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    e-Workbook

    for

    Techniques & Materials of Music

    From the Common Practice Period Through the

    Twentieth Century

    Seventh Edition

    Part IV: Twentieth-Century Materials

    Assignments in worksheet format by

    Thomas BenjaminMichael Horvit

    Timothy Koozin

    Robert Nelson

    Edited for electronic publication by

    Timothy Koozin

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    Part IV: Twentieth-Century Materials

    2 Further Concepts for Analysis 3

    3 Rhythmic and Metric Devices 44 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

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    &?

    a. wwwbbb

    wb

    b.

    wwwwb

    c.

    wwwwb#b wwn#

    &?

    d. wwwbbwwwb

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

    __________________________

    e.

    ww##ww#

    f.

    www## w

    &?

    a.

    2. Write transpositions for Examples 1a1d 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 factorin Part IV, Unit 1.

    b. c. d.

    e-Workbook forTechniques & 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) system

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

    3

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    & 45a. (3 + 2) (2 + 3)

    & 87b. (4 + 3) (3 + 4)

    & 812c. (3 + 3 + 2 + 2 + 2)

    & 86 42 85 42d.

    &a. j j jb Jb .n

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

    changing meters.

    Jb JR Jb b J# J# J# J# # n J

    &b.

    & j j j j .

    e-Workbook forTechniques & 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 musica

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

    4

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    &?

    a.

    b.

    6

    b b

    N

    c.

    #

    d.

    Nbb

    e.

    ##

    &

    ?

    f.

    g.

    bbbb

    h.

    ####

    i.

    N b b bbb

    j.

    ##

    & b cWith lighly swung eighths

    j J> bFmaj7

    jb J# n

    > D9

    nG9 #9 C9 #5

    & bFmaj7 F9 b9 b5 Bbmaj9 D9 b5

    & bG9 b5 Cb9 #5 Fmaj9

    e-Workbook forTechniques & 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

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    &

    ?

    c

    c

    Wolfishly

    F

    # # b b #

    &?

    .

    b b b n # #

    &?

    # . # # n

    &?

    b b F # # n w

    Tertian Harmony Name ______________________

    3. Add an accompaniment to the following melody.

    6

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    &?

    b

    b

    43

    43

    Con amore

    p

    n

    cresc.#

    Dmaj7

    &?

    b

    bP

    .Gmaj7

    dim.

    .#Amaj7

    Cmaj7

    &?

    bbp .

    j

    Fmaj7

    .

    j

    Bbmaj7

    cresc.

    #

    Ebmaj7

    &

    ?

    b

    bP

    n #Gmaj7

    dim.

    N #Bbmaj7

    p.

    Dmaj7

    Tertian Harmony Name ______________________

    4. Complete the accompaniment based on the given chords.

    7

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    &?

    ##

    ##4

    3

    43

    Avec movement et sans poire

    P

    ..

    . j

    .j

    ..

    &?

    ####

    ..

    &

    ?

    ##

    ##

    &

    ?

    ##

    ##

    .

    Tertian Harmony Name ______________________

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

    8

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    &

    ?

    43

    43

    Andantino

    p

    J

    &

    ?

    J

    &?

    J J J

    &

    ?

    Tertian Harmony Name ______________________

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

    9

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    &?

    c

    c

    Mit Sehnsucht

    F# b

    #

    wwwggggg

    .bb n

    j #

    wwwgggg wwwggggsimile

    wwwb wwwbb

    &? wwwbb

    wwwwwwww www

    www

    &

    &

    ?

    b

    b

    b

    C

    C

    C

    Moderato

    P# n

    P

    b # #

    #n#

    nbn #

    b n # b n b

    Tertian Harmony Name ______________________

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

    8. Complete the accompaniment and analyze fully.

    10

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    &

    a. Phrygian

    w&

    b. Mixolydian

    wb

    &

    c. Aoelian

    w

    &d. Dorian

    w

    &e. Lydian

    w

    &f. Locrian

    w#

    ?g. Dorianw

    ?h. Mixolydianw

    ?i. Phrygianw#

    e-Workbook forTechniques & 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

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    &

    ?

    #

    #

    87

    87

    Con animaa.

    f - - J

    &?

    ## - -

    cresc.

    -.-

    &

    ?

    #

    #

    jf

    .- F .

    The Diatonic (Church) Modes Name ______________________

    2. Harmonize the following melodies using modal harmony.

    12

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    &

    ?

    #

    #

    83

    83

    Tempo di Valseb.

    P

    J J .# j

    &

    ?

    #

    # . # # J j

    &?

    ## J J

    .n

    &

    ?

    #

    #

    J J . n .

    The Diatonic (Church) Modes Name ______________________

    13

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    &

    ?

    b

    b

    43

    43p

    Melancoliquea.

    . j

    ..

    &?

    b

    b

    .

    &?

    b

    b

    . J

    &

    ?

    b

    b

    . J . .

    The Diatonic (Church) Modes Name ______________________

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

    14

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    &

    ?

    bb

    bb

    83

    83

    b. Gracieuse

    P

    J

    .

    j

    J

    &

    ?

    bb

    bb

    . .

    &?

    bb

    bb j .

    &?

    bb

    bb j . .

    The Diatonic (Church) Modes Name ______________________

    15

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    &

    ?

    86

    86p

    Moderatoc.

    j J

    J J

    . j

    J J

    . .

    &

    ?

    j

    J

    . .

    . .

    &?

    4343

    pComodod.

    Al le

    b lu iah,bb

    Al le

    lu iah,

    (etc.)

    b- - - - - -

    &

    ?

    b b b b . .

    The Diatonic (Church) Modes Name ______________________

    16

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    &

    ?

    45

    45 F

    Allegro lunaticoe.

    #

    #

    &

    ?simile

    &?

    &

    ?

    ....

    The Diatonic (Church) Modes Name ______________________

    17

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    &

    ?

    bb

    bb

    43

    43

    Andantino

    P

    f.

    . J. j

    . J . j

    3

    . j 3

    &

    ?

    bb

    bb

    .j

    3

    . j

    &?

    bbbb

    3

    The Diatonic (Church) Modes Name ______________________

    18

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    &?

    c

    c

    Con moto

    p(SATB)

    b

    Oooo

    b b .

    b b . b .. b

    b

    &?

    b b b wb

    &

    ?

    c

    c

    Andantino

    2. Provide accompaniment for the given melody.

    &

    ?

    43

    43

    c

    c

    w

    e-Workbook forTechniques & Materials of Music Name ______________________

    Part IV, Unit 6: Pandiatonicism

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

    19

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    &

    ?

    b

    b

    c

    cf

    Maestoso

    ...j

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

    &?

    b

    b

    .

    &?

    b

    b

    &

    ?

    b

    b

    . j w

    Pandiatonicism Name ______________________

    20

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    &

    ?

    b

    b

    43

    43

    Languidly

    p

    &

    ?

    b

    b

    &?

    b

    b

    &

    ?

    b

    b

    Pandiatonicism Name ______________________

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

    21

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    &

    ?

    42

    42

    Like a fanfarea.

    f

    RrR

    .

    &?

    43

    4342

    42

    b.

    .

    b

    &

    ?

    c

    c

    Pesante

    f bb

    b

    b

    ww

    b b b

    &

    ? . b w w

    Pandiatonicism Name ______________________

    5. Complete the given music in the same style.

    22

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    &

    ?

    85

    85

    86

    86

    85

    85

    86

    86

    Con brioc.

    J

    . .j

    ... ...

    .

    ....

    j

    &

    ?

    85

    85

    86

    86

    85

    85

    86

    86

    j .

    .

    . . . .

    Pandiatonicism Name ______________________

    23

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    &?

    b

    b

    c

    c

    Con forzaa.

    > > >

    >

    > >

    ww

    > > >

    >

    > >

    > > > > >

    >

    > >

    >>>>ww

    &?

    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

    43

    43P

    Glissantb.

    &

    ?

    b

    b

    &

    ?

    b

    b

    &

    ?

    b

    b

    Pandiatonicism Name ______________________

    25

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    &

    ?

    b

    b

    c

    c

    Joyeuxc.

    f

    .

    . .

    &

    ?

    b

    b

    &

    ?

    b

    b

    &

    ?

    b

    b

    Pandiatonicism Name ______________________

    26

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    &

    a. whole tone

    w&

    b. octatonic

    wb w

    &

    c. pentatonic

    w

    &d. Hungarian minor

    w

    &e. octatonic

    w wb

    &f. pentatonic

    w

    ?g. whole tone

    w

    ?h. Hungarian minor variant

    w

    ?i. whole tone

    w#

    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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    &?

    4242

    a. Heftig

    f b b .n J#

    #

    &

    ?

    .# j # b b

    &

    ?

    # b bF

    b b b b b 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

    86

    86

    b. Amabile

    # j

    &?

    bb

    #

    j

    # .

    &?

    b

    b

    # # j

    &

    ?

    b

    b

    # # j .

    Exotic (Artificial, Synthetic) Scales Name _______________________

    29

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    &

    ?

    43

    43

    Assez lentc.

    b b

    &

    ?

    b . j b . jb

    &?

    .# j

    . j

    b b b

    &?

    . j .b .

    Exotic (Artificial, Synthetic) Scales Name _______________________

    30

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    &?

    bbbbbb

    bbbbbb

    c

    cF

    Andantea.

    ww

    &?

    bbbbbb

    bbbbbb

    &

    &

    42

    42

    b. Poco agitato

    P j#

    b

    b b

    poco a poco cresc. #

    b b n b b F #

    &

    &

    # n dim.

    n b bP b

    p#

    Exotic (Artificial, Synthetic) Scales Name _______________________

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

    31

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    &

    ?

    43

    43

    Avec lan

    P

    a.

    4. Continue the pattern as indicated.

    &

    ?

    bbbb

    bbbb(bass line given)

    (same pattern continues)

    rr

    (Ab pentatonic)r

    &?

    bbbb

    bbbbnnnn

    nnnnr(C pentatonic)

    r r

    &

    ? r r

    Exotic (Artificial, Synthetic) Scales Name _______________________

    32

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    &

    ?

    83

    83

    84

    84

    83

    83

    84

    84

    Allegro barbarossab.

    j#> j>

    bb > > >

    Jbb>

    J>

    J>

    #> #> > >

    Jn# >

    J>

    n> nbn > >

    Jb>

    J>

    n> b> >

    >

    &

    ?

    83

    83

    84

    84

    83

    83

    (same pattern continues)

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

    &

    ?

    84

    84

    83

    83

    84

    84

    (C whole tone scale)

    Exotic (Artificial, Synthetic) Scales Name _______________________

    33

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    &?

    42

    42

    Lento

    p #b

    #b

    5. Continue the music in the same style.

    b

    j#

    #

    b

    b

    b

    j#

    &?

    &

    ?

    &

    ?

    Exotic (Artificial, Synthetic) Scales Name _______________________

    34

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    &?

    4343

    a. Feierlich

    f . j .b - .b jb .

    b -

    &?

    .nj b - b - -

    .

    jb

    b- b -

    b-

    &

    ?

    .b>

    b .b> b b

    &

    ?

    .n> - b - b -f

    . .

    e-Workbook forTechniques & 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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    &

    ?

    42

    42

    b. Lebhaft

    f

    b b b bjb b b .

    &

    ?

    b # #

    &?

    .

    3

    b

    Quartal and Secondal Harmony Name ______________________

    36

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    &

    ?

    45

    45

    Largamentec.

    F

    . j .j b .b

    jb b bf

    .n

    &

    ?

    a.

    .b jb b n n . j # # . j b

    F

    .

    &?

    c

    c

    Steadily

    .b j bb

    b .b j # # . .n

    &

    ?

    P

    b . # # .n b # n b - b - 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 . . .

    ..

    . . R . .

    .Jb

    bb bb ..

    &

    ? ... ...bbb bbb b n

    wwww

    &&

    ccP

    Slowly, moodilyc.

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

    b

    #

    #

    n

    ...##

    ...##

    n ##

    &

    ? ##n #n nb bn

    poco rit.

    bn n& # www#

    Quartal and Secondal Harmony Name ______________________

    38

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    &?

    42

    42

    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.

    J

    &?

    &?

    &

    ?

    Quartal and Secondal Harmony Name ______________________

    39

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    &?

    b

    b86

    86

    Langsam, aber nicht schleppend

    p

    . .b

    b - J- bbb

    -J-

    . b b .

    b - Jbbb- - J

    -

    &?

    bb

    &?

    b

    b

    &

    ?

    b

    b

    Quartal and Secondal Harmony Name ______________________

    4. Continue for ten to fifteen measures.

    40

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    &?

    wwwwwwwwb

    www#

    #

    ww wwwbwwwb

    www#wwwn

    &

    ?

    42

    42P

    Tanguettea.

    #

    . .

    #

    . n . .

    .simile

    .

    &

    ? .b b .b b

    b .b bb .b b

    &

    ? . .

    . .

    #U

    e-Workbook forTechniques & 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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    &

    ?

    1612

    1612 f

    Con fuocob.

    b

    b

    n #

    n

    b n

    n

    b b b n#

    n

    &

    ?

    (left hand chords)

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

    ? ...##...#n

    ...n...bb

    &

    ?...

    #

    nn ...n

    &

    & ...bb ...###....

    Polyharmony and Polytonality Name _______________________

    42

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    &

    &

    c

    c f

    Pesantec.

    n

    b

    nn

    b bb bn

    &

    &

    43

    43n b? b bb b

    &?

    c

    c43

    43

    c

    cn n

    bnbb

    bbb bnb

    bn

    b

    wwwwwnggggggggg

    Polyharmony and Polytonality Name _______________________

    43

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    &

    ?

    c

    c

    Con forzaa. >

    >

    > >

    > >

    >

    >>> >

    >>

    >

    >

    > >

    >

    > >

    >

    >>>>

    > >>

    >

    - -

    >

    >

    >

    >

    --

    > >

    &?

    J

    >

    j>

    &?

    &

    ?

    Polyharmony and Polytonality Name _______________________

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

    44

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    &

    &

    #

    bbb

    42

    42

    b. Allegro ma non troppo

    p

    . j

    . J

    &

    &

    #

    bbb

    &&

    #bbb

    &

    &

    #

    bbb

    Polyharmony and Polytonality Name _______________________

    45

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    &

    ?

    86

    86

    c. Siciliano

    P

    bj bb

    j

    bb J bb J

    b . J bb

    j

    bb J bb J

    &

    ?

    &?

    &

    ?

    Polyharmony and Polytonality Name _______________________

    46

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    &?

    4343

    Schizando

    b

    . b -

    -

    #. J

    #

    . # -

    -# #

    . # -

    - . J

    . -

    -> >

    bb>

    >

    ## >

    ## >

    >

    > >

    &?

    &

    ?

    &

    ?

    e-Workbook forTechniques & 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.

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    &?

    ccp

    Lightly, lyrically

    set A . Jb.

    J

    #.

    b. set B

    # j

    j

    Jb . #

    j

    Jb . j.

    &?

    &

    ?

    &

    ?

    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

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    &?

    8484

    8383

    8484

    (source set)

    wwwbnwwwn#

    Brutishlynbb>

    >

    >

    >

    #>

    > >

    >

    bnn

    > nbb>

    >

    n##> n#

    > > J

    bn>

    b>n>

    Jn#> b>

    >

    &

    ?

    &

    ?

    &

    ?

    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.

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    &

    &

    44

    44

    43

    43

    44

    44

    Sehr langsam und innig

    set A

    set B

    # # . b

    -.

    j- .

    n

    jb - # .

    set B

    set A

    Jn - J-

    # # n

    &

    &

    &

    &

    &

    &

    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

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    & c

    Langsam

    Solo B

    bclarinet

    . # b b .jb

    & b b .j b

    b

    Intervals in Twentieth-Century Music Name _______________________

    5. Continue the exercise for 10-15 measures.

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    & wn wb wn wn w#

    Intervals in Twentieth-Century Music Name _______________________

    6. Compose a short piece using the following set:

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    &?

    43

    43I0

    P0

    A la vienne

    F b

    # .b J n

    bbNb

    b

    #

    # n b b b

    &

    ?

    &

    ?

    &

    ?

    e-Workbook forTechniques & 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.

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    B43

    P0

    Stark

    f

    Solo trombone.

    J # b b

    .b

    J #

    B b b

    . Jb b N

    B

    B

    B

    B

    B

    Twelve-Tone Serialism Name _______________________

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

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    & w w wb w# w w w# w# wn w w# w

    &

    ?

    43

    43

    Mit Kraft

    fJbn3

    J#

    b b .(retrograde)

    .. b n 3

    b b

    #n

    b

    #

    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 associa

    row-forms, continuing the opening given below.

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    & w wb w ww w# wb wb w

    wb wn w

    &

    &

    c

    cmolto legato

    Mesto e misterioso

    una corda 3

    b -

    - - -

    3## #3

    -

    # - -

    3# n

    # -

    &

    &

    &

    &

    &

    &

    Twelve-Tone Serialism Name _______________________

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

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    & w w w# w# wn w w w w# wbwn w#

    &

    ?

    &

    ?

    &

    ?

    &

    ?

    Twelve-Tone Serialism Name _______________________

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

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    & w w# w# w# w wn wn wb wn w w# 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.

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    e-Workbook forTechniques & 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

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    .. .. # n # # #

    # #

    # # # # # #b b b

    b bb n

    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 apredetermined threshold of boredom is attained.

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

    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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