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e-Workbook for TECHNIQUES AND MATERIALS OF MUSIC From the Common Practice Period Through the Twentieth Century ENHANCED SEVENTH EDITION Part IV: Twentieth-Century Materials Assignments in worksheet format by Thomas Benjamin Michael Horvit Timothy Koozin Robert Nelson

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Page 1: e-Workbook - University of Houstontkoozin/Workbook_part_4.pdf8 Quartal and Secondal Harmony 35 9 Polyharmony and Polytonality 41 10 Intervals in Twentieth-Century Music 47 11 Twelve-Tone

e-Workbook for

TECHNIQUES AND MATERIALS OF

MUSIC From the Common Practice Period Through the

Twentieth Century

ENHANCED SEVENTH EDITION

Part IV: Twentieth-Century Materials

Assignments in worksheet format by

Thomas Benjamin Michael Horvit Timothy Koozin Robert Nelson

Page 2: e-Workbook - University of Houstontkoozin/Workbook_part_4.pdf8 Quartal and Secondal Harmony 35 9 Polyharmony and Polytonality 41 10 Intervals in Twentieth-Century Music 47 11 Twelve-Tone

Part IV: Twentieth-Century Materials

2 Further Concepts for Analysis 3

3 Rhythmic and Metric Devices 4

4 Tertian Harmony 5

5 The Diatonic (Church) Modes 11

6 Pandiatonicism 19

7 Exotic (Artificial, Synthetic) Scales 27

8 Quartal and Secondal Harmony 35

9 Polyharmony and Polytonality 41

10 Intervals in Twentieth-Century Music 47

11 Twelve-Tone Serialism 53

12 Additional Contemporary Procedures 59 Blank Score Paper 61

tkoozin
Line
Page 3: e-Workbook - University of Houstontkoozin/Workbook_part_4.pdf8 Quartal and Secondal Harmony 35 9 Polyharmony and Polytonality 41 10 Intervals in Twentieth-Century Music 47 11 Twelve-Tone

&

?

a.

ww

w

b

b

b

wb

b.

w

ww

wb

c.

ww

ww

b

#b

ww

n#

&

?

d.w

w

w

b

b

w

w

w

b

Which examples above are equivalent in their interval content? (There are two such pairs.)

__________________________

e.

w

w

#

#

w

w#

f.

ww

w#

#

w

&

?

a.

2. Write transpositions for Examples 1a–1d above that each yield an entirely new collection of notes.

It is not possible to do this for Examples 1e and 1f. Why? ________________________________

Hint: For help on this exercise, read about the transposition factor in Part IV, Unit 1.

b. c. d.

e-Workbook for Techniques & Materials of Music Name _______________________

Part IV, Unit 2. Twentieth-Century Materials: Further Concepts for Analysis

1. Analyze the folowing chords employing the Hanson, Persicheti, and Hindemith (root designation) systems

as well as pitch- and interval-class theory. Be sure to play and listen to the qualities of each chord.

3

Page 4: e-Workbook - University of Houstontkoozin/Workbook_part_4.pdf8 Quartal and Secondal Harmony 35 9 Polyharmony and Polytonality 41 10 Intervals in Twentieth-Century Music 47 11 Twelve-Tone

& 4

5

a. (3 + 2) (2 + 3)

& 8

7

b. (4 + 3) (3 + 4)

& 8

12

c. (3 + 3 + 2 + 2 + 2)

& 8

6

4

2

8

5

4

2

d.

&

a.

j

œ

j

œ

j

œb

J

œb .œn

2. Apply bar lines and metric indications as appropriate to the following examples. Consider the use of

changing meters.

J

œœ

œbœ

œ

J

œ

R

œ≈

J

œbœ

œb

J

œ#œ

J

œ#œ

œœ

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œn

J

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&

b.

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œ

œœ

œœ

œœ

œœ

œœ

œ œœ

œœ

œ

j

œ œ

j

œœ

œœ

œ

œ

œ

œ œœ

œœ

œœ

j

œœ

j

œ .˙

e-Workbook for Techniques & Materials of Music Name _______________________

Part IV, Unit 3. Twentieth-Century Materials: Rhythmic and Metric Devices

1. Create your own melodies following the given metrical patterns. Be sure to include all necessary musical

markings (tempo, articulation, dynamics, etc.) so that the melodies are ready to perform.

4

Page 5: e-Workbook - University of Houstontkoozin/Workbook_part_4.pdf8 Quartal and Secondal Harmony 35 9 Polyharmony and Polytonality 41 10 Intervals in Twentieth-Century Music 47 11 Twelve-Tone

&

?

a.

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˙

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˙

b.

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b

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b

e.

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˙

#

#

&

?

f.˙

˙

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˙

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˙

g.˙˙

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b

b

˙

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˙

b

b

Ó

h.

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˙˙

#

##

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i.

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œbœb

œœ

œœ

˙

˙

b

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˙

b

b

j.˙

˙˙

˙

˙˙

˙#

#

&b c

With lighly swung eighths

j

œ

œ

J

œœ

œ

>

œ œb

Fmaj7

j

œ

œb

J

œ#œ

œn

>

œœ

D9

œn

G9 #

9 C9 #

5

&b

Fmaj7 F9 b9

b5 Bbmaj9 D9 b

5

&b

G9 b5 Cb

9#

5 Fmaj9

e-Workbook for Techniques & Materials of Music Name _______________________

Part IV, Unit 4: Tertian Harmony

1. Identify the given chords, using lead sheet chord symbols.

2. Complete the melody in the same style using the chords given.

5

Page 6: e-Workbook - University of Houstontkoozin/Workbook_part_4.pdf8 Quartal and Secondal Harmony 35 9 Polyharmony and Polytonality 41 10 Intervals in Twentieth-Century Music 47 11 Twelve-Tone

&

?

c

c

Wolfishly

F

œœ

œœ

œ

œ œ#

œ#œ

œœ œb

œbœ

œœ

œ#

&

?

.˙ œœ

œ

œb œ

œbœb œn

œ# œœ

œ#

&

?

œœ

œœ

œ œ# .˙œ#

œ#œ

œn œ

œœ

&

?

œœb

œbœ

œ

F

œœ œ#

œ#œ

œn

w

Tertian Harmony Name _______________________

3. Add an accompaniment to the following melody.

6

Page 7: e-Workbook - University of Houstontkoozin/Workbook_part_4.pdf8 Quartal and Secondal Harmony 35 9 Polyharmony and Polytonality 41 10 Intervals in Twentieth-Century Music 47 11 Twelve-Tone

&

?

b

b

4

3

4

3

Con amore

p

˙ œ œ

œ

œ

œ

œœ

œ

˙ œ œ

œœ

œ

œnœ

œ

cresc.

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Dmaj7

&

?

b

b

P

Gmaj7

dim.

.˙#

Amaj7

œ

œœ

Cmaj7

&

?

b

b

p

j

œ

œ

Fmaj7

œ

.œj

œ

Bbmaj7

cresc.

œœ œ#

Ebmaj7

&

?

b

b

P

œnœ

œ#

Gmaj7

dim.

œNœ œ#

Bbmaj7

p

Dmaj7

Tertian Harmony Name _______________________

4. Complete the accompaniment based on the given chords.

7

Page 8: e-Workbook - University of Houstontkoozin/Workbook_part_4.pdf8 Quartal and Secondal Harmony 35 9 Polyharmony and Polytonality 41 10 Intervals in Twentieth-Century Music 47 11 Twelve-Tone

&

?

#

#

#

#

4

3

4

3

Avec movement et sans poire

P

œ

.

.˙˙

j

œ

œ

œ

œ

œ

œ˙˙

œœ

j

œ

œ

˙˙

˙

.

.

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œ

œ

˙

˙˙

&

?

#

#

#

#

œ

.

.

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œ ˙

œ

œœ

œ

œ

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œ

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&

?

#

#

#

#

œ

˙˙˙

œ

˙

˙˙

œ

˙˙˙˙

&

?

#

#

#

˙˙˙˙

œ

˙˙

˙˙

Tertian Harmony Name _______________________

5. Analyze the harmonic content of the accompaniment, then complete the melody.

8

Page 9: e-Workbook - University of Houstontkoozin/Workbook_part_4.pdf8 Quartal and Secondal Harmony 35 9 Polyharmony and Polytonality 41 10 Intervals in Twentieth-Century Music 47 11 Twelve-Tone

&

?

4

3

4

3

Andantino

p

œ

˙

˙˙

œ

˙˙˙

Œ

œœ

œ œœ

œœ

œœ

J

œ

‰œ

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&

?

œœ

œœ

œœ

J

œ‰

œœ

œ œœ

œœ

œœ

œœ

œœ

œœ

&

?

J

œ

œœ

œ œœ

œœ

œœ

J

œ

‰œ

œœ œ

œœ

œœ

œ

J

œ‰

œœ

œ

&

?

œœ

œœ

œœ

œœ

œœ

œœ

œœ

œœ

œœ

œœ

œœ

Tertian Harmony Name _______________________

6. Complete the accompaniment in the same style as the opening measures.

9

Page 10: e-Workbook - University of Houstontkoozin/Workbook_part_4.pdf8 Quartal and Secondal Harmony 35 9 Polyharmony and Polytonality 41 10 Intervals in Twentieth-Century Music 47 11 Twelve-Tone

&

?

c

c

Mit Sehnsucht

F

œ#˙˙

˙˙

b

˙ œ#

w

w

w

ggggg

œœ

bb œn

˙˙

j

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œ

w

w

w

gggg

w

w

w

gggg

simile

w

w

wb

w

w

w

b

b

&

?

w

w

w

b

b

ww

w

w

ww

w

w

w

w

w

w

w

w

&

&

?

b

b

b

C

C

C

Moderato

P

œ#œ

œnœ

Œ

Œ

P

œ œbœ

œ#œ

œ

œ#

œ

œ

œ#

n

#

œ

œ

œn

b

n

œ

œ

œ

œ

#

œ œbœ

œnœ œ#

œ

œbœ

œn œœ

œœ

œbœ

œœ

œ

Tertian Harmony Name _______________________

7. Analyze the harmony, then complete the upper parts.

8. Complete the accompaniment and analyze fully.

10

Page 11: e-Workbook - University of Houstontkoozin/Workbook_part_4.pdf8 Quartal and Secondal Harmony 35 9 Polyharmony and Polytonality 41 10 Intervals in Twentieth-Century Music 47 11 Twelve-Tone

&

a. Phrygian

w

&

b. Mixolydian

wb

&

c. Aoelian

w

&

d. Dorian

w

&

e. Lydian

w

&

f. Locrian

w#

?

g. Dorian

w

?

h. Mixolydian

w

?

i. Phrygian

w#

e-Workbook for Techniques & Materials of Music Name _______________________

Part IV, Unit 5: The Diatonic (Church) Modes

1. Construct the indicated modes on the given tonic pitches. Use key signatures.

11

Page 12: e-Workbook - University of Houstontkoozin/Workbook_part_4.pdf8 Quartal and Secondal Harmony 35 9 Polyharmony and Polytonality 41 10 Intervals in Twentieth-Century Music 47 11 Twelve-Tone

&

?

#

#

8

7

8

7

Con animaa.

f

œœ

œœ

œœ

œœ

œœ

œ-

œœ

œœ

J

œ

&

?

#

#

œœ

œ

œ

-

cresc.

œœ

œœ

œœ

œœ

œ

-.œ

-

ƒ

œœ

œœ

œœ

œ

&

?

#

#

œœ

œœ

j

œ

f

œœ

œ˙

.œ-

œœ

F

˙ .œ

The Diatonic (Church) Modes Name _______________________

2. Harmonize the following melodies using modal harmony.

12

Page 13: e-Workbook - University of Houstontkoozin/Workbook_part_4.pdf8 Quartal and Secondal Harmony 35 9 Polyharmony and Polytonality 41 10 Intervals in Twentieth-Century Music 47 11 Twelve-Tone

&

?

#

#

8

3

8

3

Tempo di Valseb.

P

œ

J

œœ

J

œ.œ#

œœ

œj

œ

&

?

#

#

œœ

œœ#

œœ#

J

œ

œ

j

œ

&

?

#

#

œ

J

œœ

J

œ

.œnœ

œœ

œœ

&

?

#

#

œ

J

œœ

J

œ.œ

œnœ .œ

The Diatonic (Church) Modes Name _______________________

13

Page 14: e-Workbook - University of Houstontkoozin/Workbook_part_4.pdf8 Quartal and Secondal Harmony 35 9 Polyharmony and Polytonality 41 10 Intervals in Twentieth-Century Music 47 11 Twelve-Tone

&

?

b

b

4

3

4

3

p

Melancoliquea.

j

œœ

œ

œ

œ

œ

œ

œ

˙

œœœ

œ

œ

œ

œ

œ

˙˙

˙œ

œ

œ

œ

œ

œ

œ

.

˙

œ

œ

œ

œ

œ

&

?

b

b

˙

œ˙

œ˙

œ.˙

&

?

b

b

J

œœ

˙

œ

œœ

œœ

œœ

œœ

œ

œœ

œ

&

?

b

b

J

œœ

œœ

œœ

œ.˙ .˙

The Diatonic (Church) Modes Name _______________________

3. Complete the following exercises in the same style as the opening measures.

14

Page 15: e-Workbook - University of Houstontkoozin/Workbook_part_4.pdf8 Quartal and Secondal Harmony 35 9 Polyharmony and Polytonality 41 10 Intervals in Twentieth-Century Music 47 11 Twelve-Tone

&

?

b

b

b

b

8

3

8

3

b. Gracieuse

P

‰œ

œœ

œ

œœ

œ

J

œ

œ

œœ

œœœ

.œ œœ

œœœ

j

œœ

œ

œœœ

œœ

œ

J

œ

œœ

œœœ

&

?

b

b

b

b

œœœ

.œ œœ .œ œ

œœ

œœ

&

?

b

b

b

b œœ

œœ

j

œ .œ œœ

&

?

b

b

b

j

œœ

œœ

.œ .œ

The Diatonic (Church) Modes Name _______________________

15

Page 16: e-Workbook - University of Houstontkoozin/Workbook_part_4.pdf8 Quartal and Secondal Harmony 35 9 Polyharmony and Polytonality 41 10 Intervals in Twentieth-Century Music 47 11 Twelve-Tone

&

?

8

6

8

6

p

Moderatoc.

œ

j

œœ

J

œ

œœœ

J

œœœ

œœœ

J

œœœ

.œœ

œœ

j

œ

œœ

œ

J

œœ

œ

œœœ

J

œœœ

.œœ

œœ

œœ

.œœ

œœ

œœ

&

?

œ

j

œ

œ

J

œ .œœ

œœ

œœ .œ

œœ

œœ

œ .œœ

œ .œ

&

?

4

3

4

3

p

Comodod.

˙œ

œ

Al le

˙

˙

œ

œ

˙˙

˙

bœœœ

lu iah,

˙

˙

b

b

œ

œ

˙

˙œœ

Al le

˙

˙

œœ

˙

˙

œ

lu iah,

˙

˙

˙œ

(etc.)

˙œb

- - - - - -

&

?

œœb

œœ

œbœ

œbœ

œ˙

œbœ

œœ

.˙ .˙

The Diatonic (Church) Modes Name _______________________

16

Page 17: e-Workbook - University of Houstontkoozin/Workbook_part_4.pdf8 Quartal and Secondal Harmony 35 9 Polyharmony and Polytonality 41 10 Intervals in Twentieth-Century Music 47 11 Twelve-Tone

&

?

4

5

4

5

F

Allegro lunaticoe.

œ

œœœ

œ

œœœ

œœœ

œœœœ# œœ

œœ

œ

œœœ

œ

œœœ

œœœ

œ#œœ œœ

˙

œ

œœœ

œ

œœœ

œœœ

œ œœ

œœœœœ

œ

œœœœ

œ

œœœœ

œœœœ

&

?

simileœ

œœœœ

œ

œœœœ

œœœœ

œ

œœœœ

œ

œœœœ

œœœœ

œ

œœœœ

œ

œœœœ

œœœœ

œ

œœœœ

œ

œœœœ

œœœœ

&

?

œ

œœœœ

œ

œœœœ

œœœœ

œ

œœœœ

œ

œœœœ

œœœœ

œ

œœœœ

œ

œœœœ

œœœœ

œ

œœœœ

œ

œœœœ

œœœœ

&

?

œ

œœœœ

œ

œœœœ

œœœœ

œ

œœœœ

œ

œœœœ

œœœœ

˙

.

.

.

.

˙˙˙˙

The Diatonic (Church) Modes Name _______________________

17

Page 18: e-Workbook - University of Houstontkoozin/Workbook_part_4.pdf8 Quartal and Secondal Harmony 35 9 Polyharmony and Polytonality 41 10 Intervals in Twentieth-Century Music 47 11 Twelve-Tone

&

?

b

b

b

b

4

3

4

3

Andantino

P

f.

œ

œ

œ .œ

J

œœ.œ

j

œ

œœ œ

J

œ

œ.œ

j

œ

œ

3

œœœ.œ

j

œœœœœœœœ

3

œœœ˙

&

?

b

b

b

b

œœ.œ

j

œœ

3

œœœ .œ

j

œœœœœœœ

&

?

b

b

b

b

œœœœ œ

œœœœœ

3

œœœ˙

The Diatonic (Church) Modes Name _______________________

18

Page 19: e-Workbook - University of Houstontkoozin/Workbook_part_4.pdf8 Quartal and Secondal Harmony 35 9 Polyharmony and Polytonality 41 10 Intervals in Twentieth-Century Music 47 11 Twelve-Tone

&

?

c

c

Con moto

p(SATB)

Œ

œ

œ

œ

œ

œ

œ

b

Oooo

Œ

œ

œ

b œ

œb

œ

œ

œ

.˙œ

œœb

œ

œb

.˙œb

œœ

œ

.˙œb

˙

˙

œœb

˙

&

?

œœ

œbœ

œœb

˙ œ œœ

œb wb

&

?

c

c

Andantino

œœ

œ

œœ

œ

2. Provide accompaniment for the given melody.

œœ

œœ

œœ

œ

&

?

4

3

4

3

c

c

œ

œœ

œ

œœ

œ

œ œœ

œœ

œ

œw

e-Workbook for Techniques & Materials of Music Name _______________________

Part IV, Unit 6: Pandiatonicism

1. Complete the lower voices in the texture and style of the opening measures.

19

Page 20: e-Workbook - University of Houstontkoozin/Workbook_part_4.pdf8 Quartal and Secondal Harmony 35 9 Polyharmony and Polytonality 41 10 Intervals in Twentieth-Century Music 47 11 Twelve-Tone

&

?

b

b

c

c

f

Maestoso

œ

œœ

œ

œœ

.

.

.

œ

œœ

j

œ

œœ

3. Complete the example in the texture and style of the opening measures.

œ

œ

œ

œ

œ

œ

œ

œ

œ

œœ

œ

œœ

œ

œœ

œ

œœ

œ

œ

œ

œ

˙

˙

&

?

b

b

œ

œœ

œ

œœ

œ

œœ

œ

œ

œ

œ

œ

œ

œ

œœ

œœ

œ

&

?

b

b

œœ

œœ œ

œœ

œ

&

?

b

b

œœ

œœ œ

œ .œ

j

œ w

Pandiatonicism Name _______________________

20

Page 21: e-Workbook - University of Houstontkoozin/Workbook_part_4.pdf8 Quartal and Secondal Harmony 35 9 Polyharmony and Polytonality 41 10 Intervals in Twentieth-Century Music 47 11 Twelve-Tone

&

?

b

b

4

3

4

3

Languidly

p

œ

œœœ

œ

Œ

œœ

œ

˙˙˙

œœ

œ

œ

œœœ

œ

œœ

œ

œ

˙˙˙

˙

œ

œ

œœœ

œ

œœ

œ

œ

˙˙˙

œœ

œœ

œœ

œ

œœœ

œ

œ

˙˙˙

&

?

b

b

&

?

b

b

&

?

b

b

Pandiatonicism Name _______________________

4. Continue in the same style for at least 20 additional measures.

21

Page 22: e-Workbook - University of Houstontkoozin/Workbook_part_4.pdf8 Quartal and Secondal Harmony 35 9 Polyharmony and Polytonality 41 10 Intervals in Twentieth-Century Music 47 11 Twelve-Tone

&

?

4

2

4

2

Like a fanfarea.

f

œ

œœ

‰œœœ

‰œœœ

œœ œ

œœ œœ œœ

œ

œ

R

œ

r

œ

R

œ

œ œœœ

≈œ

œ

œ

.œœ

&

?

4

3

4

3

4

2

4

2

b.

œœ

œ

œ

.œœœ œ œ œ œ

œ

œ

œœ œ

œ

œ

œœœœœb˙

&

?

c

c

Pesante

f

Œ

˙

˙

˙

œ

œ

œ

b

b

Œ ˙

˙

˙b

œ

œ

œ

b

ww

œ˙

œ

˙

˙

b ˙

˙b˙

˙˙

˙b

&

?

.˙œ

˙b˙

w w

Pandiatonicism Name _______________________

5. Complete the given music in the same style.

22

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&

?

8

5

8

5

8

6

8

6

8

5

8

5

8

6

8

6

Con brioc.

œ˙

œœ

œœ

˙˙

˙

˙

J

œœ

œ

œ

œ

Π.

j

œœ

œœ

.

.

.

œœ

œ

.

.

.

œœ

œ

œ

.œ œ

œœ

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.

.

.

.

œœ

œ

œ

œœ

œœ

œ

j

œœ

œœ

&

?

8

5

8

5

8

6

8

6

8

5

8

5

8

6

8

6

œœ

œœ

œœ

j

œœ

œœ

œ

.

œ

.

œ.

œ.

œ. .˙

Pandiatonicism Name _______________________

23

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&

?

b

b

c

c

ƒ

Con forzaa.

Œ

œ

œœ

>

œ

œœ

>

œ

œœ

>

Œœ

œœ

>

œ

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>

œ

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>

w

w

œ

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>

œ

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>

Œ

œ

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>

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>

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>

Œ

œ

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>

˙

˙

˙

˙

œ

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>

œ

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>

œ

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>

œ

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>

œ

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>

œ

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>

œ

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>

œ

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>

œ

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>

œ

œœ

>

w

w

&

?

b

b

&

?

b

b

&

?

b

b

Pandiatonicism Name _______________________

6. Continue in the same style for 10 to fifteen measures.

24

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&

?

b

b

4

3

4

3

P

Glissantb.

Œ

œœ

œ

˙˙

˙

œœ

œ

œ

˙˙˙

œœ

œœ

œ

˙

˙˙

œœ

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œ

˙˙˙

&

?

b

b

&

?

b

b

&

?

b

b

Pandiatonicism Name _______________________

25

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&

?

b

b

c

c

Joyeuxc.

f

˙

œœ

œ

œœ

œ

œ

œœ

œ

œ.

œœ

œ œ œœ

œ

œ

œœ

œ

œ

œœ

œ

œœ. œ œ

œœ

œ.

œ

œœ

œ

œ

œœ

œ

&

?

b

b

&

?

b

b

&

?

b

b

Pandiatonicism Name _______________________

26

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&

a. whole tone

w

&

b. octatonic

wbw

&

c. pentatonic

w

&

d. Hungarian minor

w

&

e. octatonic

wwb

&

f. pentatonic

w

?

g. whole tone

w

?

h. Hungarian minor variant

w

?

i. whole tonew#

e-Workbook for Techniques & Materials of Music Name _______________________Part IV, Unit 7: Exotic (Artificial, Synthetic) Scales

1. Construct the indicated scales on the given tonic (center) pitches.

27

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&

?

4

2

4

2

a. Heftig

f

œœ

œbœb .œn

J

œ#œ

œœ

œ#œ

&

?

.œ#

j

œœ#

œœ

œœ

œ œbœb

œ

œ

&

?

œ#œ œb

œb

F

œbœb

œ

œbœb

œbœ

P

˙

Exotic (Artificial, Synthetic) Scales Name _______________________

2. Determine the scale of the given melodies, then write accompaniments. Experiment with different

harmonic structures and different textures.

28

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&

?

b

b

8

6

8

6

b. Amabile

œœ

œœ

œ#œ

œœ

œœ

j

œ

&

?

b

b

œ#œ

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œ

œ

j

œœ#

œœ

œœ

&

?

b

b

œœ

œœ#

œœ

œ#œ

œœ

j

œ

&

?

b

b

œœ#

œœ#

œ

œœ

œœ

œœ

œ

j

œ .˙

Exotic (Artificial, Synthetic) Scales Name _______________________

29

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&

?

4

3

4

3

Assez lentc.

œœ

œ

œb˙b

œœ

œœ

œ

&

?

˙œb

j

œœb

j

œb

œœ

&

?

.œ#

j

œœ

j

œœb

œb˙b

œ

&

?

˙œ

j

œœ

œ

.˙b .˙

Exotic (Artificial, Synthetic) Scales Name _______________________

30

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&

?

b

b

b

b

b

b

b

b

b

b

b

b

c

c

F

Andantea.

‰œ

œœœ

œ

œ

œ

œœ

œœœ

‰œ

œœ

œ

œ

œ

œ

œœ

œœ

œ

w

w

œ œœ˙

‰œœœœœœœœœ˙

&

?

b

b

b

b

b

b

b

b

b

b

b

b

‰œœœœœœœ œœœœ

œœœœœœœœœœ œœ˙

&

&

4

2

4

2

b. Poco agitato

P

‰j

œ#œœ

˙

˙b

œœ œbœb

poco a poco cresc.

œ

œ#œœ

˙

œbœ

œb œ œn œbœb

F

œ

œ#œ

&

&

œ#œœnœ

dim.

œœœœnœœbœb

P

˙ œœbœœ

p

˙#

Exotic (Artificial, Synthetic) Scales Name _______________________

3. Continue the accompaniment in the same style as the opening measures.

31

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&

?

4

3

4

3

Avec élan

P

a.

4. Continue the pattern as indicated.

œ

œ

œ

œ

œ

œ

œœ

œ

œ

œ

œœ

œ

œ

œ

œ

œ

œœ

œ

œ

œ

œ

œ

œœ

œœ

œ

œœ

œ

œœ

œ

&

?

b

b

b

b

b

b

b

b

(bass line given)

(same pattern continues)

r

œ

r

œ

(Ab pentatonic)

r

œ

&

?

b

b

b

b

b

b

b

b

n

n

n

n

n

n

n

n

r

œ

(C pentatonic)

r

œ

r

œ

&

?

r

œ

r

œ

Exotic (Artificial, Synthetic) Scales Name _______________________

32

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&

?

8

3

8

3

8

4

8

4

8

3

8

3

8

4

8

4

Allegro barbarossab.

ƒ

j

œ

œœ

#

>

j

œ

œœ

>

œœ

œ

bb

>

œ

> œœ

œ

>

J

œ

œ

œb

b>

J

œ

œ

œ

>

J

œ

œ

œ

>

œ#

>

œœ

œ#

>œœ

œ

>œœ

œ

>

J

œ

œ

œ

n

#

>

J

œ

œ

œ

>

œn

>

œ

œ

œn

b

n

œ

œ

>

‰J

œ

œ

œ

b>

J

œ

œ

œ

>

œn

>

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œ

b

>œœ

œ

>

œ

>

&

?

8

3

8

3

8

4

8

4

8

3

8

3

(same pattern continues)

(C whole tone scale) (G whole tone scale)

&

?

8

4

8

4

8

3

8

3

8

4

8

4

(C whole tone scale)

Exotic (Artificial, Synthetic) Scales Name _______________________

33

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&

?

4

2

4

2

Lento

p

œœ

œ

#

b

œœ

œ#

œœ

œ

b

5. Continue the music in the same style.

˙

œ

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b

j

œ

œœ

#

œœ

œ#

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œ

bœœ

œ

b

˙

œ

œ

œ

b

j

œ

œœ

#

&

?

&

?

&

?

Exotic (Artificial, Synthetic) Scales Name _______________________

34

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&

?

4

3

4

3

a. Feierlich

f

.œj

œ

œ

.˙b

-.œb

j

œb

œ

.˙b

-

&

?

.œn

j

œœ

œb-

œb

- œ-

j

œbœ

œb-

œb

-

œb

-

&

?

ƒ

.˙b

>

˙bœ

.˙b

>

˙bœb

&

?

.˙n

>

˙œ

œ-

œb

-œb-

f

.˙ .˙

e-Workbook for Techniques & Materials of Music Name _______________________

Part IV, Unit 8: Quartal and Secondal Harmony

1. Harmonize the following melodies using quartal and secondal harmony.

35

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&

?

4

2

4

2

b. Lebhaft

f

œœ

œbœb

œ

œb

œb

j

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œ

œb

œ.œ

œœ

&

?

œ

œ

œ

œœ

œ

œœ

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œ œ# œœ#

&

?

œœ

œ

œ

œ

3

œœ

œb˙

Quartal and Secondal Harmony Name _______________________

36

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&

?

4

5

4

5

Largamentec.

F

j

œ˙œœ.œ

j

œ

˙œbœ .œb

j

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f

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&

?

a.

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œn .œj

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œ# .œj

œœœbœ

F

.˙ ˙

&

?

c

c

Steadily

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j

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œ

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œ .˙n Œ

&

?

P

œœb .œ

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œ# .œn œbœ œ#

œnœœb

-œb-w

-

Quartal and Secondal Harmony Name _______________________

2. Complete the following exercises in the style and texture of the opening measures.

37

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&

?

c

c

b. Maessig Bewegt, mit Kraft

f

‰ .r

œ .œ œ

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.

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b

b

˙

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b

b

.

.

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œ

&

?

.

.

.

˙

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˙

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œ

œ

.

.

.

˙

˙

˙b

b

b

œ

œ

œ

˙

˙

˙b

b

b

œb

œ

œ

œ

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˙

˙

n

˙

ww

w

w

&

&

c

c

P

Slowly, moodilyc.

(pitch collection: C D Eb F F# G# A B)

Œ

˙

˙

˙b

œ

œ

œ

Œ ˙

˙

˙

#

œ

œ

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.

.

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.

.

.

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n

poco rit.

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˙

b

n˙˙

˙

n&

Œ ˙

˙

˙

#

œ

œ

œ

w

w

w

#

Quartal and Secondal Harmony Name _______________________

38

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&

?

4

2

4

2

Leicht bewegt

P

3. Analyze the given music, then continue for another 6-12 measures, ending in a strong cadence. Continue

the canon as long as is practical.

œ

œ

œ

œ

œ

œ

œœ

œœ

œ

œœ

œœ

œ

œ

œ

œ

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œœ

œ

œœ

œ

œœ

œ

J

œ

&

?

&

?

&

?

Quartal and Secondal Harmony Name _______________________

39

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&

?

b

b

8

6

8

6

Langsam, aber nicht schleppend

p

œ

œ.œb

œ

œ

œœ

œ

b

-

J

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œ

œ

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b

b

-

J

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œ

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b

b

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œ

-

J

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-

&

?

b

b

&

?

b

b

&

?

b

b

Quartal and Secondal Harmony Name _______________________

4. Continue for ten to fifteen measures.

40

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&

?

wwwww

w

w

w

b

w

w

w#

#

w

w

ww

wb

ww

wb

w

ww#

wwwn

&

?

4

2

4

2

P

Tanguettea.

≈œ

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œ

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.

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œ œœ

œ

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n

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.

œ

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simile

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&

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U

e-Workbook for Techniques & Materials of Music Name _______________________

Part IV, Unit 9: Polyharmony and Polytonality

1. Analyze the following chords with any appropriate system, then resolve.

2. Complete the exercise in the same style as the opening measures.

41

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&

?

16

12

16

12

f

Con fuocob.

œb

°

œbœ

œœ

œnœ

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œn

°

œ

œbœn

°

œœn

œœb

œbœ

œbœn

œ#

°

œn

œ

&

?

(left hand chords)

(maintain pattern and continue same type of harmony in both hands)

?..

.

œœ

œ

#

#

.

.

.

œœ

œ

#n

.

.

.

œœ

œ

n

.

.

.

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b

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&

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.

.

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n

.

.

.

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& ..

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b

b

.

.

.

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#

#

#

.

.

.

.

˙˙˙

˙

Polyharmony and Polytonality Name _______________________

42

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&

&

c

c

f

Pesantec.

Œ

œ

œœ

œœ

œ

œ

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œ

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b

b

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n

&

&

4

3

4

3

˙˙˙

n

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œ

œœ

œ

b

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˙

˙˙

˙

b˙˙

˙

b

b

œœ

œ

b

&

?

c

c

4

3

4

3

c

c

œœ

œ

n œ

œœ

œ

œœ

œb

œœ

œ

b

b

˙

˙˙

˙b

b

b

˙

˙˙

˙b

nb

œ

œ

œb

n

œb

œ

œ

œ

w

w

w

w

w

nggggggggg

Polyharmony and Polytonality Name _______________________

43

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&

?

c

c

ƒ

Con forzaa.

œ

œ

œ

>

œ

œœ

>

œ

œœ

>

œ

œœ

>

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œ

œ

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œ

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œ

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œ

œ

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&

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&

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Polyharmony and Polytonality Name _______________________

3. Continue the examples in the same style for 10-15 measures.

44

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&

&

#

b

b

b

4

2

4

2

b. Allegro ma non troppo

p

œ œœ

œ

œ œœ

œ

j

œ

J

œ

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œ

&

&

#

b

b

b

&

&

#

b

b

b

&

&

#

b

b

b

Polyharmony and Polytonality Name _______________________

45

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&

?

8

6

8

6

c. Siciliano

P

œœ

œ

b

j

œœ

œ

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œ

b

b

j

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b

b

J

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b

b

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œœœ

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b

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b

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b

b

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b

b

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œœœ

&

?

&

?

&

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Polyharmony and Polytonality Name _______________________

46

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&

?

4

3

4

3

ƒ

Schizando

œœ

œb

Œ œ

œb-

œ

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e-Workbook for Techniques & Materials of Music Name _______________________

Part IV, Unit 10: Intervals in Twentieth-Century Music

1. Extend the exercise in the same style for 10-15 measures.

47

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&

?

c

c

p

Lightly, lyrically

set A

J

œb

J

œ

Œ

œ

œ#

.

Œ

œ

œ

b.

set B

œ

œ#

j

œ

‰ Œ ‰

j

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Œ ‰J

œ

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Œ

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.

&

?

&

?

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Intervals in Twentieth-Century Music Name _______________________

2. Continue the exercise by alternating and layering set A with set B. End with a retrograde of the original

pitch material. set A: D F F# A Bb Db set B: G# B C D# E G

48

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&

?

8

4

8

4

8

3

8

3

8

4

8

4

(source set)

w

w

w

b

n

w

w

w

n

#

ƒ

Brutishly

œ

œ

œn

b

b

œ

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œ

œ

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>

œ

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#

œ

œ

œ

œ

œ

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>

œ

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n

n

>

œ

œ

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b

b

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Intervals in Twentieth-Century Music Name _______________________

3. Continue the exercise, using the source set and its transpositions and mirror sonorities. Conclude with a

strong cadence.

49

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&

&

4

4

4

4

4

3

4

3

4

4

4

4

π

Sehr langsam und innig

set A

set B

œœ#

œ# ˙ .œœb

Œ œ

œ-

œ

œ

.

j

œ

œœ

-

œ

œœ

œ

œœ

.

œœn

Œ Œ

j

œ

œb

-

œ

œ

œ#.

Œ

set B

set A

Œ ‰

J

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-

J

œ

œ

-

œ

œ

œ#œ#

œn ˙

&

&

&

&

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Intervals in Twentieth-Century Music Name _______________________

4. Continue in the same style, using similar sonorities derived from each set. End with a clear cadential

gesture. set A: F A Bb G F# G# set B: E C B D Eb Db

50

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&c

π

Langsam

Solo Bb clarinet.˙ œ#

˙

œ

Œ Œ

œ

œ

œb œœb .œ

j

œb

&œb

˙bœ

.œj

œ

œb

œ œ

œb

Intervals in Twentieth-Century Music Name _______________________

5. Continue the exercise for 10-15 measures.

51

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& wnwb wn

wnw#

Intervals in Twentieth-Century Music Name _______________________

6. Compose a short piece using the following set:

52

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&

?

4

3

4

3

I0

P0

A la vienne

F

Œ Œœ

œb

œ

œœ

œ#

œœ

œ

.œb

J

œœn

œb

œ

œœ

b

Nb

œ

œœ

œœ

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œ

œ

œœ

œ

#œœ

œ

œ#œ

œnœb

œœb

œbœ

&

?

&

?

&

?

e-Workbook for Techniques & Materials of Music Name _______________________

Part IV, Unit 11: Twelve-Tone Serialism

1. Extend the exercise for another 10-15 measures, incorporating basic principles of serialism. The opening

row forms are given.

53

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B

4

3

P0

Stark

f

Solo trombone.œ

J

œ

œ#œ

œb œ œœb

œ

.œb

J

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˙

œ

œb

œb œ œ

œœ

J

œb

œœb ˙N

B

B

B

B

B

Twelve-Tone Serialism Name _______________________

2. Using serial techniques, continue the exercise for 10-15 measures.

54

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&w

wwb

w#w

w

w#

w#

wn

w

w#

w

&

?

4

3

4

3

Mit Kraft

f

J

œ

œ

b

n3

œ

°

J

œ

œ

œ

#

°

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œbœb .œ

(retrograde)

.

.

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œ

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n œ

3

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n

°

œ

œ ≈

œb

°

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œ

œ

#

œ

œ

n

&

?

&

?

&

?

Twelve-Tone Serialism Name _______________________

3. Compose a brief work for piano or instruments in your class based on this all-interval row and its associated

row-forms, continuing the opening given below.

55

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&

wwb

ww

w

w#

wbwb

w

wb wnw

&

&

c

c

molto legato

Mesto e misterioso

una cordaπ

Ó

3

Œ œœ

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b

-

°

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3

˙˙

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n

œœœ

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&

&

&

&

&

&

Twelve-Tone Serialism Name _______________________

4. Compose a brief work for piano using this row and its associated row-forms, based on the given opening.

56

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&

ww

w#w# wn

ww

w w#wb

wnw#

&

?

&

?

&

?

&

?

Twelve-Tone Serialism Name _______________________

5. Compose a short piece using this row and its associated row-forms.

57

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&

ww#

w#

w#w

wn

wnwb wn

ww# wn

&

?

&

?

&

?

&

?

Twelve-Tone Serialism Name _______________________

6. Analyze the inner structure and combinatorial properties of the following all-combinatorial row by

Webern. Then compose a brief work for piano or instruments in your class.

58

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e-Workbook for Techniques & Materials of Music Name _______________________Part IV, Unit 12: Additional Contemporary Procedures

1. Using the examples below as models, compose original music for instruments available in class.

a. With abandon

b. Hysterically

59

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.

...

œ #

œ n

œ #

œ #œ #

œ #

œ #

œ#œ#

œ#

œ#œ#

œ #

œbœb

œb

œbœb

œb

œn

Additional Contemporary Procedures Name _______________________

2. The Compleat Canon

This canon may be performed by an infinite number of people, each voice entering at any time interval.

Each voice determines the clef to be used and the durations of the individual notes. It is suggested that a

maximum variety of rhythmic values and articulations be employed. The various canonic voices may

imitate earlier voices freely or may ignore the others entirely. The pitch sequence may be read forwards,

backwards, upside-down, or upside-down and backwards. The canon is to be terminated when a

predetermined threshold of boredom is attained.

3. Listen to, perform, and study such controlled-improv, open-form, "process" works as Riley's "In C." Then

compose a group-improv work for the class, using this approach. Experiment with varying degrees and

methods of controlling various musical elements. Be sure to shape the piece in some way.

4. Listen to and study one or more classic examples of "minimalism," including works by Glass, Reich,

Eno, and Adams. Write a piece, experimenting with small musical cells, phase-shifting, drones,

subtly-shifting consonant harmony and various color elements. Some controlled improv might be used. All

or most of the piece may be pre-planned. Be sure to shape the work.

##

#

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63