1000000031

1'",1

r.:c::\t:::r and

Idr.:r

ton:,;

ror,

~- \~-?r~

{~.

ilS

lowcfl

tcrlllS,

th~ grc~tc:r

3d.

.-\n.d

lhe

proronian .of che flat 3d is

,c~mp~~~d:~ ~r t~\e

r,reata tone

Qlld

fenmone;

lor.

1.0

('j

119

}"wdl

ft:rms

lile prlJportioo of lhe

JI.tt

3d.

'fhe proponion of

,he 1,h

is that of ,he nlarp 3d and

flm¡tonC; for, {.

~ 1=~~-

in its

lowell

terms

lhe:

propor–

tion "}

rhe 4th. Or

;h:ol1rO!~rl:~n~ o~

Ihe flat

3d and

Idrer

tone;

fOf, T

¡¡

lowcH

\ !'Ims

T he

proponion of ,he difeord of ,he nlarp 4,h is found

hy cOl1lpounding

conHnucllt

intervals,

(he 4th

and

r,miIIJílC:; fOf

i- -}

}=~

-f

lhe proponion of

th~

fharp

-'4

tl1 .

And 1.t1ly, the propoll ion of ,be na, 7,h is com)lound–

ed uf

(\.1:0

4ths. or is

'7Jd ;

for, .;.

~= '-:

lhe proponian

of ,he n.n 7,h.

"[,hefe prt\portions, in th:: natural arder of (he lid\: feries,

or fh arp k<y,

lIar.d

,h us :

oJ Sharp 3d 4,h 5,h Sharp 6,h SI",p 7,h 8:h

-t -{

.Ji

'1=;-

In the fc:¡;ond f..:rics. or flat key. thU5 :

od Fla, 3d 4,h 5'h Fla! 6,h FI.. 7,h 8th

~ ~.

-t -}

'-00

1lcoce \Ve Ciln denlonltratc (what before was takcn for

gr.\n,ed) ,he places of ,he gre..

and lell'er ,ones, .nd

femitone.

Nuw. lhe reluivc proportion or difTen:nce is found by

dirifion c f the two next proportions in (he natural oroer

as abo\"e.

T he places or ,he gre"er .od leífec 'ones and femiton«

iD the nl "p key.

lhe greater tone, or

, d,

.~) ~ (;.~

in it5 loweCl terms

,¡

the

ldrc::r

tone, or

(lwp

3J .

(~}

lhe femitone. or 4th .

i) -}

the greatcr tone,

ph.

{.)

('; ,he Icífer tone, or Ih ...p 6,h .

i-)

(~ ~

or { lhe grealer tone, ur fharp 7th .

\,.;t)

(';'1-

lhe

r~mltone.

or 8th.

rl'he

pl:iIl;e~

of the:: greale::r and lefrer tone9 and (emitones

iD tI,e

n~,

kcy.

J) {({

,h : r.roa tertone, orzd.

{-i i=-} 1-

the femilOne, or flat 3d.

{.) f ({

\ro Ihe ldTer tone, or 4th.

·1

rhe gre:aler tone, or ph.

-; ) : (rf·

the femitone,

Of fl.H

6th.

-~.)

'..,f

(~~= ·t

the

lefrt"r lone, Or

nat

7th.

' 0

)

~ {~ !=-t

lhe greatcr tone, or 8 th.

. :1:he ure

(,t

{1I;s theory. is clucUy

arcount of afcer.

ulOInC dlc pJaccs of Ihe Jemitúne; the difTcrellcc of Ihe

n~íl.jor

and millor tOnes, whi ch is as

{J I

ha,ing nOl bccn

Imherto

rl.!duc~\.llo

pr ....étice.

We Hu i) thcldore hl.!ft:.,rll.!r ilumi t no other dlfiintl'o

thlo tha l of \\hol : and

h.df

t""l's.

" he

:nl~1

\': h

{hen l:or:.t ..inu l in the

O~11V¡; .

in hoth

k cys .

C'>.c!u·j¡

r.Jj

tI!..:

fidlll.:rm,

\'Il:1

11.: múr:.:

e,ttilj

dd.:ri .

l"t:J

1 1,u~

11 .: -- ,d is

on~

tonc.

Fl:tl 3d a tvll!:

~ltd

a luJf.

Sharp

3c!

\VO tOIJC.S.

4111

t\Vo

tones and a

h"lf.

Sharp 4th ,hree tones.

5th three tone! and

half.

El... 6,h four tooe•.

Sh.rl

' 6,h four tone. an:l. halL

Flat 7th live tones.

~hlCp

7,h I;vc toocs .nd a h.l(

8th

tix

tones.

Ha.ving fOllnd

all

Ihe intervals, their orcer 2nd propor–

lions:; it wiIl be nt'cdrary

",ke in one view the fcmilOnes

of thl! otbnoe , m.f ked by their ddraeot nameS and ínter–

vals. FlJr every (emitone hath t\Vo names in refpeét

[he prcl.!tdlng and following note

the natural order.

in the fullowing cX3mplt:.

The.

knowledge of this is

mo(} necdrary

learning lhe art of compofitioD. N° 7.

'The:

dlfcoltls bcing. as h,uh beco flle\\ n, lhe lefTer

1d.

or (emiwnc, and greater 2d, the fha rp 4th or f.:J(e 5 th,

the Jcffer and greatcr 7lhs, it is lO be llnderHaod, (hu

cot any

(WO

tbre~

of (hefe are to be:: fOllnded togethc:r.

fume (be dlfcord; u

th~n\.cmbers

of acy concord are,

to mdke ,he harmoQy: but (ach di(cordant note hath

its

d"·

cordant and concordant notes proper to ¡trelf, whích fill

,he di(eord ; anJ which ace called the accompani–

ments .

The hve difcord., ,hen, being dillina and unlikc eaeh

lher ; the definition of dircord mufl be this:

Difcord confiH! in ceruin variable proponions of tbe

diO.nee of founds, pecformed at ,he fame infl.n, or lime,

aod d,f. gcceable 'o the ear_

CHAP. 11. O, THE SCALE

MUSICK.

HAV'N G

found lhat ,he I"ger combio. ,ionsarthe

femitones in the oéh"e conUitute (he concords and difcord5j

for ,he beller .pplication of ,hem tO ou r purpofe, wc fh.1I

next confider ,hem fingly and d,Oioaly.

Diaparon

Ollave

8th .

S<mirli' pafon _

D efeaive 8, h, or

grc.tcr fharp 71h_

Sept. majol'

Sept. minor

leífer

6..

7,h,

H exClchordon majar

grealc:r

nlarp

6th.

] lelo:.achordan IllIO(Jr

lctlcr

tI..

6th.

D iapente

5,h-

S emidiapente, or -

(harp 4th,

Tri,ooc

falfe 5,h -

Diatdfaron

4th,

D itone

greatcr, or fh:lI'p 3d.

ScmidilOne

It'trc:r,

or tlJt

3d.

l~on e

grc;ucr -

2d,

ScmilOnt

Jdrc.T -

2d.

Unifon

one rounJ .

As lht'y Cllccced cach other in lhe

natllr~1

ol\lcr of bOlh

keys.•, abov" deruunltr.¡ed

,his is c.,II.d ,he

(e.lc

Olufi..::k.

I n thi!> fe .. l!! we

nlall

likl.!wifc= takc a "ir", or

111:

con–

COllts

uf lhe f:ullC: daw mination, as th", y

fll~'

ti.l~ccJlion

rrllr.l (he r..me: n HUld l ordc:r of lile lim'll!! tO:I::'S, :lOd

.lila

úf

lile

dif,,::o,ds as

01 1 015

lhe)' occu r.

l~hcl c

alt:

n vo

f..

'ales in ufe: lhe diatonic

(¡,;-,t!(' ,

:'InJ

Ih e; ch,un'dt ic.

, 111

th.: Ji.llunic

[":011\.',

the

notes

.\1

iCe by

( \\0

tones,

f..::mitvnc,