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M u s
l,.ing a concord id itrQlf. Iu note di(co,dant with the
bar, i, th. 2d.
Jt h..h beeo (aid , that all harrnooy is divided he,weeo
,he flaJ and (harp k eys. .
The mixture ofdtfcord and harmony eDables u. 'o ex·
,,,nd the like obrerv"ion in ,his place much furlber.
H ence the foUo...ing coroUary .
The compofition of aU mufick , of any Dumber of-parts
whatever, is divided between lhe harmony of the fiatand
Olarp key., and the jun Illixoure of di(cord with it .
1 '0 ¡Ilunrate (heCe truths. we fh ~1I fet in one view e–
very concord and difcord, in the whole compafs of mulick,
iR thd r natural order. No.8 2.
Hence we (hall derive (ome ufeful corollaries, which
\ViII us to difcover what is next tO .be c:onfidered,
the fecond property of t he di(cords, or Iheir refolution.
iotO tbe concOIds.
T he m.noer Gf reading this is as follow. :
This co nco rd is tbe concord ofthe key.
T hi. concord is'the coocord of lhe ,d 'o ,he key, -or
¡ iven note.
This coocord is lbe concord of lhe Ba, 71h.
T his dlfcord is inharmooic, and fo forth: defcending
ndl from the uppermoll liDes of hármony, or difcord, tO
,he 10\Vellline. or baf•.
In tbis .view 15 feen the mixture of difcord wif'h har·
mony, eac.h in (he n;n ural order. Whereio, indeed; AO–
,"iog regular or proportioned appears ' o 6ght. The réa–
foo of th is is evident from (he demonrlration of the hí\r–
manical propartions: For,' if (hey be: of a fpecies difFerent
from all other pro?ortion., as by corollary ,~d of the
,heory, and mull b. demonllraled 00 priocip.1es peculiar
t o them ; lhen the fuccellion of the di rcord" conCl.nuy
tJking place between Ihe iotervals- of harmony, mufl be
dlfproponioDcd too. This appears to I1ght ¡n'the next ex·
ample, or view of hatmooy aod diCcord in t-be natural Dr·
.der. No. 8,.
However irregular this may feem, 3n uniformity pre·
vails through the whole, which rupports that 't'ariety in
mufick fa ddirable : Wathout which variety, tbere cO;Jld
have beeo b UI oae concord among founas -; a fameners
Trevailing through the whole; without remilone, ¡nd
conrequendy withouI dircord. In Ibis care, muúck never
could have exillcd as .0 qbjeél of plea(ure to the (eofe ;
much 1.(, of fcience.
T his admirable Ilruél:ure is rai(ed 00 Ihe power and
property of lhe femi tooe, which (hall be ,he (u bjeél of lbe
folJowing eorollaries.
COIt. 1. E'f'ery femilone in lhe o~hve hath either a
concord or difcord propor .oa peculiar ' o Yel.lhe
natural fuece/lion of the concord5 aod difcord5 i5 nOI ac·
cording tO lhe afcending and def'C('Dding femi[one~. Foti,
ir 15 evident) in lhe aonexed table, that the correfponding
bars notes co.Clantly defceod by 3ds, the ..riely, al lhe
fdme time, (hioing throughout the h~rmony and difcord in
, be upper parts, arcend:ng by (emi,ones. Yet the bar, ex·
prelres every remi,ooe io its by 3ds, uniformly 'o
i15 period o
Thi. moll Cl rongly illuClra,e, lhe Iruth of lbe 4th axiom
<lf tl!.e theory; naalely, u... the coocords and difcords,
e . J(, 331
either in thei; natunl arder, or arranged 1>yah. wiIl not .
{ufft r us to d.p'r! from lbe éfiJbhlhed precept_of • ..,iet,.
amidll Uoniformi ty. ;
The (ame uoiformi,y, or ratber unit y. i. exhib',"d Cl ill
more plainly io lbe 5'h di(cord, in lhe co:ncinence of dtr–
cord aod h. rmooy io ,be fame individual (uunc..
For ,hi. direord, which is Ihe dl(cord of the yth, is al(o
,he harmony of ,he 5,h.
Thi, is Iruly admirable, and furo i(hes us ..i,h the moll
interelling remark in the coolpaf$ of ruulick, as iD [he folt–
Jowiog corol!.ry.
Co • . 11. The rcope of mufick, and mo,ion of ,h.
pares , muR at leogth terrnidate. aDd mee't in onl! iC'f'áriable
thing H A RMONY .
T hus are we arrived at the full ex~ent. or bounds oE
rnulick. lt it is fi t we now reluro 'tO make fuch funher
obrer. alions as· will lead us to the knowledge of tbe re–
(olutioos of the dircord., which is the neXl thiog 'o be
(poken 'o.
The divifion of dilcords int~ proper' Ind inharmoDic r
we hue made for the fake of elearoeC••nd method. The
diffe rence already pointed out b elween lhe dircord, muft
be remembered ; which is, ' tha, ,he propeny 01the in–
harmonic, . or Bat 7th. (which. note do!!! e...er, with 101>
ther oote of ,he chord, f~ame the (h.,p 4th, or Bat 5'h) i.
t~e (ame, iD" whatever place or form It " met wita ; wpere:-..
as .t-he ~roper di(cord, elreotially d,ff~r from ·eaeh other,
-and in every particular.
The three inharmooíc'tbererore, in the natural order
of the di(cords, are nOl (o properly three, as the (ame di¡¡'
cord in difF-crent Jight ; where it i5 a preparation for a
elofe on the key, aod 00 the 4th aod 5,h ' o lhe key-. -
The llaf, 10 (cord, mov•• by 3ds derceodiog in"
fharp key.
The notes of the b.r., correrponding 'o lhe proponion.
of lhe fiat key, have no rdalion to tbe dircords in Ihe line
n.(:xt aboye ; bUI are the bars lO lbe. concords in lhe Bar
key 1'0 as demonCtrated in lhe rules- of harmony.
The t wO difcords, which are a, repetition·of (he firll.•od
.fecood, are fel dowa in compliance witb'lhe 2d axiom, to
pudu: lhe n:iUuraJ "erd:r. And hence1thcy ferve todemon ..
(trate there CdO be no other difcord tban thole exemp'li ..
fied io rhe fch eme . For lhefe i5 no femKone in lhe oéblve
which dorh DOl appear [he re' too its dircord or har–
mony connell-ed with ir.
lo this. fcheme tht'D¡s comprifed e.,ery ¡nlerval of m~
6ck, .,ith the memben . of eaeh -chord reCpeétil'e1y, bóu..
difcord and harmony, in tbe n!lural order ..
From..,be fame order, we (hall demonara<e the palrage
of lhe diJcorcl5, ioto lhe c:oucords Dr· refolucion5 of the
(ame.
In the~ theory, it hath beea (¡id, that the femitoac ¡s
the principie. or .hinge, 00 which turos the re(oIulioo oí
every.dtCcord_
00 this princ;ple, ,beo, we fhall DOW demonllrate the
{ame.
The di(cords Cland io ,he ná'ural order belweeo the
concord5 j but every OOle of [he chord i5 Dot equally DCle
re(p.aively.
F rom lhe idea of barmoDY, which i. filoefs or pr0p""–
liuo; .