352 / 868
l\ I
1)
s
Co .. . Ir. JL ¡:ncH.i... ,d
I'f('I1t'),ti(ln
is
(,f "
(p::ci::s
cl;!Tc–
rcnt
f.omell 0111\
r prupo/t·o¡.s,
~n.1
can lu:
den,nntlra–
u d
ody
frpl1l
rn:h
Ipk!'
rl~1
U:I....
to
¡ ~(dr.
'Tlns ",il:
be:
f~l:n
whe n \\....
~omt: ~u
fh..:\V
ti!!;
f1:::t:lod
of
div:Jin~
J
line
h;:'lmoni.
al!y ;
as
\\\·¡I
OlS
fr on.
lh~
r roport ion fl jucd in
r.umhl:rs .
T b.! lidl
of
the
nOle<;
i:l
thc oamplcs
~uove
is ca lled
the
kcy·('ote. or
key.
Nllt·.vithC!:tndlog
lhr
ir:tc:rvals
In? y
Le:
r:- ,"J...on~d
from ...
ny B:'!cn
nOh!; yec
t(
\Viii ,1Ofwe:r our
rU lr~)r(.
bctlc:r
lO
bC1!iOl
Wllh
the
kt')'.
1
n dle
(id~
cxa mple:,
T he fi rCl iotel val, or J tCl .tllce bet\1.'ccn the i..ey and
r ....
cond,
cúnt:\ins
:!
B:tween tl.e:
:::J
:\nd ; d
3d
ilnd 41h
4 1h and 5,h
S, mitones.
5,h and 6, h
6 ,h ,nd í ,h
7,h
,nd
8,h
r
n ,he fecond ex. mple,
T he
ErC}
¡nterva
l ,
cr di{bnce: belwe:en the
key
and
fe–
cond, conlains
2
remilor:es.
Hetwcc:'l the 2d 2nd 3d
3d
and
~ ,h
4,h ..nd 5,h
2
Semiton".
5,h ano
6'1.
6,h and 7,h
7,h
,nd
8,h
2
F rom thís compuifon of the
t \Vo
feries, it is cvident
there is bUl one ddference, ilnd lhis arifi Ag from the: or–
der of the notes, or place of the remitonc, For if
you
begin
to
read the (ccond feries at the interv<!1b( twecn the
3d and 4,h , , he femi,ones will be found ex aélly in ,he
fame order as in ,he fi r(l example.
In the fir(l example, , he fi dl femitone falls on ,he
~ th
note, or thu which
is
nex t aboye the: 3d
te
lhe
kt:y ;
which 3d is 5 half tone, aboYe the key inclufive1y. I n
Ihe 2d examp!e, ,he hal f·tone folls on ,he 3d note ; and
i, ,herefore i,(elf ,he ,hi rd to the kcy, and i, fou r hal(.
ton~s
aboye the
kcy
inclufivt!l r.
TI,is diCllnl lion of the place of lhe (ernicone is mo(l
worthy of obfcrvation.
il
being lhe only d rcnlial diffe–
rence of tune, lhe ground·work of a11 that ueilutiful va–
riel y which may be introduccd in lhe air or melody, as
wd l as it is lhc principIe or hinge on whict.
tUI
r!s lhe
ré'rolution of evt ry d¡(cord . T hc key.note of c\'(fY tune.
is
lh.u
whereon
lile
tune e:nds; whlch
lhuu~h
it
Olay
be
allerc:d for varic::ty in lhe uppcr
pHt,
yt t
lhe l.t(l note
of the: bil(S is c\'er lhe: key.
' Vhen Ihe 3d lO
(he
key
is 5
ft'mi tones
ID
d ,e
key,
as
in the fi dt
exa01pl~,
Ihat lUne is fJiJ
In
be
conlp'lfcd in
a
fh ..
rp kt y. ' ''hen
lhe
30
10
lhe key is
'1
(eltlitOnls
10
lhe kcy, as ;n the: fecond example, lh".! IU'C is in a na. key.
I\no
(hís,
2$
\I::\~
raid hcr. re, is Ihe only
clífTcrcnt::.!
in tunt.
T his diH:!I(tioo of
fl
\t
and fh arp llilld holJs gocd,
n Ol
orll y in rcl ,l:cJO to
lhe
k\:y . Llll
l :k('v/i ~c
to cvtry nc,te
in the f,.>\I'! ,,( mufi.;k. Am.I in this I:gh t
il
is lIJe (oun·
¿;,tion
(Jf
com;)f.¡fin g ia
c!dí...
r,
nt
ktj'::;
úf
(h.ln~i'lg
Ihe
, t
r
in til o: f:lflc
lune
wil i,·j,
11" ••
dJc: s the ro rnud t Ol'–
fj ¡c:d
n ri(:¡
In
lllu
1
i_k :
::.lJ
of
·I. : n:r.¡;
: ~I :
f::'J1lc tunt,;
10
\'O L .
1IJ.
~; " .
So.
e
K.
3 1))
d:..crs l cys, ul,i, h
j::;
nll..!u tr:Ulrpo(¡,ion. I1c:'lcc we
l.fLthliOl
lit: fo!lowiog·axioms.
A X 10 '"
JII.
1\s
,b"
ddf" enee of ,he
fl.,
and Iharp
th:ld tO t!le key C'Vnn uut s lhe kcy, and
IS
CITl'ntlód
(1)
t i}.;
dillC:
(o no tune t:umpn(ttl
10
a
fh ..
rp key
C<l.O
b.:
Cnlll j''l¡'",U
into
a
Oat onc, nol'
a
A,jl iolO a
OlOlf ?
j
foc
lhó{ would be
aherin~
lhe
perlllancnt nalu r!! of tllin1;s,
' I'hr truth cf lhis :\xiom \ViII moCl c\'ldcntly arpear,
when \.,¡e lb"l, in the: fct:ond pan, ur pratlice, have Icarn–
ed
¡he
art
of tranl'p" r.lIon.
A XI O fl!
I V T }¡.
.! grc~,anJ conndnlobjt!~lwhich
mu(l be
rOl'&hl ara r in mu(i<:k,
whttll~r
in compofi lion, or pcrfor.
manee of lhorough bars . is variety with uniforlllity. l'or the
propon ions alreaey bid down, and the prodigious "3l1ety
emer,ging froln lhem, as thc:y lie in the order of n.lUrc,
be fo re
lhey
are mod;fi ed, divldcd or combined by
:\rt ,
do not only point
OUt
this
Vj'lr!~t yl o
US; but lhe concords
and
dir~ords
Ilkewife: madc OUt uf lllere,
am!
arrangl'd
by
art, wilInot only nCl fuR:cr us to rec{:(le fr omthe eHablj{h–
ed precepl, but
by
a
kind of fwcct \'íolc:nce: confl: raln
us
tO pur(ue this darling ohj eél.
.
O n lhe truth of ¡his axiom i6 grounded the rearon (or
the mixlure of dlrcord wlth harmonv, and
[he
occdr.onof this preccpt in
phying
thorIH,g,I! '
b~rs,
namely,
that
lhe hancis (hould as much as poffi ble move in a
con~1
",y
di rea ion.
As 'o the place o( Ihe olhcr 'femiton!, whieh in the
flH
key i, on ,he 6,h , the reafon
01311
be told in i..
proper pl.1ce. And morcovcr, ir mufl be obfcnred, lll at
lhe
grcdter 7th in rhe
nl~ rp
ke}r, which cauCes lhe (econd
(e:m itone
10
fa ll
on rhe 8th in tha!.
k~y.
is
~lfo
comman
lO the
{lat
key
in
many
pa(f:tgcs, blH
unex~eptiona!Jly
i'lt
lhe: cnd of lhe lune,
or
clofe.
S eél' ;l .
O[ th,
CONCORD S
Qnd
D IS CORO'.
Or
lhe inl
ern.JslIandi ng in Ihei r nalu ral order are
compoundl d the grealcr in ten 'als, oamcly, the cODcords
and dil'eords .
Thefe are ,he DeXt things tO be
con~dered.
N ow, tO
invdligtte lhe: order of thefe, and thei r proportions
lO
each other, wc muH h;lve recou rfe to the oricinal cauCe
of ((JUIlJ; til:.It
¡S,
to
the
tremulous mOlíon of lhe air,
exci(l!u by lhe percu,lion of Come (ulid
bod y,
as
3
bd J,
fi ring,
or pipe.
T his trl'mbling of the air is in proportíon quick or
(lO\V
as
Ihe
impreffion g; ven it by the \'oice or
an
inOrUillCnt.
T he
quicker the lrenluling
¡s,
rhe more ¡:¡CUle tlt.: (ound;
the
(lo'.t.'er, the more gr.\\'c or
ft.r.
The f",me found
is
lhe Cff'':lC'}
of
thc:
(anle Jegrce of quickne(s
oC
lhe ai r',
l1Iolion con linucd. Hence:
a
(lrin~
founJing thl! fame.
note tOlhe
\. l1rt
of it, vibration. proves, Ih.u the vibrations
ílre
in cq t1:
I tllue3, from thl.! f,run efl lo the
l~afi r~1:lges
of
Il!' 010l io n .
'r hc
f'!1 lJrter a OIufical ll ri nr. is, tbe quicker are iu
\ i–
br.uir,lIs. and Ihl'n:Curc the more .icute the (ound .
T he lcng::r a I:rirg is, tllt: more {]uw are ils
vibratiuflS,
:1nJ fo lhe Olor.!
gr
i\' t:'
the {ound.
T h:
ll.rc¡rc,
(,0m
the d¡, ¡{jon of
~
mufi(rtl fl ,irg. Ihe
proporllcns of A.: u¡.:r.t: ls ,Ir g.;l\'lI y .re
C(¡lI1pl1t~J.
l1ellcc
v.
e raife: lhc
fvl!o\\'1I1
6
:1
<¡oIm.
.'\XI U M
V . T h\!
qllll'kne f~
of
th ~
V:b¡a. l:c.;r,S is
reci o
1 L
t
1" lIe.: