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1I-
EXPLORATIONS: A COMPOSITION FOR
EIGHTEEN-PIECE JAZZ ENSEMBLE
THESIS
Presented to the Graduate Council of the
University of North Texas in Partial
Fulfillment of the Requirements
For the Degree of
MASTER OF MUSIC
By
Isidore L. Rudnick, B.M.
Denton, Texas
May, 1992
Rudnick, Isidore L., Explorations: A Composition for Eighteen-Piece Jazz
Ensemble. Master of Music (Composition), May, 1992, 79 pp., 13 figures, appendix.
Explorations is a three-movement experimental work for eighteen-piece jazz
ensemble consisting of the following instruments: soprano saxophone, alto
saxophone, two tenor saxophones, baritone saxophone, two trumpets, two
flugelhorns, three trombones, bass trombone, electric guitar, vibraphone, contrabass,
drums and piano. The duration of the work will approximate twelve minutes.
The first movement features geometric configurations of spatially notated
sound which emphasize percussive qualities of the ensemble (i.e. key clicks, tongue
slaps, mouthpiece pops, etc.). Tone clusters of various pitch, texture and dynamics
derived from blues scales provide the source material for the second movement.
A slowly developing dynamic counterpoint creates the sound mass texture and
delineates the form. Movement Three features a contrapuntal poly-metric collage
of variations on a four-note theme. The collage provides the background fabric for
an exchange of periodic and aperiodic events.
TABLE OF CONTENTS
LIST OF FIGURES......................................v
Discussion
INTRODUCTION.......................................vi
MOVEMENT ONE.....................................viiTextural Organization..... . . . .. . . . . . . .9.0.*. . . . ..1.0. .0. .0. .aviiDynamic Scheme.. . .. .. . . . . .. . .......... 0.0...........x
MOVEMENT TWO. ........ ... . . . . . . . ... . . . . . ...a........iiForm............................................xiiDynamic and Textural Procedures... ............. *.......xiiiPitch Organization..0..a.. . .. .. . . . . . .. .. . . ......... ... xv
MOVEMENT THREE. ..... .. ... . ....... ................. xxPitch Organization. ... .. .. .. .. . . . . . . . . . . . . . . . . . .0. .a..xxRhythmic Organization. .#.. .. . .. . .. .0. ... .*. .......... xxivDynamic Scheme.9.0.a. .0...0. . 0.. . . . . . ... .. . . . . . . ...... xxvii
Appendix
MOVEMENT ONE DIAGRAM... . ....................... *.=xxx
MOVEMENT TWO DIAGRAM.. ... 0... .. .a.... .. . .. .... .. .. xxxi
MOVEMENT THREE PITCH ORGANIZATION CHART......a..xxxii
iii
EXPLORATIONS
ACKNOWLEDGEMENT.... . 2
NOTATION.........................................43
EXPLORATIONS.. .. ... a. . . .. . . .. . . . . . . . . . . .. . . . .a.f. . . .. 7
iv
LIST OF FIGURES
Figure page
1. Attack weights, brass and saxophones.........................viii
2. Textural Densities. .0.4. ... 0. .. 0.... . .. .. . .4.1.. . . . . . . .. . .. .0.... - ix
3. Attack weights, rhythm section. . ... . .0. . .. .................... x
4. Dynamic Counterpoint.. .... . . . a. . 0. . 0. . . ...... .0. .. .. ........ -xii
5. 32-Note series. ...... . . . . .. .. .. . . . . .. . . . . . . .0.0.0. .0. . . .. . ... xv
6. Dyadic pitch ranges. ... .. .... .a. .a. .. . . . . . . . . . . . . . .*.4.a.*. .. . . xvi
7. Triadic pitch ranges. .0.. . . . . . .*.a.8.. . . . . . ...... .. . . . . . . ..... xvii
8. Tetrachordal pitch ranges in measures 29-34.................... xviii
9. Tetrachordal pitch ranges in measures 36-43............ . . . . . . xix
10. Four-note motive........................................xx
11. Pulsed glissando, trombones and tenor saxophone................xxii
12. Atonal question, trumpets and soprano saxophone.... . . . . . . . . . xxiv
13. Rhythmic accent pattern, "Au Privave". . .... .*. .. .. .... .. .. . .. . .0.xxv
V
INTRODUCTION
Explorations for eighteen-piece jazz ensemble attempts to fuse selected
elements of jazz instrumentation, style and phrasing with selected compositional
procedures found in the music of twentieth-century composers such as Witold
Lutoslawski, Krzysztof Penderecki and George Crumb. Each of the three
movements in the work focuses on various rhythmic, dynamic, melodic, harmonic
or textural procedures. Characteristic of the entire work is an elaborate
investigation of non-conventional methods of sound production, an area that has
been often neglected in modem jazz ensemble literature.
vi
MOVEMENT ONE
The first movement of Explorations investigates the percussive qualities of
the jazz ensemble through the use of pointillistic techniques and non-conventional
methods of sound production. Geometric configurations of spacially notated sound
provide the structure which allows for limited elements of chance to occur.
Elaborate textural and dynamic procedures create a constantly evolving sound fabric
throughout the movement.
Textural Organization
Textural organization for the first movement centers around geometric
configurations of highly percussive sound (see page 7). Six circular configurations
in the brass and saxophone sections and four rectangular configurations in the
rhythm section make up the entire movement. All the configurations feature
percussive sound events of indefinite pitch (i.e. valve clicks, tongued air, knocking
and tapping, squeaks, etc.) and definite pitch produced in an unconventional manner
(i.e. tongue slaps, mouthpiece pops, key slaps, etc.). Placement of these events in
a circular configuration allows for limited chance operations such as simultaneous
random selection of events by several players, and simultaneous selection of event
durations by several players.
All percussive sound in the first movement is organized according to the
amount of orchestral attack weight (power that the attack of the sound produces).
vii
Numerical values, one through six, represent the smallest to largest amount of
attack weight for each of the sounds in the brass and saxophone sections.
Figure 1. First movement attack weights.
Saxophone Trumpet/Fluglehorns Trombones
I tongued air 1 tongued air 1 tongued air2 key slaps 2 valve clicks 2 fingernails on bell3 pencil on bell 3 pencil on bell 3 slide bumps4 tongue smack 4 mouthpiece pops 4 mouthpiece pops5 tongue slap 5 valve click (loosen cap) 5 slide bumps (loosen bolt)6 squeak 6 tongue slap 6 tongue slap
The first circular configuration in each section contains sounds with the three
smallest attack weights: tongued air, valve clicks, key slaps, slide bumps and
fingernail or pencil on bell of instrument. As the saxophone and brass sections
move through the first four circular configurations, lighter attacks are gradually
deleted from the texture and replaced with heavier attacks. Only three different
types of percussive sound are used per configuration throughout most of the first
movement, providing each one with an identifiable texture. In the fifth and sixth
circular configurations, lighter attacks of sound present in the beginning of the
movement are added to the heavier attacks resulting in more textural variety. The
gradual movement from lighter percussive attacks to heavier ones and the eventual
inclusion of both types of sound creates a subtle but steady textural crescendo
throughout the movement.
viii
In addition to changes in orchestral attack weight, various textural densities
are present in the first movement and are divided into two basic categories: close,
rapid, reiterations of sound separated by short periods of silence (i.e. thick textural
density) and periods of silence penetrated by isolated attacks of sound (i.e. sparse
textural density).
Figure 2. First movement textural densities.
The first and second circular configurations contain events which feature a thick
textural density and, in combination with small amounts of orchestral attack weight,
create an active but highly transparent exchange of sound. The third and fourth
configurations, by contrast, contain events which feature a sparse textural density
coupled with moderate amounts of orchestral attack weight. This combination
produces a more powerful sound exchange transparent in nature because of the
increased presence of silence. Finally, in the fifth and sixth circular configurations,
thick textural density as well as large amounts of orchestral attack weight combine
to create the textural and rhythmic peak of the first movement.
Set against these texturally evolving, constantly spinning circular
configurations of percussive sound, the rhythms section presents a different, more
controlled textural procedure. Four rectangular arrangements of sound lasting
twenty-five to thirty-five seconds and separated by fifteen to twenty seconds of
silence make up the first movement. Both placement and duration of these highly
ix
percussive arrangements are precisely determined by the conductor. As with the
circular configurations of sound, events in the rectangular configurations are
categorized according to orchestral attack weight. The first rhythm section
configuration contains piano, guitar, vibraphone, bass, and delicate drum sounds
such as light tapping and plucking. Each subsequent rectangular configuration
produces a heavier sound attack culminating with the slapping and striking of
strings, bars and drum equipment in the fourth configuration.
Figure 3. First movement attack weights, rhythm section.
1 2 3 4light tapping moderate tapping heavy tapping heavy slappingplucking light striking heavy knocking heavy strikingknocking moderate striking slapping
As the above figure indicates, rhythm section activity in the movement forms a
steady textural crescendo of tapping, plucking, knocking, striking and slapping
interspersed with durations of silence that parallel the textural crescendo found in
the circular configurations.
Dynamic Scheme
In addition to orchestral weight and density changes which create subtle textural
dynamics in the first movement of Explorations, an elaborate dynamic scheme is
present. As shown in the diagram on page xxix, the brass and saxophone sections
follow an independent progression of five dynamic markings ranging from piano to
x
fortissimo with no repetitions. One dynamic marking is used per circular
configuration and applies to all sound events in that arrangement. The progression
which begins in the trombone section (marked piano) in the opening of the
movement is repeated three times with a different instrument section beginning and
ending the process each time. This ensures a non-repetitive dynamic environment
because no two adjacent circular configurations contain the same markings. The
sixth and final circular configuration in the brass and saxophone sections contains
abrupt dynamic changes from pianissimo to fortissimo.
The dynamic scheme in the rhythm section produces a similar but simpler
progression. The first three dynamic markings are mezzo piano, mezzo forte, and
forte and parallel the increase in orchestral attack weight that occurs in all
instrumental sections in the first movement. By using this parallel dynamic growth,
the rectangular configurations of sound become momentary textural windows
transparent enough to veil but not hide the sound fabric created by the circular
configurations. In the fourth rectangular configuration, the rhythm section joins the
other instruments in outbursts of abrupt dynamic changes which bring the movement
to a close.
xi
MOVEMENT TWO
The second movement of Explorations presents a variety of timbral and
textural sound masses which feature muting, muffling, scraping and bowing. A
predominance of slowly developing dynamic counterpoint delineates the form and
emphasizes the horizontal aspects of the music. Eight series of four-note tone
clusters derived from blues scales provide the pitch material for the movement.
Form
The form of the second movement consists of an introduction, three sections
approximately forty to sixty seconds in duration and a coda, all representing an
elaborate investigation of dynamic counterpoint. Dynamic counterpoint is defined
as a simultaneous occurrence of differing dynamic shapes such as crescendi and
decrescendi.
Figure 4. Dynamic counterpoint.
All dynamic procedures in the three main sections of the movement occur within
a larger crescendo which is created gradually through systematic addition of timbral
xii
and textural events, pitch density and harmonic dissonance (refer to diagram on
page xxx).
Dynamic and Textural Procedures
The four-measure introduction of the second movement features a multi-
layered dynamic scheme of crescendi and decrescendi three or six seconds in
duration. The scheme, determined by serial procedures, produces twelve different
dynamic patterns, each four measures in length. The absence of any pitch
articulation and the presence of simultaneously occurring dynamic movement create
waves of sound which foreshadow the activity in the third section of the movement.
Textural events, presented by all instruments later in the movement, occur only in
the rhythm section where scraping sounds predominate (e.g. coin on cymbals and
vibraphone bars, pick scrapes on guitar, piano and bass strings).
The first section of Movement Two features dynamic counterpoint involving
only crescendi. After an initial tutti crescendo, a series of dyadic crescendi (i.e. two
different instruments simultaneously increasing volume on two different pitches),
weave their way through the ensemble in seven to ten second durations. The
crescendi are horizontally spaced in decreasing time increments from five seconds
to one second (see measure 7 in the score). This process reinforces the larger
structural crescendo by releasing a greater proportion of pitches as the section
unfolds.
Textural events increase in the first section to include limited muting effects
in the brass as well as continued scraping sounds in the rhythm section. Textural
xiii
muted and non-muted crescendi.
By contrast, the second section of Movement Two features triadic
decrescendi of seven to ten seconds in duration which unfold in expanding time
increments of one to five seconds. This procedure represents the dynamic
retrograde of the one in the first section of the movement (see measure 16 in the
score). The dynamic procedure is then repeated, expanding the duration of the
section and allowing for elaborate textural exploration.
Textural exploration in the second section of the movement occurs through
alteration of virtually every instrument's sound in the ensemble. The following
conventional and non-conventional methods of altering sound are employed:
muting, muffling, bowing, brushing and altering sound through electronic effects.
The muted and muffled textures of the brass and saxophone sections (i.e. cup mute,
straight mute, plunger, harmon mute, in stand, paper over bell) compliment the
resonant textures in the rhythm section (i.e. bowed cymbal and vibraphone, wire
brush glissandi inside the piano and guitar flanging effects). The slowly developing
decrescendi in the second section provide the necessary environment in which both
the muted and resonant textures can coexist.
In the third section of Movement Two, eight dynamic patterns from the
introduction return in a slightly altered format. Instead of occurring simultaneously,
dynamic activity horizontally unfolds in staggered intervals of two seconds.
Recurring tetrachordal crescendi and decrescendi of four and five second durations
swell and retreat creating sound waves of subtle attacks and releases (see measure
29 in the score). Textural events in this section focus on the piano, drum set and
xiv
vibraphone where tremolo effects and sweeping glissandi predominate. This activity
leads to the dynamic climax of the second movement in measure 63 where
staggered decrescendi resolve to a tutti piano and then escalate to fortissimo at the
close of the third section.
Finally, the coda of the second movement features two dynamic patterns
from. the introduction dispersed throughout the ensemble in four-second crescendi
or decrescendi. This mixed dynamic activity, highlighted by muted and muffled
textures identical to those in the second section, yields to one final crescendo of
paper rustling which segues into the third movement.
Pitch Organization
All pitches in the second movement are extracted from a 32-note series
consisting of eight four-note clusters. Each cluster contains the first four pitches of
a specific blues scale and is constructed so that the roots of each, when stacked
vertically, form an altered dominant chord.
Figure 5. 32-Note series at measure five.
This chord, hidden among other pitches in the series, first appears in the key of
F and later in the movement is transposed to the key of Bb and C. The entire 32-
note series functions as a dissonant replacement for the traditional dominant
xv
seventh chord thereby creating an alternate harmonic variation of the blues
progression.
The first section of Movement Two features dyads extracted from each of
the four-note clusters and spaced a minor third apart. The minor third interval is
significant because it represents the first interval in the blues scale. Horizontal
placement of the dyads is determined by pitch range which is numbered from lowest
(1) to highest (8). Each one of the four-note clusters, from which the dyads are
derived, represents a different pitch range. The numerical succession of pitch
ranges for the first section is illustrated in the following graph:
Figure 6. Dyadic pitch ranges in measures 7-13.
.7
.5
middle C ----------------------------------------- 3---------------.-------
The above pitch ranges are selected so that no two are repeated and that no
adjacent ones occur successively. This in combination with the varied instrument
selection within and between each dyad creates timbral variety in the first section
of Movement Two.
The entire 32-note series is transposed down to the key of Bb in the second
section of Movement Two and triadic clusters spanning the interval of a perfect
xvi
fourth are presented. Horizontal placement of the triadic clusters represents a
reverse of the numerical order in the first section (i.e. 2, 6, 8, 3, 5, 1, 4, 7). The
overall pitch range of the triads in the second section ventures lower because of the
transposition down by a fifth.
Figure 7. Triadic pitch ranges in measures 16-28.
7
middle C ------------------------------------------------------4
3
.21
The close of the second section repeats the above process transposed to the original
key of F while the triadic clusters increase in interval span to that of a tritone.
The third and final section of Movement Two transposes the 32-note series
up a fifth to the key of C and then down a ninth to the key of Bb. All pitch
activity in this section is placed above a constant or recurring harmonic pedal that
represents the root of each series. The section features open tetrachords which for
the first time in the movement contain intervals greater than an octave. For the
series built on C, all four pitches within the tetrachord are selected from two
adjacent or nearby pitch ranges (i.e. 1 and 2, 3 and 5, etc.) and span the interval
of a perfect fifth. Horizontal placement of these tetrachords is organized so that
xvil
no exact pitch range is repeated and only limited adjacent pitch range between
tetrachords is allowed.
Figure 8. Tetrachoral pitch ranges in measures 29-34.
8 37 7 7
b 6 6 65* C-S5 5
middle C ------ ---------------------------- ------- i--------..-.-.---.--.------....3 3 3 3
1 1
The result is a great amount of timbral variety both within and between tetrachords.
For the series built on Bb in the latter part of the third section, all pitches
within the tetrachord are selected from four adjacent (i.e. 2, 3, 4, 5, etc.) or two
adjacent and one or two nearby pitch ranges (i.e. 2, 3, 5, 6 ; 2, 3, 4, 6, etc.) and
span octave transpositions of the minor seventh. Because of their large vertical
range, horizontal placement of these tetrachords is structured so that two exact pitch
ranges from the previous tetrachord are repeated and any adjacent pitch range
between tetrachords is allowed.
Figure 9. Tetrachordal pitch ranges in measures 36-43.
xviii
72 e 87 7 7 77 7 76 6 6 6 6 6 6 66
middle C 5 5 5 55 U 5 a5 5~ etc.
4 4+ 444 44 44+443 33 333 3 33
2 Iz 2 a a
This process creates the greatest amount of timbral variety within a chord
structure (i.e. four different instruments, four different pitch ranges) and represents
the rhythmic climax of the movement.
The coda of the second movement, in addition to the introduction, features
unison and octave transpositions of the pitch F. When placed at the beginning and
end of a series which represents the other interval spans in the movement, the
unison/octave transpositions complete an exact intervallic outline of the blues scale
(refer to diagram on page xxx). These steadily increasing vertical ranges, together
with the gradual acceleration of pitch density and harmonic dissonance, produce
the structural crescendo of the movement.
xix
MOVEMENT THREE
The third movement of Explorations features a contrapuntal polymetric
collage of variations on a single four-note motive. The collage is formed by the
gradual increasing of pitch and rhythmic density as well as an elaboration of
harmonic and dynamic procedures. The combination of these elements provides the
background fabric for an exchange of melodic, periodic questions and dissonant
aperiodic answers.
Pitch Organization
All harmonic and melodic pitch material in Movement Three is derived from
a four-note motive consisting of two consecutive major third intervals followed by
a perfect fourth.
Figure 10. Four-note motive.
With the exception of the major sixth, all intervals in the four-note motive (i.e.
major third, augmented fifth, minor ninth) play important structural roles throughout
the movement.
The melodic foundation of the contrapuntal collage begins in the bass and
later occurs in the baritone saxophone and places the four-note motive over a
xx
period of seven measures. The placement occurs such that the first, third, fifth and
seventh notes of the phrase spell the four-note motive, while the second, fourth,
sixth and eighth notes represent a slight variation of the motive (i.e. two major
thirds followed by an augmented fourth). At the end of measure 8, the phrase is
repeated in retrograde form while also syncopated and transposed down one
semitone. The entire fifteen-measure procedure is then repeated one semitone
above the original, producing the following pitch roots of each phrase: C#, C, D
and C#. Continuation of this procedure results in a gradual ascension of pitch
range based on repetition and provides a stable foundation for the collage (see
pitch organization chart on page xxxi).
The vibraphone entrance in measure 2, beginning a major second above the
bass entrance, produces the first harmonic material in the movement. Dyads,
spaced a minor ninth apart, are layered over the bass line in four-measure durations
separated by half, dotted quarter and quarter rests in alternating fashion. The roots
of each successive group of three dyads outline an augmented triad, first by leaping
an augmented fifth and then by filling in a major third. The root movement
between each group of three dyads represents the inversion of the root movement
of each bass phrase (i.e. Eb, E, D, Eb), but in contrast to the base line, octave
transpositions are employed for registral contrast. In measure 32 and 61, minor
ninth dyads spaced a major third above the previous dyads are added to the
vibraphone texture, forming two augmented triads a minor ninth apart. This results
in an identical interval formation to that of the four-note motive.
Coinciding with the increased pitch density in the vibraphone is the entrance
xxi
of trombones 1-3 and tenor saxophone 2 which features four-note pulsed glissandi.
Each glissando contains two minor second and one major second interval and
descends or ascends the distance of a whole tone over four beats.
Figure 11. Pulsed glissando measure 32.
The roots of each successive group of four glissandi outline the four-note motive
while the first root of every four glissandi outlines transpositions of the root
movement of each bass phrase, determining the key of the four-note motive (refer
to pitch organization chart on page xxxi).
The piano entrance in measure 46 articulates the first note values of short
duration in the movement. Syncopated eighth note and quarter note clusters
consisting of eight pitches punctuate the legato background provided by the bass,
vibraphone, cymbals, trombones, and tenor saxophone. Each piano cluster consists
of four pitches a whole tone apart in the left hand and an identical formation a
minor ninth higher in the right hand. The result is a dissonant whole tone chord
occurring in two keys simultaneously. Paralleling the root movement in the
vibraphone, the roots of every two piano clusters in both hands represent the
inversion of the root movement pattern in the bass. Paralleling the interval distance
within each cluster, the root movement of every two cluster group is that of a whole
tone (refer to pitch organization chart on page xxxi). After outlining the whole tone
xxii
scale in descending fashion, the six roots are transposed down a minor second and
repeated. As in the vibraphone figure, octave transpositions of pitch roots are
prevalent.
Measure 61 represents the first entrance of the four-note motive in its
original rhythmic form and is introduced by alto saxophone, muted trumpet and bass
trombone. The motive unfolds in groups of four melodic variations on the original:
transposed retrograde (i.e. A, E, C, Ab), transposed retrograde (i.e. D, A, F, Db),
transposed retrograde with octave displacement (i.e. G, D, Bb, Gb) and transposed
original with fourth pitch of series occurring second (i.e. C, Db, E, G#). The roots
of each motive are spaced a perfect fourth apart and continue the cycle of fourths
until all keys have been completed. After completion of the cycle, the process is
transposed up a minor second from the last pitch root of the previous cycle.
All the aforementioned contrapuntal procedures provide the background
fabric for an exchange of melodic events which begins in measure 89 with first and
third trumpet and soprano saxophone. The first melodic event takes the form of
a fourteen-note atonal question in a jazz style (i.e. swing eighth notes and triplets,
pitch slides, plunger sounds) that concludes with the descending major third interval.
Pitch selection for the atonal question is determined by random procedures which
allow for repetitions of notes and the presence of an ascending and descending
augmented triad.
xxifi
Figure 12. Atonal question in first and third trumpet, measure 89.+ 0 +
The question is immediately followed by a dissonant answer in the guitar, fourth
trumpet, and first tenor saxophone which features melodic combinations of the
minor second and major third intervals (refer to measure 94 in the score). This
initial exchange sets off a series of related confrontations between periodic questions
of increasing duration and aperiodic answers of increasing pitch density, range and
duration. Pitch material for all aperiodic answers in the movement is either derived
from the four-note motive or the root movement pattern in the bass. Aperiodic
answers that occur first, third, fifth, etc. in the series derive their pitch material from
the four-note motive, while answers that occur second, fourth, sixth, etc. derive their
material from the root movement pattern in the bass. The confrontations which
escalate in volume and increase in dissonance over ninety measures lead to the
climax of the movement in measure 182.
Pitch operations for the climax of the movement feature the following three
events: repetitions of fragments from earlier aperiodic activity, repetitions and
octave transpositions of the major third interval, and improvised pitch flurries. The
above events occur in three intermittent bursts before a final unison major third,
identical to the first interval of the movement, closes the work.
Rhythmic Organization
Rhythmic organization in Movement Three is based on an accent pattern
xxiv
extracted from the first nine measures of a Charlie Parker composition entitled, "Au
Privave". Characteristic of this pattern is a shifting metric emphasis between triple
and duple time.
Figure 13. Rhythmic accent pattern from first nine measures of "Au Privave".
Accordingly, all periodic metric procedures in the movement incorporate 3/4 or 4/4
subdivisions.
The rhythmic foundation of the contrapuntal collage occurs in the bass
through alteration and repetition of the first measure of the accent pattern.
Alteration occurs by expanding the quarter note to a dotted quarter and the eighth
note to a dotted quarter tied to a dotted half note. After three such repetitions of
the figure, a 4/4 measure is inserted for rhythmic displacement and the process is
repeated. This results in a very rhythmically repetitive and stable foundation for the
collage.
The next important rhythmic structure occurs in the drums in measure 16
and divides the accent pattern into several short fragments dispersing them over
approximately thirty measures. No fragment contains less than two or more than
four notes. This process leads to the original accent pattern in measure 76 and
coincides with the introduction of an atonal quarter note walking pattern in the
bass. The original accent pattern is performed using the entire drum set (i.e. rims,
xxv
shells, cymbals and heads) and concludes with a short improvised aperiodic fill
which increases one beat in duration every repetition. This glimpse of aperiodic
activity foreshadows the sweeping aperiodic gestures later in the movement and
creates a more interesting rhythmic counterpoint by placing the accent pattern in
different rhythmic locations within the collage.
Isolated eighth and quarter note attacks interspersed between two and three
measures of silence characterize the rhythmic structure of the piano entrance in
measure 46. Each syncopated or non-syncopated attack either coincides with an
identical rhythmic value in the drums or occurs when no drum activity is present.
This results in a traditional written out comping pattern for piano which reinforces
the accent pattern of the drums and fills out the collage texture.
The next rhythmic structure of importance occurs in measure 61 and
represents repetitions of the rhythm found in the first measure of the accent
pattern. Alto saxophone, muted trumpet and bass trombone subdivide the dotted
quarter note into three eighths, creating four even eighth notes that make up the
rhythm of the four-note motive previously discussed. These four, even eighth notes
are separated by four quarter note rests, except when preceeded by a 4/4 measure
in which case the rest is three counts in length. The result of this procedure is a
one-beat rhythmic displacement occurring every sixteen measures.
The last periodic rhythmic structure of the movement occurs in measure 89
and borrows three syncopated eighth notes from the second measure of the accent
pattern. The three eighth notes begin the trumpet and soprano saxophone phrase
which recurs a total of five times, thereby acting as a unifying rhythmic motive
xxvi
throughout the middle part of the movement.
Aperiodic rhythmic structure in the latter half of Movement Three is
organized according to patterns of rhythmic density. Each instrument in the
ensemble is assigned a number between one and six representing the number
pitches to be performed in close succession followed by a short period of silence.
Each successive occurrence of every aperiodic rhythmic pattern increases in duration
producing a diverse rhythmic texture which continues through the climax of the
movement.
The rhythmic climax of Movement Three features intermittent fragments of
earlier aperiodic activity separated by repetitions of the first two and one half
measures of the accent pattern (see measure 182 in the score). This symbolizes the
last rhythmic conflict between periodic and aperiodic events and leads to the final
crescendo of rhythmic activity in the movement.
Dynamic Scheme
The dynamic scheme of Movement Three features several different recurring
patterns of adjacent dynamic levels (e.g. piano, mezzo piano, mezzo forte or mezzo
piano, mezzo forte, forte, etc.). These patterns occurring in the vibraphone, drums,
trombones/tenor saxophone, piano, trumpet/alto saxophone/bass trombone, and
trumpets/soprano saxophone unfold within a larger structural crescendo that is
created through the gradual addition of pitch and rhythmic density throughout the
movement. Each of the above instrumental groups continues this dynamic pattern,
increasing one level in volume before the climax of the movement. This results in
xxvii
a varied dynamic texture which highlights different instrumental groups within the
collage and parallels the rhythmic diversity of the movement. The final dynamic
gesture of the Movement Three features an enormous crescendo of aperiodic
activity that escalates from pianissimo to fortissimo bringing the entire work to a
close.
xxviii
APPENDIX
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EXPLORATIONSFOR EIGHTEEN-PIECE JAZZ ENSEMBLE
IsI RUDNICK
1991
2
ACKNOWLEDGEMENT
The author greatly acknowledges the invaluable assistance of Mr. Lawrence M.
Srubas in the computer formatting and printing of text, musical examples, illustrations and
score instructions for Explorations.
NOTATION
0 Spatial notation; no meter.
Spatial notation, regular beats
3Spatial notation, irregular beats (dotted lines indicate subdivisions).
Tongue air through instrument, use tuht syllable.
Key slap, valve click.
Valve click, loosen valve cap to produce louder clicking sound.
O~ Slide bump.
Slide bump, loosen connector bolt to produce loud rattling sound.
Tongue slap.
Tongue smack.
Mouthpiece pop.
Highest note possible on instrument (e.g. saxophone squeak, playingt above nut on guitar, etc.).
Fingernails on bell.
Pencil on bell rim.
On pegs inside piano.
On felt hammers inside piano
Behind bass bridge.
On bass bridge.
On bass tailpiece.
On drum shells.
On cymbal stands.
Rim shot.
Knock on body of instrument.
Slap strings with palm of hand and immediately dampen (forvibraphone, slap bars with drumsticks perpendicular to bars, no stickrebound.)
Depress piano key silently.
Produces harmonics (e.g. bow on cymbal rim or vibraphone bar,slapping piano pedal while silently depressing keys, etc.).
Fast coin or guitar pick scrape across cymbal, string or vibraphone bar(let vibrate).
Continued coin scraping in circular motion on cymbal.
Continued guitar pick scraping in back and forth motion across string.Number in circle indicates the string used (1 is highest).
Inside the piano glissando; arrow indicates range of glissando (letvibrate).
Pulsed glissando.
Rustle music paper on stand.
AL4
Rapid aperiodic flurries of pitches as indicated by contour line.
Pitches to be performed in rapid staccato manner. Accidentals applyonly to the pitch they precede.
Indeterminate pitch.
Repeat in order for duration of extender.
Slurred chromatic fall.
Pitch slide up to indicated note.
Closed, open
Soft yarn mallet.
rF
Hard yarn mallet.
Use mallet handles.
/L Wire brush.
D Coin.
Guitar pick.
Drum sticks.
2A Rub sticks against cymbal rim.
Conductor cue.
Two-handed conductor cue.
Conductor cut off.
IEXPLORATIONS
Sv btongued airV
Saxophones k"y"sla
key slap
Y~" "X ~ 'AAL q
Isi Rudnick
penclon bell~*~**
tongued air
Uoncue coase und au
cOWIMue inceockwWse fAh nundi aW
- - -- - L--. L-- 7%0events have been ,per rme. JIzen
tongued airarrangement (no cue) and repeat Trumpets/Flugeihorns tnue i
continue clockwise movement until tongued air pncil on bell
is determined by the player, but should -valve click vatve click
dbppencilonbell
Trombones ____________onbell
tongued air
slide bumpI fingernaila on bell _________________
tongued air6W U
playabovenu
Electric Guitar(distortion)
Vibraphone
Contrabass
Drum Set
Piano
play above nut
tap on frame
tap behind bridge with bow tip
on shells
inside the piano
tap on felt hammer LZ77%fl 7'I
A vv-q-ir Irtl%
mp nn nbl
- /
Saxes
smack
____________________mouthpiece pop
mouthpiece pop-
Tbns. mouthpiece pop
9macm
mouthpiece pop
fig J1)
Guitar
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Bass
Drums
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0
86 "
knock on body
strike tub
on bridge I f% s IIbehind bridge
ont cyin. stands
j Y0
A n Z A
tap on pep
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tongue dabp
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Alto Saxophone
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Flugelhorn 1
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Trombone 1
Trombone 2
Trombone 3
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decrescendo a10 MD
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26
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30
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