Mus 105 Handouts

8/12/2019 Mus 105 Handouts

1/91

!"#$% '()

"#$%& '()*#) +,($-./$

0123$4* 5 678589

*+,- !,./0 !1023 #4156 74468

:2*4)*); ?$(< -$(@)21*)$2? $% 2$*


2/91

!" $%&' ()%&*+! +,%+ -%& !.!+%/& )/0*1 $.-, +" +,* 2/!%(("/&+$*&+ "0 !-/*&-* 0/-+/"&

%.+,"3!45 6"3 /&!+%&-*1 /0 '". 7%&+ +" -"$8/&* -"&9.&-+ $*)"2/- $"+/"& 7/+, ,%3$"&/-

-"&!/!+*&-'1 /+ +.3&! ".+ '". &**2 +" .!* +,* %-".!+/-%))' -"&!"&%&+ -,"32! "0 +3%2/+/"&%)

:*!+*3& $.!/-; $%9"3 +3/%2!1 2"$/&%&+ !*!".&2/&? $.!/-!A+,* J,/22*& 3"%2!K +,*$4 O)+/$%+*)'1 /+P! &"+

*&".?, 9.!+ 8*/&? %8)* +" /$/+%+* % 8.&-, "0 2/00*3*&+ $.!/-%) (3"-*2.3*!1 )/=* % 3"8"+

*H*-.+/&? % !*3/*! "0 (3*>(3"?3%$$*2 2%&-* !+*(!4 @P2 %)!" )/=* '". +" .&2*3!+%&2 )*+

+,*!* (3%-+/-*! %3* +,* 7%' +,*' %3*4


3/91


4/91

"# $% &'%( )(%%$*'+ #( ,%+ -,.*+/% #( '&*+' )$#01+%2 3+/+ .$44'+ 5 $% 6$7+- #1+

-,.*+/ 89: #1+ 5!&*(7+ #1 $% 8;: #1+ < &*(7+ #1 $% 8=: &-4 %( >(/#12 ?( 6( >/(.)$#01 -,.*+/% #( )$#01 0'&%% -,.*+/% 4$7$4+ *@ ;= &-4 A++) (-'@ #1+ /+.&$-4+/2

C4 E4C3C2

36 48 60 64 7172 (number names)

(letter names)

59

B3

C5

B4

middle C

or Cf4 (NOT Cf3!)

"# $%&'() '(*+,-%./# B- !"#$%&'($% & .,%$0&' 4$%#&-0+2 "-#+/7&'% 0&- *+ -&.+4 /+'$7+

#( '+##+/ -&.+% &-4 /+'$7+ #( )$#01 -,.*+/%2 C,.+/$0&' )$#01 '&*+'% &/+ #1+ %$.)'+%#: *,#

#1+@ &/+ '+%% 0(..(-'@ ,%+4D #1+ $-#+/7&' *+#E++- .$44'+ 5 F5G: )$#01 -,.*+/ 89H &-4

#1+ < $..+4$+'@ &*(7+ $# F/+#% (- & 6,$#&/: (/ O

P->(/#,-+'@: #1+ .(%# 0(..(- E&@ #( #&'A &*(,# .,%$0&' 4$%#&-0+ F$-#+/7&'%H $%

& '+##+/Q*&%+4 %@%#+.2 2#%!-#(3 ,4$'5!"/6 #7!, ,3,#$0 !, .$8!"$. *"(3 8*% "*#'#$. 09,!-1

R+ 0&--(# $4+-#$>@ #1+ $-#+/7&' *+#E++- #E( -(#+% N,%# *@ '$%#+-$-62 3(E+7+/: #1+/+ &/+ &%+# (> 0(..(- 0(-7+-#$(-% >(/ -(#$-6 .,%$0 #1 #@)$0&''@ .&A+ $# )(%%$*'+ #( 6,+%% #1+

0(//+0# '+##+/Q-&.+ $-#+/7&': .+/+'@ *@ '$%#+-$-62

?1+ $-#+/7&' *+#E++- $-#+/7&' *+#E++- &-@ 5 F%,01 &% 5!G (/ 5"GH &-4 &-@ &- $-#+/7&' $% #1+

$-#+/7&' >(/.+4 *@ #/&-%)(%$-6 #1+ #() -(#+ 4(E- *@ (0#&7+ ,-#$' $# $% #1+ *(##(. -(#+2

W(/ $-%#&-0+: 5GQUG $% & .&N(/ #1$/4X #/&-%)(%$-6 #1+ U 4(E- &- (0#&7+: E+ 6+# $#%

$-7+/%$(-: UJQ5G: & .$-(/ %$Y#12 B- $-#+/7&' &-4 $#% /+6$%#/&' $-7+/%$(- &'E&@% .&A+ ,)

&- (0#&7+2 "-7+/%$(- #/&-%>(/.% .&N(/ $-#( .$-(/ &-4 )+/>+0# $-#( )+/>+0#D #1,% #1+ .$-(/

#1$/4 *+0(.+% #1+ .&N(/ %$Y#1 &-4 #1+ )+/>+0# >$>#1 *+0(.+% #1+ )+/>+0# >(,/#12


5/91

!"##"$ &'("

)*+#',-"

./$0('#*- )*+#',-" &'(" 122$"3*'#*0,

!" $%&'()*%$ +,!,!- .'&'*'$/%. 0*'$)* ."1 $%&'()*%$ +,!,- 0*'$)* +)2 3%24%5( 0*'$)*- 6"

1 +%787 ,!,-

!"#$%"

" $%&'()*% +,!,"- 908&%*(%. 0*'$)* :"1 $%&'()*%$ +,"!;!- .'&'*'$/%. $%5)*. .?

< +%787 ,!@-

*+#,)

B $%&'()*%$ +,!@"- 908&%*(%. (/'2. :?A $%&'()*%$ +,!C!- .'&'*'$/%. 4)02(/ .AB $%&'()*%$ +,!C- 3%24%5( 4)02(/ 6A

? +%787 ,!C-

-%!,*+

D $%&'()*%$ +,!C"- 908&%*(%. 4)02(/ +*,#*%"'- :AD $%&'()*%$ +,!E!- .'&'*'$/%. 4'4(/ +*,#*%"'- .BF $%&'()*%$ +,!E- 3%24%5( 4'4(/ 6B

A +%787 ,!E-

-#-*+

G $%&'()*%$ +,!E"- 908&%*(%. 4'4(/ :BF $%&'()*%$ +,"!:!- .'&'*'$/%. $'H(/ .DG $%&'()*%$ +,!:!- &'*)2 $'H(/ &DI $%&'()*%$ +,!:- &9=)2 $'H(/ >D

B +%787 ,!:-

$#.*+

"1 $%&'()*%$ +,!:"- 908&%*(%. $'H(/ :D

I $%&'()*%$ +,"!J!- .'&'*'$/%. $%K%*(/ .F"1 $%&'()*%$ +,!J!- &'*)2 $%K%*(/ &F"" $%&'()*%$ +,!J- &9=)2 $%K%*(/ >F

D +%787 ,!J-$'/'"*+

"< $%&'()*%$ +,!J"- 908&%*(%. $%K%*(/ :F"" $%&'()*%$ +,!,!- .'&'*'$/%. )5(9K% .G"< $%&'()*%$ +,!,- )5(9K% +)2 3%24%5( )5(9K%- 6G

F +%787 ,!,L

9* )5(9K%

9M)K%- %(*0/' "? $%&'()*%$ +,!,"- 908&%*(%. )5(9K% :G

144*#*0,'5 675"+

"7 9* '*(%2K9N )*% 5/2)&9('5 $%&'()*% $&9NN%2 (/9* 9 .'&'*'$/%. '*(%2K9N '$O.)0MNP .'&'*'$/%.QR 9* '*(%2K9N )*% $%&'()*% N928%2 (/9* (/9( '$ O(2'3NP .'&'*'$/%.LQ %(57


6/91

!" $%&'( )*+," "#$ % '($ )*$ (&+$ (,()$+ )- ./$#).0, 1*,)*+(2 3-1 .#()%$4 5$ %

6&7$6 )*$ 7$&)( .# & 8.$%$ '(.#9 #'+7$1(4 / 5$ % '($ & %.1%6$ )- 1$81$($#) )*$ 7$&)( .#

& 1$8$&).#9 +$&('1$2

82

J J J J0 3 6 10 12 15 18 22

or: 0 3 6 10 0 3 6 10

0 2 4 5 7 9 11 0 2 4 5 7 9 11

:0 ,-' /- )*.(4 ,-' /.(%-;$1 (-+$ .#)$1$().#9 )*.#9(2 3-1 .#()%$4 )*$ +&?>@>

A>B>C>DD .# #'+$1.%&6 8.)%*>%6&(( #-)&).-#4 .( & ;$1, %-++-# 1*,)*+ .# E01.%&F GH*, .(

)*.(IJ K'(.%&66,4 )*.( +$( )*&) 5$ % )1(6&)$ ;&1.-'( %-+8-(.).-#&6 ./$&( 7$)5$$#

)*$ 8.)%* /-+&.# / )*$ 1*,)*+.% /-+&.#L0-1 $M&+86$4 %-+8-($1( 6.N$ O)$;$ P$.%* '($

&6-9'$( )- )1&/.).-#&6 +-/'6&).-#F


7/91

!"#$% '()"#$%& '()*#) +,($-./$

0123$4* 5 67898:

%*+,-./ 0*+,-12345./ 67- %+8725,4+972': %*+,-: ;#3)21#, * 1= ?@ (1A$# ->$#3B #1* 1 -$DD< 2$*


8/91

!"" $%&'( )*'(+, %(- (-"%.-+ /0 ('.%.1'23.(%2,4',1.1'25 %"" $12'( )*'(+, %(- (-"%.-+ /0

('.%.1'23.(%2,4',1.1'25 %"" +'$12%2. ,-6-2.*, %(- (-"%.-+ /0 ('.%.1'23.(%2,4',1.1'25 -.)7

8- )%2 ,%0 .*%. .9' )*'(+, /-"'2: .' .*- ,%$- !"#$% '()*1; .*-0 %(- ('.%.1'2%""0 (-"%.-+7

"# $%&'()*+%,'(# 2 '.*-( 9'(+,C

0'= 9%2. .' ;12+ % 4%1( '; )*'(+, .*%. %(- (-"%.-+ 12 .9' 9%0,I ;1(,.C /0 ('.%.1'2 '2 .*-

41.)* )"%,, )1()"- A,' .*%. .*-0 ,'=2+ ,1$1"%(FC %2+ ,-)'2+ /0 % ,*'(.J+1,.%2)- $%4412:

.*%. $'6-, .*- 2'.-, '; .*- ;1(,. )*'(+ .' .*',- '; .*- ,-)'2+KL'9 1, .*1, 4',,1/"-K G*- %2,9-( 1, .*%. .*1, 9'(@, /-,. 1; 9- *%6- % )*'(+ .*%.

+161+-, .*- ').%6- 2-%("0 -6-2"07 G*1, $-%2, .*%. .*- 2'.-, '; .*- ;1(,. )*'(+ 2-6-( *%6-

.' $'6- ;%( .' :-. .' .*- ,-)'2+7

C Cs/Df

DD

s/Ef

E

F

Fs/GfGGs

/Af

A

As

/Bf B


9/91

!"#$% '()

"#$%& '()*#) +,($-./$

0123$4* 5 67898:

*+,-. !/,-.+0 1.2/,3-.,

'4 #2/56& ;$423 -$2


10/91

!" $%& '()*)+, '- .'+,'+/+.& /+0 0),,'+/+.&""#$%&'( )*+$,-. -/)* &- 0#$1#)% 1'1%*- &(,

2&3+$ %$'&,-. -+/(, -%&45# &(, $#-%1/5. +$ !"#$"#%#&. 6*'5# +%*#$ -+(+$'%'#-. -/)* &- %*#

)*$+2&%') )5/-%#$ 7". "!. 89. -+/(, /(-%&45# &(, *&$-*. +$ '($$"#%#&: ;+-% 05+'% %*'- ,'11#$#()#? )+(-+(&(% -+(+$'%'#- %#(, %+ &00#&$ &- 2/-')&5 ,#-%'(&%'+(-

+$ 0+'(%- +1 $#-%. 6*'5# ,'--+(&(% -+(+$'%'#- %#(, %+ 4# 2+$# &)%'@# &(, /(-%&45#:

8'--+(&()# '- %*# -0')# '( %*# 2/-')&5 -%#6:

A*# #'B*%##(%*C)#(%/$= 2&%*#2&%')'&( D#&(CE&0%'-%# F+/$'#$ -*+6#, %*&% &(=

0#$'+,') 6&@#1+$2 )&( 4# $#0$#-#(%#, &- %*# -/2 +1 -'(# 6&@#- 6*+-# 1$#G/#()'#- &$#

'(%#B#$ 2/5%'05#- +1 '%- 1/(,&2#(%&5 1$#G/#()=):

1)*2(& 3" A*# 0#$'+,') -+/(, +( %*# 5#1% *&- 1$#G/#()=): HA6+ $#0#%'%'+(- +1 %*# 6&@#

&$# -*+6(:I J% )&( 4# &(&5=K#, &- %*# -/2 +1 %*# -'(# 6&@#- +( %*# $'B*%. 6'%* 0#$'+,-)*

L)*&(, M): HA*#-# $#0#&% %6')#. 1+/$ %'2#-. &(, %6#5@# %'2#- '( %*# -&2# *+$'K+(%&5

-0&)#:I


11/91

!"#$%#&'(#) +"# +,,"-.(/+0#12 (& )(/,1# 34-1#5&%/6#" "+0(-) )%'4 +) 789 -" :8;< ="-%,)

-! 0-) 3(11 6# '-&)-&+&0 34#& 04#(" !%&>+/#&0+1 !"#$%#&'(#) +"# +11 /%0%+112 (& )(/,1#

(&0#?#" "+0(-)8 '4-">) )%'4 +) 789@ :8;87@ A8B8:8;@ C8D8A8B8: +&> )- -&< !"#$%$&' )* "+&

),-.&+/$,.- 0&"1+2$1 1)**$&$,. "%$&.",$-' .3$, #$ #"+41 3$5& 1)**$&$,. ),.$&%54- 5-

6$),7 2",-",5,.8

9: ;, .3$ 0)5,"' .3$ 2",-",5,. 23"&1- 1)%)1$ .3$ "2.5%$ ,$5&4< 6+. ,". 0$&*$2.4# 04# -'0+G# +"1256%05&-0 $%(0# #.+'012 #G#&12 04# /+M-" 0"(+>

>(G(># 04# -'0+G# #.+'012 #G#&128 04# &-0# 77N EF OP;Q >(G(>#) 04# -'0+G# 6#03##& 99N

EF OH7Q +&> ;;N EF OH;Q (&0- 03- #$%+1 ORRN5EF5)(F#>Q ,+"0)< OS-0# 04+0 P; () + ,#"!#'0

!(!04 +6-G# H;(G(>#) 04# -'0+G# 6#03##& 77N EF OP;Q +&> BBN EF OP:Q (&0- 04"## #$%+1 ORRN5EF5)(F#> ,(#'#)Q< J0 0%"&) -%0 04+0 34#& 3# ?- !"-/ !%&>+/#&0+1 !"#$%#&'(#) 0- -">(&+"2

&-0# 1+6#1)@ 3# 0"+&)!-"/ ,#"!#'012 #G#& >(G()(-&) (&0- +"12 #G#& >(G()(-&)3$ 1$$0 *52.: I4# 6+)(' )-&-"(0(#) -! V#)0#"& /%)('@ )%'4 +) ,#"!#'0 !(!04)@ /+M-"

0"(+>)@ >-/(&+&0 )#G#&04 '4-">)@ +&> )- -&@ 0%"& -%0 0- 6# (/,-"0+&0 !-" 03- >()0(&'0

"#+)-&)< U-&)(>#"#> +) (&>(G(>%+1 )-&(' -6M#'0)@ 04#2 +"# +'-%)0('+112 '-&)-&+&0@ +&>

4#&'# )-%&> ,1#+)(&? (& 04#(" -3& "(?40< W%0 )(&'# 04#)# '4-">) >(G(># 04# ,(+&-5

L#26-+"> -'0+G# +"12 #G#&12@ 04#2 +"# +1)- (>#+1 !-" '-/6(&(&? 4+"/-&(' '-&)()0#&'2

3(04 '-&M%&'0 /#1->(' /-0(-&X+) >()'%))#> (& +& #+"1(#" 1#'0%"#Y


12/91

!" $%&'( )*+,-)*+./*0 1*/+" "# $% &%'()%* &'#+ +,-%. $% /') )'-% 0,+/1%# 23 &'2%&,)4

+1% 5%3# 67 +1% 0,')68 9%(% ": ;< ==> 9?@ ,# AB. "C ;< CC> 9?@ ,# DE. "A ;< FF> 9?@ ,#

FG. ')* #6 6)8 H,+1 7I)*'-%)+'& 7(%JI%)/,%# $% !"#$%' )' $*++6 '#/%)* 23 6/+'K%L

$,+1 )I-%(,/'& 0,+/1 )6+'+,6). $% ,--$*.#/.8 M6 /6)K%(+ 7(6- ' -I&+,0&,/'+,6)N2'#%*

#3#+%- +6 ' '**,+,6) 2'#%* #3#+%-. $% I#% &64'(,+1-#8 O) +1,# /'#%. +1% %JI'+,6) ,#P

&< DE Q G=&64=;0RCC>@

6( +6 46 +1% 6+1%( $'3

0< CC> !=;&S DE@RG=

9%(%.0,# ' )6+%T# 7I)*'-%)+'& 7(%JI%)/3. ')*&,# +1% )I-%(,/'& 0,+/1 &'2%&8 O) 4%)%('&.

'**,+,6) ')* #I2+('/+,6) '(% %'#,%( +1') -I&+,0&,/'+,6) ')* *,K,#,6). $1,/1 ,# $13-I#,/,')# 0(%7%( )I-%(,/'& 0,+/1 &'2% +6 7I)*'-%)+'& 7(%JI%)/,%#8


13/91

!"#$% '()"#$%& '()*#) +,($-./$

0123$4* 5 67898:

#*+,- '. #$!/,- !-0$-12, %3"4*-5/3$4*

;4# %)#3 1%*># *?> >1#=)>@1(A=>< $% B>#2 -$42*>#A$)2*C *?> *D$

E$)-> 99*?F->2*4#, >@1(A=>< %$423 )2 *?> *>@*!" $%&'()* +',-.(")*6G0$D *$ (1/>

-$42*>#A$)2*H:& +?> )2=$D >2-1A 6($#> $# =>3K> #13)-1=

(4)2K (13> 9888 ,>1#< 1K$J

$6 /789:6 +?> $2=, 2$*>< 1==$D>3 1#> *?> E>2 D?)*> 2$*>< 123 L!&

$$6 5:;8: (4


14/91

!" $%&'()*" "#$%&'()* (&% +&,-.%/ 0#$, $1&%% 2)(**%*3 .%&4%2$ 2,#*,#(#2%*5 06.%&4%2$

2,#*,#(#2%*5 (#/ /0**,#(#2%*7 81&(*%* 6-*$ 9%+0# :0$1 ( .%&4%2$ 2,#*,#(#2% (#/ %#/ :0$1

%0$1%& ( -#0*,# ,& (# ,2$('%7 "6.%&4%2$ 2,#*,#(#2%* (&% .%&60$$%/ ,#); 0# $1% 60//)% ,4 $1%

.1&(*%7 "6.%&4%2$ 2,#*,#(#2%* *1,-)/ 9% -*%/ *,6%:1($ *.(&0#+);5 1,:%'%&3 $1%; :%&% $1,-+1$

$, 9% *,6%:1($ $, $1% 6,&% *$(9)% .%&4%2$ 2,#*,#(#2%*7

+,--()%)./- %&/ %0-(123/1* 4(&0,55/) %3 %11 3,'/-"

-#0*,# ?,& ,2$('%@5 .%&4%2$ 4,-&$1 ?,&

%)%'%#$1@5 .%&4%2$ 404$1 ?,& $:%)4$1@

.%&4%2$ 2,#*,#(#2%

$10&/ ?,& $%#$1@5 *0A$1 06.%&4%2$ 2,#*,#(#2%

*%2,#/5 *%'%#$15 (-+6%#$%/ 4,-&$1 ?,&

%)%'%#$1@5 /060#0*1%/ 404$1 ?,& $:%)4$1@

/0**,#(#2%

!6" 7%5/)./-" B(21 *6()) .1&(*% ,4 6-*02 *1,-)/ %#/ :0$1 $1% $:, ',02%* 6,'0#+ 9; *$%.5 0#

2,#$&(&; 6,$0,#5 $, ( -#0*,# ,& ,2$('%7 BA(6.)%3 $%#,& 6,'%* 4&,6 CD $, EF5 :10)% ()$, 6,'%*4&,6 GF $, EF7 H&3 $%#,& 6,'%* 4&,6 GF $, EF :10)% ()$, 6,'%* 4&,6 CF $, EI7

!66" 7&(-- &/1%3,()-8 9 %)5 9" J,- 2(# -*% $1% #,$% C!$, (',0/ $1% $&0$,#% 9%$:%%# K (#/ C7C% 2(&%4-) (9,-$ $1% $&0$,#% 9%$:%%# B (#/ C!5 1,:%'%&L J,- *1,-)/ #%'%& 1('% $:,2,#*%2-$0'% 21,&/*5 ,#% :0$1 ( C"(#/ $1% ,$1%& :0$1 ( C!7 M10* 0* 2())%/ ( =2&,** &%)($0,#7>

!666" :;&//(,)3""$ 0* ()*, .,**09)% $, -*% $1%*% &-)%* $, :&0$% $1&%% ',02%

2,-#$%&.,0#$7 M1% /0**,#(#2% &-)%* 0# *%2$0,# N (..); $, ()) $1&%%!"#$%,4 ',02%*O$1-* $1% .0%2%

1(* $, 9%+0# (#/ %#/ :0$1 $1&%%


15/91


16/91

MUSIC 105Dmitri Tymoczko

Handout 6 (2010)

SCALES, SCALES, SCALES

!" $%&'() &*+ ,-).%&' +.)/&*%(" "#$%&'(%)*+ ' $('), -,%,&./0,$ ' 10/% 23 .1$/(')

-/$%'0(,+ %4, !"#$% !'%(5 60 %4, $('), 7898:8;8$5 @4/$ >&2(,$$ /$ (')),- !"#$#+ '+#1!(/!*'*/12& %&'0$>2$/%/20 A/%4/0

%4, $('),5 ;2& /0$%'0(,+ A, %&'0$32&. 7898: DE92+ ' -,,&FG /0%2 98:8; DEH,+ ' -&2>FG #*

.2?/0C ,'(4 02%, /0 %4, 3/&$% >'%%,&0 1> 20, $('), $%,>5 I(')'& %&'0$>2$/%/20 /0%&2-1(,$

$1#%), #1% /.>2&%'0% ?'&/'%/20$ /0%2 .1$/(J 98:8; $210-$ '1-/#)* $/./)'& %2 7898:+ ,?,0

%421C4 98; /$ ' ./02& %4/&- A4/), 78: /$ ' .'K2& %4/&-5 L1$/('))*+ /% /$ /.>2&%'0% %4'%

%4,$, ?'&/'%/20$ 02% #, %22 )'&C,M 2%4,&A/$, $(')'& %&'0$>2$/%/20 A/)) -/$%2&% %4, (4'&'(%,&

23 ' .1$/(') >'$$'C, #,*20- &,(2C0/%/205 @4, ?'&/'%/20$ A/)) #, $.')) 20)* A4,0 ' $('),

-/?/-,$ %4, 2(%'?, &,)'%/?,)* ,?,0)*5

74&2.'%/( %&'0$>2$/%/20 /$ %&'0$>2$/%/20 &,)'%/?, %2 %4, (4&2.'%/( $('),5 N$1'))*+

A4,0 ' .1$/(/'0 $'*$ E%&'0$>2$/%/20+F $4, 4'$ (4&2.'%/( %&'0$>2$/%/20 /0 ./0-5

01234$('),$ C/?, 1$ ' %4/&- A'* %2 .,'$1&, .1$/(') -/$%'0(,+ -/$%/0(% 3&2. #2%4

%4, ),%%,&80'., $*$%,. '0- %4, 01.,&/(') $*$%,.5 720$/-,& %4, %4&,, A'*$ 23 .,'$1&/0C

%4, -/$%'0(, #,%A,,0 %4, $%,>$ /0 %4, E2(%'%20/(F $('), 787!89!8:8;!8


17/91

"

!!" $%&'( &)* +,*(- .%&'( /01( &)* +,*( /01(" #$ %& '()*+ ,$ -./0&- -)1203 /-

4&5).&- $,6 1&/-76)*8 17-)./0 4)-'/*.&9 '(&* -./0&- 4, *,' *&&4 ', (/5& :$)6-'; *,'&-?@?A?=?B?C?D?E>F< GH(& I6/.+&'- /6,7*4 '(& 0/-' > )*4)./'& '(/' %&

(/5& / .)6.70/6 ,64&6)*8 '(/' (/- 6&'76*&4 ', )'- -'/6')*8 2,)*' 4)/',*). -./0& >?@?A?=?B?C?D?E>F )- 4)$$&6&*' $6,1 '(& B 4)/',*). -./0&

B?C?D?>?@?A?=!?EBF9 -)*.& '(& $,61&6 (/- /* ="%()0& '(& 0/''&6 (/- /* =!< D7' '(& '%,-./0&- /6& 6&0/'&4 I3 .(6,1/'). '6/*-2,-)'),*P &5&63 *,'& )* '(& B 1/M,6 -./0& )- -&5&*

-&1)',*&- /I,5& '(& .,66&-2,*4)*8 *,'& )* '(& > 1/M,6 -./0&< =,6 '()- 6&/-,*9 '(&3 -,7*4

5&63 -)1)0/6< H%, -./0&- I&0,*8 ', '(& -/1&*(+,$ %01$)$ '(&3 /6& 6&0/'&4 I3 .(6,1/').

'6/*-2,-)'),*< H(& > /*4 B 4)/',*). -./0&- I,'( I&0,*8 ', '(& #'+%"&'( *(+,$ %01$)

Q)1)0/6039 '%, 1,4&- ', '(& -/1& !"#$ %01$)$ '(&3 /6& 6&0/'&4 I3 .(6,1/').

'6/*-2,-)'),*K $,6 &N/120& '(& @ 4,6)/* 1,4& @?A?=?B?C?D?>?@ /*4 '(& B 4,6)/* 1,4&

B?C?D#?>?@?A?=?B I&0,*8 ', '(& #"/'+& !"#$ %01$)2345!567 R7-).)/*- /6& *,' /0%/3- .,*-)-'&*' )* '(&)6 7-& ,$ '&61)*,0,83P

-,1&')1&- '(&3 7-& :-./0&; ', 1&/* :1,4&; G/- )* :'(& C */'76/0 1)*,6 -./0&;J9 /*4-,1&')1&- '(&3 7-& )' ', 1&/* :-./0& '32&; G/- )* :'(& 4)/',*). -./0&;J< Q,1&')1&-

:1,4&; 1&/*- :1,4& '32&; G:'(& 4,6)/* 1,4&;J< C- 0,*8 /- .,*'&N' 1/+&- 3,76

1&/*)*8 .0&/69 /*4 )' )- 2&6$&.'03 $)*& ', %6)'& /*4 -2&/+ )* '()- G-,1&%(/' )*$,61/0J

%/3


18/91

"

#$%&%&'%( )*+) )*% +,-./)0,+112 3.(% 404)* 0/ /105*)12 6044%(%7) 4(-& )*% %8.+1 )%&3%(%6

404)* -4 )*% -(607+(2 30+7-9: ;*0/ &%+7/ -4

404)*/ ?@A@B@C@D@E


19/91

"

#$% !"#$%&'#(% *+,$%&'('&%) *$% +,*-(% '.*+ )'/ 01%,')%23 %(%. 0-1*) -.& ,+.*-'.)

-) 4-.3 4-5+1 *$'1&) -) - *$1%%6.+*% ),-2% ,-. $-(%7 8#$-* ')9 %(%13 .+*% '. *$% ),-2% $-)

- 4-5+1 *$'1& -:+(% '*7; '1)* ?)%& :3 @2'.A-9 -.& =-) 4-&% >-4+?) :3 B%:?))37 1%C?%.*23 -00%-1) '. 5-DD 8%)0%,'-223 #$%2+.'+?) E+.AF) 02-3'.G; -.& ') +>*%. ?)%& *+

)'G.'>3 &1%-4 )%C?%.,%) '. *%2%(')'+. -.& 4+('%)7

! #$%&' (%)'

3+? *1-.)0+)% *$% ),-2% :3 *=+ ,$1+4-*', )%4'*+.%)9 3+? %.& ?0 ='*$ *$% )-4% ),-2%

-G-'.H4%-.'.G *$-* *$%1% -1% 5?)* *=+ =$+2%6*+.% ),-2%)I J'.,% *$') ),-2% $-) (%13 2'**2%

'.*%1.-2 (-1'%*39 '* C?',A23 :%,+4%) :+1'.G7

K )%,+.& )'/6.+*% ),-2% ') *$% "%-,'#(.+ *+,$%L ,+.)')*'.G +> -2*%1.-*'.G +.%6

)%4'*+.% -.& *$1%%6)%4'*+.% )*%0)7 >%1%.* 0%1>%,* >'>*$) -.& ,+.*-'.'.G 4-.3

&'>>%1%.* 4-5+1 -.& 4'.+1 *1'-&) 8$+= 4-.39 '> 3+? 'G.+1% )0%22'.GM;

! $'*+(%),-K4+.G *$% '40+1*-.* )%(%.6.+*% ),-2%)9 =% $-(% *$% ,*+%(/.(0 1%$#/.+ 1.(#2+1

,+#3*'.+ *+,$%8-2)+ )+4%*'4%) ,-22%& *$% N23&'-. &+4'.-.*O;9 ='*$ 4-5+1 +1 4'.+1 *$'1&)

-:+(% %-,$ +> '*) .+*%)9 -.& =$',$ &'('&%) *$% +,*-(% >-'123 %(%.237 *$) -.& *1'-&) 8$+= 4-.3M;7


20/91

"

" #$%&%#'($ #) " *(+('(,-.* /0&112

#$% &'()(&*+' ,')-% $), (.& ,+/%, &0 ,(%1 23 )*4 5 ,%6+(&*%,7 )*4 0&89($ 2: )*4 "

,%6+(&*%,7; +( $), &*-? &*% ,+/% &0 ($+94 2@ ,%6+(&*%,7 )*4 0+0($ 2A ,%6+(&*%,7;

B* ($+, ,%*,% +( +, *%)9-? ), ,?66%(9+')- ), ($% .$&-%C(&*% ,')-%D +0 .% (9)*,1&,% ($%&'()(&*+' ,')-% E? ($9%% ,%6+(&*%,> ($%* .% %*4 81 .+($ ($% ,)6% ,')-% )F)+*;

#$% 0&--&.+*F ()E-% ,866)9+/%, &89 ,')-%,;

345 6 7)(.8 -(,%#)9 #8 ,$&:., (' ;.,%.)' +.' D&E(+&::9

@&%. '#%., \%*()(&*+' \%90%'( 0+0($,

@(E '#%., X$&-% (&*%


21/91


22/91

"

!"#$%& () !(*%+ ,-./% ,%0"%1-% () 21*%&3./+

453% #$%&'&(%)* +,+,-,+,-

./(0$ &(%$ +,+,+,+,+,+,56

1$2'&(%)* 3,-,3,-,3,-

4)'&(%)* +,+,3,+,+,+,3

5$0(6)* 5)%(7 89*$%6)%: +,3,+,+,+,+,3

1'7;(%)* ;)%(7 +,3,+,+,3,-,3

,%3%1

1'7;(%)* ;'


23/91

"

cccccc

THE DIATONIC MODES

!"#$# &$# '#(#) *+,#' +- ."# ,/&.+)/0 '0&1#2 !"#3 &11 0+).&/) ."# '&*# )+.#'4 56. #*7"&'/8# & ,/--#$#).

)+.# /) ."# 0+11#0./+)2 !"# *&/) )+.# +- #&0" *+,# /' ."#tonic+- ."# *+,#2

92 : /+)/&) ;< *&=+$> C is tonic ? /+)/&)

@2 A ,+$/&) D is tonic ? ,+$/&)

B2 C 7"$3D/&) E is tonic ? 7"$3D/&)

E2 ? 13,/&) F is tonic ? 13,/&)

F2 G */H+13,/&) G is tonic ? */H+13,/&)

I2 J &+1/&) ;J )&.6$&1 */)+$> A is tonic ? &+1/&)

K2 L 1+0$/&) ;(#$3 $&$#> B is tonic ? 1+0$/&)

in this column, each mode is transposed

so that F is tonic


24/91

"

!"# %&'#( &) !"# %#*&'+, %+-&.

#$%&% '&% (%)%* +,-%( ,. /$% '(0%*-1*2 +%3,-10 +1*,& (0'3%4 56%&% 78)% 31(/%- /$%+ 1*

/9, 9':(; .1&(/< '( -1..%&%*/ '&&'*2%+%*/( ,. /$% *,/%( =>?>@!>A>B>C>D< '*- (%0,*-< (,

/$'/ /$%: (/'&/ ,* =4E F,+% ,. /$%+ '&% )%&: 0,++,* 1* G'HH '*- ,/$%& +I(10(< 9$%&%

/$%: '&% I(%- 1* J,/$ /$%1& '(0%*-1*2 '*- -%(0%*-1*2 .,&+(4 K,/% /$'/ /$%(% +,-%( '&%,./%* 0'33%- L(0'3%(4M

!" $ %&'()*+ %*,(- ./+&,)*,0

1" ,(2 ,.%&) 3-.-&4

5" ,(2 ,.%&) 3-.-&4

6" 7 89)*., :(%*,.,2 /+.'& 3;.


25/91

"#

?

?bbbbbbbbbbbbbb

bbbbbbbbbbbb

bbbbbbbbbb

bbbbbbbb

bbbbbb

bbbb

bb

C major G major D major A major E major B major Fsmajor Csmajor

A minor E minor B minor Fsminor Cs minor Gsminor Dsminor Asminor

Cfmajor Gfmajor Dfmajor Afmajor Efmajor Bfmajor F major C majorAfminor Efminor Bfminor F minor Cminor G minor D minor A minor

DIATONIC KEY SIGANTURES

$%&'( &)'*' +*' ,% -'. /01,+&2*'/ *'320*0,1 + 4%256' /)+*7 %* 4%256' 86+&9 :)0/ 0/ ;). ;' 4%,'= ?!@+A%*= ;)%/' ,%&'/ ?!= B!= C!= D!!= E!= F!= G!*'320*'/ + 4%256' 86+&9


26/91

MUSIC 105

Dmitri Tymoczko

Handout 7 (2010)

!"#$% %'#(!$) $%$)*+,+

,- ./01123451 64374383617- "#$%& '()*+ ,-./$*),) 0*1*0.0 ,-. *2,.$1#%) *2,/ !"#$"#%#!&$

3(2*)/24 '*2/$ ,-*$04 '#5/$ ,-*$04 6.$7.+, 7/($,-4 #20 #%% ,-.*$ $.8*),$#% *21.$)*/2)9: #20

'($$"#%#!&$3.1.$&,-*28 .%).:; . # %//> #, ,-. ,-$..?2/,. +-/$0) +/2,#*2*28 /2%&

+/2)/2#2+.);

(a)

(b)

@-/). *2 3%: -#1. ,A/ +/6*.) /7 )/'. 2/,.; B) # $.)(%,4 ,-.& )/(20 # %*,,%. %.)) $*+- #20 7(%% ,-#2

,-/). *2 3):; C. +#%% ,-*) ).+/20 8$/(6 *+(%'$, )*2+. ,-.& -#1. ,-$.. 0*),*2+, 6*,+- +%#)).); D1.$

,-. +.2,($*.) '()*+*#2) 8$#1*,#,.0 '/$. #20 '/$. ,/A#$0 ,$*#0)4 6$.7.$$*28 ,-.*$ $*+-2.)) ,/ ,-.

.'6,& )/(20 /7 ,-. +-/$0) *2 3%:;

,,- 9:;877 7?@>4A7- D$*8*2#%%&4 ,$*#0) A.$. 2#'.0 E& 8*1*28 ,-.*$ E#)) 2/,.4 6%()

,-.*$ *2,.$1#%) #E/1. ,-. E#)); @-. )&'E/%!"

'.#2) ,-#, ,-.$. #$. # 7*7,- #20 ,-*$0 #E/1. ,-. E#))4$"

'.#2) ,-#, ,-.$. #$. # )*F,- #20 ,-*$0 #E/1. ,-. E#))4$%

'.#2) ,-#, ,-.$. #$. # )*F,- #20 7/($,-

#E/1. ,-. E#)); 3G.$. A. #8#*2 0*)$.8#$0 .F,$# /+,#1.)H I# 7*7,-J +/(%0 '.#2 I7*7,- 6%() #2

/+,#1.J /$ I7*7,- 6%() ,A/ /+,#1.)4J .,+;: K/ *2 ,-. '()*+ E.%/A4 ,-. 7*$), ,-$.. +-/$0) A/(%0 -#1.

E..2 +#%%.0 L!"

4 ,-. ).+/20 B$"

4 #20 ,-. ,-*$0 M$%

;

C

5eA6e

B6r

N, *) +(),/'#$& ,/ #EE$.1*#,. ,-.). )&'E/%) E& .%*'*2#,*28 ,-.!"

4 A$*,*28 O7/$$"

4 #20 >..6*28$%

(2+-#28.0;

9@-#, *)4 #%% ,-. 2/,.) &/( +/(%0 8., E& ),#$,*28 A*,- P4 'Q4 RQ4 ST #20 ,$#2)6/)*28 .*,-.$ 2/,.

E& #2& 2('E.$ /7 /+,#1.);


27/91

"

!!!" $%%&'" #$%& '() *+,--./' *$(01- .& 2$.- 3,'4 2$%0% ,55%,0 2( 6% 2$0%% /)&1,7%&2,+

8.&1- (/ *(&-(&,&2 20.,1-9!"

4$"

,&1$%

: ;& 2$% %,0+' %..%,

ABC>)*&)2 RS T RS RS IU DE4 F4 G!H ETD-E%1 RS T 7S RS ?U DE4 F4 GH E

D3*%1 7S T RS 7S ?U DE4 F"4 GH *F3>3*3'0)2 7S T 7S 7S 1U DE4 F"4 G"H *V

;&


28/91

"

#$%& %'(% %'& )*+*,*-'&) %.*() '(- ( )*--$,(,% *,%&./(01 %'& )*+*,*-'&) 2*2%'3 4'& (56+&,%&)

%.*()7- (56+&,%&) 2*2%' 8(- 9$,-*)&.&) )*--$,(,% (- 8&001 &/&, %'$56' *% -$5,)- :5-% 0*;& ( +*,$.

-*&0&) FF =2$. +(:$.B

$. ** =2$. +*,$.B1 (,) -$ $,3 G,9& (6(*,1 ( 9(@*%(0 0&%%&. 8*%' ( @05- -*6, =&363 FFFHB *,)*9(%&- (,

(56+&,%&) %.*()1 ( 9(@*%(0 0&%%&. =&363 FFFB *,)*9(%&- ( +(:$. %.*()1 ( -+(00 0&%%&. =***B *,)*9(%&-

+*,$.1 (,) ( -+(00 0&%%&. 8*%' ( )&6.&& -*6, =***IB *,)*9(%&- )*+*,*-'&)3 C& *,)*9(%& %'& ;&A %$

%'& 0&2% $2 %'& D$+(, ,5+&.(0-1 5-*,6 9(@*%(0 0&%%&.- 2$. +(:$. ;&A- (,) -+(00 0&%%&.- 2$. +*,$.

;&A-3

w w w w w w w w

w w w w w w w w

w w w w w w w w w w w w w w w w w w w w w w w

C: I ii iii IV V vi vii I

major

minor (harmonic minor scale)

c: i ii III+ iv V VI vii i

minor (melodic minor scale)

c: i ii III+ IV V vi vii i VII VI v iv III ii i

c: i ii III iv v VI VII i

minor (natural minor scale)

C& 9(, 5-& %'& -(+& -A-%&+ 2$. +$)(0 +5-*91 %'$56' A$5 -'$50) -@&9*2A %'& +$)& 9$+@0&%&0AJ

w w w w w w w wC mixolydian: I ii iii IV v vi VII I

mixolydian

D$+(, ,5+&.(0- 9(, (0-$ >& 5-&) 2$. 9'$.)- ,$% *, %'& -9(0&J (99*)&,%(0- >&2$.& %'& ,5+&.(0

(@@0A %$ %'& .$$%1 8*%' 9(@*%(0K-+(00 0&%%&.- .&2&..*,6 %$ +(:$.K+*,$. *, %'& -%(,)(.) 8(A3 4'5-

LFFFM .&2&.- %$ (, N +(:$. 9'$.) *, %'& ;&A $2 O +(:$. =*** 8*%' ( .(*-&) %'*.)B1 (,) L!PFM .&2&.- %$Q +(:$. *, %'& ;&A $2 E +(:$.3 R*+*0(.0A1 L"**IM *, S +(:$. *- (, E")*+*,*-'&) %.*()3


29/91

"

!"# %&'&()* +*,-./# #$%&'$ () (*++ ,%- .) &/*,' /)0),-$ 1$%23/ 4%2 5 4)( 6%2) ())7/8

*-9/ (%2-$ :&--*,' -$)6 $)2);

0/)1+2 ,3 )*4-./5 6*4-. 743)* %&'&()* 891:;, *>


38/91

!" $%&'( )*+',-.-) /*,0.11'- 23,3&&'&("

!" $%&'()*+,-( .(/0()+ ,&+(/-12'3-* 45* +*.6'( 63- 738' 2',/'64 *643+'( *- 45*

6*-('6%4.+' 69*,1(: *, 2',/'64 /./49( *- 45* 6*-('6%4.+' 69*,1(" ;? 4* @?: 59.&' 3&4* 7*+'( /,*7 A? 4* >B"

4" 5,6,&,'7(8 0,0+7 +% .(/0()+ 0,0+79 C/ (*7' +*.6' .( 3 1.7.-.(9'1 /./49 30*+' 49'

03((: 49'- .4 63--*4 738' 3 2',/'64 /./49 5.49 49' 03(( *- 49' -'2(8,''%&1&)(./ 49' 03(( .( -*4

.-+*&+'1G .-4*&',30&' *49',5.('

'+',F49.-) '&(' 1.((*-3-6'

U" K( 3 ,'(%&4: 4,.31( 63- 322'3, *-&F .- ,**4 2*(.4.*- *, /.,(4 .-+',(.*-" ?()%&8

,&-(/',%& +/,18' 1/( )%&',8(/(8 8,''%&1&+@


39/91

!"# !%&'()*+%)# !"#$%&% %"()*+ ,&-./ $/+ &/+ 0.1" #((1 2(%.1.(/ 1#.$+%3 4&/$**56 #((1

2(%.1.(/ 7"(#+% $#& 1"& /(#89)%& 1"&8 $,()1 :;< (= 1"& 1.8&3 >.#%1 ./?%.(/ 1#.$+%

%"()*+ ,& )%&+ (/*5 0"&/ 1"&5 7(/1#.,)1& 1( $ %8((1"6 8&*(+.7 ,$%% *./&6 $,()1 @;< (= 1"&

1.8&3 A -((+ #)*& (= 1")8, .%B 0"&/ 1"& 1".#+ (= 1"& 7"(#+ .% ./ 1"& ,$%%6 .1 %"()*+ ,&

7(//&71&+ ,5 %1&2 1( &.1" 1"& /(1& 1"$1 7(8&% ,&=(#& .16 (# 1"& /(1& 1"$1 7(8&% $=1$#+3

CD(8&1.8&% (/& (= 1"&%& /(1&% 0.** ,& $ 2$%%./- 1(/&3E F(0&? 1".% .% G)%1 $ #)*& (=

1")8,91"& $#2&--.$1.(/ ./ 1"& 1".#+ 8&$%)#& ,&*(0 .% 2=&71*5 /(#8$*3

?

bad: leaping betweeninversions without aclear melodic or

harmonic purpose.

good: the stepwisebass is melodic

good: the bass arpeggiatesan A minor chord, which isalso the chord in the upper

voices

"# ,-.'%/')# H/ -&/$* 2"#$%&%6 %"()*+ ,&-./ $/+ &/+ 0.1" 1"& %$8& 7"(#+6 1"()-" 1".%

#)*& 7$/ (77$%.(/$**5 ,& ?.(*$1&+3

!" $%&'' (& )(&' *(+,'-.A1 &? 7$+&/7&6 10( ?(.7&% %"()*+ 8(?& ,5 %1&26 ./

7(/1#$#5 8(1.(/6 1( $ )/.%(/ (# (71$?&3 I"& 2.17" 7*$%% (/ 0".7" 1"&%& ?(.7&%

7(/?-& %"()*+ $*%( $22&$# ./ 1"& ,$%% (= 1"& =./$* 7"(#+3 I"& #&8$././- ?(.7&%

%"()*+ ,& +&2*(5&+ %( 1"$1 1"& 2&/)*1.8$1& 7"(#+ .% $ 7(82*&1& 1#.$+3 H/ =()#

?(.7&%6 1"& =./$* 7"(#+ 7$/ ,& &.1" $ #((1 2(%.1.(/ 1#.$+6 $ ,$#& 1".#+6 (# $ ,$#&

=.=1"3 H/ 1"#&& ?(.7&%6 .1 7$/ $*%( ,& $ )/.%(/3 JK$82*&B 1&/(# 8(?&% =#(8 L< 1(

MN6 0".*& $*1( 8(?&% =#(8 ON 1( MNP ,$%% 8(?&% =#(8 4< 1( M


40/91

MUSIC 105

Dmitri Tymoczko

Handout 11 (2010)

!"#$%%&'(&)* ,(-./%$0'12%$ 3/."-)2 4&1( 5-)(/."-)&6 7-)$'

"#$%$ &%$ & '()*$% +, -&./ 0+ 0&1$ & /2)34$ 5+26$74$&82'9 /1$4$0+' &'8 $)*$442/# 20 0+ 6%$&0$

/+)$0#2'9 )+%$ /+3#2/026&0$8 &'8 )(/26&4: ;+/0 +, 0#$/$ 2'5+45$ !"!#$%&"!'( *"!+,-+% '+0$/

,+%$29' 0+ 0#$ ('8$%4.2'9 #&%)+'.: "#$%$ &%$ ,+(% )&2' 0.3$/ +, '+'#&%)+'26 0+'$/ 2'

2' 6#+%&4$ /0.4$= &4)+/0 &4-&./ 0#$ /$6+'8 $29#0# '+0$ 2' & *$&0E= &'8 (/(&44. 6+''$60 0-+6+'/+'&'6$/: R+-$5$%= .+( /+)$02)$/ ,2'8 0-+ 3&//2'9 0+'$/ 2' & %+-= &/ 2' 0#$ ,+(%0# $T&)34$

*$4+-: C+)$02)$/ 0#$ 3&//2'9 0+'$ +66(%/ +' & /0%+'9 *$&0= ,+%)2'9 &' $((+!*+2 .$,,'!/ *"!+5

F"#$%$ &%$ &60(&44. & ,$- +0#$%/ 0#&0 .+( -244 $5$'0(&44. '$$8 0+ 4$&%'K 2'6+)34$0$ '$29#*+%

0+'$/= 3$8&4 0+'$/= &'8U2, .+( 829 8$$3 2'0+


41/91

"

PTPT

PT

PT, PT APT

two PTs in a row!

#$ %&'()*'+ ,-).+/ .0+1(+ *1//)23 %-()-24 )( )/ 1 3--5 )5+1 $-0 (6+ *1//)23 (-2+/ (- 7+ .-2/-212(

8)(6 +1.6 -(6+09 :10+ -0 -7,)-&/ *101''+' $-&0(6/4 .1&/+5 7; *1//)23 (-2+/ )2 (8- ,-).+/4 10+

$1)0'; 010+< weird

PTs don't sound veryconsonant together.

=-%+()%+/ 1 .-%*-/+0 8)'' 5+')7+01(+'; &/+ *1//)23 (-2+/ (- .0+1(+ 1 5)//-212( >.'1/64? 1/ )2 (6+

@ %)2-0 $&3&+ $0-% :--A # -$ (6+ !"## %"&'"(") *#+,-"(. B6)/ )/ 1 /*+.)1' +$$+.(4 (6-&364 125 )/

0+'1(),+'; &2&/&1'9 C-( 0+.-%%+25+5 &2()' ;-& 3+( (- DE="FG -0 /-9

!!!" $%&'()*+ ,*-%." H 2+)367-0 (-2+ %-,+/ 7; /(+* $0-% 1 .-2/-212.+ (- 1 5)//-212.+4 7+$-0+

0+,+0/)23 5)0+.()-2 125 0+(&02)23 7; /(+* (- (6+ /(-0-1+#.-2/-212.+9 C+)367-0 (-2+/ .12 7+

1..+2(+5 -0 &21..+2(+59

NT NT

accented

NT

!/" 0-,&1&23,&*-." H2().)*1()-2/ 10)/+ $0-% 06;(6%). 5)/*'1.+%+2(< 1 .6-05 (-2+ 1**+10/ 1 ')(('+

7)( 7+$-0+ (6+ .6-059 H2().)*1()-2/ %-/( -$(+2 -..&0 )2 (6+ %+'-5;4 125 &/&1''; %-,+ 7; /(+*9

I-8+,+04 -2+ 5-+/ $)25 (6+% )2 -(6+0 ,-).+/ 125J,+0; -..1/)-21'';J(6+; %1; )2,-',+ '+1*/9

A

A

H2().)*1()-2/ 10+ 1'%-/( 1'81;/ &21..+2(+54 /)2.+ (6+; *0+.+5+ (6+ 100),1' -$ 1 .6-059


42/91

"

!" $%&'()&*+)&" #$%&'(%)*(% +,' -.' /*%- 0*/&1)0+-'2 *3 -.' (*(.+,/*()0 -*('%4 5(-$)-)6'178

7*$ 0+( -.)(9 *3 -.'/ +% + :+7 -* 2'0*,+-' + 2'%0'(2)(; /'1*2)0 %-'&


43/91

"

#$ %&'#()*+#,- ./0&( +,*&%1/(' 2+*3+, /, #4*/1&5 '# *3/* / *&,*3 6#4*/1& 7()' *3+%89 +' : /,8 /

*2&($*3 6#4*/1& 7()' $+$*39 +' ;-


44/91

"

#$%&'(%&) '*& +*$,- +./ &0&/ +*./1& 2,$% )3)4&/)($/ '$ ,&)$53'($/6 7*& ,35& *&,& () '*.' '*&

,&)$53'($/ '$/& %3)' 8& . +*$,- '$/& (/ '*& +*$,- '*.' .44&.,) 3/-&, '*& )3)4&/)($/6 9/'3('(0&5:;(2 :$3 &,.)& '*& )3)4&/)($/< ./- )(%45: ,&45.+& '*& )3)4&/-&- /$'& =('* '*& '$/& $2 '*&

,&)$53'($/< :$3 1&' )$%&'*(/1 '*.' %.>&) )&/)& *.,%$/(+.55:6

C: V I vi

Chord changes as suspensionresolves. The tone of resolution,

C, belongs to both chords on beat 2

"#$ %&'()*+&',- .&'/01 -(&*2 .&'/01 )'2 3)*)44/4 5,5.(0$ ?*$,-.5 )>(4) ./- /$/*.,%$/(+

'$/&) .,& /$' (/ 1&/&,.5 . %&./) '$ .0$(- 4.,.55&5)6 @ 1$$- ,35& $2 '*3%8 (); (2 :$3 *.0& 4.,.55&5)

34$/ &5(%(/.'(/1 '*& /$/*.,%$/(+ '$/& A$, +*$,-.5 )>(4B< '*&/ :$3C,& (/ ',$385&D '*&

/$/*.,%$/(+ '$/& A$, +*$,-.5 )>(4B %&,&5: -()13()&) '*& 4,$85&% 83' -$&) /$' %.>& (' 8&''&,6#$%&=*.' 3/2.(,5:< *$=&0&,< /$/*.,%$/(+ '$/&) +./ !"#$%#4.,.55&5)6 #$ (2 '*& )$4,./$

%$0&) ?"EF"EG" =*(5& '*& '&/$, %$0&) H"EH"E@"< '*.' () 4.,.55&5 2(2'*)< #' )*'*& F" () .

4.))(/1 '$/&6 7*3) 8$'* $2 '*& 2$55$=(/1 4.)).1&) .,& 8.-6

passing F4 does noteliminate sop/altoparallels

passing D5 createssop/alto parallels!

7*&,& () $/& &I+&4'($/ '$ '*() ,35&< 1(0&/ 8: '*& 2$55$=(/1 4,$1,&))($/6

ANT

PT

C: V I

for whatever reason, Bachallows this!

J&,& =& *.0& . 2.55(/1 2(2'* 4,$1,&))($/ AKE9 (/ L$%./ /3%&,.5 '&,%)B =('* )+.5& -&1,&&) MEN (/'*& )$4,./$< ./- . 4.))(/1 '$/& "EOEP (/ . 5$=&, 0$(+&6 Q$, =*.'&0&, ,&.)$/< (' .44&.,)2,&R3&/'5: (/ S.+*6


45/91

!"#$% '()"#$%& '()*#) +,($-./$

0123$4* 56 768589

*+, -,./,012 .3 !45678 09.:;.0, 7+.1


46/91

!" $%& $'()*+,&"-+("./ -0.1&2 03(43&--+("- 1." 5& 3&03&-&"$&* 56 /+"& -&4,&"$-7 $%8-

9+483& : 3&03&-&"$- ;=?!;>=2


47/91

!"#$%"&'() (&+ ,-#'$.() )$&- /-01-&'/ #-2#-/-&' 1"'$"& $& ( /$&0)- ,"$.- 34$05#-

678 9(#())-) 1"'$"&: $& ; ' 6?@:

/" '


48/91

(C4, C4) (D4, D4) (E4, E4) (F4, F4) (Fs4, Fs4)(Cs4, Cs4) (Ef4, Ef4)

(D4, D5) (E4, E5) (F4 , F5) (Fs4, Fs5)(Cs4, Cs5) (Ef4, Ef5)(Fs3, Fs4) (Gs3 Gs4) (Bf3, Bf4) (B3, B4) (C4, C5)(G3, G4) (A3, A4)

(Gs4, Gs4) (Bf4, Bf4) (B4, B4) (C5, C5)(G4, G4) (A4, A4)

(D5, D4) (E5, E4) (F5, F4) (Fs5, Fs4)(Cs5, Cs4) (Ef5, Ef4)(Fs4, Fs3) (Gs4, Gs3) (Bf4, Bf3) (B4, B3) (C5, C4)(G4, G3) (A4, A3)

(B3, Cs4) (C4, D4) (D4, E4) (E4, Fs4) (F4, G4)(Cs4, Ef4) (Ef4, F4) (Fs4, Gs4) (G4, A4) (A4, B4) (B4, Cs5)(Gs4, As4) (Bf4, C5)

(B4, Cs4) (C5, D4) (D5, E4) (E5, Fs4)(Cs5, Ef4) (Ef5, F4)(F4, G3) (Fs4, Gs3) (G4, A3) (A4, B3) (B4, Cs4)(Gs4, As3) (Bf4, C4)

(B3, D4) (C4, Ef4) (D4, F4) (E4, G4)(Cs4, E4) (Ef4, Gf4) (F4, Af4) (Fs4, A4) (Gs4, B4) (As4, Cs5)(G4, Bf4) (A4, C5)

(B4, D4) (C5, Ef4) (D5, F4) (E5, G4)(Cs5, E4) (Ef5, Gf4)(F4, Af3) (Fs4, A3) (Gs4, B3) (As4, Cs4)(G4, Bf3) (A4, C4)

(Bf3, D4) (B3, Ds4) (Df4, F4) (Ef4, G4) (E4, Gs4)(C4, E4) (D4, Fs4) (Fs4, As4) (Af4, C5) (Bf4, D5)(A4, Cs5)(F4, A4) (G4, B4)

(B4, Ds4) (Df5, F4) (Ef5, G4) (E5, Gs4)(C5, E4) (D5, Fs4)(E4, Gs3) (Fs4, As3) (Af4, C4) (Bf4, D4)(A4, Cs4)(F4, A3) (G4, B3)

(Bf3, E4)(A3, Ds4) (B3, F4) (Df4, G4) (Ef4, A4)(C4, Fs4) (D4, Gs4) (F4, B4)(E4, Bf4) (Fs4, C5) (Gs4, D5)(G4, Cs5) (A4, Ds5)

(Bf4, E4) (B4, F4) (Df5, G4) (Ef5 A4)(C5, Fs4) (D5, Gs4)(Ef4, A3) (F4, B3)(E4, Bf3) (Fs4, C4) (Gs4, D4)(G4, Cs4) (A4, Ds4)

(D4, B4) (Ef4, C5) (F4, D5) (G4, E5)(E4, Cs5) (Gf4, Ef5)(Bf3, G4)(A3, Fs4) (B3, Gs4) (Cs4, As4)(Af3, F4) (C4, A4)

(D4, B3) (Ef4, C4) (F4, D4) (G4, E4)(E4, Cs4) (Gf4, Ef4) (Bf4, G4)(A4, Fs4) (B4, Gs4) (Cs5, As4)(Af4, F4) (C5, A4)

(Ds4, B4) (F4, Df5) (G4, Ef5)(Gs4, E5)(E4, C5) (Fs4, D5)(Bf3, Gf4)(A3, F4) (B3, G4) (Cs4, A4)(Gs3, E4) (C4, Af4) (D4, Bf4)

(Bf4, Gf4)(A4, F4) (B4, G4) (Cs5, A4)(C5, Af4) (D5, Bf4)(Ds4, B3) (F4, Df4) (G4, Ef4)(Gs4, E4)(E4, C4) (Fs4, D4)(D4, Bf3)

(D4, C4) (E4, D4) (Fs4, E4) (G4, F4)(Ef4, Cs4) (F4, Ef4)(Cs4, B3) (Bf4, Af4)(A4, G4) (B4, A4) (Cs5, B4)(Af4, Gf4) (C5, Bf4)

(D4, C5) (E4, D5) (Fs4, E5) (G4, F5)(Ef4, Cs5) (F4, Ef5)(Bf3, Af4)(A3, G4) (B3, A4) (Cs4, B4)(Af3, Gf4) (C4, Bf4)(G3, F4)

(Cs4, C5) (Ef4, D5) (F4, E5) (Fs4, F5)(D4, Cs5) (E4, Ef5)(Bf3, A4)(A3, Gs4) (B3, As4)(Af3, G4) (C4, B4)(G3, Fs4)

(Cs4, C4) (Ef4, D4) (F4, E4) (Fs4, F4)(D4, Cs4) (E4, Ef4) (Bf4, A4)(A4, Gs4) (B4, As4)(Af4, G4) (C5, B4)(G4, Fs4)

(C4, Cs4) (D4, Ef4) (E4, F4) (F4, Fs4)(Cs4, D4) (Ef4, E4) (Bf4, B4)(A4, Bf4) (B4, C5)(Af4, A4)(G4, Af4)(Fs4, G4)

(C5, Cs4) (D5, Ef4) (E5, F4) (F5, Fs4)(Cs5, D4) (Ef5, E4)(Bf4, B3)(A4, Bf3) (B4, C4)(Af4, A3)(G4, Af3)(Fs4, G3)

(Bf3, F4)(A3, E4) (B3, Fs4) (Df4, Af4)(C4, G4) (D4, A4) (Ef4, Bf4) (E4, B4) (Gf4, Df5) (Af4, Ef5)(F4, C5) (G4, D5)

(Bf4, F4)(A4, E4) (B4, Fs4) (Df5, Af4)(C5, G4) (D5, A4)(Ef4, Bf3) (E4, B3) (Gf4, Df4) (Af4, Ef4)(F4, C4) (G4, D4)

(Bf3, Ef4) (B3, E4) (Df4, Gf4) (Ef4, Af4)(C4, F4) (D4, G4) (Fs4, B4) (G4, C5) (A4, D5)(Gs4, Cs5)(E4, A4) (F4, Bf4)

(Bf4, Ef4) (B4, E4) (Df5, Gf4) (Ef5, Af4)(C5, F4) (D5, G4)(Fs4, B3) (G4, C4) (A4, D4)(Gs4, Cs4)(E4, A3) (F4, Bf3)

!"#$%& ()" #$%&'$( $) '()'('&*+ &,$-.'/*(0'$(12 $%.*%*. #'&34 0#13*5

641& 17$8& &4* 2$,*%-2*)& 1(. 8##*%-2*)& 981.%1(&0: ;*%*+ &4* %*21&'$(04'# '0

0$/*,41& 41%.*% &$ 4* &,$ %'


49/91

!"#$%& ()"#$%#%$ &'()* +&,)% '+ -'.% , &'%)% /0 1,--&,&%#2

! #$% &'(')*% +, -$% ./-0 34,5'6% 6/1 (*,( ,6 ,6( '+ 1,-.'65 ,-/65 (*% 1,--&,&%#

'6 7'58#% 92 :8&&/+% (*,( ;/8 ,6$ 3 ,#% 5,4


50/91

!"# %"&'()*+ ,"(&- !(& -.* /&-0' -+/1*%-"+23 4& -.* '(&56*7-(6* +*,+*'*&-/-("& -.*

/&- /,,*/+' -" 89":&%* ";;< -.* ;(5:+*0' :,,*+ *)5*= (- (' /' (; -.* -", /&) 9"--"> *)5*'

/%-*) /' >(++"+'? "+ -.* 9:>,*+' "& / ,""6 -/96*? +*;6*%-(&5 -.* /&- 9/%@#/+) /#/2 ;+">

-.* 9":&)/+23 A:- #* %/& '** ;+"> B(5:+* C/ -./- -.* /&-0' /%-:/6 -+/1*%-"+2 (' '-+/(5.-3

!"-.(&5 (&-+(&'(% -" -.* /&-0' >"-("& ,+"):%*' -.* %./&5* (& )(+*%-("&D+/-.*+? (- (' -.*

'-+:%-:+* "; -.* #/66,/,*+ "& #.(%. (- #/6@'3 E.* /&-? 9*(&5 :&/#/+* "; -.* #/66,/,*+0'

,/--*+&? #":6) ./F* &" @&"#6*)5* -./- /&2-.(&5 :&:':/6 #/' "%%:++(&53

G66 -.(' -/6@ /9":- /&-'? #/66,/,*+? /&) 5/>96(&5 >/2 '**> 6(@* / )('-+/%-("& ;+">

-.* '*+(":' 5"/6 "; :&)*+'-/&)(&5 >:'(%3 A:- (& ;/%-? #* %/& ;"+> / ,+*%('*62 '(>(6/+

'-+:%-:+* 92 8;"6)(&5 :,< -.* (&;(&(-* -#"7)(>*&'("&/6 !"#$%&'',/%* (& B(5:+* H3 4& -.('

%/'*? (5&"+(&5 #./- -(6* #* /+* "& %"++*',"&)' -" (5&"+(&5 -.* ()*+)/&) (%,&-+"; / ,/(+

"; &"-*'3 4& "-.*+ #"+)'? -.* +*':6-(&5 ',/%* +*,+*'*&-' -#"7&"-* %."+)'? /' >:'(%(/&' /+*

/%%:'-">*) -" -.(&@(&5 "; -.*>3 E.:' -.* I/+/96* "; -.* G&-? +/-.*+ -./& 9*(&5 /

;+(F"6":' )(5+*''("&? ./' /%-:/662 >/+@*) -.* 9*5(&&(&5 "; ":+ (&F*'-(5/-("& (&-" /

+*>/+@/96* %"&F*+5*&%* 9*-#**& >:'(% -.*"+2 /&) %"&-*>,"+/+2 5*">*-+23

. 01(23(,+ %4()* #5&%+6J:+ 5"/6 (' -" 8;"6)< -.* (&;(&(-* ',/%* "; B(5:+* K '" /'

-" 56:* -"5*-.*+ /66 -.* )(;;*+*&- ,"(&-' +*,+*'*&-(&5 -.* '/>* %."+)= LMN? ONP? LON? MNP?

LOH? MKP? /&) '" "&3 E.* +*':6- #(66 9* / &*# 5*">*-+(%/6 ',/%*? /&/6"5":' -" ":+ '(&56*

-(6* "; #/66,/,*+? (& #.(%. ,"(&-' +*,+*'*&- %4()*#D"+ :&"+)*+*) ,/(+' "; ,(-%. %6/''*'D

+/-.*+ -./& "+)*+*) ,/(+' "; ,(-%.*'3

Q/,,(62? -.* #"+@ ./' /6+*/)2 9**& )"&*3 E.* 8#/66,/,*+ ',/%*< )*'%+(9*) (& -.*

,+*%*)(&5 '*%-("& #/' >")*6*) "& B(5:+* H? /&) #* %/& -.*+*;"+* (>>*)(/-*62 /)/,- ":+

+*':6-' -" -.* >:'(%/6 %/'*3 R(&%* */%. "; -.* S:/)+/&-' "& B(5:+* H %"&-/(&' ,+*%('*62

"&* ,"(&- ;"+ *F*+2 :&"+)*+*) '*- "; ,(-%. %6/''*'? /&2 "; -.*> %/& 9* :'*) -" +*,+*'*&-

-#"7F"(%* >:'(%3 B(5:+* T )*,(%-' / '(&56* S:/)+/&- "; B(5:+* H? +*>"F(&5 "%-/F*

)*'(5&/-("&' -" +*;6*%- -.* ;/%- -./- #* ./F* )('%/+)*) "%-/F* (&;"+>/-("&3 E.":5. -.*

,"(&-' /+* 6/9*6*) :'(&5 "+)*+*) ,/(+'? -.(' "+)*+(&5 (' &"- '(5&(;(%/&-= -.* ,"(&- MU!+*,+*'*&-' -.* "+)*+(&5 LU!? MP 1:'- /' >:%. /' (- +*,+*'*&-' -.* "+)*+(&5 LM? U!P3

4& VW? #* +"-/-*) -.* %""+)(&/-* /X*'? '" -./- ,/+/66*6 >:'(%/6 >"-("& ('

+*,+*'*&-*) 92 ."+(Y"&-/6 5*">*-+(%/6 >"-("&3 4- ;"66"#' -./- %."+)' "& -.* '/>*

."+(Y"&-/6 6(&* "; B(5:+* T /+* +*6/-*) 92 -+/&',"'(-("&= -.* -", *)5* "; -.* ;(5:+*? ;"+

*X/>,6*? %"&-/(&' :&('"&'D-#" &"-* %."+)' (& #.(%. 9"-. F"(%*' ./F* -.* '/>* ,(-%.

%6/''3 Z&('"&' %/& /6'" 9* ;":&) "& -.* 9"--"> *)5* "; -.* ;(5:+*? #(-. -#" "; -.*>D[M? M\ /&) [B"? B"\D/,,*/+(&5 "& 9"-. *)5*'3 LM."+)' "& -.* +(5.- '()* "; -.* ;(5:+*/+* *&%6"'*) (& 9+/%@*-'? (&)(%/-(&5 -./- -.*2 /6'" /,,*/+ "& -.* 6*;- '()*3P E.*'*

):,6(%/-("&' /+* )(;;*+*&- +*,+*'*&-/-("&' "; -.* '/>* %."+)? /+-(;/%-' "; -.* )"">*)

/--*>,- -" )*,(%- / ]^9(:' '-+(, (& -#" O:%6()*/& )(>*&'("&'3


51/91

CDf

CC

CD

CEf

CE

CF

CFs

CG

CAf

CA

CBf

CB

[CC]

CsCs

CsD

CsDs

CsE

DfF

DfGf

CsG

DfAf

CsA

DfBf

[CsB]

BCs

BD

BDs

BE

BF

BFs

BG

BGs

BA

BAs

BB

DD

DEf

DE

DF

DFs

DG

DAf

DA

[DBf]

BfD

BfEf

BfE

BfF

BfGf

BfG

BfAf

BfA

BfBf

EfEf

DsE

EfF

EfGf

EfG

EfAf

[EfA]AEf

AE

AF

AFs

AG

AGs

AA

EE

EF

EFs

EG

[EGs]

GsE

AfF

AfGf

AfG

AfAf

FF

FGf

[FG]

GF

GFs

GG

[FsFs]

FsFs

unison

tritone

unison

minor second

minor second

major second

major second

minor third

minor third

major third

major third

perfect fourth

perfect fourth

!"#$%& ()"#$%&$'( )*$+, -./)(0 "*( 1(2' (,3( 4- 5316(,7 '$ '*( +43*'8 #4'* / '#4-'0

"*( $'*(+ 4&'(+9/1- /+( /1-$ 2$6&, $& *$+4:$&'/1 14&( -(3;(&'-8 $&( 4& '*( '$. */12

$2 '*( 2436+( /&, $&( 4& '*( /;.1(8 '*( *$+4:$&'/1 14&(%-(3;(&' ?6-'


52/91

!"#$% '()!"#$%# '(")*+,)

-./0)1$ 23 456267#*+,- ./ 0"1%*$213, 435!21+

8$(9: 3 4;.%)>#*.9=%)"./$#* ? @*)"")/ A%.*$#*:B7 .00> $) 8$(9: 5 4C:/.#>>./*:7. /:D >:$ )E >A:*#E#*.99( !"#$%&'(%19:> .;)1$ DF#*F *F)%0> *./ E)99)D DF#*F )$F:%*F)%0>G H)% $F#> %:.>)/I 8$(9: 3 #> >.#0 $) #/J)9J: @)*&(+'%&", !"#$%&./B 'F: $:%"

#"A9#:> $F.$ :.*F *F)%0 F.> #$> )D/ A.%$#*19.% E1/*$#)/I )% %)9:G

$6 #789:;6 'F: "1>#* D#99 ;: #/ :#$F:% $F: ".K)% )% "#/)% ")0:G L/ $F: ".K)% ")0:I 1>:$%#.0> ;:9)/M#/M $) . >#/M9: 0#.$)/#* >*.9:G L/ "#/)% ")0:I !"#$%&'( $'&%##> $F: 0:E.19$

>*.9:N O:9)0#* "#/)% D#99 ;: 1>:0 )/9( $) .J)#0 $F: F.%")/#* "#/)% >*.9:P> .1M":/$:0

>:*)/0G

$$6 5


53/91

i VI iv ii vii6 V

S D

to VI, IV6, oriv6

to i6

"#$ %&' ()* %+,)* -$. %/0+1 +0 $00$,2+&33. 2#$ 0&%$4 5)2$ 2#&2 6$ 2.'+1&33. /0$ 2#$

2*+&70 1)**$0'),7+,8 2) 2#$ !"#$%&'( $'&%#01&3$4 !"#$%&'%#()*+ (-% $%.%#(- $/0)%

1%23%% 45)) 0)40*$ #%%1 (" 6% 305$%1 6* $%75("#% 45(- 0# 0//51%#(0)8 5)2$ &30) 2#&22#$ ++ 1#)*7 +0 ,)6 7+%+,+0#$79 5( /0# (-%3%:"3% 0;;%03 "#)* 5# :53$( 5#.%3$5"# 6#+1# +0 &?)/2 26+1$ &0 3+-$3.

&0 (+*02 +,@$*0+),4 A)6$@$*> 2#$ ++ 1#)*7 B+, ?)2# %&:)* &,7 %+,)*C 2.'+1&33. &''$&*0 +,(+*02 +,@$*0+), *&2#$* 2#&, *))2 ')0+2+),4 "#$ @+ 1#)*7 &''$&*0 "#)*+, *))2 ')0+2+),D @+E+0

?&0+1&33. /,/0$74 "#+0 %$&,0 2#&2 ),3. ),$ 2*+&7 1&, &''$&* &?)@$ 01&3$ 7$8*$$0 F> G> H>&,7 I4

J 2),&3 '#*&0$ 1),0+020 +, & ,/%?$* )( 1.13$0 2#*)/8# 2#$ &?)@$ 8*&'#04 K&1# 1.13$

1*$&2$0 +,1*$&0+,8 2$,0+),D 2#$ 02&?3$ 2),+1 3$&70 2) 2#$ B/,02&?3$ &,7 2$,0$C 7)%+,&,21#)*70> &,7 2#$, ?&1- &8&+,4F =)%')0$*0 2#$*$()*$ (&1$ & '*)?3$%D #)6 7) .)/ -$$'

2#$0$ 1.13$0 (*)% 0)/,7+,8 *$'$2+2+@$ &,7 ?)*+,8L A)6 7) .)/ %&-$ 2#$ $,7 )( 2#$

'#*&0$ 0)/,7 1),13/0+@$> 6#+3$ &@)+7+,8 '*$%&2/*$ 1),13/0+@$,$00 7/*+,8 2#$ $&*3+$* ),$ )(2$, /0$0 '&*+#,'%&,2) 6$&-$, 2#$ ()*1$ )( 2#$$&*3+$* 6+2# +20 Q/?:$12M ()*%+,8 & '#*&0$> 1&, ?$ 1)%'&*$7 2) & '&*&8*&'#> 6#+1# +0 &0$*+$0 )( K,83+0# 3&,8/&8$ 0$,2$,1$04


54/91

!"#$%&'(##)* '#(,,&'(# -./(,", ,""0 1$ 2(## &31$ 14$ 5/$(% '(1"6$/&",7 !"#$%&'4.&'.

/&," 1$ ( .&6. -$&31 (3% 1."3 2(##* 8,8(##) 1$ 1." 2&/,1 ,'(#" %"6/""* (3% (%%)*&'4.&'.

5"6&3 (1 ( .&6. -$&31 (3% 1."3 2(## 1$ 1." 2&/,1 ,'(#" %"6/""9

!" $%& '&()*+, -.+&" :3 283'1&$3(# .(/0$3&' 08,&'* 1." #"(%&36 1$3" &, ( ;"/) ('1&;"

1$3" 1.(1


55/91

!"#$"%&&'#(

*+,-#".

!"#$"%&&'#(

*+'(#".

/,+% 0#++%(1&

!"#$%& "(%) $(

)*+#" %",-"" ./

0"-1"*2 +324"(25**+%"(*"

6!7 6!5 +324"(25*

*+%"(*"

!"#$%& "(%) $(

)8%8 9 $- :/

5!0"-1"*2+324"(25* *+%"(*"

5!6

;!$-" -+-"#&/

5

55=>!6?

4+#1 *+%"(*"7!6

;!$-" -+-"#&/

76!6 $-

55>!6?

5!6 04-&,5+(

*+%"(*"

)$3(%)

5(*$!0#"2"@*$!!+ -+24"-

24+( 0"-5$%

6!

G+%"(*") +-" #5A" !3)5*+# 03(*23+25$( !+-A)8 H4" +324"(25* *+%"(*" ;6!7? 5) + 0"-5$%8

H4" 4+#1I*+%"(*"J D45*4 "(%) $( 6J 5) + *$!!+J )5(*" 52 )$3(%) 5(*$!0#"2"8 ;7( !5($-J

24" 4+#1 *+%"(*" 5!6 5) *+##"% + 04-&,5+( *+%"(*"8? H4" %"*"025


56/91

!"#$%&'( *'+&$,-. +/& 0$&',1,-*$! 0*+/ !"# 2/"%& *+ %+*.& 34 5&0&-5,-. "- /"6 +/& 7*%%

',-& 5&8&'"0%9"# $%&'( &))(% *+&,(- '+ .+ /&'0 '0( +1'(% '/+# :"# 1*! (,-5 !"#$%&'( *'+&$,-. +/&

7*%% ',-&4 "$ +/& /*$1"-,2 0$".$&%%,"-4 +" &-%#$& %1""+/ ,--&$ 8",2&%9 ;%#*''!4 /"6&8&$4

!"# 2*- 1*


57/91

"#$%& '()!"#$%&' )* +,-)-.

/01'21 340%567%

!828 19 " 9'"'19'15": ;15'&28 %< '=8 >"5= 5=%2":89 "#$ '=8 ?%6"2' @1"#% A%#"'"9B C%2 >"5=D E 9'&$18$ '=8

"5= 0"S%2 ?%6"2' 0"S%2

"

#$ %#%&'

"

(##%

"

$)(*%

"

*+,#-.

"

*+/+-%0

1 *) "& !& !& %

)) ' &% $' ) ))

))) % )%% % % %

12 + $% !& )( %

2 &* (* !& & $(

/) & '" " ) )!

/)) & "% &' )) )!

1 /) 12 )) /)) 2 )))

1 , " )" )& " $! %/) ' , )* "! * !) %12 "% % , )' )% !) %)) ) ) ) , )+ (( %

/)) +! % ) % , )$ %2 '* * ) % ) , %))) $( && % % % % ,

1 /) 12 )) /)) 2 )))1 , ' !+ )" $ *) )/) )! , )) &% ' && "12 !! ! , )& !& &' %)) ) ) % , !" () %

/)) ') & ! % , * )2 +! ' ( ) % , %))) & &! "! & & $ ,


58/91

!!!" $%& '()* +(+,-./ %./'(012 232-&) 4+/(5/&))1(0) )*./*105 .06 &06105 71*% *%& *(0128

"#$% &'(#)*

+,'-.// /0#)1 #2'-* 3453 #16 3477 $%')68 /#*0)9:

5;3;5 ?5;77;5!;3;5 >=@5;A77B;5 C5;53;5 >5;77;3;5 D>5;53;5!;3;5 ?D5;A7;77;3;5 ?C5;3453;53;5 >E5;53;3;5 >=5;3453;53;A77B;5


59/91

!"#$% '()

!"#$%# '(")*+,)

-./0)1$ 23 456267

*+, %-.,/*$-0 $89 ()1 ,/):; $ ")$#)/D7 '= %=E.?1.$#)/ )F $)/.? E.?1=9M #$ #9 .

#'))*%"%&$)/#* $%#.0 $ )/ A=.$ UD

S Q/ ./( 9$%)/> =#> )/ . :=., =#>


60/91

!"#$%%&' %")* $ +,+-*#+".#' /0* 1!20.34 +0.,%4 5* !"#!$"#%& 6+ 7"/0 +*8*#/0 20.34+' /0*

3,%*+ $3* $ %"//%* 9.3* :%*;"5%* /0$# "# /0* 2$+* .: /0* +,+-*#+".#< =*3* /0* 5$+"2 "4*$ "+

/0$/ &., +0.,%4 $--3.$20 /0* 3../ $#4 /0"34 .: /0* 20.34 5& +/*- .3 5& 2.99.# /.#*' $#4

#./ 5& %*$- @7"/0 3$"+*4 %*$4"#H /.#*C $#4 "/ "+ -3*2*4*4 5& "8 .3 ""D?


61/91

MUSIC 105

Dmitri Tymoczko

Handout 16 (2010)

APPLIED DOMINANTS

Consider the following chord progressions:

Whats new about these progressions is that we can no longer attribute all the chords to asingle key. The A7in progression (a) belongs to d minor, but the progression as a whole

belongs to C major. Likewise, the C7in progression (b) belongs to F, but the progression

as a whole is in the key of Bfminor.

These chords are called appliedor secondarydominants. Any major or minor triad in a

key can be preceded by its own dominant chord. It is as if the music shifts key for a very

brief time, making a subsidiary triad into a temporary tonic. (This is called

tonicization: the above examples tonicize D minor and F major, respectively.) Another

way to describe the phenomenon is that a dominant chord is borrowed from a closely

related key. The result of a secondary dominant is to create a hierarchically nested series

of tonalities: the local tonality (D minor in the first example) is embedded in a larger

tonality (C major, in this case). This is similar to the way an English clause can be

embedded in a larger clause: the boy who got bitten last week kicked the dog.

Secondary dominants add a lot of musical color, and help create a strong sense of

harmonic motion. It is possible to overuse them. But classical (and jazz) harmony

typically makes very frequent use of applied dominant chords. In fact, V7/V is one of

Beethovens favorite chordsit appears about as often as ii or IV.

Here are some basic principles governing the use of these chords.

1. The borrowed chord is usually always a dominant seventh chord. Borrowing a

major triad is less common the added dissonance of the seventh chord makes it want to

lead to the next chord all the more strongly. (In rock music, however, it is quite typical to

borrow a major triad rather than a seventh chord.) It is also possible to borrow a leading

tone triad (vii6) or seventh chord.


62/91

2. Normal voice-leading rules apply to the borrowed dominant chord as if you had

changed key. You cannot double the leading tone of the applied dominant. You

should resolve the borrowed chords tendency tones normally. (But see the exception

listed as point 8 below.) You should also spell the chord correctly, as dominant of the

chord to which it resolves.

3. The applied dominant almost always resolves to the appropriate temporary

tonic chord, but it can occasionally participate in a deceptive progression, moving up by

step. For example, you might find V/vi moving to IV (aka VI/iv) rather than vi.

4.Beware the cross-relation! A cross-relation is a clash between two different

forms of a single note in consecutive chords in different registers. (Refer back to the

Style 1 handout!) In the first example below, the sopranos high Efconflicts with thebass Enin the next chord. This was felt to be an undesirable sort of dissonance. In (b)there is no cross relation, even though the high Efstill contrasts with the low En. Thereason is because the high Efis supported by a low Efin the bass. The bass Ef

neutralizes the cross-relation since it moves to En in the same register, and keeps us fromnoticing the sharp dissonance between soprano and bass.

Cross-relations are not always bad. Classical composers sometimes used them to add

expressive bite, or pungent dissonance, to their harmony. You should probably avoid

them however, unless its really clear that you know what youre doing.

5. In root position, dont move from an unaltered version of a chord to the

borrowed version of the chord. A lot of students tend to write banal progressions like (a)

below. This is not very stylistic. The progression from ii to V/V sounds clunky and

obvious. Here it would be better just to move from I to V/V.

(a) (b)

Note that the progression in (b) is OK. This is because the dramatic change in the bass

tones adds a lot of energy to the progression. For the same reason, you can move from I

to V2/IV, since there is a powerful change of bass in the progression.


63/91

6. You cannot apply a dominant seventh chord to a diminished or augmented

triad, since these triads cannot serve as tonics, even temporary ones.1 This means you

cannot use V/vii in major, V/iiin minor, or V/vii in minor. In minor, it is also unusual

to use secondary dominants of the chords involving the raised sixth scale degree: V/ii and

V/IV.

Here are the normal chords which can support applied dominants.

MAJOR MINOR

ii -

iii III (note that V/III is just VII)

IV iv

V V or v

vi VI

- VII (i.e. the major chord based on the naturalseventh degree)

7. When a secondary dominant moves to another dominant seventh chord, the

leading tone often does notresolve by step. Instead, it becomes the seventhof the

following chord, as in the following progression:

Sometimes one finds long chains of applied dominants, as in the Mozartian chord

progression below. Here, the leading tone is always lowered semitonally, creating a

descending chromatic line.

C B7 E7 A7 D7 G7 C

I V7/V/V/V/V V7/V/V/V V7/V/V V7/V V7 I

8. The V#/V chord can come either before or after a I@. In the progressionV#/V!I@!V, the I@is inserted between the V#and its resolution. In the progression

I@!V#/V!V, the V#/V is inserted between I@and its resolution. Both of these work.

9. Occasionally an applied chord will be preceded by its own predominant, as in

the progressions I!iv6/ii!V7/ii!ii!V7!I.

1There is, so far as I know, only one possible exception in the Bach chorales: chorale 89,mm. 5.


64/91

!"#$% '()!"#$%# '(")*+,)

-./0)1$ 23 456267

!*+",-.$*/ $/ 0"/%.$*/-,,1 .*/-, !"#$%

8/ $9: ;:/.# *.0:/*:< )/ A.%#)1( 7 $) )/: )K $9:

/)$:< #/ $9: :C L1*9 ")01>.$#)/< .%: )K$:/ *.>>:0 ($'346(",+")01>.$#)/


65/91

!!" $%&'() *+,-./)%+01" "#$% $&'(% )'*(+$%,'-. %#$% /01(,/0 (. %' $** $ 2+$%3

4'/ ,-.%$-506 .(77'.0 8 9$-% %' )'*(+$%0 2/') : )$;'/ %' 4 )$;'/3 '% 5#'/*. $/0 +0.. 5'))'-? @#,. ,. &05$(.0 %#0 7/0*'),-$-%

5#'/*. ,- %#0 -09 A0B *' !"#&0+'-C %' %#0 '+* A0BD #0-50 ,% ,. #$/*0/ %' 2,-* $ 7,>'%

5#'/* %#$% +0$*. -$%(/$++B %' %#0 EF,- %#0 -09 A0B?

G0/0 90 (.0 $- 0>0- .,)7+0/ .'+(%,'-H 90 .,)7+B )'>0 2/') %#0 %'-,5 *,/05%+B %'

EF,- %#0 -09 A0B? 4'/ 0I$)7+06 %' )'*(+$%0 2/') 8 %' 8E6 ;(.% $** $ .0>0-%# %' %#0 8

5#'/*6 5'->0/%,-C ,% ,-%' %#0 EF'2 8E?

2 345 2 !"

6 27 6

: )$;'/H 8 >,,JK

4 )$;'/H E !"

8 EF 8

L'%0 %#$% ,- %#,. 7/'C/0..,'-6 %#0/0 ,. -' 7,>'% 5#'/*? MC$,-6 %#,. ,. &05$(.0 ,, $-* 8E ,- 4

)$;'/ NO ),-'/ $-* P!)$;'/Q *' -'% &0+'-C %' : )$;'/?

@#0 /0)$/A. ,- %#0 7/050*,-C 7$/$C/$7# $+.' $77+B %' )'*(+$%,'-. 2/') , %' ,> ,-

),-'/R7,>'% 5#'/*. $/0 -'% $+9$B. (.0* ,- %#0.0 5$.0.?

( 345 2 !"

8 27 8

: ),-'/H , >,,JK

4 ),-'/H E !"

, EF ,

S,),+$/+B6 9#0- )'*(+$%,-C 2/') 8 %' ,, ,- )$;'/6 '-0 '2%0- *,.70-.0. 9,%# %#0

7,>'% 5#'/*H

2 9 !"

, 97 ,

: )$;'/H 8

= ),-'/H E !"

, EF ,

L'%0 %#$% '-0 -0>0/ )'*(+$%0. %' %#0 .(70/%'-,5 ,- ),-'/6 .,-50 %#0 .%$-*$/* ),-'/ ,,

5#'/* ,. *,),-,.#0*6 $-* 5$--'% &0 %#0 %'-,5 '2 0,%#0/ $ )$;'/ '/ ),-'/ A0B?

T'( 5$- (.0 %#,. .%/$%0CB 9#0- )'*(+$%,-C %' $-B A0B 9#$%.'0>0/H 0>0- %#'(C#

%#0/0 ,. $ 7,>'% 5#'/* $>$,+$&+06 B'( *' -'% $+9$B. #$>0 %' (.0 ,%? @#(. 5')7'.0/. '2%0-)'*(+$%0 %' %#0 *'),-$-% &B C',-C *,/05%+B %' EF'2 %#0 -09 A0B6 &B7$..,-C %#0 7,>'%?

!!!" :)/0,/&, *+,-./)+&; &+-)'1" U'.% %'-$+ 7,050. 2'++'9 $ /0$.'-$&+B

.%$-*$/* )'*(+$%'/B 7$%%0/-? 8- )$;'/6 %#0 2,/.% )'*(+$%'/B *0.%,-$%,'- ,. $+)'.% $+9$B.

%#0 *'),-$-% A0B? M2%0/ %#$%6 '-0 5$- 2,-* $ >$/,0%B '2 ),-'/ A0B.? @#0 .(&*'),-$-%

%0-*. %' $770$/ -0$/ %#0 0-* '2 %#0 7,0506 $. 90 7/07$/0 %' /0%(/- %' %#0 %'-,5? 8- ),-'/6


66/91

!"# %&'(! )*+,-.!*'/ +#(!&0.!&*0 &( .-)*(! .-1./( !"# '#-.!&2# ).3*'4 56*)#!&)#( *0# 7.0

)*+,-.!# !* !"# )&0*' +*)&0.0! &0(!#.+8 *0# .-)*(! 0#2#' )*+,-.!#( !* !"# ).3*'

+*)&0.0!49 :( &0 )&0*'; !"# (,>#.' 0#.' !"# #0+ *% !"# >#4

?:@ABC

!"#$%%$%# '$()* +", -"./%0 +", 1*2"( +",) 3"%45*$67*" +",

8/9*$/%75:

;%0

D E && 5*' 2&9 2.'&*,( DE D

?DFABC

!"#$%%$%# '$()* +", -"./%0 +", 1*2"( +",) 3"%45*$67*" +",

8/9*$/%75:

;%0

& DDD 5*' 29 EDD; &2; ED 2.'&*,( &2 &

?/%$.$@7*$/% /A ( !* *!"#' =#/(; *%!#0 3,(! YHZ 7"*'+(

-*0K8 U)*+,-.!&*0X &)>-( . -*0K#' (!./ &0 !"# 0#1 =#/4 [*, ("*,-+ !'/ !* ).(!#' !"#

!#7"0&\,# *% (1&!7"&0K


67/91

!"# %&''&( )*+&, -.&/01# "#$# %$# &'# ()*& +)((), -./)& +')$0*1 2)$ &'# ()*&

+)((), ()034%&)$5 0#*&.,%&.),* ., (%6)$ %,0 (.,)$7 8, 9#,#$%41 &'# :#*& -./)& +')$0*

%$# -$#0)(.,%,& +')$0* ;.. )$ 8


68/91

!"#$% '()!"#$%# '(")*+,)

-./0)1$ 23 456267

#*+,- ./ %,0##$%0, 1-+23045 !"#$%

8$(9: ;< ()1=99 >: ?.@@( $) 9:.%/< .00A /) /:B ?.%")/#* )% C)#*:D9:.0#/E %19:A $)

$?)A: )F 8$(9: GH '?: 0#FF:%:/*:A 9#: :9A:B?:%:I #/A$%1":/$.$#)/< %?($?"< $:J$1%:< ./0

:J@%:AA#C: #/$:/$H K#%A$< B:=99 >: B%#$#/E ,:(>).%0 %.$?:% $?./ C)*.9 "1A#*H 8:*)/0< $?#A

A$(9: ".,:A . A#E/#F#*./$ 0#A$#/*$#)/ >:$B::/ $?: !"#$%&'C)#*: ./0 $?: .**)"@./#":/$.9

C)#*:AH 4L/ 8$(9: G C)*.9 "1A#*< C)#*:A .%: *9)A:% $) >:#/E :M1.9H L/ 8$(9: ;< $?: $)@ C)#*:

@%:0)"#/.$:A )C:% $?: )$?:%AH7 '?#%0< B:=99 >: B%#$#/E 0%.".$#* "1A#* $?.$ C.91:A

A#E/#F#*./$ *?./E:A #/ $:J$1%: ./0 "))0H N( *)/$%.A$< 8$(9: G "1A#* 4#/0::0 N.%)M1:

"1A#* E:/:%.99(7 C.91:A *)/A#A$:/*( )C:% 0%.".$#* *?./E:H

$6 4789:;6 '?: "1A#* A?)190 >: B%#$$:/ )/ $B) A$.C:A F)% . /)%".9< $B)D?./0:0< 26D

F#/E:%:0 @#./#A$H '?: %#E?$ ?./0 @9.(A $?: ":9)0(< ./0 $(@#*.99( %./E:A F%)" O; $) .>)1$

OP< )% :C:/ KPH 4*?@A 8?B=7>>A ?CCDEF:; G


69/91

!"# %&''&()*+ ,"-!".)/ 012!'#!-3 #)+"! 24, 5",40#0 /4* #)!"#, /46#*/# )* 24, 7 &, &* !"#

%),0! 2#4! &% 24, 89 &:#,'455)*+ ()!" !"# 0!4,! &% !"# *#;! 5",40#&*# .#'&6)/ :&)/#9

4 2400 ')*#9 4*6 4* )**#, :&)/# (")/" 5'4-0 )* !"# 04.# ,"-!". 40 #)!"#, .#'&6- &, 2400


71/91

"#$% &'()*+, %-$%*,./% 0,% #1 2#$./%,3 4+/% 5'6%5%) $78%% 2#$./%, 7%8%9 :9 ;9

'*) ; ., ' ?'8$ #1 K !"

@ #1 L 2'M#8=

!""# %&' ()*+, -+*.+&//0*1/# #8 I*%.B76#8.*BJ@ !"G7#8),= 4* $D# #1 $7% %-'2?5%, #* $7., 7'*)#0$9

&'()* 0,%, $7% ?8#B8%,,.#* 4O 4K !"O49 0,0'55( '$ $7% ,$'8$ #1 ' ?78',%= &%8% $7% < ,$'(,

1.-%) ', ' I?%)'5 $#*%J .* $7% 6',,= A7% G7#8) ., ,#2%$.2%, G'55%) ' "#$%&'()$"% !"

G7#8)9 ,.*G% $7% E '*) $7% : 'G$ 5.C% *%.B76#8, $# $7% L '*) $7% P= H#0 G'* 0,% $7.,

?8#B8%,,.#* .* G5',,.G'5O,$(5% C%(6#'8) 20,.G= H#0 '5,# G#22#*5( ,%% KO4 !"OK=

>'@ +@ N'8'55%5 $7.8), D.$7 $7% 2%5#)(= K%8( #1$%*9 G5',,.G'5 20,.G %2?5#(, ?'8'55%5

$7.8), #8 ,.-$7, 0*)%8*%'$7 $7% 2%5#)(= R#2%$.2%, $7%,% ?'8'55%5 G7#8), G'* 6% B./%* '

7'82#*.G .*$%8?8%$'$.#*9 60$ $7., ., *#$ '5D'(, $7% G',%= H#0 2.B7$9 1#8 %-'2?5%9 ,%% PLO

E:OPLOUEO

)@ A7% *#$'$.#* I:[J .*).G'$%, ' /'8.%) 1#82 #1 :=@ : G5',,.G ?%8.#)\

? j j

j j

.J

j j j j

. j

>'@ A7% ,%*$%*G%= A7% ,%*$%*G% 6%B.*, D.$7 ' $D#O6'8 .)%' >:@= A7., $D# 6'8 .)%'

., $7%* %.$7%8 8%?%'$%) %-'G$5(9 #8 ,$'$%) .* /'8.%) 1#82 >:[@= A7% 8%2'.*)%8 #1 $7% ?78',%

G#*$'.*, G#*$8',$.*B 2'$%8.'5 $7'$ 5%'), $# ' G')%*G%= A7%8%1#8% $7% ?78',% 7', '* ::[;


72/91

!"#$%"$#&' )!$*++, "-& . */0 .1 !&%"23/! *#& "43 5&*!$#&! +3/6 42"- "-& 7 8-#*!& +*!"2/6

93$# 5&*!$#&!' :34&;< !35&"25&! "-& 7 !&%"23/ 2! +3/6'

=-& 53!" %3553/ -*#53/2% 8*""/ 93# * !&/"&/%& 2! .> ? @ A< .1> A @ ?'

:34&;< "-& *#& 5*/,< 5*/, 3"- 83!!2B2+2"2&!'

? j . . j . . j . ?

. J

. . . .

C!D =-2/E 39 * %+*!!2%*+ FGB*# 8-#*!& *! -*;2/6 93$# HGB*# $/2"!< .7IJ' =-& 92/*+

"43 B*#! $!$*++, 93#5 * %*0&/%&< */0 -&/%& 42++ /3" ",82%*++, %3/"*2/ 5$%- "-&5*"2%

5*"*+' K34 29 ,3$ 4*/" ,3$# 8-#*!& "3 -*;& !35& !3#" 39 $/2",< 2" 5*E&! !&/!& 93# "43

39 "-& #&5*2/2/6 "-#&& B*#! "3 -*;& !35& "-&5*"2% %3//&%"23/' ?/ "-& 8< "-&

#&+*"23/!-28 2! B&"4&&/ "-& 92#!" */0 "-2#0 $/2"!< 62;2/6 .7.1J' ?/ "-& 8< 2" 2!

B&"4&&/ "-& 92#!" */0 !&%3/0 $/2"! 62;2/6 ..1IJ' L2/%& ,3$ %*/M" 8$" */ .1 2/ "-& 93$#"-

83!2"23/ C!2/%& "-& J 2! #&!&0 93# 6&/% %*0&/"2*+ 5*"*+D< "-&M! 3/+, 3/& 53#&

83!!2B2+2",> .771J' N3# * 6330 &O*58+&< +33E *" "-& 92#!" &26-" B*#! 39 "-& 92#!" &O*58+&

3/ ,3$# :*,0/ P#3$/0&0 B2/*#,Q -*/03$"< 4-& B*#! RGS #&+*"& "3 B*#! TGU' =-2! 8-#*!&

",8& -*! /3 /*5&< B$" 2" 5*E&! 8&%"+, 6330 !&/!&< */0 *#2!&! 3$" 39 "-& !*5& 8#2/%28+&!"-*" 62;& #2!& "3 "-& B&""GE/34/ 8 */0 !&/"&/%&'

C"D =-& 8-#*!& &O"&/!23/' I+*!!2%*+ %3583!! 4& "#2%E!"!' =-&, +3;&0

!&""2/6 $8 &O8&%"*"23/!< 3/+, "3 "-4*#" "-&5V . %3553/ 4*, "3 03 "-2! 2! "3 +&*0 "-&

+2!"&/ "3 &O8&%" * !"#3/6 %*0&/%&< */0 "-&/ "3 &;*0& "-& !"#3/6 %*0&/%& !35&-34>)?./( Y&)@19 /)%9:Z [ $A9A /)%9: %;.% 0) /)% D9>)/@ %) %;9 *;)&0< ./0 (9% 0) /)% D9>)/@ %) ./

.**9E%90 /)/C;.)/$* %)/9 *.%9@)&(A

4 C: I V7 I VV$/*9 ?9 .&9 ?&$%$/@ %;9 F$&:% E;&.:9 )F . E9&$)0< ?9 ?./% )1& #9>)0( %) 9/0 )/ :*.>9

09@&99 5 )& \A ';.% ?.(< ?;9/ %;9 :9*)/0 E;&.:9 9/0: )/ :*.>9 09@&99 2< $% ?$>> :)1/0

>$,9 $% ;.: Y./:?9&90Z %;9 YQ19:%$)/Z E):90 D( %;9 F$&:% ;.>FA

2

X% &9.>>( $: ;9>EF1> %) %;$/, )F ()1&:9>F .: %&($/@ %) ?&$%9 D.0 "#$ $%&'()**>.::$*.> #1:$*A ';9 &9.:)/ $:%;.% $%M: 9.:( %) @9% )=9&?;9>#90 D( %;9 @&9.%/9:: )F @&9.% *>.::$*.> #1:$*< ./0 %) F99> %;.% ()1 ;.=9 %)

?&$%9 :)#9%;$/@ )=9&?;9>#$/@>( @&9.% $/ )&09& F)& $% %) *)1/% .: Y*>.::$*.> #1:$*Z .% .>>A ';$: $:/M% %&19A ]

>)% )F *>.::$*.> #1:$* $: D./.>< %&$%9< ./0 D)&$/@A +,'- '- $,. /#-'( $,)$ 0.12. $2%'34 $5 02'$.6$/ E.&% D9*.1:9

$% ?$>> 9/.D>9 %) :99 ?;( @&9.% *>.::$*.> #1:$* $: @&9.%A ^( ?&$%$/@ D)&$/@"#$ $%&'()**>.::$*.> #1:$*< ?9

*./ >9.&/ %;9 *)/=9/%$)/: )F %;9 :%(>9A ^( >9.&/$/@ %;9 *)/=9/%$)/: )F %;9 :%(>9< ?9 *./ :99 ;)? %;9 @&9.%

*)#E):9&: 09=$.%90 F&)# %;9#A

V)#9 )F ()1 #.( D9 .#D$%$)1:< ./0 #.( .:E$&9 %) ?&$%9 @&9.% #1:$* ()1&:9>=9:A ';$: $: . @))0

%;$/@A ^1% $% $: 1/&9.>$:%$* %) 9KE9*% ()1&:9>F %) ?&$%9 @))0 *>.::$*.> #1:$* .F%9& )/>( N )& P #)/%;: )F

:%10(A I>.::$*.> #1:$* $: >$,9 _.%$/ [ . >./@1.@9 %;.% $: /) >)/@9& :E),9/ $/ 9=9&(0.( >$F9A X% ?$>> %.,9

(9.&: F)& ()1 %) D9*)#9 F>19/% $/ %;$: >./@1.@9A X/ %;9 #9./%$#9< 0)/M% >9% ()1& .#D$%$)/: %) D9 @&9.%

E&9=9/% ()1 F&)# D9$/@ .09Q1.%9`5X/*>10$/@ %;9 :1@@9:%$)/ %;.% ()1 ?&$%9 %;9 #9>)0( F)& #9.:1&9: 2CP D9F)&9 GCaA


84/91

!"#$ &' "#$% &'()*()+ ,-#.& -#&' /01#23 ,)2 ',4/#)3% &43 5(+.40 #.& '#$ 6',)+0

&'0 0)2 #5 &'0 5(47& 89/0,7.40 :'4,70 7# &',& (& 6#)61.207 #) &'0 )(6;


85/91

?

C: I V4 I6 I V I V4 I6 ii6 V I

3 3

!" $"% &$'()*&% +"&) (,)-.() /")01 "# $%&'()*+%&, -.#/' .01)*&2 '32 0%1() 3%&4.#()$&.5&211(.# 67'2$ 89 .& '32 :.()2;+2%-(#5 '3%' ? @(5*&%'(.# (1 '32

()(#5 .# '32 )%=2? A.#/' +2' (' -(1'&%)' B&.4 '32 )%=2 ('12+B?

C.* #.D 3%:2 % $2&B2)'+< #.&4%+, '


86/91

!"#$% '()!"#$%# '(")*+,)

-./0)1$ 23 423536

*+, -+./0$12#

'78)%#9$9 .:%88 $7.$ $)/.; "19#* $8/09 $) ")01;.$8 ?1$ =7#*7 ,8(9 .%8 $7898@ ./0 7)= *./ =8 A#91.;#+8 $78 %8;.$#)/97#B9 .")/:

$78"C '7898 D189$#)/9 $1%/ )1$ $)

$3 #45678 9:;77? 8@

OP #E ()1 =./$ $) $%./9B)98 . B.99.:8 )E "19#* #/$) . /8= ,8(@ =7.$ $%./9B)9#$#)/

".,89 $78 ")9$ 98/98C

MP $%./9B)9#$#)/


87/91


88/91

F

F F

F

C

G

e

D

b

A

A

E

B/Cf

Fs/Gf

ds/ef

fs bf/as

Cs/Df

Cs/Df

Af

gs/af

Ef

c

f

Bf

a cs

g

d

"#$ %&'($ )*%+,%- .%/ &$ 01$203 #$,$4 567 8%1 */($/7$)9 -',$ ', 3$119 &: ;4 ?@?4A B%C', D$:1 %,$ ,$E,$1$/7$) &: .%E*7%3 3$77$,19 -*/', D$:1 &: 1-%33 3$77$,14

F'0 1#'03) *-%+*/$ 7#%7 7#$ 7'E $)+$ *1 +30$) 7' 7#$ &'77'- $)+$G %/) 7#$ 3$27 $)+$ *1

+30$) 7' 7#$ ,*+#74 5H017 3*D$ 7#$ '3) (*)$' +%-$ IJ17$,'*)14KA B'(*/+ %3'/+ 7#$ .*,.3$ '2

2*27#1 .',,$1E'/)1 7' -'(*/+ %3'/+ 7#$ LMNOP )*%+'/%3 3*/$14 "#01 8$ .%/ -'($)*%+'/%33: 2,'- ; 7' Q 7' < 7' R 7' JG 8$ 7#$/ C0-E 2,'- 7#$ 7'E '2 7#$ )*%+,%- 7' 7#$

&'77'- 5,$-$-&$,9 7#$:S,$ +30$) 7'+$7#$,TA9 E,'.$$)*/+ '/8%,) 2,'- J 7' P 7' U9 $7.4

B$%/8#*3$9 8#$/ 8$ -'($ %3'/+ 7#$ LPNOM )*%+'/%39 8$ -'($ &$78$$/ -%C', %/)

-*/', D$:19 %37$,/%7*/+ &$78$$/ 7#$ E%,%33$3 %/) ,$3%7*($ ,$3%7*'/1#*E4 ;', $V%-E3$W 2,'-

P -%C', 8$ -'($ OM 7' P -*/',9 *71 E%,%33$3 -*/',9 %/) 7#$/ 7' < -%C',9 7#$ ,$3%7*($

-%C', '2 P -*/',9 7#$/ < -*/', 5E%,%33$3 '2 < -%C',A9 7#$/ 58,%EE*/+ %,'0/) 2,'- 3$27 7'

,*+#7TA 7' U!-%C',9 $7.4

67 *1 01$203 7' E3'7 E*$.$1 '2 -01*. %1 7#$: -'($ %,'0/) '/ 7#*1 +,%E#4 U$3'89

6S($ .#%,7$) 7#$ 2*,17 1*V -')03%7*'/1 2'0/) */ 7#$ U%.# R -%C', E,$30)$ 2,'- U''D 6 '2

7#$ !"## %"&'"(") *#+,-"(4 "#$1$ -')03%7*'/1 &$+*/ %/) $/) */ R -%C',9 E%11*/+

7#,'0+# % 1$,*$1 '2 */7$,-$)*%7$ D$:14 L$$ *2 :'0 .%/ $V7,%.7 2,'- 7#*1 +$'-$7,*.%3

)$E*.7*'/ 1'-$ 01$203 */2',-%7*'/ %&'07 #'8 U%.# -'($1 2,'- D$: 7' D$:4 R'$1 #$ 3*D$

%/: E%,7*.03%, E%77$,/1X J,$ 7#$,$ %/: )*22$,$/.$1 &$78$$/ 7#$ &$+*//*/+ '2 7#$ C'0,/$:

%/) 7#$ $/)X

F

F F

F

C

G

e

D

b

A

A

E

B/Cf

Fs/Gf

ds/ef

fs

Cs/Df

Cs/Df

gs/af

Ef

c

f

Bf

a cs

g

d 1

2

3

4

5

6

bf/as

Af


89/91

!"# "%&'( )(*+&,- .(/0((, 1'*)(1# "# $%& %$'(%))* +, % )-'')# .##/#0 '1%& '1-23

,& '1# /0#$#.-&+ +0%/124 '1# 5#*2 ,6 7 8-&,0 %&. 9 8-&,0 %0# #:(-.-2'%&' 60,8 ; 8%#?#04 ># $%&&,' #2'%@)-21 % 8-&,0 5#* >-'1,(' -&'0,.($-&+ % )#%.-&+ ', A0,8 '1-2

/,-&' ,6 ?-#>4 -'B2 0#%2,&%@)# ', >,&.#0 >1#'1#0 ; 8%1#0#%2 ', +#' ', '1# D

E

,6 9 8-&,0 *,( #. '>, F7!%&. A!G3 H,0#,?#04 '1# '10## 6,082 ,6 '1# 7 8-&,0 2$%)# ,& %?#0%+# 21%0# 8,0# &,'#2

>-'1 '1,2# ,6 ; 8%, 5#*2 %0# $),2# -6 '1#-0 %22,$-%'#. 2$%)#2 $%& @# )-&5#.

@* 28%)) ?,-$# )#%.-&+ 8,'-,&23 A(0'1#08,0#4 '1-2 8-+1' )#%. (2 ', >,&.#0 1,> >#

8-+1' ?-2(%)-N# '1# 2-&+)#O2#8-', ?,-$# )#%.-&+2 @#'>##& %)) '1# 6%8-)-%0 2#?#& &,'#

2$%)#23 K' '(0&2 ,(' '1%' -' '%5#2 '10## .-8#&2-,&2 ', ., -'P M1# .-%+0%8 ,& '1# Q' /%+#

-))(2'0%'#23 K'B2 ?#0* 1%0. ', .0%> '1# 6()) .-%+0%8 ,& % '>,O.-8#&2-,&%) /-#$# ,6 /%/#04

2, KB?# 21,>& ,&)* %& #Q$#0/' ,6 '1# 6()) 2'0($'(0#3

K' -2 >,0'1 '%5-&+ % )-'')# '-8# ', #Q/),0# '1-2 .-%+0%83 M1# $-0$)# ,6 6-6'12 N-+N%+2

'10,(+1 '1# 6-+(0#4 2'%0'-&+ %' '1# ),>#0 )#6' >-'1 ; 8%


90/91

!"#$%& ()& *&(+,-% +$& %#.(-&/ %,0!& ()& 1$+2) $&2$&%&0(% *,%(+0!&% .&(3&&0 !"#$%!&3),!)

0&&* (" .& !"04&$(&* ,0(" *,%(+0!&% .&(3&&0 5&6%7 8"$ 9"$& ,0:"$9+(,"0 +."#( )"3 (" *"

(),%/ !"0%,*&$ (+5,01 96 +*4+0!&* ()&"$6 !-+%%;

Cmaj

/A nm

AHM

Ahm

Amm

Fs mmFsmaj/Ds nm

FsHMFs hm

EHMEmaj/Cs m Bmaj

/Gsnm

Amaj/Fsnm

Bmm

Gmaj

/Enm

E hm

Dmaj

/Bnm

Dmm

Dhm

EmmBHM

Bhm

maj= major

nm = natural minor

mm= melodic minor

HM = harmonic major

hm = harmonic minor

GGs

s

CCs

AAs

FF

s

DD

s

!" $%&'(')*&)(+ ,%+- ,&.&+('&/0"


91/91

!" $%&'( )$(*+, %$"-. /0+12 1+ 0+1"3 %&' +-/' 4($2'++'+ 5'66121'"% 7$12' .'-*1"3

8'%)''" - +/-.. "0/8'( $6 +1/1.-( /0+12-. $89'2%+: $" %)$ *166'('"% %1/' +2-.'+;

Mus 105 Handouts

Documents

Transcript of Mus 105 Handouts