrJ&of the Line, from the firft Stop of the String, -v-nto fuch 
a Stop as fhall produce a Diapafon to the former Stop, vperi the fame 
String. 
Butitwillbeft (asitisfaid) appeare, in rhe Bores oFwind-Inftrtments: 
: And therefore caufe fome halfe dozen Pipes , to be made, in length, and 11 
all things elfe, alike, with a fingle, double, and fo on toa fexttiple Bore ■ J 
And fo marke what Fall of Tone euery one giueth . But ftill in thefe three 
la dlnjlances, you muff diligently obfetue, what Length of Stringy oxDt- 
(lance of Slop , or Concauecf Aire, makedi what Rife of Sound. As in the 
faff of thefe (which fas wee faid) is that, which giueth th^apfeff demon- 
(tmion,) you muff let downe what Encreafe of Concme goeth to the | 
Making of a Note higher ^ And what of two Notes • And what of three 
Notes *, Andfovp to the Diapafon : For then the great S ecret of Nam - ■ 
j bers, and Proportions^ will appeare. It is not vnlike, thatthofe that make 
j Recorders , &c. know this already : for that they make them in Sets. A fid 
likewife Bed-Founders in fitting the Tune of their Bets. So that Enquiry i 
may lane Triall. Surely, ithathbeene oblerftedby one of the Ancients % 
that an Empty Barrel knocked vpon with the finger, giueth a Diapafon 
to the Sound of the like B ar rell full ^ Bup hoW that fhould bee, Idoenpt 
well vnderftand • For that the knocking of a Barrdl f»U, ot'Empty, doth 
IcatcegiueanyT^. * • ^ ; 
: v- . . . There- 
_1L 
Experiments 
in Co'nfort, 
touching the j 
"Proportion of 
Treble And lt.ije 
Tones. 
i§4 
185 
i8<5 
S 1 
