( 6 97 )
Now l lay, Fretting, ( or Stoping with the Thumb) at z§2 must produceC-fa-ut ; bccause 360 being Half 710, the Sound wifl Rise an EigU fromdouble C-fa-ut. Again 360 being C-fa-ut , 140 must make G -fol-rc-ut, theThird Note in the Tablc; because 140 being just a Third-part lefs than3sio, the Sound will Rise a Fiftb from that Note. Affer the fame niannerproceeding Step by Step it will be evident that,
1441 10yo80
T
fio
48
45
1 °°, / which671 > islefs^4 C th an5Q J
By the fame Reason,no T Qa 6
' 9° C 2-< l 4'
6 7HJ* 5'
100 J (
1
"2401
s aFourth "
C-fol-fa-ut
the fourth 1
180
a Fifth
E-la-mi
fifth
144,
a Sixth
G-foi-re-ut
6th
180
Half
2
0
C-sol-fa
Sth
12.2
a Third
L 3
f-g i
D-la-sol
yth >
0
90
a Fifth
O-
E Via
i.oth
S-
92
a Third
G-sol-re-ut
iath
§
60
a Fifth
B-fa-bi-mi
1 yth
.
- 9 °
1
L Half
1
. C-scl-fa
iöth j
£
n
H
B fa-bt-mi Flat,F -fa-utA -ia-mi- reB-fa-bi-mi Fiat.
IOI
And Consequently,
1 S'ote in theTable is alittle.
Flatter
Flat ter
then
’ B -fd-bi-miFlat,
}F-fd-Uty
j A- la-mvrc,fB-f/i bi-miFlat.
Which anfwers the Second Inquiry.
Now to apply this (in a few words ) to the Trumpet, where the Kotes areproduced only by the Different Force of the Brcatb ; itis reafbnable to ima-gine that the strengest Blast Reifes the Sound by breaking the Air within theTube into the (hortest Vibratioris, but that nO Musical Sound will ari'e un-Jeff they are sutcd to söme Aliquot part, and 16 by Redupiication cxactlymea-sure out the whole Length of the Instrument , as in Fig. 119. for otherwifc aRemainder will cause the lume Inconvenience in this Cafe, as in Fig. 130.To which if we Add that a Pipc, being fhortned according to the Proporti-ons we even now diseourßd of in a String, Reifes the Sound in the fame De-grees, it renders the Cafe of the Trums ct just the fame with the Monochord.
For a Corollary to this Difcourfe, we may observe that the DistanceS of theT rumpet Notes, Afcending continually dccreasedin pröportion of r> 4 ,in infinitum, for, ' '
Vol. l.
11 u u u
The