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Page 1: Durham E-Theses Rhythmic structure in music: a study of

Durham E-Theses

Rhythmic structure in music: a study of the perception

of metrical and phrase structure, from a mechanistic

viewpoint

Fraser, George Robert Mackie

How to cite:

Fraser, George Robert Mackie (1982) Rhythmic structure in music: a study of the perception of metrical

and phrase structure, from a mechanistic viewpoint, Durham theses, Durham University. Available atDurham E-Theses Online: http://etheses.dur.ac.uk/7393/

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Page 2: Durham E-Theses Rhythmic structure in music: a study of

Academic Support O�ce, Durham University, University O�ce, Old Elvet, Durham DH1 3HPe-mail: [email protected] Tel: +44 0191 334 6107

http://etheses.dur.ac.uk

2

Page 3: Durham E-Theses Rhythmic structure in music: a study of

RHYTHMIC STRUCTURE IN MUSIC: A STUDY OF THE PERCEPTION OF

METRICAL AND PHRASE STRUCTURE, FROM A MECHANISTIC VIEWPOINT

by_

George Robert Mackie Fraser

Thesis submitted to the Faculty of Music in the University of Durham

for the Degree of Doctor of Philosophy

1982

I·n Two Volumes

VOLUME T W 0

The copyright of this thesis rests with the author.

No quotation from it should be published without

his prior written consent and information derived

from it should be acknowledged.

22. MAY NS4

,....

Page 4: Durham E-Theses Rhythmic structure in music: a study of

ii

CONTENTS

VOLUME TWO: EXAMPLES

List of Abbreviations and Symbols iii

Introduction: Exs. l-2 l

Chapter 1: Exs. l/l-l/18 2

chapter 2: Exs. 2/l-2 /66 7

chapter 3 A: Exs. 3/l-3/89 19

B: Exs. 3/90-3 /144 37

C: Exs. ~145-3/189 52

D: Exs. 3 /190-3/218 65

Chapter 4 A: Exs. 4/l-4/75 75

B: Exs. 4/76-4/118 90

C: Exs. 4/119-4/137 102 i-----

D: Exs. 4/138-4/173.1 107

E: Exs. 4/174-4/190 117

chapter 5 A: Exs. 5/l-5/16 122

B: Exs. 5/17-5/38 126

Conclusion: Exs. 5/38-5/40 136

Page 5: Durham E-Theses Rhythmic structure in music: a study of

iii

LIST OF ABBREVIATIONS AND SYMBOLS

B Bass Accentuation

DC Duration Contour

DP Duration Phrase

d-r Dissonance and Resolution

Estd Pre-established Metre

HR Ha:r:monic Rhythm

I Interpreted structure

LN Longer-note Accompaniment

M Metre

MC Metrical Contour

p-p Pitch Unity

PS Pitch se~aration

R Repetition

s

T

t

Tr

x:

Subdivision (of metrical unit or phraselength)

Beam altered by Separation Rule 1,2,5

Structurally accented Tonic

Tonic

Transferred phrase grouping

Structural groupings on this level produced by x, until otherwise indicated

X. ri Structural grouping created or positioned by x

~ End of phrase grouping

~ Tonic Accent

> Dynamic Accent

~ Tied note or articulated slur

Staccato and non legato

~ 'gives way to' (of progressive closure)

.() 'J Directional Grouping

55 Congruent with

~ Incongruent with

> Stronger than (and incongruent with)

< Weaker than (and incongruent with)

f' -·1 Subsidiary structural grouping

r-- i Projected or anticipated structural I I '

group~ng

....... -r-

1 I I

u

n

Beam reflecting separation and continuation

Beam re fleeting separation

Structural rest, tied note, subconscious metrical accent

Dual branch

Shared time point - two voices

Shared branch (and subtree)

r-- ------

Page 6: Durham E-Theses Rhythmic structure in music: a study of

1

EX.~: Schubert,Impromptu in C minor,Op.90/l

c.

Ex.2

~-- -- ----

Page 7: Durham E-Theses Rhythmic structure in music: a study of

2

a.. b. c.

4 I - • • • • -• • • - ... • I I I .... I 0 I I 0 0

0 I 0 0 I I -I

Ex.l/2: Chopin,Nocturne in F~,op.l5/2

.~;- r (6- -s>

------J j J J . ....._...

·~ 3

J ... r

Ex.l/3: Mozart,The Marriage of Figaro,Act I,'Nbn so piu'

!'I ,........... ·-.l -= •

l'l I ' I '-"

J !) tY ., . .. I

I '-"" ) I

: '--• •

:r

• r ==-- pj

r I , Jl

JiA:J !----- ----------

Page 8: Durham E-Theses Rhythmic structure in music: a study of

3

Ex.l/4: Palestrina,Missa Papae Marcelli,Oredo

" " " s 7 8

" ~

{ .J -I ur 0

1":\ ~-& ,..,

Ex.l/5: Beethoven,Sonata in J!' minor,Op.2/l,I

Ex.l/6: Bach,Musical Offering1 Theme;Trio Sonata,IF

I~ I'> ~

v I

y..,.;,.q;,. tl ~,..., __..... I-" . __ .;,. . .. -~ ~ :::::: -

•It) - ... -I -

. . . -:-----....

Page 9: Durham E-Theses Rhythmic structure in music: a study of

4

Bx.l/7: Beethoven,Sonata in D,Op.l0/3,1

p

.a..

b. '----------l1--------......J .._ ______ _JL__ t:.

~ ~--------------------------------------

Ex.l/8: Beethoven,Violin Concerto,III

.i JIJ f ;!_# )IJJ 8JIJ J ~ JL~-qf11 P L : .;z, 11 !2.. rLULiJJr ! 4 r

I I I I I

r· r r· r· r· io.- --

Ex.l/9

Page 10: Durham E-Theses Rhythmic structure in music: a study of

5

E:x:.l/ll

t -' T

Cit l> l>lt F Fft st A B

c e s B~>c

:lx.l/12

0:

(4- 2 ' 2 4 )

' ( 2 2) '(2 2) 'A:

~&b: 2 ;z" f's 2 --- v~ I E = 2

' c . ..--------.. r-----,-----. r-------,

t:~:c:r J:.r;r:r J:[;r;r ~~r;r:J . rn.nB.

0.'----------J

Page 11: Durham E-Theses Rhythmic structure in music: a study of

6

Ex.l/13

~---------,;.. 1\ . /\,__ ___ _

Ex.l/H

J = >100

Ex.l/15

Ex.l/16

>-- - - --- ----

Ex:.l/17 Ex.l/18

c

F#

I

Page 12: Durham E-Theses Rhythmic structure in music: a study of

7

Ex.2/l: Bach,'4B',I,Prelude No.1

Ex.2/2: Bach, 148' ,I,Prelude No .• I)

~)'~>

rrr rrrrrr 1---.-------------

Ex.2/4

> >

J J J J J J

. Ex.2/5: Bach, '48' ,II,Fugue No,9

r r r r r nJ J 1

Page 13: Durham E-Theses Rhythmic structure in music: a study of

8

E%.

216

13':ltfir. Err riftnr ; F Ptr b r J'r fhrrd~ J r.l ~ J t tr 'Bc-..c/...: h. 1 I 2 I ::s I + I s

Ex.2/7

1

ll u I+

:~

Ja J n J~ /J /.LJ .. z --- n. J J

-- I

ll u !+ I l I I

~

.. ®~jJ! J s ~ r r I I I ~ I I L.J I r· CI I I I I I I I . I

:

I i r. r I i

Ex.2/8: Bach,'4B',II,Fugue Nb.lO

I I I I I I I I 11' "In J w s J 1 J n s w J J J r?r CJ r tJ fi3 r J rlJ tin pg r

X. X. X y 'f y- f

f.------

Ex:.2/9: Beethoven, sonata in F ,op.l0/2,I Ex. 2/10

1-----~ > r.l--,

,____. 1. 3 .i. 3

c r '=Y r ....__. .1,3 .1 3

.11:.2/11 Ex.2/12

~ c 1 r· w c i c 1 f· m c 7 ,____, ~

.1.3 .1. 2. 1.3 i 2.

~ c 1 r· '=" r· i' ,. c 1 r- ~ r· "I ~· t--.J '---'

13 1. 7 1.3 1.7

4- 3 + 3 1 7 7 5 ~ { iz 8 ~ .8

Page 14: Durham E-Theses Rhythmic structure in music: a study of

Ex.2/l3

Ex.2/l8

Ja..2/21J

.a..

i J.

~{ r· ~ j'

Ex.2/2l

9

Ex.2/14

I ---1 1 1 i 1

r c c ~ c

FJ..2/l7

Ex.2/19

---

b. ' rn J J. :i J. r

r· ~{i ~ j'

F=lh F; h It J J J J I J J J J

---

J n1J. r

j'

Ex.2/22: British National Anthem

·~ ··~ ·- ~ 1 f fib r r r 1 J. c r 1 r r r 1 r r r I r r J 1 r· 1

Ex.2/l5

I (h 1 1

! r rl

1-- -~---------

Page 15: Durham E-Theses Rhythmic structure in music: a study of

1 0

Ex.2/23: Haydn,Quartet,op.33/3,IV

II .. • •• .;. .;.· . t) j r.=!:!l~

1\ ;. · .. I

e.l

' ~ :: ==

:; ~~ 1- vII-VII- v ~~~~

1-- '-'II- '-'II- '""'II VI I '-' II '-' - I

Ex.2/24: Ohopin,Prelude in c minor,Op.2B/20

d::c.

h.2/25

~ ~ -- --

C"~C"~t! v v

4- 4- 8

lb:.2/25: Beethoven,Symphony No.9,II

MDlh ,;V,·l<? ! I I I I I I lt>liF" ; J 1 r r r 1 r r ~~ f ; J 1 r r r 1 r r r ': 1 r 1 J 1 r r r 1 r rTJ @ 'Rc:t...., c{~ t.... 't>l:l:uce.

E:E..2/27: Bach, 10 Haupt voll blut und Wunden'

Page 16: Durham E-Theses Rhythmic structure in music: a study of

1 1

Ex.2/28: Sohubert,Piano Trio in B~ 10p.99,I

1/Li<:Jr-c ~ckndc ~ ,.--....._ .- -- ....... --=-- ~ 'll r!:l ......_ --.. (NO €! --.... --::--,. --l(

~Iii t r t \!r r 1r r ur IE ,.np f rr1r,rr 1 t~ r 1f tr1rrrr n1~H 'l'"'''v 1" ""'''v 1 ,v, - ""•', v 1 "!IV-:-""''" T"IIV ; 6jalJ it:-::=~ '1" v I ~ A~ 1 -!. w Jt -; ,!, I t /...!

..., ~ v -v

FJ..2/29

Ex.2/30: Dvo~~,Piano Conoerto,II

Ex.2/31

: _,.- ___ ,.i I 1 I .. ,. I I 1 I

'~.t "

Ex.2/32

: , .... ----., I I .- A : • . T I I

,_} .....

Ex.2/33: Beethoven, Minuet in G

Ex.2/34

~) rl Cil'-) * I rl rl '3.1 3.13.13.1 g

f&·lcr u or 1r ,bt J i:.--1 .

(il~> (1j:Z)* I I

<+> <f> c+> <t) : l ri~ r+~' rl~ ri('*) 31313131 ~

t..:rc.:.:r~r.:..:rr ~ '---' ~ ~

*

Page 17: Durham E-Theses Rhythmic structure in music: a study of

1 2

EX.2/35: Tchaikovsky,Symphony N0.4,I

Ex.2/36: Mendelssohn,Symphony No.4,I

b. ~·

~fi v-. t 1 f.uti 1 Cs

lb:.2/37

1- ......... 11 " .... 11= ..., -.;u::::;-6. r u r u r u r .d:c.. ~~~

~---- ---------

.b:.2/38

h.2/39

Page 18: Durham E-Theses Rhythmic structure in music: a study of

E%.2/40: Mozart,Sonata in A,K.~3l,I

r-r 3 1 2.

I* I r--~----, r-r 4 R.

1 3

f) ill! -- -=- ~I l

.., .L -~ r r p

~ t -~~ ~l ~-~~ -~ .b J .b J 11

J .. -d.~ -~ -

: ! :i J ,_ +-==±=-t-=.:==t~ t=r:+·

-y

" " 1Z

r r r Ex.2/41

lb:.2/42

Ex.2/43

Ex.2/44

E

Elc.2/45 a: Bchumann,Piano Conoerto,I

.. II

:

R.I.----~-1~-· -----~h. h(:) 4-311 rll+3rtl ..-...... __, I ·, .. .........

...__. r:L-..- " J..-N

.I .1. ~ ...-... ... '.f:~ ... !.e.-

j, I { .-.. I - I I ..

·~ 1--.;;;:;..Y

"R""Rre.F·.,... p-p =?".t<l..~ d.-..r :: )>f.i&...,....ae. +o..uei.uf:.o"

'R=~t-o•"' J.r,--= l>is:r<>"'*"U.+~(.,~-

Page 19: Durham E-Theses Rhythmic structure in music: a study of

b: Braluns,Piano Concerto N:> .1,I 1 4

Rr-------------------------------~

l~--------.h

Ex.B/46: Beathoven,Symphony N0.1,I

u -

.A ~ ru ~

ltJ -· i'.:J •. i.]" I?'~~~~~,~ I":' -& ~ L t::::t:bf r tl lr"

_1 I I i ' ~-----------

: I

Ex.2/47: Bach, 1 48' ,I,Fugue No.2

(116) ~b)

T~)~ 11~2 2112.2 2.11Z211+ 11 1

Page 20: Durham E-Theses Rhythmic structure in music: a study of

1 5

Ex.2/48: Mozart,Sonata in D,K.284,I

f

~rJ ]:J ~----~*~----------------------------------------------~ f~ ll,.

l lti J@

lP)

Ex.2/49

~ 1:1 :J tip

-~ ~,......,

~?i =~-- -~ l'r qr .~ I I

p

... (p)

:] ~r ~ 1§## f F C f r [ 5 E I J J J J I

4 1 ~~~-- 'I" ~I' r I~.~.-. (anbetont) 2 ~f~r ~f.·~ ~ , :...;,.;,.;

--- -< -====-··-~-< 1 -1 -

11 ---;-- •111 • 1•1• .~~j • 1

• • 11

1 ( 1/ 8 Auftu.kt.) 2~~~f"'~ ~;r'' 1_•1

~ u If:~~ r-;~(·~: If'~~; r' u '" ('/•llf,J Auft.tl<l)

: f' ;r I ~-~,i f01 ~·~ ~r C '" l'l• Auttaktl

~ ~m I f-nr~"f7'~ I ~;rr" ('f,[1,JAurt .. kt)

4 ~ I ~-Iii 0•1 ~• 111 (&111 Auftakt)

2 ~ff'f'r w ~·-·' .....!

4 --~- ~__:: I ~-,.,'I'~ I ;-,. "' ('/ol'l,] Anftakt) iiUL!!J w I..J' I I..J

--=----- -·-:-.-=::::.:=::::= 4 -, ----;-T 1·1 • '• • • .~. 1 • 1n (ahLetont). 2 r:.:.: :.t_L· I ~ ..:_ ~ I v

*

T f

-·-

~--------- ----

Page 21: Durham E-Theses Rhythmic structure in music: a study of

1 6

Ex.2/51

= .. .J J J anbetont (beginning-accented)

-:::::::::: ::::::==-J J J inbetont (middle-accented)

:: J J J abbetont (end-accented)

Ex.2/52

c::::: c:::::: 4.. CIU 1C UIICIC:tr U" (p.1o4-)

> > > > c:::: = < == --b. r1c·r c "r1c·r ~II (p.~)

Ex.2/5~

==-4 utrrlc.rtrrl (p.17o)

Ex.Z/54

c-- -----

Ex.2/55: Sohubert,Symphony Nb.5,II

, r f r 1 r r t .,

v I I '

Page 22: Durham E-Theses Rhythmic structure in music: a study of

r

1 7

Ex.2/56: Beethoven,Sonata in A,Op.2/2,III

h.2/57

Ex:.2/56

Ex.2/59

Rx.2/60

Ex.. 2/62

p I

. . . . . . . . . .

.a...

b.

. ..... . . . . .

1-;-'-JJ 1-r\.JI lj_ 0 I

rt

J J '"

_,

h J J ,- 0,

Ex.2/6l

~ J J .J

.a.. .

b.

!6 -vi

. . . ..

h I

JJJ 1.::-l:!J ..... -

h I n J ~ (, I

.... . .

I

J ~,

I J "''

>--~--~---~---

Page 23: Durham E-Theses Rhythmic structure in music: a study of

1 8

Ex.2/63: Brahms,Symphony Nb.3,III

P,.," .flu.,._, 3 i 12

~~6b~ fi I i I Jir;

Ex.2/64

I • [:r-=I~J____,JJ [a:J L~:] ~

Ex.2/65: Beethoven,Violin Conoerto,III

Ex.2/66

U!......=J In ==I~· t= - Cl ~ 1'-' -1 L::i=;___:=::..;=::JIIV -1 L.f --=-=---___::V:;_.j) I - '-' I I : ;; I I V -r

L! ~~------~=~--~ILl~------~..,----~ v

[~;' ,.

I* r:vJ

IS I 18

j1b I 9

~

!--~-

Page 24: Durham E-Theses Rhythmic structure in music: a study of

Ex.3/l: Mendelssohn,Symphony No.4,~ 1 9

3

{ 1\ 3

; -

J® ~

JL ,

J '*:i:41-* •7+++~"J."'+:n:i. * =i:~~~ i7:l~ .... -:r ... :J;~'<!7.;~"J•"t+ .. ~~

., ..... + + y

Ex.3/2: Brahms,Symphony No.l,lV

Ex.3/3: BartOk,Musio for Strings,Peroussion.and Celesta,III r----

1.1.1 I illlliiiJJJIIIIIIlll J tl.l. } r r u ~~'hi ff! t §gJJ f:.k! u i r

Page 25: Durham E-Theses Rhythmic structure in music: a study of

.Ex.3/4

r-3-. ..-3......, ,--3..._, r-3

~. J J J J J J J

b.

c.

.d..

Ex.3/5

.Ex.3/6

FiE.. 5/7

Ex.5/8

z ~ 2 '

..r--; .r-=3 r1 r 31.31313

.n.n.nr. 7 1 7

J 1

~J 0 f

)(

')<

)(.

X.

4-

I@ J

)( . + I

1 7

'X

)(

X

3

J.

')(.

3

1 7

-kJ 0 f

X

X

)(.

X

X. X 1 " ;J. ~

xx.

t}

2 0

>- ------------

X

X

X

X

)<. ><.. )( )(. )(. )(

X X X )( X X 2. 2 2. 2. t 8

J J J J J n

,)(..x..x..x.x..x 2. 2. 2 :l.l/i I I I I I I

Page 26: Durham E-Theses Rhythmic structure in music: a study of

21

Ex.3/9: Chopin,Sonata in B minor,I

Ji(("J"' "'oes£ .. SG

l@ttic§f@ J J liJ 1 J tr rJJr l ElF y

>llti<.X >t • • • • • • • >< • • • l( • • • X • • • • • X. x • ><.X • x. ~· .. • •.. X· • · • • ~·X

11118 + 4- " 2.22228 " 2.10

LLW I II I 1111111 L1 Ex.3/l0: Baoh, 148',II,Fugue No.l4

X· X. X ·X ...•. )t)t~ .•..• )( .l( •.••. xxx ·X· X· .•.... )( a 2.. 2. b I I b 2 b I I 2. 2 8 (8)

11,11 t y ~ I Ex:.3/ll: Brahms,Symphony Eb.l,IV

X X X

X X X )( X X X X X X X.. X X X )( X

x. X xx. . X X X X X X

+ 3 1 6 z 2 z 2 ~ 8 j) u 2) ~ I &)

.1")

Ex.3/12: Stravinslcy,The Rite of Sprins, 'Evocation of the Ancestors' (adapted)

X X X X X X

X XX X X £ X X.XXXXX .)(X.XX X XXXX.XXXX

~ W JJJJJ:J JJJJ JJJJJJ~JJJ JJJJJW !!EJ z 1 l 1 1 1 2. 1 I 1 1 1 1 1 t .3---· 1 1 1 1 2.

!I) 5) 7)

1o.l

I l \ \ t t J 1 I

EX.3/l3: Beethoven,Piano Conoerto N0.5,III

X X X

X X X X X X :1.) X • X . X X .

~? ..... , ---''--~---' xxxxx ..... ·~~1 I I I I I.

I I I I J

X

X

>t >,q< .

X

X

X

>f~~·

X

X X X

u B) ~--------~L----------------------------------------1

'~ - --------

Page 27: Durham E-Theses Rhythmic structure in music: a study of

:1.> g) +I Ill t6)

2 2

Ex.5/l.4: Ohopin,&>nata in B minor,I

' I I I I I

JX.3/15: Berlioz,Overture,'Le Carnival Romain'

L...J

~"-""'-·J·:t{;t. .

fli F"IFlJ!rl ELI t E 1 rrr r c 1 ttr r s 1 r c r c 1 ¥3 ~JJ P J J n s IS.

K ·~ K X )C )( 'K

X X ~ X >C ~ ~ .~ X ~ K * ;· ·~· ·ft· · · · ·· ·~· ·_g· ·r'Z · ·;· · · ·· · ·~· · · · · ·~· ·n· · -~· ·n

J-1 u u IJ u I.J ·'-' l I

h.S/17: Wq:ner,aotterdiimmerung,J'uneral Music

:11:.5/18: Schwnann,Piam Oonoerto,I

~ 8)

!----

Page 28: Durham E-Theses Rhythmic structure in music: a study of

1)

f3 ~f)

23

Ex.3/19: Berlioz,Romeo and Juliet,III

X

1;¥~ J. 1 n¥ a& n 1 J. 1 nn !iuml;. J.J; "n _ffll: w nJ lp 12 2. 2. 1!. 1!. ..3 1 1a 2. 2 2 2. 3 1 " " [Jdr::l .. rrL

x X ~ .3 1 11 1:.. 2.4 ~ + 2.. 2. z 2. 4-

X ~ X X

~ X ~ X ~ ~ >( ~ ~ X .)(xXXX. X .)CX.,XX.)C' )( )C X .)(XXXX X><X)(>t )( ••• , • ~ , . , , • X, JC. X. X • X •• XX, • , , • , , • ,. , • X. X • X • X • X· , J/....J(. , • , • .)( ••• , , )(. , )t X. X X. X.)(, X • J(, • , X. X. )(.X. x

1R a. ~ 2.. 1:. 3 t tl( 2 2. .e 2. 3 .1 b " 3 f 11 2. 2. 2 2. 4- Z. 2. 2. Z 4-u L..J L..l..l....l

I I I I I L..-J

I II I I II I I l L.__j

Ex.3/20: Sohumann,Piano Oonoerto,I

" .J.--~ J J I J J I I I -_eJ r -r r I I "!'~ 1-e-:..:.-w

b .. .g _..- J ....... , :

I I loooool

Jx.3/21: Berlioz,Romeo and J"uliet,III

BX.3/22: Baoh,'489 ,II,Fugue NO.l4

X X )(. X X. X )(

l<XX>< >< X>< X.XX X

I I I I I

~- ~ -~-z, ..... ·.n~ ..... [· ~- ... ·.u~ -~· 8 ...... •8 ~) I I I I u...J l-J U-1~ ~ ~-----~>

1---~-----

Page 29: Durham E-Theses Rhythmic structure in music: a study of

Ex.3/23:-Baoh.'48 1 ,I,Fugue No.8

X x X. X. X X X ~ X X X.. X •. X.XX XXX., X. X •• X.X.. X 2 3 1tHH. :t "3 1a 3

24

1~ .__, u...w...uLLJ ui..-J b)

~'** J J. n1 n J J ;. ; ; J. 2. 3 1 11 I 12.2 3 1 :l. 3

Ex.3/24: Baoh, 1 48',I,Fugue No.l4

19: t#* r r e dr r E r dr f ~r ~ r t r r t; E" Z2811+t1113 1!1114-,

Ex.3/25: Haydn, Symphony NG.lOl ('Clock') ,II

X ~ ~ X ~ X. ~ X X X X ~ X X. •••••• XX ••• >< •• ><.X ••• xx><.xX •••••• X X •• X. X .e.tc..

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~

7 1. + 3 1

Ex.3/26: Chopin,Sonata in B minor,III

~0

l~*itJi¥ e ;1 I r 3 1 8

Ex.3/27: Brabms,Piano Concerto NO.l,I

>( ~ X )( ~ X X >< ~~ X X x •. x><.x.x.x.>o<.xx><. •• x.x><.><.><.XXKXX •• xx.xxx.x.>e~><.><.xx.xxx.x. x.xxx .• xxx~xxxxx.x,. 3 t1tf1U113 tf1i11t113 11111111111111fll.l!. 113 i11H11113 I',,,,,,,, ]Jilllltii lltltlllllllllll LU I 111111111

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25 Ex.3/28: Mozart,Piano Trio in Bi>,K.502,II

2. ~ z 5 1 1 1 1 1 1 1 3 i a. ~ 1111 5

Ex.3/29: Mozart,Symphony N:>.40,K.550,I -

.Ex.3/30

b. "R ~:-_-_-..::.·_-_-_·.,·- ~-~---·"} ··-----·--: ~

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Ex.3/3l: Baoh,'48',I,Fugue No.l5 h h h h I I h- fri n---, h h

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1) 2) .f-)11

Ex.3/32: Mozart,Violin Oonoerto,K.219,I

X .>(

)( X

X )( )(

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X

X X X X X i.?.. 3 LJ

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26

h.3/33: Handel,Tolomeo, 'Ibn lo diro col labbro' r .. - - - . - - ... - - - - .. - - .. - - -·"

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lhll Fi--~ 2.·11 £2 z4 2. :~.11 z2. 2.4

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X ){ X X ~ X t X X X. >< ~· 2. 1 1 2. 2. 2. 2. 1 1 z. 2. 2.

1) L...L..J L.LJ 2.) I I

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Ex.3/34: Wagner,Die Meistersinger,Prelude

l ~ r-h hi=l h rs=i ~ rh h h h t=hl 4 3 1 5 1 1 1 z 2. 1.. 2 l 3 1 1 I 4- 3 1 5 1 1 1 1 1 1 1 2. 1 1 1 1 1 1 Z

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h Fil J • J el , J.

Ex.3/38

Wl--tWL-JWU L.....---..1 '------lL......J

Cl) J. 1 n ;. 1 J h. (i) J. JT.J J. J. L__J .__ _ __, L----1

A 3/+ A r..fB

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2 7

Ex.3/40: Bernstein,West Side Story,'Amerioa'

... tTl ~~ t---r ,______,I ln h-, 111111 ;<_ :2 z •li1111 2.

~1i-1~~m-F -¢::*~ o J==twm---m ~ ' r

Ex.3/41: Baoh,'48'I,Fugue No.3

Ex.3/42i Beethoven,Symphony N0.5,III

.......----, r--"""\ ,..----, ,------, r---1 r----1 r------1 r----1

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Ex.3/43: Mozart,Serenade ('Eine Kleine Naohtmusik'),K.525,III

h=T h-·-R* -h*Ol

*tf i r 1 r t r 1 f t 1 r r r 1 r r r r r r 1 t i f 1 f t r, r r r 1 r '---' 1.--..1 L-.-..1

- ·- . .... .

Ex.3/44

rcrrrrcrrr

Ex.3/45: Mozart,Symphony N0,25 in G minor,K.l83,I

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1~ $tc s r r r c 1 c r r r c 1 c r r r s 11; J J J 1 1 ttJ1

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2 8

Ex.3/46

I

Ex.3/47

A. b.

Ex.3/48: 'Auld Lang Syne•

~-----

Ex.3/49: Chopin,Prelude in E minor,Op. 28/4

I

I :-: :-1 h t • : I I I .. --- - .._,

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Ex.3/50: Musical Cliche

rl ~ 1 1 ' + ' + r u r r } r r

Page 34: Durham E-Theses Rhythmic structure in music: a study of

29

Ex.3/51: Baoh, '48' ,I ,Fugue No.14

Ex.3/52

A. S.Joplin,The Entertainer

b.

1 1 1 1 2 f-1 1 1 1 5

A ..... ~ 4 4-JJt':~ + .. ~

{· I

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-.Ex.3/53 .0..., l __ __....~.---- -·--- --

b. ----~A A_ -------- _-l----- --

Ex. 3/54: Bartok ,Mikroko smo s , H:> .153

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3 .3 z

h. d;c...

3

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Page 35: Durham E-Theses Rhythmic structure in music: a study of

.Ex.3/55: Baoh,Clavier Concerto in D minor,I 3 0

~Hi:§] 11 J r 11l.rj lJi- AA ~ 0 P~Q ~ ~ • ~ I ~ .jl. ...

1 1 z. ~:J.. ~ 4- .._ .<. 11 ~ H A.1 1 !1.. 4 11 .:< 4- 11 ~ 4- i 1 i 1 i 1 1 4-) I __ l _ --L. .. l..._.i_- _ L _ ---..l,.___~

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Ex.3/56 r· r ,r--1 ~ iJ;l ;tt:re 1' U! jl~Qsp

b. e- I I ie .f I I I I I:. 4- I I I I Z. 4- I I I

Ex.3/57: Gries,Sonata in 0 minor (Violin and Piano),Op.45,I

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l'l' w.of.to . J! ~~ ~t

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.Ex.3/58: Beethoven,Symphony No.3 ('Eroioa')I

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hhl hi=1111 r==l

b. ,,., ®I'Gfl1f I @fFift1\l ~ i I J

Page 36: Durham E-Theses Rhythmic structure in music: a study of

3 1

Ex.3/59: Brahms,Symphony Ii:l.l.,IV •h-1 ~. :I h: Ill SI;....C:(e..

(1!.) 4- 1 !(2.) 4 1 1 (Z.)

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@) ~ si..tfe _.fl._ ~ .~ .,. ... .L~ ~

I : . :fl•

Ex.3/61: Baoh, 148'I,Fugue No.6

M....t.t..~.G. ((,jl Fi Fi I

;I j il J '*~ J J J J J ('t:.r)

J fflf ' .2 2. ~ 2 5 i I I

i) 2.)

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Ex.3/62: 1Marse1l.laise'

' r ...

L------1~----~----- -L-- ----

I r I r I r I "'-ee.

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Page 37: Durham E-Theses Rhythmic structure in music: a study of

3 2

Ex.3/63:fBrahms,Rhapsody,op.79/l !Grieg,Peer Gynt,'Ase's Death'

Ex.3/64: Bach,Brandenburg Concerto No.3,I

Ex.3/65 Ex.3/66 h.3/67

h 1 r r I

Ex.3/68

Ex.3/69

.I J .J j 1 2. 1 <?..

~ r r

L.....J.- .l. __ L_.J_- .: •••

Ex.3/70: Sohubert,Symphon:y No. 9,III

t~<'hhh J. :CA. '7[, 1 f 1 f 1 1 ~ 2. ;it 1 1 1 1 1 1 b

I~ JJJJJJ] JJ JJJJJJ J.

Ex.3/?l: Wagner,Tannhauser,'Pilirims' Chorus'

.- .. -~ r---, i f r

X X >(

0 0 0

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Page 38: Durham E-Theses Rhythmic structure in music: a study of

3 3

Ex.3/72: Wagner,Parsifal,Prelude

R [rl I

i ii..il.

.Ex.3/73

-I

Ex. 3/74: Haydn, Sym;phony No. 101 ('Clock'},:{:

.a..

b.

Ex.3/75: Mozart,Symphony No. 40 ,X:.550 ,IV

[f:e=--,

1 n n 2. 2.2..2.2.

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Page 39: Durham E-Theses Rhythmic structure in music: a study of

Ex.3/?5 ctd. 34

JC.

h.---+----.~ h ~ 2.11 11111111"

(•I <~~ I ~ (hh 1 1 1 1 1 1 i 1 b

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Ex.3/76: Beethoven,Piano Concerto N0.3,III

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Ex.3/78: Hsydn,Sympbony Nb. 101 ('Clook'),I

Page 40: Durham E-Theses Rhythmic structure in music: a study of

Ex.3/?9 35

a: Dvoi'hlc,Symphony No.B,II b: Dvol'hlc,Symphony No.8 1 III

Ex.3/00: Beethoven,&>nata in 0 minor,Op.lO/l,III

:m~Si~O ~ (~) ~~ ~~1 1 4

;: n ; "1

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Ex.3/82

b. 3:

G. 4:

d.. 5:

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1:

8:

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L 1o:

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6.

rFnl 1+3 1111><

hi 5 .o-t' n m ~ (2.+.3]

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~ 3+(?.x3) 111111111 )(

X>1

ffih I s 1111 1 X LM~J

~ l.t.x3 111111 X

rlT1 Fri m I 1+(3J<J) 1111111111X

j 11 : ~ 1-tZ+~~<(:Qc2.)) 1111f111111X

r-r-FT"i JTr "1-n I t?> :s) 11 1 j 1 i 11 111 X ;!.+ X

Page 41: Durham E-Theses Rhythmic structure in music: a study of

36

Ex.3/83: Bach,'48',I,Fugue No.5

-n... 11111111717 1 '7 171 ~ 8'

L

b.

Ex.3/84

:Z.. 1 I ~ t.. <.. 10

b. i£41 1 m j. 1 ; ¥ .;(',! ~"''L-}

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A.

Ex.3/85: Mozart,Sonata in F,K.332,I

Allegro

~-g;g@ 1 r~LJ (51 1 rr r ~

Ex.3/86

..1 ..1 .1 n J .1 ..J n .1 .1 ~c_. t- V .J! L.........J 1- V VJ L-.._1

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Ex.3/87: Bach, '48' ,I,Fugue No.2

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~~1·"' WE:/EJtC11Wt::fcrr ~~~ 'bb& J SF J -1

Ex.3/8B: Bach,Organ Chorale, 'Wachet Auf'

Page 42: Durham E-Theses Rhythmic structure in music: a study of

Ex.3/90

Ex.3/9l

a: Beethoven,Symphony Nb.o,I

~il'l>P

Z1tz.z.

.0.. 1@ ~ ru CJ

3 ·7

:r II = x ... ee.~p..e.t.ed. strud;o ..... l J"""f'~

s r-J = Svl>d.;,M,o" (".f lowu-&.....1.. fwe :J«>"fli.J ..t<.) 'J>P = )>u...OO" pi-.se-

d: Beethoven,aonata,op.llO ,II

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J..ij ~%tJ J J I ~ 41J J I J J I JJ , J I r r I r J I 2 J I J I e: Scbumann,carnaval,'Davidsbundler'

1l.'~FF?l~R~lef1 h (*~)~~hR.'~ h f'~ h ~~t h h ili.bi>

. 21 12. 2.11 2. 2.112. 2.1111 2112 2112.2.1111 '

~.l~e# ~ J et r I r at J I J R J I J fJ 1J I ;; 0 r l r Etr J I J A ,J J I J. I r: Haydn,Symphony No.l04,IV ~*

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Ex.3/92

hIll 11~22

Ex.3/93

Page 43: Durham E-Theses Rhythmic structure in music: a study of

3 8 .Ex.3/94: Chopin, Waltz in Eb,Op.lS

Ex.3/95: Beethoven,Sonata in F minor,Op.2/l,I

16

Ex.3/96

a: MendeJ.ssohn,Symphony No.3,IV

I :r F I I"" ~ * 22.231 b

14'kr 1 r r r c 1 E"

Jtt.3/97 -a..

1. rl rl lOP

3 1 3 1 8

2.

3. ri I¥J>P

rlrlri 31313131&'

0 .t. Ex.2/33

)>P ~:J>u-.1:-1 .... lt.....r~

s :. su!,d,~islo~

1b

b: Sibelius,Symphony Nb.l,I

b.

rl ~~)>P

3 1 3 1 li'

Fil Frlllfl>P 112 118

rl rl rl rl *)>P

313131318

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Page 44: Durham E-Theses Rhythmic structure in music: a study of

39

Ex.3/98

A. FflFri 2.11~118

b.x~l 11 :l.11~ 8

1:-. ~ Frl 112.11211G.

J..x~~ 1').. 1 1 :<.,I 1 1 1 1 1 1 '

:f. 1111 ~ 16? 111 11! 12

Ex.3/99: Ravel,Piano Trio,!

n· (+')' rl-'ij; -~r--. ·n-l+> -~-- r<4i r=-=r-rp ... n- utf.t l1ocJJ..e_ 1'= 132 2.. 3 1 3 ~ .k_ + 2. 3 1 3 1 2. 4- a 3

de

X )( i-----------

><- X X X X X. X X X X X X X X X X X X. XX X X. X • X. x . xx • X X X 2. 3 1 3 1 ~ + 2. 3 1 3 1 I( 4-i) w L..J\----J I..J L....JL-J ~ L-...J L--J

S)

(4-)

(4) L ....... L-11-) __ _.l._?.)----'-13_) __ __,1~------~Cc. lH<""'~>,_---.rr-,:...8 Kl>P } "l

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Page 45: Durham E-Theses Rhythmic structure in music: a study of

40

Ex,3/lOO J nJ nr r:JJ ------1!. 1 1 I?. 1 I 2.. 1 1 I?. - - ----X X X X X. X X X XXX ------

1) LLJ (.<t) M I I - -~---

4-) - - ~-

Ex.3/10l Frl Frl m 2. 1 1 ~ 1 1 a 1 1 2.

Ex.3/102 Fib Ffh R=s A.

a 1 1 1-1 1 1 1::1 t 1 1-1

b. Frl--~. Frl--a, Frl··;;, 2- 1 1 e. f 1 ~ 1 1 it

Ex.3/l03 .Q..

a:Grieg,Peer Gynt,Op.46,ase's Death

2.24- Z.Z.4- ZZ2.11 2.24-

~~fflf c J r r I ,I r e lr r r cr I r r r vi k=i J I I b.

,__ _________ _

Ex.3/106: Beethoven,Symphony N:>.6,I

Ex.3/l04

r---Fll-- · F1l ~ 11Z. 11<!.

AL!eyc""" I -=:£={* Fi t===+--~ I llC't' ~ffc FJTl j fJ J

2. 1 1 2 2. 2. t 1 2. 2. 2 L.L..l L.L..l

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f. 1 1 2. 2. f f 2. 2. 1!. 1 I 2 2 1 1 2. 2

b. 1{n---h 1 XI ,--·Fil

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Rr--h ,---h I ~, * Rl '* I I <±c. ;:;. . h h .c,. I 2. 1 1 z 2. #l. 1 1 ~ 2 ~ 1 1 2 2. 2. 1 1 2. ;z

Page 46: Durham E-Theses Rhythmic structure in music: a study of

Ex.3/l08

Ex.3/l09

-ej.

E:x:.3/ll2

.a..

b.

Fhh 2- 1 1 2 ~

J n J J

hi lo 1 el +I bU r

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41

.Ex.3/ll0 Ex. 3/lll

hi I I h F; I 12. 1112.?:1] lz. It 1m1j

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Elgar,Pomp and Circumstance, No.4 4- 11 z g

I~~~ In 11tJJ t I

2.2.112i * 1 J ;IJOJI(!} 'I

Ex.3/ll3: Chopin,Prelude in A,Op.28/7

E:x:.3/ll4

~I :rl rl I ~~-,---, rl I I 4- 3 1 + 4- B 4 3 1 4-4 8

l*tlflt J I a r r lr r l!tl rr l t ~~ I ,L.-.j,, I I ~I I

(B)M I 1 ____ 1 I

hi I 1 1 z 2. L.....L-1

L.J

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42

EJ:.3/ll.5

a: Boyoe,Symphony No.4,III

t=1 r-- l=fh r --Fi"i=l n+-FR=~ , ... 2.2.. + 1111-4- 1111 22.lftt + rflr rrrr

1r trrt

1rrtru

1c

b: Berlioz,BYmphonie l!'antastigue,IV,

o: Beethoven,Piano Concerto No.·4,I

s 1 :: :!:--. .s".!.jeck. to <W..bo.... b~

~O....Ro!e,f.

s #!. :: ,&.,_ -....ku:l p .. ..,.......t.;, !,~ s,~;;.,...R.,!,..2.

S5 :: :&...... •vbje.d: to J._(.¢ioJ\ l.~ s .. r~ ....... ~"te5

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~b~3 ~~'----~--- --' --- --sr ---·· -

d: Wagner,Die Meistersipger,Prelude

.... ..__

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Page 48: Durham E-Theses Rhythmic structure in music: a study of

4 3

Ex.3/115e: Sibelius,Karelia,III

~~- - - - - - - - - - - - - - - - - - - - -,

tc;;r~-cs: :_ ~ ~ -:_,~r tllL .. I'Io.-G..... 8 3 1 3 1 3 1 8 + 4- + 4- + 3 1 ..3 1 4 4- S? 3 1 3 1

- J fi !3 I 6titr I r r r r I r; j; c J I j t.n~ of.,

w L--J L-1 L-J L...J I 51 '' I 15 j1 I Si I &i I I 1

~...-__ ......:....__._- -s;:- - - - ...S;; - - - '----

Ex.3/ll6: Prokofiev,Romeo and Juliet,'Montagues and Capulets'

LL..J X

Ex.3/117: Bart6k,Dance suite,IV

PT-h I I I 4-~11i!.Z4-

1& ;4 E r.£1t; r I 1) 2 L--L-J a.) L-L.....l

(of-) 11 .

Ex.3/l.l8

b: Puccini,Manon Lescaut,Aot I

xh---.h-...... h--.-1 ....,..1...,r tr>* r=r--F=Il•··Rh h 111111 2.l3 14-ft+ !111

1§\ i 1:n"11? 1 t r r m& r ! t& r I ff7iii 1 7><~ I l 'I xl 1

c: Haydn,Symphony No.l04,I I I ~---<!4-1"~ * 4- + 4-S..--.. ·1 f 12.2 fl.

I;*~' r rlr e I' rrr r riB li 1 sx.d 1 r 3xd 1

~"·¥r.-. ... ?s " P.:X.C.I.. .rer ..... ~ ....... r-r = i'..:t<t. ""i.l::.'l

c·-··-----

Page 49: Durham E-Theses Rhythmic structure in music: a study of

44

Ex.3/ll9: Brahms,Variations on 1 St. Anthony Chorale', Theme

R~- r-h -,,-,-,:.~r-~ -,- r*~ -~ -~ -~1 rFl ,, A.,..~..._te. 3 1 2. 2. 4- 4- 4- + 3 1 1 1 1 1 + t 3 1 z. 2 ++ ~ bb£ r: r r I r r l r r l u r Llt I F (f , .. r n I r¥ r r I rr de

Ex.3/120

)>C.= S~v.d. Jrouf•hj j~ j,.J _1v~., Co,.,.t:oo.-

Ex.3/122: Beethoven,Piano Concerto N0.4,I

Ex.3/l23

a: 'Twinkle Twinkle Little star• sr- ... -- ... ·: sr- ... ----: h h h (.h h h I!' 11l111Z111111l

~t ;n r r r r r rr J J J :J J

b: Musical Clich~

Page 50: Durham E-Theses Rhythmic structure in music: a study of

45

.Ex.3/123 ctd.

c: Schumann,Papillons,Op.2,XII

s·------------.., .sr----------, 1 i r:::J Fri i=n 1 .. · r ... ~ ri Fri FTl

c~ 1,,-,, 2 3 1 Z ;Z z :< Z- Z. 2 4 Z 3 1 2. Z. 2 2 Z ~ 2. 4-

IU&JJJ[, rlrrr1rr; IF rJrCfJtCrJr rr1r eJ I y I 1l

d: Beethoven,Piano Concerto No.3,I

s;- - - - .... - - -- - - - - - .,

h I r::h I ~ r==1 4- + 3 1::Z2 3 13 1 8

• eJJ.;:;JIJx;J'JjJJ-j

e: Mozart,Sonata in C,K.330,III

.._ -------------

t: Arne,Rule Britannia

r-- -·--·-------,.. --~ S1 1 I t

n--FM"1 h I I I ++1ii12.2 ++8

1§\ e J J lj'lj 1)1 J ; J I

Ex.3/124: Tohaikovsky,Symphony No.4,I

~~ 1 2.

A. L - - - l - -- - I ,_ - - - J- - .. t<:..

"t 1113 3 " L!..l.1 I

b. L - - - - L - - -- I I - - - - _; - - e.b:.

Page 51: Durham E-Theses Rhythmic structure in music: a study of

46

Ex.3/125: Beethoven,Symphony No.l,I

Ex.3/12o: Holst,The Planets,'Mara'

ttn lli~·l ~2.2.6C33b

AU-·/'

s;;...,,it:_ ___ _

3 ...- -,

{ : . . . . . . . . .

c..urrur LL.lffUI ~~-t~ Ci)

! p. J. ~ ~~~~ I-t-t--: .

........ "-" I I 'tB'. " ~ '------

'--.E:x.3/l27

X X. ><. X ... X X X x. X xx>< .x XX. X <U:c.. -4- ~ 1 1 + ' 1 1 +

<: • .,. J J H J J HJ L....J._J, 1-L..J

(.f.) I :St 5:1 I (8)

b. l .~t.tc..

Ex.3/l28

Page 52: Durham E-Theses Rhythmic structure in music: a study of

4 7

Ex.3/129: Haydn,Symphony NO.lOl ('Glock') ,II

fl..tl....te .f-1111 ~222 2~2~~a2z ~£2.222a2. ~2.;;t2.l222. 22.2.22222 1 144-

~~fJCI{t~~W/t;tiJ lrtiTWtit llJP :$itttut:rt 1~ g 1 ·~) "" •!!IIIII I! !!Ill! IIIII!!! 11!1111! I

(4) I .. L---_J..._J..._,__~ (8) I.----_ L--.....1..---L-~ (!l.) L - - - ---- _L_ ___ ..J.. ____ _..L------'-----~-~

Ex.3/l30

4 1 l+)I--J

4 (1 1) 1 (l.)

4 (2 2) 1 (8)

J(4 4 4) t

L - - -- - - -- - - - - -'----------------'---~

Decay value

.25

.39

.5

.707

4 2 (4-) 1--J

4 (1 1) 2 ~)

4 (1 1 1 l) 2 (lr)

t'-) 2 (1 1 l 1) 1

(1~~ {1 1 1 1 2 2 2 ~ ?

2 (2 2 2 2 2) 1 t~) .

(3)u

3ll) 2 (4)L..:..:...I

3 (1 l l) 2 (I) I

3 (l 2 2)? till

Decay value

.6299

.707

.79

.8409 (c.f. Ex.3/l29)

.8909

Decay value

.666 4 3 (4-) l-.1

.737 4(1 1) 3 (l.)

.816 4 (2 2) 3 (B)

.859

Decay value

.75

.825

.866

1---------

Page 53: Durham E-Theses Rhythmic structure in music: a study of

4 8

Ex.3/131: Beethoven,S~~phony N0.6,IV

I I I I I I I I I I I I I 4- .3 1 11111111 4- 31 111111114-31 ill 1 1111 +

., @! J 1 ;· C I (Q CW iJ z Jt IC!lf ii:O IJ iJE IQtj ·~ 1}/

b. h~ I I r 1 r c u..u u:..u r ~ "-':.<-.

Ex.3/132:

Ex.3/133

X X X. 4

X

.~ .. xxxxxxxxx~ ... ~. 3 1111111ti+

b: Mozart,Quartet in D minor,K.42l,I

8'-~2.11 24"

1. ~~~ F J. ;IJ ;J,j R J. '- 3-"-1

Ex.3/l34

i--.-------- --

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49

Ex.3/135: Beethoven,Symphony Nb.7,I

.a..

1 ........ rr1----,.-"' -rn-.--lf( -rrl~* -r=r=-1----.., * 3 1 ~ 3 1 ~ .3 1 R.. 5 1 ~ 1>1~--- .

ltr~!§ t!U 9[WI,rtl !#If If ~ (ill)

b.

.e.

Ex.3/136a:Berlioz,Te Deum,II,'Tibi Omnes' ~ ---- -

..a..

b: Mozart,Sinfonia Conoertante {Wiolin and Viola) ,K.364,I , .. _________ r-----:--·-

j r:t1 h n n--~ 3 12~ 2..2..2.~ 431 1111

'* 1h c r;: t r 1 r r ; ;; 1 r r C 1 t r r r b.

Ex.3/137: Racbmaninov,Symphony No.3,I

Page 55: Durham E-Theses Rhythmic structure in music: a study of

X :>< X X ~ X ><

-' X . .o...t

Ex.3/138

-rr:i' lr=l=1l A. 3 1 ~ b. 3 1 1 1 1!. ..c..

L-...1.

r c r (JY:J

fl=l-1 fFi-1 -e.. 4 L!.3:. f. 8 .!..!S

r '=l.1 i'=U

Ex.3/139: Beethoven,Symphony No.7,I

E%.3/140

X )( >< x.

X X X X •

~ X. X X X X -e.tc..

+ 1: r

'\ 1 1 1 + ~:1

1 1 2 .a..

(X)M

~~Fkl~ + 112.11114-'---O.S-- -!

)>u.J vrU... X X X X

.c. 4-

M r

X X X X )(

:X. )( >< X 1 1 2

~ X X X X ?!, €-Cc.. 11111r

)>cl I

8 fTI rth 8 :.0.1 z.s.: :_...o. 33 ••• _J ~-- -0. Z.S-- -: 2:>~ v...Lu ... s

X x.xx. 1 1 l..

'=LI

50

~ F,:1F;=t-, g 8 ,~ 1 1 2. 2., d.. 31Z.11l2

rrCJJu rcr.....uu

~ j· ~ .f 1 1 1 2.,

r'=lw

b.

X X X )( )<. X X X

4- 4-

r r X X X ><

" X X x.

-e. g

j: f'

X X.

X >< "'- X

1 1 '

X.XXX~el:.e. '11114-

u...u=l

~ X X. X X

X X xxx. X

i 1 2. 8

'=L! =I r

g 1 1 2. 8 I I

!..O.~.J

~-------- --------

e.l:c..

Page 56: Durham E-Theses Rhythmic structure in music: a study of

51

Ex.3/l41

a: Shostakovich,Symphony Nb.5,IV

r--Fli--_ ~ ---~h=l l=M .. 1--h- h h 2. 4-4 b 11 22. "3122.4- 4- 2;1..22.22

~~ c ~ ! ; : J. ;; l Z EJ C:f r I E CJ c:; tz IF • f r r i r ~Icc

b: Sibelius,Karelia,III

Rl ~ ~--~ p;--~~--i·"'RI ~I 83131318 + 4-4-4-4- 31314-+ 83131

1-r'i J :.ez; I g}U I r r r r I ;-: r-; s ;I 2 d I

.Ex.3/142

"'' a: Dv-orak,' Cello Concerto ,II.

(r) r=i=fiJ-*~ 8 31' l. 2.2. 4-4- 4- {, .2. 4-

l~*ir ({lf vrjrlrr 'rJJ.)JI (+) I : I I I I I

2.: 1 2. ' 1 : 1:1

~ ----------------

b: Chopin,s:>nata in B minor,I

c: Tchaikovsky,Sy.mphony No.5,IV

I (f~ I I * -r=-=--n-d=!Ul 1.2. 1 1 1 1 + ff 4- 4- 4-g---------------------- --------

-I,JPTF rtr:e I C ffl r I r F I (+) I l : I I I : I I I

3: i: 1: 2. : 1 : 1: 1:

Page 57: Durham E-Theses Rhythmic structure in music: a study of

52

Ex.3/143: Sohubert,Sonatina in D.Op.137,III

·----- - - - - - - - ... i f+1 ~--rl¥W·~~ OP

3111 l-13 11111-f '?.13

1§1 i f WI r c J. l c£1 C111r! t f vI ::r: y ::L :fi[ -;LJ.;.... T-

Ex.3/144: Monteverdi,Vespers,IV,'Laudate pueri'

h f--rH I r-1 +4-2.312. b 2.8

~. '' i J J r r· c r 1 r- r a 1 LAu- eLL -i:e , pv- e - ,.,. , :Z:.o -mi.-n<~m

(i r n

b.

Ex.3/l45: Baoh,'48',I,Fugue No.8

Ex.3/146: Beethoven,Sonata in C#= minor ('Moonlight') ,II

Rrl Rrl Rr=J ~. r==t rl rl ..a.. i 2.. 1 z. 1 2.. 2.. 2. 1 1-.

r r r r r i r i r i r F

R~ I I* ~. I I~

2.. 1 -l. 2.. 1 2...

b.

HR ~ Shuc.tvro..L j-"f''':'j b«ofed... b::.J ll...,_nio 'i::~t:J..,.,.

rl rl z. z...

r i r i

* rl* rl<l¥.) 1 -z. 1-2...

Page 58: Durham E-Theses Rhythmic structure in music: a study of

53

Ex.3/14?: Wagner,Tannhauser,'Pilgrims' Chorus'

Ex.3/148: Mozart,Clarinet Concerto,K,622,II

~

Ex. 3/149: Bartok ,Mikroko smo a, N::l.l49

sf 1--------------

f1 - - - ~~-.J-:----~ ....

~~if r r tJ

~.---- Lk_• .----..

Ex. 3/150 : BartOk ,Mikroko amo a, N::l.l50

#

sf

Page 59: Durham E-Theses Rhythmic structure in music: a study of

54

Ex.3/151: Bart0k,Mikrokosmos,Nb.141

h

~~~~~= ~~' ----~----~------~ 1 rt=l hh

(\--...., -- I "I J 1 t\ r""1 ~ ~ n-r-1 J I I I l I~ 1':\ - -~

-t) p I' I -"Y I

IJ f I

_l

~ ,J ...----.--)). 1-J--,J ;-. d...---,-_ C"~ -._JL I d-r: I L ~~·

- --Ex.3/l52: Sbostakoviah,Symphony Nb.lO,III

Ex.3/153: Dvot~,Symphony NO.a,rv

Page 60: Durham E-Theses Rhythmic structure in music: a study of

55

Ex.3/l54: Mozart,Sonata in D,K.284,I

Ex.3/155: Borodin,On the Steppes of Central Asia (let theme)

~

()~oo) ~~ ~ h R/ F;=h h h I '11 4-+ ++" 11 ++ ++44- 8

1~; r- 0 1 r ! 1 J w 1 r· tt 1 J r 11r r 1 r tr ltr '\. 1'

'P.:Cd.. -['el;U::io,.

Ex.3/156: Borodin,On the Steppes of Central Asia (2nd theme)

1-- ~-----------~

(3/157 not used)

Page 61: Durham E-Theses Rhythmic structure in music: a study of

56

Ex.3/l58: Stravinsky,The Rite of 8pring,'Danses des Adolescentes'

~A~Fl Rh h ~~h~ I I.J I l /Z1] -------------- ! -----;::::: ....---......

*~5& £ at ¢I& Etr £! I C](it =-e f I i ~ tifa:t U WtJ !£& tr] A<IJ«tb~

~1 ~2

R~Fl n 1161h h ~~Fl h --.----.. '-'t"~ -----~ --- --

~4 tf Fb1IE1f ci Is tw C1 l coJ k£l I d &Q{ l E1it d Itt; lr I

i------------

Page 62: Durham E-Theses Rhythmic structure in music: a study of

57

Ex.3/l69: Stravinsky,The Rite ot Sprip&,'Gloritication de l'Elue'

RA1 ~AZ 1-A3 R114

1 1 jm lT.l 1 t t t t .r t tjm m ~ 1 c c 3 c c c c c c c c3

;r

fEil --1 1 1 1 1 . 1 1 1 1 1 1 nl J11l 1 , 1 1 1 1 11 c c c cc cc c c c c c c cc c

i rJ ,, I m I r J J J i J' m I J' if:J I c c c c c c c c c cc r c c

~7

I 1 1 m1

j m I

c c c c t ~fo 'RA11

h.S/.160: Stravinsley, !rhe .Rite of Spring., 'Danae Sacr.ale' i-----------

• • 7 • y•••i•7•7··~···"1•'f••r•!•i•"'"1

• • .., . ., . .,."1 •.• ..,., ..• "t···r•'f·•••!•"f••r •., • 7•7•7•• 1• r•"!·i·i ••7•y•..,••••r

• • "! • • • "! • 'Y • • 7 • • 7 • 'I • • • • ., • • • • • 7 • y • • • 'i ere. •

Page 63: Durham E-Theses Rhythmic structure in music: a study of

58

Ex.3/161

-a..

b .

.c.

Ex.3/162: Sahubert,Symphony No.3,III

v.·vtv-e I< I X h i Rl Fi -,;r-h- -h"h 2.112 2. HZ11 1111

l~ilqJ I~?J J lA J tr IEtft jL JZ.

1--------------

Ex.3/l63: Beethoven,Violin Conaerto,III

Ex.3/l64: Beethoven,Symphony No.S,I

Ex.3/l65: Haydn,Sonata in·E minor,Hob.XVI/34,III

Page 64: Durham E-Theses Rhythmic structure in music: a study of

59

Ex.3/166: Beethoven,Sonata in D,Op,l0/3,I

Ex.3/167: Mozart,Piano Trio in ~ ,K.502,II

4- 4- 4- 10 1 1 ~ ~ 2.(11)~ 2 " 1 'I + + 2.. 2.. 2 2 q

!'£bid wlfEitrr cirltl£, 'E41't r--r

Ex.3/168: Mozart,Piano Oonoerto in 0 minor,K.491,III

.f -r-i -r=q .f;- h--,

16tb& J 1J ; J J IJ. II i I; W J J I J

Ex.3/169

a: Brahms,Requiem,II, 'Denn alles Fleisoh'

b: Brahms,Symphony N0.4,II

Ex.3/l70: Kozart,Adaeio and Fugue,K.546(426),Fugue sm l=ri=1 t-i-i 4-4-4-1111 44-,

I!>=~\C rt J jiM t!~ r

:r: = -r .. to:rp,..,_t ... t:J.

S = sul,<(i"':r/ • .,.,

iJ..-/1" "'}> .S.r.,.....,c:.e. -t ...._.rolubO...

f.-----------

Page 65: Durham E-Theses Rhythmic structure in music: a study of

6 0

Ex.3/17l: Tchaikovsky,SWan Lake,'Dance of the Swans'

f[ e yJ!Z-~.j52J 1:=: ;J. ;s;; !i ·

Ex.3/l72

r-·, 1 1 r··rrn A. 7 2.3+1 Z34-1

r-rnl--ml b. f 2.34-1 Z34i

.c.

Ex:.3/l73

J.JR " S truc.&u...J. _j '""'7"."j c.~..Xeol ~

f.lc...- ...... o-.-,J~ J(J •• ytl.. .....

~------------- _________ ..,.

:1 rf1 I Frh Ur+i I F;h t"rh I "f-rl. I 1 §'fe , nJ J. n J J I J 3 J J J H J J f cJ EJ r I' tES r I

Ex.3/l74: Bach,'48',I,Prelude No.7

~-~~.--I --; r;#21--.-- .dr,..

J./R. :: Sl:r..c.l:u ..J. Jt'bvf''-:J c.e<>-hd

bj J.la.,_...,.,.,,, 'iJ...y'tf. ....

>---------

Page 66: Durham E-Theses Rhythmic structure in music: a study of

-

6 1

Ex.3/~75: Beethoven,Overture:Prometheus,Op.4!3

Ex.3/176: Bach, 148' ,I,Fugue No.5

I

-;J.-.T•••..,;·~

__ :t:~ .. -~ ± -· ]l J[' :r,-

.I

Hf:.:=.S&-u<.turo.( .j'"ufi'j <K4.(«{ b) 1-/D.r~ ~~

S!:: S..,luiiv;J i 01\

~~~~-~·~~·~~~~~-~~~

Ex.3/~77: Bach,Sonata in G minor(Solo Violin~ugue

Ex •. 3/l78: Brahms,Piano Concerto No.2,II

A ::: T.;,~ ri"t sl..~rJ.. 'J sa~ -~Lu.s

~---------

Page 67: Durham E-Theses Rhythmic structure in music: a study of

I I

' &r: "'o.s.:4tl

Ex.3/180

R

hh ·=II'

[6_!> :::4:=::±.~ IJ ""- - 1-->

.tf -:

---~ '

F Allegro appassionato

II rfh --..

62

1(,;]

~~-:-~ .. --...

I £ ~ t:a.@ ~: ~= ~

,_-... u ~---:;:

I r=l . .p.~ . ..D.-;---,-;--. 77

f @ >

u lt· ?}. ~?}

@

(~) 1 f 1 1 ~

I

..

~--~:~_n

> ni41'C. sempre

lt...:.._ ~~?}

f.-----~------

Page 68: Durham E-Theses Rhythmic structure in music: a study of

Ex:.3/l8l

Ex.3/l82

a-.

r-- -h ,---Fll J n J n J

IR I 1/g I

63

b.

' Ex.:S/183: Stravinsky,The Rite of apring,'Cortege du Sage'

.Ex:.:S/184: Mozart,Symphony No,40 ,K.550,I Ex.:S/185: Beethoven,Symphony No.l,III

'PJ.......se «>-..fovr: 1 : 1 : :2. P'--se ~,. 1 : 1. : 2.

<·~=> <+-*- (io I"' hl->l"hl !=,I t

~*[I~~~* 1 ~12.1 111.2

1%>;; JA rlr r Jrrltflf

Ex.3/l86: Beethoven,Symphony No.3 ('Eroica'),IV

rl~ r=t t=1* ri * 131313-13

~ tb& £ s I r c I r C I r C l E :r:- Yi 1 Y-II

Page 69: Durham E-Theses Rhythmic structure in music: a study of

64

Jx.5/~8B: Bach, '48' ,I,:rusue lilo.6 r r= * 'flA J J t

or equivalent

@ @@® (B)® ® I r . .r I""'" I~ I ..-- I -rr I "',T 1·'1 ,!"m"1)r j("t).T 1('!)1]11 r I., .r I"'-"- 1----17 r 1-11 '----....:J;.-----11..-.L_, 1....-i.-J I f+) ! 1-..L.., 3 L

1--------

:IX. 3/189: Bach,l4ass in B minor,III, 'K;rrie · Eleison'

II "'"

1-L ~-... i.-.

. ~-lei.--. e -.son I I I* * ~)--- =-t*')

ilL·~ n r r- H-n I. ' t : II

: . { ~... K::l _,..i.- e. e. - l.el. - - - sen., e. -i.e.-i.-scm., e.- - - - - Le.- - " -.son.,

Page 70: Durham E-Theses Rhythmic structure in music: a study of

65

Ex.5/190

0 J

c J A.

B J J J J J J J

f.-------

0 J J

b. c·r-1 J J ,.._ 3----"\ ,....---, ~

sJ J J J J J

Page 71: Durham E-Theses Rhythmic structure in music: a study of

66

Ex.3/191

~ J .J J .rrn .r < ~. r· c r c r· 5

Ex.S/1.92: Bart6k,Mikroko~s,NO.l5l

Ex.S/193: Bart6k,Mikrokosmos,NO.l53

J. J. J :58 ~~

A A

i-------------

Ex.3/l94: BartOk,Mikrokosmos,NO.l48

R :-~ --;::=::;h===ll *

Page 72: Durham E-Theses Rhythmic structure in music: a study of

67

Ex.3/195: Schubert,Impromptu in A~,Op.90/4

~HKIF===~,==================~~-~~T~T~R~~---- ~~. 7:,-= ,,.,._..sy. ....... cJ. r/...rose J ..... o,.~ HR. :: H......__ic. ~tt-.. ~ ;b +

Ex.3/196: Beethoven,Symphony Nb.8,II

< .. . .. v 1-IOiiiili;iO;I

II . el -....-...

Ex:.3/197: Mozart,Symphcny No.4l,K.55l,II

-;; - -.. .. tJ ]> ... " p-* I

f,. +-r-.... ~ .. .IJ.

:

Ex.3/l98

(-o..) (b)

' I c1 I I I

'""'; ......... r· r r r u r 3 .3 e.. 2 z

?~~ r r r r r .-.e.l:te: 2. z a ;s 3

Atb<-.c.k .m,·rrf r-·hl ir=h 2. 1 i l. .z. 1 1 2

C::...-::1

v

:cr--1 = s~..,....( .J..,"fir::i fOli;t:./~ "'"'" ~=~. b~ :c .

~

! ~

~--------

Page 73: Durham E-Theses Rhythmic structure in music: a study of

6 8

Ex.3/l99

A..

JJJJJJ (7) ~ (>J

b.

r· r r

Ex.3/200

,0.... b. '

L. ] i._l ,_; t._!

r! r---1 I l I .___.... '~: --:::-:.•

Ex.3/20l

.a.. b . I I r. I I r: r: r:

.. Jl. ....-... - - -

I I

r------T

Ex.3/202: Brahms,Intermezzo in B minor,Op.ll9/l

Ex.3/203: Mozart,Sonata in C minor,K.457~III

s r- -- - -- -- - - - - - -:. ~c...

3/004 not used

Page 74: Durham E-Theses Rhythmic structure in music: a study of

6 9

Ex.3/205: Bach, '48' .II,Fugue No.l9

1 1 1 1 7 1 3 1 3

b.

c.

J!J..3/206

5 111113 1+

I J 4-

Ex.3/207: Baoh,'48',II,7uene No.19

3 "' -f 1 1

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Ex.3/208

-a..

h j-, nTn r 'tr b.

h h rJ i' 1 r r

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Page 75: Durham E-Theses Rhythmic structure in music: a study of

b.

70

b: Raohmaninov,Symphony Nb.3,0p.44,III

·~h '""1 * I

h I I I iiTh ! z ' I

2.. + ::( 1 1 4- 2. -2.

Ex.3/009: Beethoven,Sonata in G,Op.79,II

~,

P.S = fi.td... Se.~;on., r-r = Po:w. uo.tt-.::1

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h I I 2.. 1 1

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Page 76: Durham E-Theses Rhythmic structure in music: a study of

7 1 Ex.3/2l0

a: Beethoven, Sonata in F (Violin and Piano,' Spring') ,Op.24,I

r----------.----------,---------r *

b• Stravinsky,The Firebird,Infernal Dance of All Kastchei's bubjects

f---------

Ex.3/2ll: Dvor&k,'Cello Conoerto,Op.l04,I

Page 77: Durham E-Theses Rhythmic structure in music: a study of

.a..

Ex.3/2l2

.0... ~lt:l>P

I. J J J J J J

.c.

Ex.3/213

l r

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Ex.3/2l4:. ~urcell,Abdelazar,Hornpipe (Britten, Young Person's Guide00p.34,I}

_ft_ of/" ~ ~. ..._ • ..1.. _Q_

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Page 78: Durham E-Theses Rhythmic structure in music: a study of

73

Ex.3/216: Mozart,~uartet in E~,K.428,I

Ex.3/217: Francisco de la Tbrre,Alta (HAM NO.l02a)

r .. , ..;-; ......:

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Page 79: Durham E-Theses Rhythmic structure in music: a study of

74

EX.3/218: Soboenberg,Six Little Piano Pieoes,Op.l9,III

Top l.;,.,_e_

-r<.{o..h.'•e Co~(

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Page 80: Durham E-Theses Rhythmic structure in music: a study of

Ex.4/l: Tchaikovsky,Sympho»y No.5,I 7 5

Ex.4/2: Baoh, 148' ,I,Prelude No.6

b.

r--- - - --- - - ------- -r- -- -- --- --- - - - - - - r ---I I I

rfifl=t~~~~~· ~·~*rf#h""r:k •

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Ex.4/3: StraYiasky,The Rite of Spri~c,'Evo4atioa of the ~eestors'

I~ l*h=ll* ~. J J J 1 J 1 j ; ) 1 J /\ .. -r.h;,_ C.~<e"b

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Page 81: Durham E-Theses Rhythmic structure in music: a study of

76

J:tt.4/5: Proko:t'iP" ,R011eo· a•d Jul1et,Op.64, 'Duoe'

1\= To-,.,"c ~C

'-.. .:: }li-ecJ::t;,..{J""'Vf;"j

E%..4/6: Berlioz,Barold b. Ital:Y,Op.l6,I1T

h.4/7: Bach, 1 481 ,I,Fu&Ue llo~2l

,.,~:f-R, I .. J~~ .. "R~rs~;s~-Fil~rs~

E%..4/8: Baoh,Sonata 1a G aj,B.Or (Solo Violil!) ,Puett•

IPs r=J.ps ;:::::jl<P> ;::::JxPs r=J>tPS

I"S = P"d:J.. Sef......h._ UR = j.j..,..,._;c 'K~tl....

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1~ cl ! f •cf fir 100 rf hr I r H ncf [$· 'C( f 'F ~ '"'I~

Page 82: Durham E-Theses Rhythmic structure in music: a study of

7 7

.Ex.4/9: Baoh, suite No.3 (Sllo 'Cello) ,Bourree I

Fi [@.,~ ~ f;-1 ...

-a- ~d,rjir#r:f&!tf&Etlfi r a- 0;r 1r rw '----1 L-1 '----1 L-1 ~

Ex.4/l0: Baeh,'48',I,Prelude No.2l

A .

.Ex.4/ll: Shostakovi•h,SyaphoDy ~.5,I

rl rl rl rl rl rl rl rl .._ ~ -----------

1 15 1 15 1 15 1 8 I~ 1 Z.12.1~

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r---i r-l ~ rl 35 35 35 35

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Ex. 4/12: BreJuas, Syaphony NJ. 2,I

Page 83: Durham E-Theses Rhythmic structure in music: a study of

78

Ex.4/13: Prokofiev,Romeo end Juliet,Op,64, 'Dance of the Maids from the Antilles'

Ex.4/14: Mozart, Sonata in A (Piano and Violin) ,K.305,I-

E:x:.4/1.5

b. hhhhhh

~-----------

Ex:.4/l?: Beethoven,Sonata in Clfminor ('Moonlight'),Op.27/2,III

Page 84: Durham E-Theses Rhythmic structure in music: a study of

79

Ex.4/l8: Bach,'48',I,Prelude No.l4

Ex.4/l9: Chopin,Ballade No.4 in F minor,op.52 (endi~)

Ex.4/20: Baoh,'48 1 ,I,Prelude No.ll

- fl. -

lx.4/21: Baoh, 1 48',II,Fugue No.6

Ex.4/22

1#-::. Lo'j~-..... c. =-r-i~ 1-/,(,o f.l.......-.r'c. KI::'.Jt4-.

Page 85: Durham E-Theses Rhythmic structure in music: a study of

80

Ex.4/23: Mozart,Sonata in F,K.332,III

.,.: -----

Ex.4/24: Brahms,Piano Concerto in D minor,III

Fn FT; Fr1 1-n ~c.. 1-k.it>c,f'. d.- '1'" ({--<" ol- ._ ol--f'

.. , g--------------- ---------------, /!. •

- --" .

Ex.4/25: Sohumann,aonata in A minor (Violin and Piano),Op.105,III

Ex.4/26

..a...

Ex.4/27: Baoh,'48',I,Prelude No.l5

f R. FTi ~Fn ifn ifn +n ifTi +n lfn (.o-f' I ~ ITiJ(n=J iif'T"I~:n=i ~rr=1 ~rriliiTI n-

$tJ#Qb~~~1l1lt£\Jj

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Page 86: Durham E-Theses Rhythmic structure in music: a study of

8 1

Ex.4/28: Bach,Brandenburg Concerto Nb,3,I

Ex.4/29: Chopin,Ballade No.1 in G minor,Op,23

)c.,-rr---- ~- -,

Ex.4/30: Beethoven, Sonata in F minor,Op,2/1,I

Ex.4/31: Beethoven,Sonata inC ('Waldstein'),Op.53,III

tJ I -~~~ .. ~ Kli -.; ... ,. .... , ... v•

snuprt• pp @> :

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Ex.4/32: Chopin,Ballade No.1 in G minor,Op.23

l.Ju-jo

13'V•c

.......t:

--

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Page 87: Durham E-Theses Rhythmic structure in music: a study of

82

Ex.4/33: 'Twinkle Twinkle Little Star'

h h hI 1 I 1 1 l 1 2-p-p r-r r-r

I@ 1 J J J J J J

Ex.4/34: Mozart,Sonata inC minor,K.457,I

l ~I

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II t- .. • ......, ......., -. 1

t,:-p ... :r- -

tJ P" I-" I' f J( 'V ..... :;t .. ~., .. :; .. ~ ....__ - f

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p '--.. f

Ex.4/35: Bach, 1 48 1 ,II,Prelude No.6

~- ----------

Ex.4/36: Bach, Sonata in G minor (Solo Violin) ,IV

Ex.4/37: Baoh,Mass in B minor,XIX,'Confiteor'

/(.~~t=;=l=r ~Fii=1~ RFfh• 1

Yr'v~d-./,(l£:ro p- P /"- P P- P f' -.f'

1 ~rw¢Cirr jtrr1rarrrrr 1f

Ex--.4/38

~* Rr=t*-1~ ~- I p-P r-P p-r

16 bb& r r r r j J J 3 j J J 3 J e) p--I' P-f P-P

,a.. J'J J JJ ,/ JJ J J

h. J J cJ J

Page 88: Durham E-Theses Rhythmic structure in music: a study of

83

Ex.4/Z9: Bach,Brandenburg Concerto NO.l,I

Ex.4/40

Ex.4/~1: Brahms,Piano Concerto in D minor,I

I I I I Ex.4 42: Kodiily ,SUi te:Hary Janos,V, 'Intermezzo 1

>-.------

Ex.4/43: Brahms,Piapo Concerto N0.2,IIl

Ex.4f44: Berlioz,aymphonie Fantastique,Op.l4,II

Page 89: Durham E-Theses Rhythmic structure in music: a study of

84 Elc.4/45: Beethoven,Quartet,Op.~B/1 ,I

Ex.4/45

Ex.4/47

Ex.4/48: Baoh,Orchestral SUite No.3 in D,I >--~~----------

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/(l,. l§f* rfer~ri,rlfrtrid!lfrrE:o

b. t

A. b.

E:x:.4/49 . II a:J EIJ

Ex.4/50

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85

Ex.4/5l: Schubert,Symphony No.S,I

(A) h (B)~ (l!)~ r::Fl h VlJh A. 1 '= 'd r r c 1 s r c 1 u EdJI r r 1

r--r <.A) (1>) (3) {ll)

b. b2£!ij F r I F r I F r I f r I

Ex.4/52

Ex.4/54: Moz.art,Sonata in F ,K.332,I

i-----~-----

Ex.4/55

Ex.4/56 4 3 1 3 1

I. f f" ~C I *r;1 f s I C±

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86

Ex.4/57: Beethoven,Symphony Nb.6,I

,o.-.

I F;fii h Fil b. ~~} :'7; ¥1c ; ~m1 c

Ex.4/58: Tchaikovsky,Symphony Nb.5,IV

g-L l_ .L __ _;_ J __ J_ 1-1- _ J_ri A(!e~ro Viv-.. d;l20

t;J -- . --..

Ex.4/59: Tohaikovsky,Nutcraoker,'Valse des Fleurs'

1\ jJ. --..,. - - -s-.... 6 ., ---- ........ -....

.a.. e) I I . I - ~ ... 1_ ....

@

: 7 ~ .. i "i ~ il ~

~3~!~------------~:1 '-=.3-: ----------':1

b. I~\ t I r · Tir I F' I ( I F' Tt I r I 3: :1 3; :i

Ex:.4/60: Beethoven, Sonata in c ( 'Waldstein') ,op. 53,I

1-, #!$ fl-th1{#) I' . f:i . , h ;(P.< fh~filtx)

Page 92: Durham E-Theses Rhythmic structure in music: a study of

Ex.4/61: Bruckner,Symphony Nb,8,IV 8 7

Ex.4/62: Schumann,Piano Concerto,Op,54,I

Ex.4/63

b: Debussy,Prelude,'La fille aux chevaux de lin'

b.

i------------

Ex.4/64: Stravinsky,Symphony of Psalms,II

Ex.4/65: Bach, Concerto in C minor ('l'wo Claviers and Orchestra) ,HHV 1060 ,III

"ri"ri'l h h I

I; 'bb f c I J7P I J J J J 1

Page 93: Durham E-Theses Rhythmic structure in music: a study of

88

Ex.4/66: Bach, Violin Concerto in A minor,I

~ rF1""f ~ ~r:=F=Fi~ ~r=R"+~

I~ f "&Jl I !tf®H!jjj I ijJJ 1jjj I bi

Ex.4/67: Chopin,Nbcturne in E~,Op.9/2 (accompaniment)

~~:fn ps fTl Ps Fri fS ~~! I

l!h'd 11 1 r r 14 d 1; if 14FF 14

Ex.4/68: Bach,Brandenburg Concerto N:>.3,I

f'- p P- p (>-p P-}'

'*'c •m 1\@f~ !.!f~~(m-s~ <tJJffft, 1

Ex.4/69: Brahms,Piano Concerto No.1,III

~.--~--~--~~--.---~--.---,--,--,

llli.e~·-, i; z .. F-i-'F; -·-;.:..:;·-r=-:,-·~ ·-·;:::.:,.,-·-g.- JR~S-1---. ~J ey_s/?..1

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Ex:.4/70 Ex.4/71

f\ lL •

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:

Page 94: Durham E-Theses Rhythmic structure in music: a study of

89

Ex.4/72: Ravel,Piano Concerto in G,II

Ex.4/75: Chopin,Ballade Nb.l,Op.23

? 1 ~~~~--- ... h : -.>:1 rj -;---,1

s····· .. ··········-······-···········i

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)(

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Ex.4/74

A-. ~ r=r=l rrl t=r=l

1§ c ttl E11 ta r b . ~ ;::::;:::} r=r=l ;::r::!

II CtUtDEUr

Page 95: Durham E-Theses Rhythmic structure in music: a study of

90 . Ja:..4/75: Chopin,Ballade No.4,0p.52

'3 3 '3 3

1l{ 18 18

If'J:..4/76: Bach,Mass in B minor,VII, 'Domine Deus•

Ex.4/77: Holst,The Planets,'Mars'

~--· •· -Jb:..4/78: Mozart,Fantasie,K.475,Andantino

.a.. b .

---

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Page 96: Durham E-Theses Rhythmic structure in music: a study of

9 1

Ex.4/79: Beethoven,Sonata in F minor,Op.2/l,I

Ex.4/80: Tchaikovsky,Sym.phony No.6,IV

~-------------

Ex.4/81 ..0.., b .

I~ ! !yi ! r r r II ~~, ~ I~

Ex.4/82: Tippett,Fantasia Concertante on a Theme of Corelli,T~e

Page 97: Durham E-Theses Rhythmic structure in music: a study of

Ex.4/83

92

I ~~'I u I I hJ.-­WIIi-'=bbt ~ WJI('c r rr

.Q.-,..- A.-..-

Ex.4/84: Beethoven,Sonata in C minor,Op,lO/l,I

Ex.4/85: Mozart,Sonata in F,K.332,I

Ex.4/86: Beethoven,Sonata in A,Op.2/2,IV

Sro.-e.ioso

Ex.4/87: Mozart,Sonata in Bb,K.333,III

.0...

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93

Ex.4/88: Beethoven,Sonata in C minor,Op.lO/l,II

Ex.4/89: Mozart,Symphony No.4l,IV

Ex.4/90: scriabin,Prelude in GJ,,Op.ll/13

Ex. 4/ n: Tchaikov sky, Symphony N:l. 5, IV

Rl Atar· v.~ J.,,~o h

t'lll."""g....-1,....,., I I I I ,J J J J J -, f~~ d-~ l J:::trot

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Page 99: Durham E-Theses Rhythmic structure in music: a study of

94

Ex.4/92: Bach,C_oncerto in D minor (Two Violins) ,I

Ex.4/93: Mozart,Piano Concerto in A,K.448,I

h fl u. ~

;L ~ _.,. _,.. ... .;,..~

p ~,.. ·~ p --eJ ..

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e) I r lt" ,.,

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Ex.4/94: ~chaikovsky,Piano Concerto Nb.l,I

~------·---

Ex.4/95: Baoh,Mass in B minor,III, 1Kyrie Eleison'

.._ _ _£...:. -------,-e- k- .i- .-..,

Page 100: Durham E-Theses Rhythmic structure in music: a study of

A.

95

Ex.4/96: Beethoven,Symphony Nb.3,II

Ex.4/97: Beethoven,Overture,Leonore No.3,0p.72a

II -3 :1. -.-----.... eJ .. ___.

-·~~ li @ A-~

.J. .J. . . . p- - -r r

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Ex.4/98: Beethoven,Sonata in C minor,Op.lO/l,II

1-i~-~.·, .,..,.d. Ec

Ex.4/99: Wainer,Die Meistersinier,Preluda

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Page 101: Durham E-Theses Rhythmic structure in music: a study of

96

Ex.4/lOO: Mozart,Fantasie,K.4?5,Andantino

Ex.4/10l: Beethoven,Sonata in C minor,Op,lO/l,II

4/102 not used i--- ----------

Ex.4/103: Brahms,Piano Concerto Nb.2,IV

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97

E:x:.4/l.04: Brahms,Piano Concerto No.2,I

I ~~~tc 1»<, 3

""'/'('<> J~~"- >

~e:.i~-~~

Ex. 4/lO 5: Tohaikov sky, Symphony No.5, III

Ex.4/1.06: Tohaikovsky,Symphony No.5,III

r 1

;z ....

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98

Ex.4/107: Beethoven,Violin Conaerto,I

ffi=l;:ki:ll.~

Ex.4/108: R.Strauss ,Reverie,Op. 9/4

i-------------

Ex.4/109: Baoh,•48',I,Prelude No.24

Fl f--u---,r----+j----h -d. ,.. ct

hh J...-,-

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Ex.4/110: Chopin,Andante Spianato and Grande Polonaise,op.22

Page 104: Durham E-Theses Rhythmic structure in music: a study of

Ex.4/lll: Chopin,Op.22

lb:.4/l.l2

Resolutions in category:

1\

99

I

r 1 ., ~ ..

i. ~)-{1) 1t5H.f) (3)-(1) (<f1- (1) ~.J J fl

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Page 105: Durham E-Theses Rhythmic structure in music: a study of

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Ex.4/113(c.f.Elgar, 'Enigma' Variations, 'Nimrod')

.. +

Ex.4/114: Beethoven,six Variations,Op.34,Var.II

Allegro rna non troppo

1:1-.

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b.

Ex.4/ll.5

-a.. b.

Page 106: Durham E-Theses Rhythmic structure in music: a study of

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Ex.4/ll6

1§ •; J I~ J l•;ooJ lja>J~ lij j ll1~ lll~ J I~ Ji¥ J 1•fiJ1·f~ II

It f (Ill I f('lJ' If (!;)JI~ 1¥ J ij r I p>iJ lfl# If 'i I

Jtt..4/ll'1

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Page 107: Durham E-Theses Rhythmic structure in music: a study of

102

Ex.4/118: Brahms,Piano Concerto No.l,I

espress.

Ex.4/ll9: Baeh,Partita No.1 (Solo Violin),Gieue

Ex.4/120: Mozart,serenade ( 1 Eine Kleine Naohtmusik'),K,525,III

T = .s:t.-uc.tu~ ... L~ a.c.c.""'-IP.d to,.,"c.

J.IR..""" HOJ-"''t?\ic. 'K~tJ..,.., S-= Sol.cL,;,,:r,o._

£,c.. ... :Du...-...1:,;,.,., Co..l::our 1( :: l<e.p-el:~ l::t"cr.,.

.::r--I~__,._::.*~Hot ~ .....---,_;, "R~yl:::::;==t-:-T - -r-=-=1 k h h I t\ ~ T"' + .,_ -~ .. ~- .. ..,.,._,..

I e./ l>-

.. pc.-~ • • :

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10 3

Ex.4/12l: Mozart,Quartet in D minor,K.42l,III

!~L&y .. tt, rl· -----l I i§b i f.l If F f I F F r -#r r f I f t t It F

Ex.4/122: Berlioz,Harold in Italz,Op.l6,III

rz!rir=l

~~~;I; ;J liJ l ht) ~~~ JJ

~--------------

Ex.4/123: Ohopin,Piano Concerto NO.l,Op.ll,I

~ I 1bix J 1 w. 11J? 1 r r r 1 r

Ex.4/124: Proko1'iev,Rorneo and Juliet,Op.64, 'Folk Dance'

Page 109: Durham E-Theses Rhythmic structure in music: a study of

'\04

Ex.4/125: Schubert,Impromptu in Ab,Op.90/4

/li~crreftc ::: El ==~==,.----~-"'

t

Ex.4/l26: Baoh, 1 48 1 ,I,Prelude No.24

1-lli::h ~: AU;o: ; . 1 .____,~-""'

II .u I J J I

I I I l __...., - .....

-

~---

Ex.4/l27: Mozart,Serenade,K.320,V.

u~,11cr - - - ...':. - - T - - - - -- l ~· '!' 'r-FJ'Rh' ·:·. ~ 3124 2.2.~ ~+

t.-

1~ b\j I rJ ' J J j ltpt19 ., p? I J. 1 [S I Ja l

Ex.4/l28: Brahms,Piano Concerto Nb.l,III

liR: ; - - - - - - - - - - - - - - - .. ; - -~~p,.l>P --·~J(l)r I I I I I I ,--,--,,,

-t.-

Page 110: Durham E-Theses Rhythmic structure in music: a study of

105

Ex.4/l29: Baoh,Mass in B minor,XXI,'Hosanna'

Ho - SClA -1\A. , /1o - StJA- no.. ,

Ex.4/130: Brahms,Intermezzo in E~,Op.ll7/l

Ex.4/l3l: Baeh,'48',II,Prelude No.l4

>c. I T

Ex.4/132: Mozart,Sonata in D,K.576,I

-

vi

>-----------

Page 111: Durham E-Theses Rhythmic structure in music: a study of

Ex.4/133: Haydn,~uartet,Op.50/l,III

lei }

:

Tj I

1 1

~ ~

I

~ r r } ~ ,. ..

Ex.4/l34: Mozart,~uintet,K.5l6,W

1 1 J I I

J

10 6

l J

I I

J

lot-€i~e wUI.oOI: a,.,.t,C..u(ak."":

T.--------..------,,-------. .----;:=:::t---1 (1>s) r--1!-;:::::::::t,...._,.-\\'s) ~s)~

ct. ....

!""". - • - • - . - . - . - . - . - . - . -·1 I I

Ex.4/135: Beethoven,Sonata in E,Op.l4/l,III

'T,'l>cr-------y--------,----------r

Ex.4/l36: Mozart,Sonata in A~K.33l,I;Var1ation l

>--~---------

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107

Ex.4/l37: Bart6k,Musie for strinis,Pereuasion and Celesta,I

Ex.4/138

A.. b.

Ex.4/l39 1\ - t --

.ei . ~-" !)-~ l.t-.r f.c.-,. ,k_..,. .t- ...

o.: :::r: .:Ir.b- y "YL :I-- X:b :U:b- 7 ,..._, :

I I I l

r r i r r r r r ___,

I / ' ' Ex.4 f40: Debussy,Prelude a l'Apres-midi d'un Faune (ending)

........ ---

r.-=

'f"l-_,-Ltr I

j'

I

.Sb.-u c-bv,...,l f:.;..ele~J,s

~ 14>.""'"" ... Xl-e~th ...

~--------------

Page 113: Durham E-Theses Rhythmic structure in music: a study of

108

Ex.4/Ul

.a.... b. ~ r--1

Ex.4/l42: Beethoven,Sonata in E minor,Op.90,I

>-----

b.

G.

• i-· -·-· -· -·-·-·-·-~-· -·-·-. -·-·-·-· -i -· -·-.-.-.- ·-·- '! H~. i i i I

Page 114: Durham E-Theses Rhythmic structure in music: a study of

109

Ex:.4/14:5: 1 Gaudeamus Iiitur' .r::::::--===: r--r:--1 1 lr-1

J:>c <>lone: 3 •1 4- 4- ~ 1 8

Ex.4/l44: Beethoven,Sonata in D,Op.l0/3,IV

tY

- fl_ ll

l F}'

~u

1 i (; -p~ Ff

y :r:­r.n [7J

Ex.4/l45: Bach, 1 4B',Il,Prelude No.4

.

Rj

1 1 ' -~:::: pr

..

JZ. ::r­[1] [7]

~ -

J. _J, l 1~ .......

.. ~ rl"

'.Jitl.oot:. HR: ~

1 i 1 f>. ___ _ r=r-;:1 f ~ f s

i

Ex.4/146: Beethoven,Piano Tr1o,Op.97,III

I I ,.....+:; 1 1 1

~, I

3 2. 3 1 2

1 1 1 ---.:.-- It---~

r -cresc .

. tJ

rFrl ~ rl - .. :-- :J.--

l Jr£ - .i,i/it)

r---+--.1 r-h ~

--

f --.. ..._._

Page 115: Durham E-Theses Rhythmic structure in music: a study of

11 0

Ex.4/l47: Beethoven,Sonata in C minor,Op.lll,II

Ex.4/149: Brabma,Variat1ona on a Huniarian Soni,Op.2l/2

J>---["1

.s- J>-[4] [4-]

A-- E7 A- ..l>-[t] [~J [4-] [4-]

Ex.4/149: Beethoven,Sonata in C minor;Op.l.O/l,III

hh hh rir:J rir:l hhhh

Page 116: Durham E-Theses Rhythmic structure in music: a study of

1 1 1

Ex.4/15l: Muasoreaky,Picturea at an Exhibition,'The Gnome'

~h sh Rkl~ h cl- N' e(-.,.,.. <(- -r

J:j;:& 1 .5 1 2. 1 2. 1 s II. ' ~:::: t ;::' ~ ~~: .. r--.. ~

~

c) I l I ~ '/ sf sJ sJ- sf 1 Sf $S 12./::C-.

~

r+ -B-..___.-IJ.• '_) ~'!" ~ .....___ -e- •

Ex.4/l52: Beethoven,Sonata in D,Op.l0/3,I

(HR) r - - ............ -- - - -: ( S e,{(4-j """"{; s/.........-.) .Iks: ~;r~t -;-;,T --r·, .. i --:r· ·1· -,·,~rt· i"i ~~ite "

-11111111

HR'7LN

Ex.4/l53: Beethoven,Sonata in E,Op.l4/l,I

P-r·f r-r-r ~c..

Ex.4/l.54

"II "• ,....._

--.r 1.. I ~-r 1.. l ~-1 1; .d...

.. ... ... +: .a.•

: I I

15 1 ~ 12. 15ei:c. '-' '-' w L-.1

:t,L; I I

~ .. ~-... -----'

Page 117: Durham E-Theses Rhythmic structure in music: a study of

11 2

Ex.4/l55: Saint-saens,Quartet,Op.ll2,II

) ""~ I ~

·&I ..... ~ -I-" -t-- ... - - - ._I-' L.. ~ I I.J

r2:z. r* t.a_- ~ t• ~ 4!.· L. I~ • 1,.. ,_

l ~ -• I• .J I** I I I I I

Ex.4/~56: Brahms, Intermezzo in E m1nor,op.ll9/2

Ex.4/15'7: Randel,Viol1n Sonata in D,Op.l/lS,IV ~------------------

tt. .. ... l-Il-t I, I, I -r . .

I eJ . L-.1 L-.J L..J L-....1 L--1 L-....J . ~

A"' I I I I I

·-el .. .. r I -I

'II .. I r .. - a: Rossini,Barber of seville,Overture

Ex.4/~5B

b.

Page 118: Durham E-Theses Rhythmic structure in music: a study of

11 3

Ex.4/l59: Mozart,Quartat,K.590,IV

Ex.4/l60: Mozart,aonata in :te ,K.2132,I

hh ..... fl _:" ..._, .~ .. -l

!-):'

~~---t-·

Gil ---· ~ II. 13:= _,.

..-.:.-~--~- f+·--"

(t{---N"')

~-------------

Ex.4/16l: Bach,English SUite N0.3,Gavotte

h

I

Ex.4/l62: Mozart,Sonata in C,K.330,III

Page 119: Durham E-Theses Rhythmic structure in music: a study of

1 1 4

Ex.4/163: Beethoven,Piano Concerto Nb.4,I

• leJ - -

I ...

Ex:.4/164: Mozart,Symphony No, 40,K,550,III

II ~ o5"4 f .,. •• "'· c) y: X. - I r---..J I l I y

It> ~-tt;~; __.._ .-1' • .4.-....-- --- ,.-:

I -

i-------------

Ex.4/165: Sohumann,Sonata in A minor (Violin and Piano) ,op.105,II

Ex.4/l66: Baoh,Mass in B minor,XII, 'Hosanna'

I h h 1{1, I r.. ! ... 'f>-++ t .. . ~:t: .,. ... • ~ ~#-t ~ ~ t ..........

I~

.. """'-. .. '6 p.

~ ... .. ... ... ~i + .,

Page 120: Durham E-Theses Rhythmic structure in music: a study of

1 1 5

!J _.; ~ . ..---:-:- ---- - .. _ ... . it.! - '1' - -..& ~~ - fi pp f cresc.

··+-:>. •• • _lj!_

r· .. ....

Ex.4/l.6B

a: Mozart,Sonata in F (Piano and Violin) ,K,377 ,II

r--±1 H~~~~~;;==;=~vl·~l 1 u····l 1 1i 2.13

/' r--r

b: Franck,Symphony in D minor,I

t\ j .J l J J J J J JJ,-..

ieJ ~ iJl' ~'D" 'f!lo ~r :

Gl 7J ,l;j, -:r:

Ex.4/l69: Mozart, Sonata in _A (Piano and Violin) ,K.305,I

UIC:r;-'--- - _.- -- .. - - .. - -- .. - . ..,

Page 121: Durham E-Theses Rhythmic structure in music: a study of

1 1 6

EX.4/170: Beethoven,Sonata in F minor,Op,57,I

JC:t.4/171

'----------

Ex.4/l.'l2

~· !'' ...

!-!!- LN- t _,__T.. a t = T?erw:.se;Jul:ivf! cJ-J. (HR) N = Nc.bl..bour-MC<!

f' p p p I

H R: l____l L-.J '--

Ex.4/175i Beethoven,Sonata in F minor,op.2/l,I

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11 6A

Ex.4/173,1: Bach, Musical Offering (as Ex.l/6)

i

-,.- ,J.-,yo J..--r ( c<_-,c) C F1 :Bb fi/,1 AJ, J.,'~- 51>1e[q ,t;~ .c S .c.

i

f.-~---------

Page 123: Durham E-Theses Rhythmic structure in music: a study of

1 1 7

Ex.4/174: Chopin,Ballade No.l,Op.23

HC'c{r:-.-A.te>

Ex.4/175: Corelli,Sonata,Op.5/8,Sarabanda

Jz:--:r:-1 <ii)P~':!-·-·-·i

4 2.

f- ------------

Ex.4/176: :Mozart,Symphon;r No.34,K.338,I

r--------------------, ............. r--------------, ~ I ~ ~ * ~F4====~~~--~* ·~ I ~ I~ ~ ~~ 0 I r=l I . I I rl I

I

qc.& Cr ~ I' 'J,.. v,~...,.. .r-, y 1"'"'1 ,. ill ., _I n .I .J , ""' r;; ... ~ . . I~ I

f[.J 'k r r k -il -il•:iJR-il 41

Ql :!1 ~:.::.~:: iL r :r 7 I ~......--~-.-.

"" f 1 un.n _j).~.,.. t~ti~~~ !~ I

F 1 .... =- ~

I, -&- -8-. . . . . 1' -r

Ex.4/J.77

Rl "- 3

.4---\': I : 1 fl i 'I ]' 4 '3 I 4-: -

.0... [tJ I I l r l 'l r b. ieJ I I 1 r f I r D 1>!

: J!_ _,.,

:

I I

Page 124: Durham E-Theses Rhythmic structure in music: a study of

r..:~,....c~..r

'f r<-·ct..r ~

s,'"'''" s 1 .,-trb:;

1 1 8

Ex.4/178: Bert6k,Ooncerto for Orohestra,II

------------·-

_tt_ - -.. ----~

jeJ il'''"'""#+o lf• •. , ~... .. I'Jv..,_

Jo I ..1 ~3 ,..J _d_.: :

...___!!. 0 f•_.-'

0 2..

.B ,5~ t#• Cff+ B

c 9 7 ?.. 0

5 .:< 0 7 5

)I; l>P

---- I I

[.V~ 1-v r~·~· I~ 'If• fv'-1v._;v

1, w I I I ,.;: l b.JJ Jr":J 41 ~=- !.. 1J ....... [ _...,

--..::__.....-

.:~» Fll S-t C ..__. .dff+ ,Wr)---'1 0

1 0 10 IJ 4 6 "1 (.)

R. o I G lc- 9 2

~· ~ ..... •• ·•r ~......!.. ,..-r-, J 1_1 _L.-

r r~rr.~ ........,

Et1)B H fi• c. 7 c. 7 ). 7 0 I

7 /0 0 /0 5 /[, 3

Ex.4/179: Shostakovich,Symphony Nb.l,III

"J>b b(i) E'b .eb F .s~ ~ Al>(ooj) )b ~ 0 10 II OJ

10 0 q /0 ,, ~

0 ~ -l- ~ ' 7 0

Ex.4/l80: Barber,Adagio for Strings

' !<...._.. el> F---- 5~ A~

7 9 w 0 3 g 10 0 F=O: Ll~o~~o~-------------2--------~~~--~--------~------------------------~

Page 125: Durham E-Theses Rhythmic structure in music: a study of

1 1 9

.lb:.4/J.Sl: Brahms,Inter.mezzo in A,O:p.llS/2

R-'>'

lb:.4/l.82: R.Rogers,1'he King end I, 'llarch ot the Siamese Oh114ren'

Moderato > ..--:::=:;--::; . . >

,., _E:m:_ ~J JJ :bj j j ~ ~ J . I ~ . . -t.J pp I

I . ..,

l!;i;. -:-::. I : .... ---=----ou lu___..7T + 1-'

II - -~ ;I• II,-., ~jj r:J'J_ Q. .b~ j j

~ ;;:

: ..... ;; , ..... _ _ .....

Page 126: Durham E-Theses Rhythmic structure in music: a study of

1 2 0

Ex.4/l83

D# A# E# B# Fx Cx Gx B F# C# G# D# A# E# G D A E B F#. C# E~ Btl F c G D. A' Cp Gil D!l A~ E~ Btl F A!1~ E~!l B!1!1 Fp cp Gil Dp

Ex.4/l85

I I. :;-q~, bb l>l> t AI. .c EJ,. ~ Bl> d. F .a.. c e s

( I '

Ex.4/l86

.c.-.e-~

.... r.-..a..-.c ~-b-.d;

Ex.4/l88: see p.l21

.E:x:.4/189

I~ ~?1 J c s: 2. -5 2. 2 (lo""'l ~s)

Ex.4/l84

3 10 5 0 i ;i!.

11 ' 1 8 3 10 7 1?. ct + 11 " 3 10 5 0 7 2 11 6 1 8 3 10 7 2- 9 4- 11 6

I b )) (If A cjf E

' \ I I

Ex.4/187

F a_•U't 4- : 5 : " : 1.5 : q

4 6

Ex.4/l90

q

.s 1 q

5 1

I \

Sit B '

d#

lb~ • U .11ji i ~ I

F#----?

1--------------

Page 127: Durham E-Theses Rhythmic structure in music: a study of

1 21

Ex.4/188

B# B# B# 9>< ~ 9><:

Elf E! E* Elf e~ ex. e..: eJ{

A# Aft A~ f>e .fx' .f><

ott D~ Dlf Oft b~ b

eH Gb

e~ ef eff c~ cff C#

I dlf d# d# B 8 B

9~ 9ff 9# E E E E

7 elf cit et elf 6 A A A 5 f# t# f# ·~ 4 D D D D 3 b .b b 2 G G G G 1 e e e e 0 c c c

-1 a a a 1----------

-2 F F F F -3 d d d d -4 Bt. B~ Bj, -5 9 g 9 g -6 El. El> E~ Eb -7 c e e e -8 Ab A~ -9 f f

I {

f -i 0 Db OJ, D~ D~ -11 bl. bb

---_G.!_ -b~--1 G~ Gb G~ - --- ~- ---- ---- -- ---- -e-r- -_., e\, eb el> . -1 Cb Cb Cb -15 ab at> a!> _.,

Fb F~ F~ Fl, -i7 -18 db d~ dl> dJ, -19 B~b Bbh Bb.b -20 9b 9~ 91> 9~ -21 Ebb. EH Ebb Ebb -22 Cb Cb eb -23 Abl> Abb Ab.J, -24 fl. fb H fi -25 Db~ D~b Dbb D~b

Oi234 5678910110 2 3 4 5 6 7 8 910 11 0 1 2 3 4 5 6 7 8 910 11 0 2 34 56

Page 128: Durham E-Theses Rhythmic structure in music: a study of

1 2 2

Ex.5/l

.0... h h h b. rl rl rl

If I if rlf rl L--3 _J L-;;......J L-3----' 3j I I311 L31Jl3

If ric r·lt rl clr tlr tir

Ex.5/2: Beethoven,Sonata in G,Op.l4/2,I

Ex.5/3: SohumaDD,Album tor the You!!i,Op.68, 'Soldiers' March'

l R :;· L - - - - - - - - - - - - -

~ rl ~ ll~ -~ t\ .J\ _I. ~_h .. . :

tJ

f r' r' f v v .. ~ .. ~ .. .. -- .. IR~ ~

r OJ ;;t

Ex.5/4: Bart6k,Alleero Barbaro s:F=l ~ d:. '1"-84 (~fi-~~~~~ll~~~~~~~i::-r~----:::.t~-~-~>1'~

-, ... · ...... --·-···~1 ~.===1=t---J~11· ..... - ... '-",t~ ?'f - ?',. -?'f ~

~--------------- --

..

Page 129: Durham E-Theses Rhythmic structure in music: a study of

1 2 3

Ex.S/6: Brahms,Rhapsody in Eh,Op.ll9/4

t .... ~··~··. ,.,. .. ~ ·~··>" ib\ i F U I tf I U I C- r I r r I r tJ I lt IF ti I ;tj J l J J l.u: ... st'~ite . 4,j - "·""~ G) <!!>

Ex.S/7: Stravinsky,The Rite of Spring,'Danses des Adolesoentes'

2/4 metre pre-estd, by pitch pattern repetition

Estu:!=Fl=l Fri, l=r"l4i-· ~~ ffh--~-. -._.-_.~..-----·--.-.--1-·¥-·~--;·1 ,-. _--.. --~, !-------------

~ r r r rl c c r r I r Fe F IL.ll!!r tc rlt.c..ulw..rltu..r I I I -I -l-: . >f.)>P :-i ---1

Structural timelengths F ~r-~ . r from dynamic accentuation: R. " . 3 4

E%.5/B: Beethoven,Symphony Jio.6,I ,. .... .1..1

~M.----------~------------~------~--------------------~r-----

lj•J ;gp m 1® m '"'"' 1 .. , ~ '" '" '"'"'tu rn1t wa1ra u, EE£~ 1 ~ -~ ~ (ii) . CI-CS'C.. . _::: _,;. - - - - - - - - - - - - - T err .............. ~ --- -- -tf»

Page 130: Durham E-Theses Rhythmic structure in music: a study of

1 2 4

Ex.5/9: Beethoven,Symphony No.3 ('Eroica') ,IV

.Ex:.5/l0

Ex. 5/10 .1

J ~108

Ex. 5/10.2

VI '-'I

Page 131: Durham E-Theses Rhythmic structure in music: a study of

1 2 5

Ex.5/12: Beethoven,Quartet in C:jf minor,op.l31,IV

HR: i;l ~;::r =F;=q==~:l(t:;::l =r=;q=· ::r.;'*;;::~, ==:=) * (~) 4- 1 1 ;l. + 1 1 2.

Ex.5/13: Haydn,Symphony No.97 ('Salomon') ,IV

Ex. 5/15 h -f*iF-1~ ..._, ----....

1§ U tJJ II

~ ......., v___,.

r r r r r Ex. 5/14: Mozart, Duo for violin and viola, K.423, III

......... _____....

~1\JJ .. • • -• ~ .. -~ . a- ~- -., ~-E ~ -~.,. • ~ ,..--.

I~ ® _,, ~-~- ~~-~ ~ 0

- -

Ex.5/16: adapted from: Beethoven,Sonata in Eb,Op.58/3,IV

r

6.

Page 132: Durham E-Theses Rhythmic structure in music: a study of

1 2 6

Ex.5/l7: Lassus,Cbanson, 'Bon Jour .14on Coeur'

f~-r;.,:?-t; f" ~fi'l 1'*'1 r;--r~;--~-r- r ._..A.--.- r-r -t ,

be" j ovr 1'>.0>-. <4?.ur b.. jour MO. ck.u..-

:£~:.5/ls f I F F 1 F ' 1 i lr f i r ~r ; rr i ~, ~,D" I r I '-= I e..tc. a.s <J,ve -see II

(#A~f------,

t -..I

(rltt=t===:::::;--(i~~l~· ;...:..:i . ·.;::::: =r=t-J:-_~~~=--=-=-:..::j--rbP- -pq---,--*w-=- =--~j--~-,____,~l>f> t.e.

(~.

~---------------

Page 133: Durham E-Theses Rhythmic structure in music: a study of

1 2 7

Ex.5/l9

Schering

I§¢ J J J I fFA@ J J ~ I r r · J 4 tJ wJ J I Sachs

I~ 2 61 J I J J J I J I J .J J I r r· J I rl tJ I J Gomboai

l~i J J J J Jj.J. J J J~tt:r J 111iJ

"8.%.5/m: Rore,lladrical, 'Q,uando Lieta Sperai'

~---- -------------

~ r---· Fr h 1-*~P - - - J::;"--4;-;;::;:::::::;:::::+..,

.4- £a a 2. ' 2 2

Page 134: Durham E-Theses Rhythmic structure in music: a study of

Ex.5/21: Brahms,Piano Concerto Nb.l,III

Suiosi.<L. -rtdl-

ror-t·-.e:

Ex.5/22: Janaoek,Sinfonietta,IV

1 2 8

6

1 = :;:,,;..._cf-,emol.. qr-ouri"J &t:cl = ?-- -.JLsf:cJ.L':tl/..erJ. me C"r"­/\ ""Ter.ic o..c.c.e.,d:

~---

Page 135: Durham E-Theses Rhythmic structure in music: a study of

1 2 9

Ex.5/23: Bach,Orahestral SUite No.2 in B minor, Badinerie

J< s·,...--- ----, ........ ~-------- -- ---. ........ J.s .... ----)>c:'l Frl Fi"=l FFf"W~ ~ J:;=h h t5=

T

t -- -~,

Ex.5/24: Bizet,L'Arlesienne,SUite No.l,I,Overture

~·~=h=l~*~l>r==i~~)==) r=:l~*l>;p-P rfl";J::~/=·. ·~·~:-:-:,·.·_:.~~-;~~~~ 44 '1 1 3 13 1 1 14-+ 2..2.2..4 +4 2..2.224-4- 7 e-tc ...

l§b\c -4 a I LJ ¥0 tJrd Jrd I tim J J IS J] J J ISJO;J IJtt

~----------- -----

Ex.5/25: l4ozart,Violin Concerto in G,K.216,II

Ex.5/26: Berlioz,Harold in Italz,I

Page 136: Durham E-Theses Rhythmic structure in music: a study of

1 3 0

;

JJ..5/27: Brabms,Symphony N:>.2,II ·

... .u.ll A -r -- --- ---- '*- - - -- r--------

f-rl I ~ ie! ···~--- .... ~ ~.,. 't· ··~·~':"~=i .. ., •

f"""' ~ --) ~ J -..~ J---J . . .---..

I..P yo co J>.P

I I I 1 ., I ,-----..... ,, . ....___ ... .., .. _ .. ..,

l' • .,.., r :f

Ex.5/28: DvorBk,Slavonic Dances,Op.46,I

.. • • *· n ~ .. •

c) - -....., • I I ,., r

_I j_ ...L . -!-----------------

Jx.5/29: Tchaikovsky,Piano Concerto NO.l,I

A~rono~~,~~~ ~*R~ ~~R:=b=l* r=l=l-1*~~1 -----.. --:--.. -----:----.

Page 137: Durham E-Theses Rhythmic structure in music: a study of

1 3 1

Ex.5/30: Brahms,Symphony N:l.2,I

Ex.5/31: Shostakovioh,Symphony No.1,II

~---~---

ff-~· ----..A Fl. ......, I I __._ A - ,....., I· I ...... I f

i ,..a... ~.lo l.~ _'t. j~.._ -IJ~ 1L J "

l...l..J. ~ ~~

~ ~ ... .,. '> -" ( " , , Fl ' r ,1111 r r

_f\ \1.-l: . . . v@ sc..y

_L J ~

... , ...

II ,-.3). • "£- I ~ l. - I

,.... l fl _._1

~~ I J 1 I - !!!--

l~l:Eil r f

~~ I l !WI / / b. 1~ :,; ~ ~ bi ; I~ ... f .. -

@> . . . .

eJ - -~--;J

.. '· ~

:;t ~ .,...

Page 138: Durham E-Theses Rhythmic structure in music: a study of

1 3 2

Ex.5/32: Stravinsky,L'Histoire du Soldat,'Marche du Soldat'

Top

sr- --~-- -----I ~p ~ ~ >

~--------------

Ex.5/S3

a:Debussy,Nbcturnes,II,'F3tes'

Top line relative /~f~~~~~~==~========~~~~~~~~=:~------y~~~ to accompaniment : I.A',IDI~ i ~ )lc: r=J tk) rl rl ~J rl

'1 i '7 1 7 17 1 7

.a..

Page 139: Durham E-Theses Rhythmic structure in music: a study of

Ex. 5/33 otd.

b:Ravel,Introduotion and Allegro

Top line relative to accompaniment :

b.

c.

1 3 3

E%.5/34: stravinsky,Blmphony of Psalms,lli

Top line:

J:a72. II - .......,

leJ J:..-r f _.!._f I I

~ ~- -~ 1'-f E- ....... in e:1"' ~o.£;.

~~~ :

... ~

Ex.5/35: Ravel,Quartet in F,II

I ~

. t!t':'C-. -·-· -· -~'JJ

'ltf-'·-·R-.· -·-·-1 i • i

(It) (8) ('it)

........._ ,..._. ' I I

be.- ~- so- rul.l\-tc.. - bV,S) {.....,-ct ... -l:e.

... I ... u I

Ass=vif

.J·='IZ tl~~~~~~~~~~~~~~

.de..

i---- -----

Page 140: Durham E-Theses Rhythmic structure in music: a study of

1 3 4

Ex.5/36: Sohoenberg,Six Little Piano Pieoes,Op.l9,I

Leicht, zart (),)

r ppp

-

etwas ziigernd - fliichttg - - - - - - - ~a~ H .. b~

) ~ p --- _tt-

~ ppp - Jt~ - ~ >

~ ~ ..::. ·qt: yr.:::::::: t) -

-

-;r ~ra = . ib~l _ft_

F leililt - ..... - l!!!!!!oo

pp lojW'-"' v ~~~ =

Page 141: Durham E-Theses Rhythmic structure in music: a study of

1 3 5

Ex,5/36b

--..., 3 1 1 (11 3

Page 142: Durham E-Theses Rhythmic structure in music: a study of

13 6

.Ia:.5/38 1:::;::::; 1'.,;'"1 I I I''~ 1112.1111.21 ·1

''~i J r r 1 r r 1 r r r 1 r .r PJ ,0..,

b.

·Ex.5/39: Sohoenberg,Piano Conoerto,I

a. ~ ,.,r- - - - - - - - - - - - - - -·

~~· rl I I

liE:!>?

b,

.<1)11-T---1 [.3J [3] [6] (~] [Z] [2"1 L(.]

Ex.5/40: Mozart,Sonata in A,K.33l,III (adapted)