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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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 ______________________
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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.
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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 ______________________
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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 ______________________
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&
?
45
45 F
Allegro lunaticoe.
#
#
&
?simile
&?
&
?
....
The Diatonic (Church) Modes Name ______________________
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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 ______________________
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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.
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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 ______________________
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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.
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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 ______________________
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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.
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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.
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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.
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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 _______________________
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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.
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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 _______________________
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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 _______________________
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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 _______________________
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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.
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&
?
42
42
b. Lebhaft
f
b b b bjb b b .
&
?
b # #
&?
.
3
b
Quartal and Secondal Harmony Name ______________________
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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.
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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 ______________________
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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 ______________________
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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.
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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.
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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 _______________________
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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 _______________________
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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.
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&
&
#
bbb
42
42
b. Allegro ma non troppo
p
. j
. J
&
&
#
bbb
&&
#bbb
&
&
#
bbb
Polyharmony and Polytonality Name _______________________
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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 _______________________
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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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