381 / 868
34n
M
U
1)
iJ.its. as prcfixcd
in
t:,,e'
eX;\ITI?k',
do
more
mClhodlc311y
follow
ti\';
rCnh)\' lni~
lit..:
grl.!..tcr 7th
by
a fl:u.
1'he d..:
manllr.ui()o is
lqually cen,,;n
~ nd.
c1e:u
iD
bIJth
m.mncrs. L et
it
be r(':n:.:mbcrcd, th.\[ in lranfpuGng,
by
altcring lhe
grl"lt~r
71!I, ¡he
key
is r-:movcd 10 lhe
~th
aho\·c.
L et as proc;!.!.i
tl"\
trJn (I'0~ti..,n
in
;¡
11
\t
key: lhe ge–
ner;;!
rul~
uf \\'h,eh is lhe r 'me H fo r lhe
(ll1rp.
lO
rClIlovc
.lhcfcmiwncs, anJ t!H:rl'by preferve the
proportlon
of
die
kcy.
:r hc diffcr:::1t
pi
Ices
of lhe femitonc wiJl cauf!! (ome
ifari:llion in Ihe
di {l.
or
intcrval
Clf
tranr'po(i tiull.
L Cl
it
be
rcqui rt· ~ .
,lc.;urJing
to
ou:'" method,
lO'
tranCo
por:
ou t of
l he:
0l'cn or
natu r;¡lIy
R.H
key A,
ioto
that
whi..:h
is ncxc
by
natu ral fucceffion .
T he firHremironc in lhe
k~yor
A is:the 3d, or
e;
which,
by
the additioo of a OlUp, becomes the greatcr 7th:
wllercforc,
the nt!\V key. or th at into
which the tune
will be ".n[po[ed. is D. No.
104.
For.
L et
it
be remarked, that the grc:ater 7th
which de–
termtnes
{he n:w
kcy
in
this
a; wdl as
in
th~
Ol-trp
key,
is Dc:ver
prefixed
tO
,he
tun'! ;
which
(O
lhe
!ltarr
key :tI–
ways ¡s.
The rearOD
¡s, th :u the fht
7th is lhe
propcrt)' of
the
fiat key. "f o prdix therc:fore,a fllup tO the plac," ortllls
Bote on lhe llave, or
beg;nlling
of the tune, would be a
conOant contradiélion tO all the n.u 7d1! that mayacco r
throughout the whole
airo
Bm
Ihe
Ourp 7lh, when
brought in at a cloCe, Oliddle or
final,
or elfcwhere where
there
is
no
clofe,
is markcd pHticularJy as occa(jon re·
quires .
Ano,her rea[on for no' prefixing • (h"p on ,he llave
1'0
the place o( the 7th of a Aat key is, thJt, in foml!
keys,
rhe 6th
muO have
its
llat fet on the nave.
or
becinning
of
lhe writing! a {hup,
then,
on the
place of the 7rh would
oprear a conlraJiétlon
t O
úght,
and oun1n therefore
(O
be ••oided.
The remo. al by tr.n[pofi,ion in ,he
Aa<
key heing
.1-
ways
to
the
4th
aboye
:1$
in lhe
I..ít
exao! t-'Ie, there
needs no other
ex~mple
at
Jength of tranfpofilion
in
this
key,
the Colme
pro ponion
outaining
l hroughout evcry
key
wi,h a
na<
3d re[pec'lively.
According.
1hen,
to
this proponion, lhe ncxt key afler
D
\ViII be
G;
,te 3d of
,he
forme'. or
F
na,ural. he–
cc:ning F (harp ,he grca,er 7,h, E Aa, its 6,h.
The
next
""¡JI
be
C. Its
grea1er 7th is B
natural,
with lhe
addi,jon
of :\ fLlt
to A
i\s 6th.
The oex, \ViII be F. \Vi,h ,he .ddi,ioo of.
Al<
'o
D
its
6,h .
T he nex' won ld he
B
flato
wi,:, ,he .dJilion of a na,
l O
G
ii.s
6th,
nC\'cr
uCcd.
T te nex, wonld ue
E
Oat. wi,h ¡he addi,ion o[ COa,
¡es
6th,
nc'\'er ur..:d.
The nex , woulJ be A
¡¡,H.
\Vi,h ,he aJdi,ion of a Oa,
to F its 6 :h, oc,'cr ufcd.
The
next would be
O It.u, wilh
the a¿dition of
(\\'0
l1.11S 10
H.
ncvcr
ufcJ .
T h'! next wonld be F Ollrp. <'its 6th O, nevcr
UfLJ .
1 'he
nexI
is
n.
iu
grc:\ter 7th A fharp .
Thc next
jo;
E, from whence
wc:
a!"ccnd
by
i1
4 h ioto
Ibe
fi rll kcy
A.
e
K .
H c!nrc
il
i!>
r1ain
thcrc..
¡¡re fl' \'cr.
n.u
k ~y'i
;:1
:.lfe , out
of th : lwelvc remitonts in the
o{l.;\·c.
or
wh;eh the rnl–
lowing
:1re
examples,
with
chc::ir
(JI
opcr ligos prc:fixed.
No
10 1.
I t
may
be
ohfc:rvr,i, t.l .Jt
:)1'
L lOging
rhe
pldce of
¡he:
otht. r
(C:ll1ii(,tI'~
or
61 '1 ,
''''y
.uldlLlJ; "
fh ,;rr, the
tranrp'l~t;oa
is
by
two
d~g, ec..~.
lit
dll':
fu
l'
'11:':" ,H
on e : as frull) A
in:',
G,
3nJ (o un, Bllt dll :
is
no m')r::
1I1.1t what hall,
becl\
done
io Ihe fccood
H<!p
or
thi~
ex:t nple; yet by
puning
this
(h,lrp
10
the
{)th,
j[
is
¿
fhon
\Vdy
of t(¿nrpo(iogint<J
the
whúlc;
t
l.on~
hciuw.
l t appcdrS f,onl hC!n\'e
t
thin
t!Jere :!.Teio
.dl
(jx{c(:n
key,s
in
lICC
j
a funct
(or
~ ;ea{
vaflcty:
aOlong wlllch
you
wdl
ohrenoe . th.H
(UOl~
fh.rpkeys have tJ<lts prefixcd. aoo
fome
Il .t ke}"s
hAve n\arps;
whi~clnnot
by
11115
tim!
appcar
Hr:io¡!c
to one
\\'ho
r ;;rccives the neceflity of pre–
(CI
ving
lhe proporuon,of
each, 3nd
whe
mufi
now un·
d~rn.lnJ
the
trlllh of
Ihe 3d
:uciom
or
the pr:tél ice, That
no tune eompoCeJ
in
a lh arp key
can
be tranCpoCed
into
a l1.u one, nor a
f1at
one into .a lharp;
for
thCil would be
altning
the
p~r1l1ílnent
n"Wre of things.
From comparifon of
the
cxamrlc:s. \ViII
be feen wh.!t
is lltoH
wnrthy of
n:maiking; whi..:h
¡so
T oat
wh,Hevt:r
nllrp~
or
fi
t~S
belong
ID
any f1;tt
kcy,
the
r ..
m~
are likc:·
w;(c t1n:
prC'lpelty
of
lha~
lharp kcy.
whil..h
is
on
lhe (ame
tlat key's 3d: fQr inUdnee. A with '" llar
,d.
and
e
\Vi,h • Olarp
3d ;
[o
D
and
F. G
.nd
B ;
.nd [o of all
otht:rs
rt..
rpc,~i vd y
havlllg the
fd.mefigns beJonging lOaod
prefi xc:d
lO
cacho
H ence we coJlt!8-,
thar
lhe
errl!;1tial diffaence
of
tune
confi:¡s in
the.: form, that
is,
the poútion of the femitone,
and not in
the
matcrials of mufiek.
A truth wh ieh appeared
b~(ore
in the
comparifon of
difcurd
with har01ony; and wh:ch will be of gn:at ferv iee
h er~
..
fle r,
in the are
ur
learn:ng
t O
!ing
by
note.
This
¡nrerenee furnifh es us wlth a proof o( tile 4th of
a
fl"
key. and
6,h
of a (harp key.
h.ving for harmony
each
his own concurd.
A proor which
was wanling; as
it
could net be
ha¿
from
lht rules
01"
harmooy.
nei[her
of thefe
intervals
be,.
ing in the pl:tcc
oí
a
r~mitone.
T he grnera! theorem is
this:
As
by
axiom 20 the propon ion of one úngle (ound
is
lO
annther
.\ccording
te
the natural order of founds ;
fo Ihe
propon ion of one chord to another \ViII
be
aecor–
ding ro the n¡¡tur,d fuccel1ion of chorJs. F or a chord
i.
no
oth ::r
th:tn an
uni,y
of founds. Rut
it
¡ppears
lh~
..
the
fuccdlion
or
chords
by tranrpo(jtion
in
thé
flJ t
key.
ti
by 4ths.
th ..
t
is,
lhe chord of
a
note., wi th
a llJ.t 3d ; anti
that
01'
thc note's 4th
is
the (ame . No,l',
(he
harmony of
the
kcy
or
givén
note is (he concord of
it(elr: thl! re·
rore
Ihe
h.ul1lony
of
lhe
4th in a
fl.a
key is
lhe
concord
o[ i, (elf.
] 11
hke manner \ve demon(lrate tite
h;\rmony of
che
6lh
of
a
013rp key ' o he ,he chord oi ,he
[.lIne.
.
Ano in this
lhe
proor
lies
nearer [he.
lHllh
than
tn the
former
ca(<-' .
f'or the ehord o r proportion here is
FlOI
only ,he fJm c,
but lhe indillJu:11 fO:..l nds.
F ur as
by
eOlTlp\r¡ron. as lbove. of
ar¡y RJt
key wich
the key of
its 3d
(\\hi~h
nlufl
ever be a fh ..
Hp
key.
che
Hu a:-:J Ilurp ;Js :'l.Ing th:
I.:Vlllp'-'UIIJ
int.:r\'
Jls
of
lh:
j
th)
lb"