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The document discusses an analysis of tonal references in Luigi Dallapiccola's twelve-tone composition Quademo Musicale di Annalibera, particularly through the use of triadic vertical harmonies.

The thesis investigates the tonal references in Luigi Dallapiccola's Quademo Musicale di Annalibera (1952), particularly movements 1 and 7, 'Simbolo' and 'Andantino Amoroso e Contrapunctus Tertius.'

Tonal references are presented in three ways: 1) triads and seventh chords within the row ordering, 2) chordal voicings and transformations in close position, and 3) local tonic-dominant relationships throughout the composition.

TONAL REFERENCES IN LUIGI DALLAPICCOLA'S

QUADERNO MUSICALE PI ANNALIBERA

by

RACHEL ELICE MANN, B.M.

A THESIS

IN

MUSIC THEORY

Submitted to the Graduate Faculty


of Texas Tech University in
Partial Fulfillment of
the Requirements for
the Degree of

MASTER OF MUSIC

Approved

May, 2002
2002, Rachel Elice Mann
ACKNOWLEDGEMENTS

I would like to thank Dr. Guy Capuzzo for all of his guidance in this scholarly

endeavor. His advice was both insightful and reassuring. I would also like to thank the

remainder of my committee. Dr. Matthew Santa and Dr. Wayne Hobbs, who also assisted

me in the completion of this formidable task. I would especially like to thank the Texas

and South Central regional Societies for Music Theory. I was given the opportunity to

present papers at each of the two conferences in 2(X)2, and the questions and comments I

received following my presentation proved to be invaluable. Finally, I would like to

thank my parents, James and Janie Mann, and also Jason Mitchell Bums for encouraging

me to strive for excellence andfiirthermy education.

n
TABLE OF CONTENTS

ACKNOWLEDGEMENTS ii

ABSTRACT iv

CHAPTER

L INTRODUCTION 1

II. ANALYSIS OF MOVEMENT NO. 1:"SIMB0L0" 14

III. ANALYSIS OF MOVEMENT NO. 7: "ANDANTINO AMOROSO

ECONTRAPUNCTUSTERTIUS-RESOLUTIO" 57

IV. CONCLUSION 77

BIBLIOGRAPHY 79

ui
ABSTRACT

This paper investigates the tonal references in Luigi Dallapiccola's Quademo

Musicale di Annalibera (1952), particularly movements 1 and 7, "Simbolo" and

"Andantino Amoroso e Contrapunctus Tertius." Tonal references are present in three

ways. First, triads and seventh chords are presented within the ordering of the twelve-

tone row. Second, chordal transformations are presented in close position to encourage

the listener to perceive them as such. Third, tonal references occur in the local tonic-

dominant relationships, which are prevalent throughout the movement as well as the

entire composition.

While the Quademo Musicale di Annalibera is a twelve-tone conqK)sition, these

fleeting moments of tonality can be seen throughout "Simboto" and "Andantino

Amoroso," as well as the remainder of the work. Through his use of tonal references,

Dallapiccola is able to manipulate the row to provide the listener with a sound that, at

times, seems both tonal and atonal.

IV
CHAPTER I

INTRODUCTION

Luigi Dallapiccola's twelve-tone piece Quademo Musicale di Annalibera (1952)

is remarkable in its ability to create tonal references through the use of triadic vertical

harmonies. This thesis vydll examine the composition's vertical harmonies, which set the

Quademo apartfi-omother works of the same genre and style period. It will also discuss

the piece's row through in-depth analyses of two of the work's eleven movements.

The Quaderno Musicale di Annalibera presents these tonal references in three

ways. First, it presents triads and seventh chords within the ordering of row. Second, in

the realization of the row, chordal voicings and their transformations are presented in

close position, which may encourage the listener to perceive them as triads or seventh

chords. Third, tonal references occur in the local tonic-dominant relationships, which are

prevalent throughout the entire composition.

Chapter I is divided into three sections. Section 1.1 provides an overview of the

Quaderno Musicale di Anruilibera. Section 1.2 provides biographical information about

Dallapiccola and compares the Quaderno to other works by the composer. Section 1.3

relates the tonal references of the Quademo in a literature review to other works of the

same genre and style period.


1.1 Overview

Section 1.1 is divided into two sections. Section 1. la provides a brief history of

the Quademo Musicale di Annalibera. An overview of the entire work is given in

Section 1.1b, with in-depth analyses of no.l, "Simbolo" and no. 7, "Andantino Amoroso

e Contrapunctus Tertius" found in later chapters.

1.1.1 History and Overview of the Quademo Musicale di Annalibera

The Quademo Musicale di Annalibera was composed for the Pittsburgh

International Contemporary Music Festival during a trip across Canada, the United

States, and Mexico in August and September of 1952. Because of this, "it seems no mere

coincidence that the two works written furthest fi-om home (Tartiniana and Quademo)

should contain in transmuted form the feeling aroused by oqieriences and memories of

Italy."' This Musical Notebookfor Annalibera, which Dallapiccola dedicated to his

daughter on her eighth birthday, recalls J. S. Bach's Das KlavierbUchleinfiir Anna

Magdalena Bach? In addition to the similarities in the titles, each was written as a series

of simple piano pieces. Dallapiccola also pays homage to Bach with the femous BACH

motive.^ This is fiirther explained in Chapter H.

' Vlad (1957:47). Tartiniana, published in 1951 by Edizioni Suvini Zerboni, is a divertimento fa-
violin and chamber ordiestra. Dallapiccola wrote it while teaching at Tanglewood during the summer of
1951.

^Burkhart( 1994: 512).

^ German notation: B - A - C - H = Bb
This same piece for solo piano was later transcribed for orchestra and was entitled

Variazioni per Orchestra (Variations for Orchestra), which was commissioned by the

Louisville Symphony Orchestra in 1954. The Quademo likewise provides much of the

thematic material for Dallapiccola's Canti di liberazione (Songs of Liberation), a

conyjosition for choir and orchestra, which commemorates Italy's independence fi-om

Fascist control

1.1.2 General Overview

The Quademo Musicale di Annalibera is Dallapiccola's only twelve-tone piece

for solo piano. The work is divided into eleven movements, each lasting no more than

three minutes. Dallapiccola described the Quademo as "not at all variations in the

traditional sense of the word. At the base of the whole composition, there is the same

twelve-tone row, and there are eleven variations. The titles give an indication of the

musical content."^

Also recalling J. S. Bach's Das KlavierbtichleinfUr Anna Magdalena Bach, the

Quademo Musicale di Annalibera combines nwvements in strict contrapimtal style with

fi-eely composed pieces. The work opens with "Simbolo," which is discussed in detail in

Chapter II. The second piece, "Accenti," is marked Allegro; confuoco and lasts only 27

seconds. Thisfi-eemovement is characterized by accented patterns of harmonic chords

and tone clusters. "Accenti" then moves to a contrapuntal movement entitled

"Contrapunctus Primus." This piece begins with the row form Te(P) rather than T,(P) as

" Barfoot (1998: 1).


in the first and second movements. Appearing as long fluid lines played against each

other, the three-part canon ends as unobtrusively as it begins.

The fourth piece, "Linee," is marked tranquillamente mosso. Thisfi-eemovement

is characterized by a slurred eighth-note melodicfigureplayed over single sostenuto

tones. It is followed by a second contrapuntal piece, "Contrapunctus Secundus (Canon

Contrario Motu)." Thispoco allegretto; "alia Serenata" movement is a canon with

entrances occurring one eighth note apart. The two voices continue through the end of m.

4 and, following a caesura, the canon begins again, continuing as before to the end of the

movement. According to Roman Vlad, "the staccato notes are marked quasi pizzicato

and the chords quasi accordando, as if to recall the Ught nocturnal strumming of guitars

and mandolins."^

The sixth nwvement, "Fregi," follows the "Contrapunctus Secundus." This

expressive movement reiterates the original row form in the upper voice. The row later

returns in the lower voice in inversion. The third andfinalcontrapuntal movement,

"Andantino Amoroso e Contrapimctus Tertius (Canon Cancrizans)," follows as the

seventh movement of the Quaderno. This piece is discussed in Chapter III.

"Ritmi" is the eighth movement of the Quademo. Labeled violento and ruvido,^

the movement imparts just these qualities. "In the two successive pieces, "Colore" (no.

' Vlad (1957:47).

* Ruvido - harsh.
9) and "Ombre" (no. 10), the interest is centered in the tone-color, whilst in the final

"Quartina" the musical expression, though controlled, reaches its greatest intensity."'

1.2 Biographical Sketch of Dallapiccola

Section 1.2 is divided into two sections. Section 1.2.1 gives a biographical sketch

of Dallapiccola as a composer. Section 1.2.2 describes the Quaderno Musicale di

Annalibera in reference to other works by the composer.

1.2.1 Biographical Sketch

Luigi Dall^iccola was bom in Pisino, Istria (now Croatia) on February 3, 1904.

"Although Italian, Dallapiccola was bom in a part of the coimtry, which was then part of

the Austro-Hungarian Entire. It was transferred to Italy in 1918 and is now part of

Yugoslavia. A year earlier thefemilyhad been forcibly transferred to Graz, Austria, as

Luigi'sfetherwas deemed to be a dangerous nationalistic agitator."*

His father, a professor of classical languages and an avid music lover, enrolled

Luigi in piano lessons at an early age. The Austrian govenunent believed his father was

harboring pro-Italian sentiments. This was primarily because he was the headmaster of

the local school, which made him politically siispect. Dallapiccola'sfemilywasfirstheld

in a detention camp on the border and later sent to Graz, Austria in March of 1917.

While in Graz, Dallapiccola became acquainted with the music of Verdi and Wagner.

^ Vlad (1957: 48).

* Wright (1999).
After twenty months of internment, the Dallapiccola family retumed to Pisino in 1919.

Dallapiccola began his studies at the Conservatorio Luigi Chembini in Florence, Italy

two years later. His first degree in piano was awarded in 1924 and, continuing his

studies, he received a degree in composition in 1931. Dallapiccola was later named to

the faculty of the Conservatorio Luigi Chembini in 1934. It was during this time that he

became acquainted with contemporary music, even becoming an Italian representative for

the Intemational Society for Contenporary Music. Dallapiccola became interested in

conten^wrary music in 1924 after hearing a performance of Schoenberg's Pierrot

Lunaire. "A seed was sown then, which in due course, borefiixitin a gradual adoption of

Schoenbergian twelve-tone technique."' He began using the twelve-tone technique in

1939 after being influenced by composers such as Busoni, Schoenberg, and Webem,

using it almost exclusively after 1942. Dallapiccola was "noteworthy for putting the

disciplined 12-tone serial technique at the service of warm, emotional expression."*^ The

first twelve-tone piece Dallq)iccola conqwsed was the Liriche Greche, a cycle of three

songs entitled "Cinquefi-ammentidi Saffo" (1942), "Sex carmina Alcaei, una voce

canenda nonnullis comitanibus musicis" (1943), and "Due liriche di Anacreonte" (1945).

In April of 1938, Dallapiccola married Laura Coen Luzzato, of Jewish descent.

With the advent of World War II, Mussolini began his anti-Semitic policy, and

Dallapiccola's wife was removedfi-omher position at the National Library in Florence.

Because of his wife's persecution as well as that of his own in his youth, much of

' Morgan (1993: 122).

'*'Ciceran(2001).
Dallapiccola's music is highly political. It echoes cries of injustice and persecution and

contains many thematic lines representative of fi-eedom. "Dallapiccola, a modernist and

serialist for most of his career, wrote politically committed music that was hardly in

support of the status quo."" These themes are seen mainly in his vocal works, such as the

// Prigioniero (The Prisoner) and Canti di Liberazione (Songs of Liberation).

His only child Annalibera was bora in 1944, the year Florence was liberated. She

is the subject of the title piece, Quademo Musicale di Annalibera, written for her

birthday in 1952. In addition to his position at the Conservatory in Florence,

Dallapiccola taught composition in the United States at various summer music camps

such as Tanglewood and as a member of the feculty at Queens College in New York

during the 1950s and 1960s. "Recognized by knowledgeable observers as one of the

most talented conposers of the new Italian generation,"'^ Dallapiccola received

numerous awards for composition throughout the years and is generally acknowledged as

the first Italian composer to adopt the twelve-tone system. He died in Florence in 1975 at

the age of 71.

"Dallapiccola was the leading Italian twentieth-century composer tjetween

Puccini and Berio, and one of the most original receivers and refiners of the twelve-note

method. His music possesses a textural clarity and simplicity of line that owes as much to

the tradition oibel canto as to the example of Berg and Webem. However sophisticated

" Hermann (1997: 3.5).

'^ Nathan (1974: 163).


his harmonic and rhythmic invention, he never forgot that the origins of music lay in the

voice.""

1.2.2 Other Works by Dallapiccola

While the instnmiental music of Dallapiccola is not unknown, the majority of his

music is written for voice. According to Roman Vlad, "the con^ser's marked

preference for the human voice is in evidencefix)mthe very beginning, and is set into

rehef by the special vocal quality pervading all his later works, even those of which are

purely instrumental"''*

Dallapiccola began his composition career m 1925 with three songs for voice and

piano, entitled Fiuri de Tapo. Though none of his first conqwsitions were published or

performed before 1929, they were all written for voice and some other medium, such as

chamber ensemble, chorus, orchestra, or solo instnmient. All of the music composed in

Dallapiccola's early period, save one piece for three pianos, was composed for voice. By

the end of his career, less than twenty of his compositions were composed for a medium

other than voice. '^ He is known mainly for his operas and vocal works.

The feet that the Quaderno Musicale di Annalibera is Dallapiccola's only twelve-

tone work written for piano is interesting in light of thefeetthat he was a Professor of

piano at the Conservatorio Luigi Chembini in Florence. He wrote very little for his

" Grashoff (1999).

'"Vlad (1957: 5).

' ' This is based on Dallapiccola's list of published works as listed in Nicolodi (1975), not
including compositionsfoundonly in manusCTipt, transcriptions, revisions, or reaUiations.
primary instnmient. According to Donald Martino, Dallapiccola's music was not played

much in Italy, and he was simply known as "this nice man who taught piano and some

FuUbrights [5/c]."'^

The Quademo is not Dallapiccola's only dodecaphonic work exhibiting tonal

references. The aforementioned Liriche Greche (1942-1945) also contains tonal

references, as do his works, Ciaccone, Intermezzo e Adagio, and Rencesvals. One may

see in these works "the search after a still clearer action of tonal forces in a fully

chromatic context."'^

1.3 Literature Review

Numerous authors have approached Dallapiccola's twelve-tone music and noted

its tonal features. Brian Alegant states that very little has been written about

Dallapiccola's music due to his "idiosyncratic handling of the 12-tone system.

Dallapiccola lises tone rows in ways that, until now, have proven analytically resistant."'*

John D. White claims that Dallapiccola composed a row for the Quaderno Musicale di

Annalibera in order to endow the piece with "triadic qualities."'^ Roman Vlad writes of

particular movements as having "harmonic implications"^" and Stefan Kostka discusses

'*Boros (1991:221).

'^ Vlad (1957: 30).

'* GrashofF(1999).

''White (1995: 103).

^ Vlad (1957: 47).


"tonal implications"^' and "diatonic 'progressions'"^^ in the work. Building on this

research, this thesis will analyze the row's ability to provide the tonal references

produced by the piece's vertical harmonies.

While most composers "avoid using in a row any combination of pitches that

would recall tonal music, such as triads, scale segments, and traditional bass or melodic

formulas,"^^ the Quademo Musicale di Annalibera exhibits both triadic harmonies as

well as vocal-like melodies, only loosely adhering to the rules of classical twelve-tone

serialism. Many composers turned to serialism as a way to breakfi-eeof the tonal system

and embrace new ideas, yet this style of coiiqx)sition had its own typical features as well.

According to John D. White,

"...If the objective is to avoid traditional triadic substructures, as it was for


the members of the Second Viennese School, then intervals of thirds,
sixths, and perhaps even perfect fifths are to be avoided in the constmction
of the tone row. Luigi Dallapiccola, however, consciously chose such
intervals in the constmction of the tone row for his Quaderno Musicale di
Annalibera in order to endow his harmonic language in that work with
triadic harmonies."^^

Members of the Second Viennese School exerted an influence on Dallapiccola.

Milton Babbitt "discusses an instance of borrowing in the music of Luigi Dallapiccola,

demonstrating that 'Contrapunctus Secundus'fi-omDallapiccola's Quademo Musicale di

^' Kostka (1999:208).

^ Ibid., 209.

^^ Ibid., 203.

^* White (1995: 103).

10
Annalibera is a gloss on the second movement of Webem's Piano Variations, Op. 27.'"^^

This is but one instance of Dallapiccola's engagement with the music of Webem and

Schoenberg. "There came the time when Dallapiccola embraced serialism and he

thought he knew all about twelve-note music but, when studying Webem, he realized that

he was very limited. His work fell into great decUne and he became a prisoner of

personal failure."^^ During this period of time, Dallapiccola composed very little.

Though Dallapiccola closely studied the serial music of the Second Viennese

School not all of the music produced by the latter was necessarily atonal Many twelve-

tone works of the Second Viennese School were fiill of tonal references. A perfect

example of this is the Violin Concerto by Berg. A portion of the work is based on a Bach

harmonization of the Lutheran chorale, "Es ist Genug,"^' a diatonic Carinthian folk

melody, and the Hauptrhythmus shown m Example 1.1.

Example 1.1

The Hauptrhythmus in Berg's Violin Concerto

^ Burkholdo- (2001). See also Dembski (1987).

2*Wri^t(1999).

" This is takenfromBach's Cantata BWV 60 (1723).

^* Hauptrhythmus -riiythmicmotive.

11
The Violin Concerto was Berg*s final composition, composed in 1935, and was

first performed posthumously on April 19, 1936. "As in his previous works, but even

more notably, the apparent intertwining of tonal and twelve-tone elements stemsfi-omthe

common source of Berg's cyclic language."^' These references are first seen in tlK row.

"The basis row of the concerto is designed in such a way that tonal combinations become

practically inevitable."^" The row, <G-B b-D-F#-A-C-E-G#-B k -C#-D#-F>, outlines a

G minor triad with its first three pes, and a B b augmented triad with pes 2-5. Berg

outlines a D major triad with pes 3-5, an F# diminished triad with pes 4-6, and an A

major triad with pes 5-7. Pes 6-8 compose a second augmented triad on C and there is

also an E major triad built on pes 7-9. The row ends with pes 9-12 hinting at the

beginning of a whole tone scale. This division of the tone row is seen in Example 1.2

below.

Example 1.2

+ +
/ ~ ~~\ / ~ \
G ^Bb D ^P" A 'C* E 'GP B C# ' D# F
^ '^ W ^ ^ '
m M m M Whole Tone

^' Headlam (1996: 357).

^^ Grout (1988: 861).

12
These tonal references are further solidified by the solo violin, which enters on

arpeggiations of its open strings, G, D, A, and E after the harp's entrance on the

arpeggiated fifths B b, F, C, and G. Many of the melodic lines in the concerto are built on

these fifths. This is true of the ending as well. Following a series of solos by varioiis

instmments of the ensemble, thefirstviolin ends the work with a return of the

arpeggiated fifths, which is answered by the contrabass, bringing the concerto to a close.

Numerous tonal references are present in Berg's Violin Concerto, just as such

references are present in the twelve-tone works of other conqwsers of the Second

Vieimese School. The work of Schoenberg, Berg, Webem, and others during the early

years of the twentieth century greatly influenced the twelve-tone music of Dallapiccola.

This thesis demonstrates how Dallapiccola was able to conpose an eleven-

movement work for piano that is twelve-tone in con^sition but bears many references

to tonality. This thesis will analyze both the twelve-tone technique and survey the tonal

references in Dallapiccola's Quademo Musicale di Annalibera through in-depth analyses

of the first and seventh movements, "Simbolo" and "Andantino Amoroso e

Contrapimctus Tertius."

13
CHAPTER II

ANALYSIS OF MOVEMENT NO. 1: "SIMBOLO"

Chapter II provides an analysis of "Simbolo," Sectbn 2.1 gives a brief

introduction and an overview of the piece's row. Section 2.2 describes the movement's

form. Analyses of tonal references and serial transformations are provided in Sections

2.3-2.5. Section 2.6 provides a conclusion.

2.1 Introductron

"Simbolo," meaning "symbol" in English, is aptly named; Vlad describes the

movement as a "symbolic tribute to Bach."' The movement begins with a low-register

repeating eighth notefigure,which gives the opening of "Simbolo" an almost foreboding

quality. At the same time, the tempo is marked Quasi lento and longfluidlines appear

throughout. Floating above this rhythmic pattern, a series of deliberate sostenuto chords

gains prominence. This is then interrupted by a rapidly moving chordal section with note

values of varying lengths. Because of the anticipation of where the next chord will fall

the listener is kept in suspense before the piece returns to the opening figure.

Dallapiccola continues to alternate between these two musical ideas for the

remainder of the movement. The only deviation occurs in m. 17, with a dramatic change

in texture. Dallapiccola alters the sostenuto chord motive by incorporating a new musical

sectioa The rapidly moving chordal section returns, but faster and in a higher register.

Vlad (1957:47).

14
which provides the climax of "Simbolo" before returning to the thematic material

introduced at the beginning of the movement. The movement ends with the musical

motive heard at the beginning of "Simbolo," but unlike the beginning of the movement,

thefinalsostenuto chord sounds long after the last repeating eighth note figure. This

endmg leaves the audience hanging, and propels them forward tofinda resolution in the

remaining movements.^

The opening measures of "Simbolo" introduce the row of the work. The row,

which first appears as T,(P) = <Bb-B-Eb-Gb-Ab-D-Db-F-G-C-A-E>,^ serves as the

basis for all eleven movements of the work. This is seen in thefirstfivemeasures of the

movement, provided in Example 2.1.

Example 2.1

Measures 1-8 of "Simbolo"

Bracketed section shows the row T,(P) = <B b -B-E b -G b - A b -D-D b -F-G-C-A-E>
1

^Lewin(1993:15).

^ Pitdi class integCTS "10" and "11" are labeled "f' and "e," respectively. Therefore, T,o(P) is
labeled as T,(P).

15
2.2 Form

The form divides into three sections resembling an A-B-A*. Measures 1-16

introduce the row and itsfirsttransformations. Section A is fiirther divided into smaller

sections discussed later in Section 2.3. The B section begins in m. 17 with a change in

both texture and tempo.'* This section includes the climax of the movement and is

discussed in Section 2.4. Measures 37-46, analyzed in Section 2.5, provide the return of

A, only shorter in length, and brings the movement to a close. This final A' section is

puzzling because it seems incortqilete.^ Because the final sostenuto chord continue to

soimd long after the staccatissimo dyad motive ends, "we are impelled onward to the

following pieces of the Quademo.""^

2.3 Measures 1-16

The A section of "Simbolo" is divided into alternating patterns offluidsostenuto

chords accompanied by a rhythmic ostinato pattern and transformations of eighth note

chords appearing in rapid successioit Section 2.3 of the thesis is divided into four parts.

Section 2.3.1 provides an analysis of mm. 1-5 and Section 2.3.2 of the thesis discusses

nim.6-10. Measures 11-14 make up Section 2.3.3 and Section 2.3.4 provides the analysis

of mm. 15-16. Example 2.2 provides an analysis of the row forms found in mm. 1-16.

" Lewin (1993: x).

' Ibid., 15.

* Ibid., 15.

16
Example 2.2

Section A of "Simbolo" - Measures 1-16

Bracketed sections indicate row forms.

^
mp; ataccatiss.
' ' t I aiirdle
V*rtT- ^m
^ m % g
aenzatiS^
RT5(P)
pweapr.
ten.

^a ^<^ lit

^ ^ J-^-^ -J
T^ T^ ^
~un poco in rilievo lawice ii^enore
aempre ppiuguaie legatias. aempre

^'^J^-Ts(P) K*^
(J):92-96) RT4(P)
moltop

Measure 17 contains pc 4 of the RT4(P) row.

17
2.3.1 Measures 1-5

The first five measures of "Simbolo" introduce the row of the worL It begins

with a repeating eighth note dyad, <A#1, B2>.' This motivic dyad, which comprises the

first two pes of the row, appears in the left-hand bass line and is played staccatissimo

with long sostenuto chords appearing above it in mm. 2-5. This can be seen beginning in

mm. 1-2 of the left hand in Example 2.3.

Example 2.3

Measures 1-2, "Simbolo"

Note the <A#1, B2> in the LH part, labeled t & e, respectively.

N. 1 - 5IMBOLO
Quasi lento (^=84) rnfijosl.
^ J :
^

vipi siaccaiiss.
i*^
, simile

m
I

^ ^

fa ^i
gf ett3 e j i e
senza "SJH^ t t t

The sparse texture of the introduction is deceiving, for its performance is far fi-om

simple and requires much thought on the part of the performer. Because the repeating

bass dyad must be played staccatissimo, the music is marked senza pedale. This makes

' The intega-s indicate the octave placement (Middle C = C4). Order is indicated by o .
Unordered pitdies or pes are indicated by {}.

18
playing the right-hand line difficult, for the performer must use unusual fingerings in

order to maintain the sostenuto effect. These sostenuto chords of mm. 2-5 are drawn

fi-om the remainder of the row.

The upper part of the left-hand sostenuto line presents a BACH motive, which is

first heard in "Simbolo" in the uppermost voice of mm.2-5, with the notes Eb-D-F-E.

Example 2.4 shows the right-hand part of mm. 1-5. The BACH motive is indicated by

larger noteheads. The voice is later transposed so that "m. 7 at last presents the motive at

the 'correct' pitch-class level (Bb-A-C-B)."* Dallapiccola's symbohc homage to Bach is

also noted in the title of the work. Dedicated to his daughter on her eighth birthday in

1952, this Quademo Musicale di Anruilibera recalls J. S. Bach's Das KlavierbUchleinfiir

Anna Magdalena Bach.

Example 2.4

Measures 1-5, "Simbolo" - RH line only

BACH line shown in larger noteheads, stemmed upward

Eb D
m.l
^ i J- - J
'I I
iJ.i
'^^-F

Transposed by T? = Bb H

* Lewin (1993: 6).

19
The remaining pes of the right-hand line are foimd in a chromatically descending

"alto" line and in an ic2flavoredGb-Ab-G-A "tenor" line.' The chromatic line, {Eb, D,

Db, C}, shares the first two pes of the BACH motive in mm. 2-5 and continues to move

down by half step. The last two pitches of this line create a major and minor third

respectively with the remaining F3 and E3 of the BACH line. The 2e2 line, so named

because of the 2e2 pitch class interval succession it creates, makes up the lowest or

"tenor" part of theright-handline."' This arrangement of sostenuto lines over a repeating

+13 dyad works very well with the row ordering Dallapiccola chose to serve as the basis

for the remainder of the Quademo. Example 2.5 shows the 2e2 line with the stems

pointing downward. The BACH line is shown in smaller noteheads, stemmed upward,

excluding the E b and D, which are shared with the descending chromatic line, also

stemmed upward.

'Lewin (1993:1).

"* ITie ordo-ed pitch class interval between G b and A b is 2; between A b and G is 11, and between
G and A is 2, thus die 2e2 label.

20
Example 2.5

RH line of mm. 1-5 of "Simbolo'

BACH Line Eb Dll Fll Ell


Chromatic Line: Eb Dtl Db
ml
^ J- I,^ J ^ ^
^

2e2 Line: Gb Ab 01] All

The first sostenuto chord is m. 2's {Eb3, Gb2}. Ab2 and D3 follow this in m. 3.

The top voice in m. 4 contains the pitches Db3, F3, and G2. Measure 5 con^letes the

row with the sostenuto notes C3, A2, and E3. Thus, the row of the work is Tt(P) = B b-B-

E b -G b -A b -D-D b -F-G-C-A-E.'' The Ustener cannot ascertain the row at this point but

will recognize it long before the close of the Quademo Musicale di Annalibera. The row

ordering is imveiled l)efore the close of the movement and is implemented in the

remaining movements as the composition further unfolds.

Example 2.6 shows the first two systems of "Simbolo." The two large brackets

indicate the row form and the pes are labeled with their integers. The row is labeled T,(P)
12
because the original row htgms on pc t.

11 x ^ ) = <t-e-3-6-8-2-l-5-7-0-9-4> in integer notation. TTiis paper uses the row labeling system
of Robert Morris (1991). TofindTo(P) = <0-l-5-8-t-4-3-7-9-2-e-6>, one must transpose the original row
by T] so that the row begins with 0.
12 TofindToCP) = <0-l-5-8-t-4-3-7-9-2-e-6>, one must transpose the original row by T2 so that the
row begins with 0.

21
Example 2.6

Measures 1-8 of "Simbolo"

The row of the Quaderno Musicale di Annalibera: Bb-B-Eb-Ab-D-Db-F-G-C-A-E

Bracketed section shows the row T,(P) = <t-e-3-6-8-2-l-5-7-0-9-4>

N. I - SIMBOLO
Qnasi lento (J^=84) ^;jo8t.

m mp; ataccatisa.
' t t f , aimile
V'it * I HJ I [|J I NJ ^
it ejif " tl? 't^
senza'iiSi.
# F t|5 jt^
pweapr.
ten.

IP i^

Tonal implications can be seen as early as the aforementioned measures. The first

chord in m. 2 could be heard as an E b minor triad if one listened only to the A#

(enharmonically spelled as B b for this purpose) rather than the B I) in the lower voice.

This is easy to hear because the A# is metrically accented, occurring on beats 1, 2, and 3

and is lower than B \\. Even though the minor triad occurs only on downbeats of the

22
measure, the {Eb, Gb, Bti} chord sounding on the upbeat is not dissonant to the ear, in

part because {Eb,Gb,Bb} and {Eb,Gb,Bli} belongto the same set class, 3-11(037).

Calling this aforementioned E b minorfiguretonic, it then moves to the

"dominant" Bb seventh chord with a missing fifth in m. 3.'^ This is unusual because

local tonic-dominant motions are rare in twelve-tone composition Again, the B l] in the

lower voice continues to sound as the root of a B^ chord.'"* The following measure can

be understood as a G"' chord using the A# (enharmonic B b) in the left hand and the final

chord of the row in the right hand of m, 5 can be heard as an as an A major triad.

While the row is the basis of the entire composition, set classes serve as the basis

of realizing the row. These set classes occur as subsets of the row. This use of

derivational subsets not only lends itself to stmctural variety, but also allows the listener

and performer to divide the row into aurally perceivable segments. One can difierentiate

pes if they are introduced in small subsets. It is easier to hear three, four, and six notes at

a time, rather than twelve in a row in no particular pattern. For example, the three

sostenuto lines that make up the chords foimd in the right-hand part of mm. 1-5 all form

members of set class 4-1 (0123). This helps the listener draw similarities between the

<3-2-5-4> BACH motive, the descending <3-2-l-0> chromatic line, and the 2e2 line.

When listening to the individual lines, as one would when practicing the piece for

'^ This is mentioned only to illustrate the local tonic-dominant relationship.

'^{Bli.D.F (missing), Ab}.

23
performance, this likeness of the subsets becomes evident. With this in mind, the

performer can decide which subsets to bring out.

One can also divide Tt(P) into two hexachords, <t-e-3-6-8-2> and its literal

complement, <l-5-7-0-9-4>, both of which belong to sc 6-31 (014579). The

aforementioned subset 6-31 (014579) as compositional device also creates hexachordal

combinatoriality. The prime form of the row, To(P) = <0-l-5-8-t-4-3-7-9-2-e-6>, can

map onto its conqjlement at TTICP) = <7-6-2-e-9-3-4-0-t-5-8-l>. The hexachord <0-l-5-

8-t-4> maps onto its complement <3-7-9-2-e-6> via both the To(P) and T7l(P)

transformations. Like all hexachords, To(P) can also map onto itself, or RTo(P), through

retrograde-combinatoriality. This can be seen in Example 2.7.

Example 2.7

Hexachordal Combinatoriality

H-1 H-2
To(P)= <0 1 5 8 t 4 3 7 9 2 e 6>

T7l(P)= <7 6 2 e 9 3 4 0 t 5 8 1>


H-2 H-1

H-1 H-2
To(P)= <0 1 5 8 t 4 3 7 9 2 e 6>

RTo(P) = <6 e 2 9 7 3 4 t 8 5 1 0 >


H-2 H-1

24
While the potential for hexachordal combinatoriality is built into the rows,

DaUapiccola does not use it for the basis of the composition; rather, he uses tonal

references. Set class 6-31 (014579) has the ability to provide tonal references because it

embeds four members of sc 3-11 (037) and one member of sc 3-12 (048).'^ These set

classes may form both major and minor triads and also augmented triads. This is why it

is easier for listeners to hear the local tonalities created in the row throughout the

composition.

Even though the Tt(P) row form, which serves as the basis for the Quademo

Musicale di Annalibera, is presented in thefirstfivemeasures of "Simbolo," the listener

is not yet able to ascertain the ordering of the row. Dallapiccola gives the listener and

performer this opportunity in the ensuing measures by composing rapid transformations

in the next several measures.

2.3.2 Measures 6-10

Dallapiccola set the original row form apartfiromfollowing transformations

through stylistic markings. The original row is played mezzo piano with a staccatissimo

bassfinerepeating imder a sostenuto upper voice. The texture changes radically in m. 6

with the addition of the pedal and a drop in dynamic level to piano. The score is marked

flessibile and espressivo and the line moves in chordal eighth notes rather than in longer

chords that carry through the entire measure.

'Morris (1991: 136).

25
After the presentation of Tt(P) in mm. 1 -5, nearly every measure presents a new

ordering based on the retrograde of the previous transformation. By m. 10, Dallapiccola

has composed three transformations of the original row, nearly all of which are

retrogrades of the previous. These relationships are seen in Example 2.8. Only the

second transformation in m. 6 is different because Ti is added to its retrograde. By the

end of m. 10, the hstener may well be able to recognize the row.

Example 2.8

Measures 5-12 of "Simbolo"

Measure 6 - RTe(P) = <5-t-l-8-6-2-3-9-7-4-0-e>~N,


RTfi
Measure 7 - T5(P) = <5-6-t-l-3-9-8-0-2-7-4-e> ^-
RTo
Measure 8-10 - RT5(P) = <e-4-7-2-0-8-9-3-l-t-6-5>'

piueapr.
ten.

^<--r ~un poco in rilievo lavoce infertore


aempre pp; uguale legatiaa. aempre
^ M ^==te ^ ^ ^ ^ S
P tf* Ij* IJ:

26
Another interesting compositional device used in mm. 6-8 is Dallapiccola's use of

time signatures. When the second row form appears in m. 6, the time signature changes

to 7/8. The following row moves into 6/8 and the last returns to 5/8. This produces a

state of ambiguity about where the downbeat fells and thus catches the listener's

attention. This is seen in Example 2.9.

Example 2.9

Measures 5-8 of "Simbolo"

Time Signature Changes - (m. 5 begins in 5/8)

The second row form of "Simbolo" comes in m. 6, as seen in Example 2.10. By now the

listener hears a similarity between mm. 1-5 and m. 6 because the latter soimds much like

the beginning five measures played as eighth notes rather than long chords.

27
Example 2.10

Measures 5-6 of "Simbolo"

The Row of Measure 6 (bracketed section):

RTe(P) = <5-t-l-8-6-2-3-9-7-4-0-e>

The new row form is RTe(P) = <5-t-l-8-6-2-3-9-7-4-0-e>. This row form is easy

to hear because the pes that make up the "chords" sounding in the right-hand of the of the

first five measures are now played in the same position and octave, but in reverse and one

half-step higher. Specifically, the row soimdsfemiliarto the ear because while the

transformation is the retrograde of the previous row at Ti, it also occupies the same

register.

The bar begins with the A minor chordfromthe previous row tied over the

measure. This chord is then taken up one half step to an A# minor chord. The next

chord, {G#2, F#3, D3}, can be understood as G#*'^ with a missing third. The following

chord, {D#3, A2}, is then succeeded by the chord, {G2, E3}. The final chord is another

28
+13 dyad, {C3, Bl}.'' This dyad is similar in soimd to the opening <t, e> dyad of the

piece. It is transposed only a semitone higher than the original.

The RTe(P) transformation is interesting because the first and last chord of this

row sound one half step higher than the original. The last chord also contains two of the

same notes of the previous row. The C2 of the A minor chord and the last note of the

repeating dyad, B2, are foimd in the last left-hand chord, only the B2 is played an octave

lower.

The third row form, seen in Example 2.11, is presented in m. 7. It is the

retrograde of the previous row, only transposed to begin on pc 5, like the row form before

it. This row begins and ends on the same pes as the row in nL 6.

Example 2.11

Measure 7 of "Simbolo"

T5(P) = <5-6-t-l-3-9-8-0-2-7-4-e>

r-r=i
^
i
*m M
evpr.
piup i4t-
m \|^_3
f T i

" +13 refers to ordered "pitch intCTval 13." The ordwed distance between Bl and C3 is 13
semitones. See Straus (2000: 8-9).

29
This row, T5(P) = <5-6-t-1-3-9-8-0-2-7-4-e>, realized on the musical surface as

alternating high and low register eighth note chords, begins with an {E#2, F#3} dyad

followed by a {A#3, C#3} dyad. The right hand returns with a {D#3, A3} dyad and is

answered by {Ab3, C4, D3}, a possible D^^ chord. This D"^ chord with a missing third

moves to the final chord of the row form, {E3, G3, B3}, or E minor in root position. In

tonal music this is a typical progression but in serial music, triadic progressions are not

the noriTL

The next row form appears in mm. 8-10. Dallapiccola again uses the retrograde

of the previous measure to link them together. Example 2.12 is the exact retrograde of m.

7, RT5(P) = <e-4-7-2-0-8-9-3-t-l-6-5>.

Example 2.12

Measure 8-10 "Simbolo"

RT5(P) = <e-4-7-2-0-8-9-3-l-t-6-5>

aempre pp; ugvale

30
Dallapiccola's use of retrograde may well help the listener recognize the row,

RT5(P) begins with an exact repetition of the E minor triad. This recurrence of the triad,

using the same pitches, might well alert the listener for a possible return of previously

heard material. The expectation is home out, for the following chord is the

aforementioned D"' chord, also spearing with the same pitches as its last occurrence in

m. 7. The next chord consists of A3, likewise using identical pitches, and E b4, which is

presented an octave higher than it was in the previous transformation. This idea is carried

through to the next dyad, which also contains the same pes as its previous row ordering,

{Bb4, Db4}, with each played an octave higher. The last dyad, {Gb4, F3}, begins a

second repeating eighth note motive. The last dyad of the RTe(P) transformation in mnx

9-10 reminds the listener of the beginning of the movement. Though played in a higher

register, the +13 is stillfemiliarto the ear except that it is played uguale^^ rather than

staccatissimo. By now, the hstener may well be able to recognize the row.

2.3.3 Measures 11-14

Dallapiccola begins a new series of row transformations in m. 11. This is ^ain

evident in the score with a change in style. The damper pedal is released and a new

musical idea begins, indicated by the legatissimo sempre marking. A T6l(P) = <6-5-l-t-

8-2-3-e-9-4-7-0> row form begins in m.11-14 with the repeating +13 dyad introduced m

" Uguale - equal, unifOTm.

31
m. 9, which continues throughout the left-hand bass line. This transformation suggests a

return of the rhythmic motion of the mtroduction. This can be seen in Example 2.13.

Example 2.13

Measures 9-14 of "Simbolo"

Hi l^ \ii \^ ^.

Though no longer staccatissimo, the bass line is now played without the pedal and

theright-handvoice returns with longer chords. The individual lines of therighthand

consist of the aforementioned BACH motive and 2e2 line. The most important line of

this transformation is the retrograde of the BACH motive. This voice, {C#4, D4, B3,

C4}, is easily heard, for the performer is instmcted to bring out the lowest notes of each

right-hand chord." The 2e2 Une, {B b4, Ab4, A4, G4}, returns in the uppermost part in

" The score reads, "unpoco in rilievo la voce inferiore.^

32
inversion as e2e. The chromatic line, {C#4, D4, D#4, E4}, returns as an ascending line

in retrograde.

The T6l(P) transformation is unusual because, though Dallapiccola was writing

for his instrument, the stylistic markings are very unpianistic. It is not typical or

idiomatic for the right-hand thumb to play louder than the fourth or fifth fmgers. The

tenuto markings on the retrograde BACH line makes the following section of the

movement feel like an etude because the performer has to pay close attention to whkh

notes receive more stress.

The T6l(P) row form overlaps with RT5(P) of m. 8. The last four pes of RT5(P)

and the first four pes of T6l(P) are identical Dallapiccola uses invariance to connect

these two rows. When RT5(P) = <e-4-7-2-0-8-9-3-t-l-6-5> is paired, note-against-note,

with T6l(P) = <6-5-l-t-8-2-3-e-9-4-7-0>, the four aforementioned pes map onto

themselves. The pes in the first four order positions then occupy the last four order

positions. The pes 4 and 7, which occur side-by-side, and against sc 4-20 (0158), also

map onto each other through RT5(P) and T6l(P). This is seen in Example 2.14.

Example 2.14

Invariant Relationship between RT5(P) and T6l(P)

The underlined pes indicate sc 4-20 (0158) and the <4, 7> dyad

SC4-20
RT5(P) = <e 4 7 2 0 8 9 3 t 1 6 5>

T6l(P)= <6 5 1 t 8 2 3 e 9 4 7 0>


SC4-20

33
In addition to the use of invariants, these row forms are also related by

hexachordal combinatoriality. RT5(P) can be divided into two hexachords, {e-4-7-2-0-8}

and {9-3-t-l-6-5}. TeKP) is likewise divided into hexachords {6-5-l-t-8-2} and {3-e-9-

4-7-0}. As seen in Example 2.15, thefirsthexachord of RT5(P) and the second

hexachord of T6l(P) are related by retrograde-uiversional combinatoriality.

Example 2.15

The underlined hexachords are related by RI.

RT5(P)= [e47208] [93tl65]

T6l(P) = [651t82] [369470]

These invariants and combinatorial hexachords are important because they help

the listener infindingthe aural similarities between RT5(P) and T6l(P). The harmonic

rhythm and the repeating, motivic dyad have retumed, but the related hexachords and

repetition of the pitches {1, 5, 6, t} are aurally perceivable. These pitches also provide

tonal references because the pes are members of sc 4-20 (0158), which embeds both

major and minor triads.

2.3.4 Measures 15-16

The next row form appears in m. 15 with another change in texture. It begins

with the repeating <5, 6> dyad in the left handfromthe previous four measures, tied over

the bar line. Rather than continuing as the melodic rhythmic motive, the dyad is now

34
sustained. However, the rhythmic motion is not lost, for the left-hand voice continues the

movement of the eighth notes in chords above the long sustained dyad in the right hand.

The eighth note rhythm is intermpted by an eighth-note triplet at the end of the measure

with a retum of the same pes in the same register. This can be seen in Example 2.16.

Example 2.16

Measures 14-15 of "Simbolo"

Row of Measure 15: T5(P) = <5-6-t-l-3-9-8-0-2-7-4-e>

Note how the <5, 6> dyad appears melodically at the end of m. 14
and harmonically at the beginning of m. 15

This row form, TsiP) = <5-6-t-l-3-9-8-0-2-7-4-e>, continues to support the

BACH motive, the 2e2 line, and the descending chromatic line introduced in thefirstfive

measures. The descending chromatic line appears in the uppermost voice of the right

hand with the notes <Bh5,A5,A\\5, G5>. The 2e2 hne is realized by the notes <D b 5,

Eb5, D5, E5>. The BACH line, which is transposed "to its 'correct' pitch-class level ,20

Lewin (1993: 6).

35
is obscured by octave displacement in this transformation. The line appears as <B b 5,

A5, C5, B li 4>. Example 2.17 shows only the right-hand part of the first two beats of m.

15. The 2e2 line is stemmed downward with x-shaped noteheads, the descending

chromatic line is stemmed upward, and the remaining notes compose the BACH line.

Example 2.17

Measure 15 of "Simbolo" - RH part only

The 2e2 line (D b-E b-D 1] -E l]) is stemmed downward with x-shaped noteheads.
The descending chromatic line (Bb-A-Ab-G) is stemmed upward.
The BACH hne (B b-A-C-B t|) is stemmed
both upward on beat 1 and downward on beat two.

The entire TsCP) row form is repeated beginning with the eighth note triplet on the

third beat of m. 15 and ending on beat one of the following measure, all played over the

<5, 6> dyad. Dallapiccola likely chose this row because, Uke the previous two rows, the

last four pes of RT5(P) and the first four pes of T6l(P) and Ts(P) are identical. The pes

36
{l,5,6,t}, which form a member of sc 4-20 (0158), link the three rows. Set class 4-20

(0158) provides a tonal reference in the B b (or A#) minor triad using the pes 1, 5, and t.

Measure 16 begins a new row form on the second chord of the right hand. It

sounds hke the previous row due to the feet that it is the Ti i retrograde of the row form in

m. 15. The row is labeled RT4(P) = <t-3-6-l-e-7-8-2-0-9-5-4>. It begins with an {Eb5,

Gb4, Bb4} chord, followed by {C#5, G4, B4}, {D5, G#4}, and {C5, A4} all played over

the same <5, 6> dyad in the bass line. This can be seen in Example 2.18.

Example 2.18

Measure 16 of "Simbolo"

RT4(P) = <t-3-6-l-e-7-8-2-0-9-5-4>

'V^f' 'ijulij'^^rlyii i
pr^ i i

These chords soimd similar to each other because the three right-hand motives are

preserved in the row form. The BACH line is present in retrograde using the pitches

<B b4 B1^ 4,G#4,A4>. The 2e2 line is still heard in the highest voice of the right-hand

37
with the pitches <E b5, C#5, D5, C ^ 5>. The descending chromatic line, now ascending

as a result of the R4 transformation, consists of the notes <G b4, G1] 4, G#4, A4> in the

lowest right-hand voice. The F3 of the <5, 6> dyad and the E4 in the left-hand part of m.

17 complete this row form. Though this marks the end of the A section, the overlapping

of the RT4(P) row into the begirming of the following measure helps link the two

sections.

2.4 Measures 17-36

The B section of "Simbolo" is likewise divided into smaller subsections. The

listener first notices an increase in tempo from M.M. 84 to M.M. 92-96. It begins with

long tones played in rilievo against a right-hand arpeggiated accompaniment in mm. 17-

24. Measures 25-29 provide the climax of the movement and mm. 29-36 retum to the

single line accompanied by moving eighth notes in the right-hand line. Section 2.4 is

divided into three sections. Section 2.4.1 provides an analysis of mm. 17-24. This

section also considers the invariant pairs of pes that link the end of the A and B sections

together. Section 2.4.2 provides an analysis of mm. 25-29 and Section 2.4.3 brings the B

section to a close in mm. 29-36. Example 2.19 labels the row forms found in mm. 17-36.

38
Example 2.19

Section B of "Simbolo" - Measures 17-36

Bracketed sections indicate the row forms.

^'liiMoPiosouro
p b # h

Hr fUr TUf
P;ma im poco in rilievo
T8l(P)

tilr iisn

39
2.4.1 Measures 17-24

Measures 17-24 provide two four-measure orderings of the row. Measure 17,

which ushers in the B section of the movement, is indicated in the score by both changes

in tempo and style. The measure begins in 5/8 with a clear presentation of the BACH

motive. Played by the left-hand in rilievo and louder than the right-hand line, the listener

is reminded of the begiiming of the movement. The texture is now thinner and this left-

hand line is heard at T+n of the original. The four-measure row form, as seen in Example

2.20, unfolds in the right-hand voice with repeating dyads of different intervals.

Example 2.20

Measures 17-20 of "Simbolo"

RT,I(P) = <4-e-8-l-3-7-6-0-2-5-9-t>

moltop

The first dyad in m. 17, <B4 and G#4>, forms an ic3. The next measure consists

of an ic6 dyad, <C#5, G4>. The third measure of the transformation, m. 19, has an ic2

dyad built on C5 and D4. Measure 20 contains an icl dyad, <A4, B b4>. This row

ordering, RTtI(P) = <4-e-8-l-3-7-6-0-2-5-9-t>, shares pc 4 with the previous RT4(P)

40
transformation. Dallapiccola connects this transformation with the previous by makmg

use of the feet that RTtl(P) and RT4(P) begin and end with the same pes.

While the Hstener may or may not hear the retention of pc 4, he or she may hear

tonal references. Measure 17 begins with an easy-to-hear E major triad in root position.

The right-hand line sounds very similar to the arpeggiated accompanying lines of the

mid-eighteenth century. The texture of mm. 17-24 reminds the listener of this earlier

period because the left-hand line is composed of long sostenuto chords that are

accorrqjanied by a rhythmic "Alberti-style" right-hand line. These repeating dyads recall

the "stereotypedfiguresof accompaniment for the left-hand in keyboard music consisting

of broken chords."^'

Following the E major triad in m. 17, the E moves down by one semitone to an

Eb7 chord (D# and C# enharmonically spelled Eb and Db) in m. 18. The seventh of the

chord resolves down correctly by half step to a C li in m. 19 to a D7 chord. The final

chord of the row form is a B bM*'^ (with a missing third and an enharmonically spelled

E#) in m. 20. This chord can also be interpreted as an F major triad with a missingfifthif

one acknowledges the B b sounding as an upper neighbor. All of these chords are quite

easy to hear, for they all occur in close position. This is shown in Example 2.21.

^'Randel(1978:ll).

41
Example 2.21

Measures 17-20 of "Simbolo'

moltop

EM Eb'* D6/5 BbM"^**


FM**

* The E b and D b are enharmonically spelled as D# and C#

** The F is enharmonically spelled as E#

The next row form, RTo(P) = <6-e-2-9-7-3-4-t-8-5-l-0>, begins in m. 21. RTo(P)

in mm. 21-24 continues the new style and texture introduced by the tempo change in m.

17. Though the right and left hands switch parts, the musical Une remains the same to the

ear. The BACH line, appearing m retrograde, is played in rilievo. By now, the listener

recognizes this motive in almost any row form due to its frequent appearance. Found

only one semitone higher in both position and octave, this motive continues to aurally

link the various rows together. This ordering of the row can be seen in Example 2.22.

42
Example 2.22

Measures 21-24 of "Simbolo"

RTo(P) = <6-e-2-9-7-3-4-t-8-5-l-0>

t>np; in rilievo

i ^

Sit>J
'^'!SPJ CT W S [yj 4>J b

The BACH motive, consisting of the notes <F#4-G4-E4-F4>, is accompanied by

three notes rather than two in m. 21. These notes, {D4-A3-D4}, are then followed by the

dyad <A3, E b4>. Measure 23 accompanies the BACH line with the <Bb3-Ab4> dyad

and the left-band line of m. 24 consists of the notes Db4 and C5.

The row form in mm. 21-24, like the previous transformations, embodies many

tonal references. These tonal references can be seen in Example 2.23. The chord in m.

21 can be understood as a Bm'*'^. This is easy to hear because it appears in fairly close

position and is only one half step higher than the final chord of the previous row form.

The following measure consists of an A"', which promptly moves up one semitone to a

B b*'' chord (F b enharmonically spelled E l]) in m. 23. Every pitch of the latter chord is

one semitone higher than the previous. The final chord of the transformation can be

heard as a D b M ' chord with a missing fifth.

43
Example 2.23

Measures 21-24 of "Simbolo"


p; in rilievo

^ ^

4/2
>
^g 07
W 5i~^ I
l/J llJ Si

Bm Bb 07* DbM''

The Fb is enharmonically spelled as E l]

2.4.2 Measures 25-29

Measures 25-29 provide the climax of the movement. Upon reaching the highest

loudest point in the movement, the music releases its built-up tension and heads towards

resolution. Measure 25 begins with a time signature change to 7/8, followed by changes

to 5/8, 3/4, and 2/4, respectively. This recalls the outset of the A section with the time

signature changes from 7/8 to 6/8, and then to 5/8, in mm. 6-8. The arpeggiated bass

accompaniment, present in mm. 17-24, ceases and is replaced by moving eighth-note

chords in both hands.

Measure 25 introduces the row form T7(P) = <7-8-0-3-5-e-t-2-4-9-6-l>. This is

seen in Example 2.24. This measure marks the ascent to the movement's climax with an

increase in dynamics to mezzo forte. The row begins on the second eighth note of the

measure with {C4, G4, Ab4} followed by {Eb4, E4, Cb5}. The pitches {D5, E4, Bb5}

44
make up the third chord and the final chord of the row consists of the pitches {C#5, F#4,

A4}. Only the final chord ofthe transformation sounds longer than the previous. This

chord is written as a dotted quarter rather than an eighth note.

Example 2.24

Measure 25 of "Simbolo"

T7(P) = <7-8-0-3-5-e-t-2-4-9-6-l>

All ofthe aforementioned motives and individual lines are present in this row

form. The BACH motive transposed by T2 to begio on C appears with the pitches <C5,

B4, D5, C#5>. The chromatic descending Une is present as well beginning with the C5

and B4 the BACH motive and continuing down to the in the notes B b4 and A4. The 2e2

line is also present, beginning with the E b4 in the right-hand part and moving to the left-

hand part for the F4, E4, and F#4. This line is more difficult to hear since the E b and F

sound at the same time, marking m. 25 as the first appearance ofthe 2e2 motive in this

fashion. The G4 and Ab4 sound together and are foUowed by B b4 and A4. These final

45
four pes complete the row. The latter two lines, unlike the chromatic line or BACH

motive, are difficult to hear because they do not appear as individual lines. Instead they

occur both harmonically and melodically, which makes these voices difficult to decipher.

Tonal references are seen in this mezisure beginning with the first chord. An

example of this can be seen in Example 2.25. The {C5, G4, Ab4}, can be understood as

an AbM*'^ chord with a missing fifth, moves to an F'^'^ and then to an E^^. The latter

two chords each lack a third but all three chords are easy to hear because they are played

in close position. Every chord of this row ordering grows louder, with the loudest chord

being the final F# minor triad. Stacked in thirds, this triadic harmony resounds for the

length of a dotted quarter note and is foUowed by an eighth rest. This is important

because the same pattern occurs in the next measure as weU, alerting the Ustener to the

opening section ofthe climax.

Example 2.25

Measure 25 of "Simbolo"

mf
JU ''Jililii
a 170 4/2 rr07
AbM*'^ F^ F#m

46
The next three measures, mm. 26-28, are based upon this same row form.

Measure 26 is the retrograde ofthe previous measure RT7(P) = <l-6-9-4-2-t-e-5-3-0-8-

7>. The first chord is an exact repeat ofthe final chord in m. 25, appearing in the same

octave and voicing. The next three chords share the same "tonal" properties as the

previous measure, only in retrograde, but many ofthe pes appear in different octaves,

though still in close position. Measure 27 can be analyzed in the same way. Both mm.

25 and 27 share the same row form, T7(P) = <7-8-0-3-5-e-t-2-4-9-6-l>. As in m. 25 and

26, the chords share the same labels but the pes appear in close position and in different

octaves. Measure 28 shares the same row form as m. 26, RT7(P) = <l-6-9-4-2-t-e-5-3-0-

8-7>. This row also appears as the retrograde ofthe previous measure, but with one

difference: the last two pes of RT7(P) are switched. In this transformation, pc 7 comes

before p>c 8. The tonal references and similarities between the row forms in mm. 25-28

can be seen in Example 2.26.

Example 2.26

Measures 25-28 of "Simbolo"

Measure 25 - T7(P) = <7-8-0-3-5-e-t-2-4-9-6-l>


Measure 26 - RT7(P) = <l-6-9-4-2-t-e-5-3-0-8-7>
Measure 27 - T7(P) = <7-8-0-3-5-e-t-2-4-9-6-l>
Measure 28 - RT7(P) = <l-6-9-4-2-t-e-5-3-0-8-7>

47
Measures 25-28 provide the climax ofthe movement. This is the only section of

the movement that begins mezzo forte; the rest ofthe movement in much softer. This

alerts the listener to pay closer attention to the change about to occur. The row forms

then repeat forward and backward against each other. Finally, in m. 27, "the chmax on

B b 5-A5 audibly recaUs the earlier mobiUty on B b that cuhninated at m. 15 on B b-A5.

B b5 remains the highest note ofthe piece."^' The foUowing measure likewise signals a

change to the listener because it provides the fastest harmonic rhythm ofthe movement.

Measure 28 moves downward in sixteenth note tripletsfroman A5 to an E b4, slowing to

an appena ritardando. The row form ends in m. 29 on aright-handsostenuto C4

accompanied by a repeating <G4, Ab3> dyad in the left hand.

2.4.3 Measures 29-37

Measure 29, which serves as thefinalmeasure ofthe prevwus row form, also

begins the following row form. This four measure row, T7(P) = <7-8-0-3-5-e-t-2-4-9-6-

1>, likewise serves as the retrograde ofthe previous transformation. Though the

cUmactic material has since passed, the Ustener should be aware that there is still more to

come before the movement's end. This continual repeat of T7(P) and its retrograde sends

a signal that a retum ofthe A section, or a possible C section is about to occur.

^'Lewin (1993: 11).

48
Example 2.27 shows the row ordering and tonal references in mm. 29-32. Once

again, the BACH motive is present in mm. 29-32. Transposed from the original <Bb, A,

C, B ti> to begin on C, the motive appears one octave lower than it did in m. 25.

Appearing ma in rilievo in the right hand and uguale in the left hand, these four measures

closely resemble mm. 17-20. Tonal references appear in m. with the AbM^ chord.

Resembling the "harmonic progressions" ofthe previous four measures, mm. 30-31 can

be analyzed as an F ^'' and an E "'', respectively. Measure 32 provides an F# minor chord

in fiirst inversion.

Example 2.27

Measures 29-32 of "Simbolo"

T7(P) = <7-8-0-3-5-e-t-2-4-9-6-l>

mp; ma in rilieto 31
^ ^

^ 3;
a tempo

m tJt
sm ^ ^ ^ ^
WIMKI'
P; uguale
p07* ?07 6/3
AbM' F#m'

* The A b is missing and the C b is enharmonically spelled as B li

49
Measures 33-37 provide the ending material for the B section. The Ustener, who

now may well be able to recognize both T7(P) and RT7(P), may be puzzled by the Tsl(P)

= <8-7-3-0-t-4-5-l-e-6-9-2> beginning in m. 33. These row forms are related by the

invariant pairs, {7, 8} and {6, 9}. Other pairs and pes would share invariance except for

that feet that the Tsl(P) row form actually appears in the order <3-7-8-4-t-0-l-e-5-2-9-6>.

Tgl(P) is also related to T7(P) in that they share the first four pes, {0,3,7,8}, thefirstthree

of which can be recognized as a minor triad.

The performer notices a difference in the score with the addition of a third staff in

m. 33. Suddenly the right and left hands are to hold long sostenuto chords and

simultaneously play repeating eighth note dyads. The long sostenuto chords provide the

BACH motive, appearing in retrograde. This Une, consisting ofthe notes <D#3-E3-C#3-

D ^ 3>, is played in the left hand while therighthand takes over the two remaining staves.

Only in m. 33 does the left hand take both the top and bottom staves, leaving the right

hand with the middle staff

This middle staff of mm. 33-35 comprises the repeatmg eighth note dyad <G3-

Ab3>, which breaks the harmonic rhythm to tie the last note of every measure across the

bar line, save for m. 35. The top staff crosses above and below the middle staff with

measures of repeating eighth note dyads. Beginning in m. 34, these dyads are <B b3-

C3>, <Bli3-F3>, and <A3-F#3>, respectively.

Example 2.28 shows the row form of mm. 33-37. Tonal references are more

difficult to hear in the realization, but are present nonetheless. Measure 33 can be

50
understood as an A bM^ chord. This chord then moves to C' embeUished by a

neighboring Ab. Measure 35 provides a Cif chord (the F and Ab are enharmonically

speUed E# and G#) with the G acting as a lower neighbor to the Ab (enharmonic G#) and

the final measure ofthe T8l(P) row ordering in m. 36 provides a D major triad in root

position and stacked in thirds. The triadic quality ofthe chord is unmistakable, and it is

held through the foUowing measure, which Unks it to the next section.

Example 2.28

Measures 33-37 of "Simbolo"

T8l(P) = <8-7-3-0-t-4-5-l-e-6-9-2>

(Bottom two staves begin in bass clef; upper staff begins in treble clef)
^ Q^=8i)
-k
\Hminm\
^ ^
^ i 1
ioscuro
ll^ !>[ 1;^ t*!* l^p^^.f '^i* t;^ ^^ \fi^^f lift ^1* ll
^ P
I I I

^ ^
P; ma n poco in rilievo
g ii -
%
S -
i
8 -

P # ip
"i yr "
AbM^^^ C' of DM tetaa^Si.
(Cm^/EbM)

^^ Hearing the A b as an upper neighbor to G, this chord can likewise be interpreted as a first-
inversion C minOT triadOTan Eb major triad with a missing fifth.

51
2.5 Measures 37-46

Measures 37-46 retum to the A section before the close of "Simbolo." While the

Ustener wiU perceive the A' section as closely related to the A section, there are a few

minor differences. Section 2.5 is divided into two areas, labeled by the section number

foUowed by numbers 1-2. Section 2.5.1 provides an analysis of mm. 37-42 and Section

2.5.2 discusses mm. 42 to the end. Example 2.29 labels the row orderings found in mm.

37-46.

Example 2.29

Section Ai of "Simbolo" - Measures 36-46

Bracketed sections indicate the row forms.

^Tt(P)

1^
staeeattsa.
pfmamolbsoat.

52
2.5.1 Measures 37-42

Measure 37 marks the beginning ofthe final section ofthe movement. This is

indicated in the score by a retum to the origmal tempo. There is also a return to the

original <A#1-B2> dyad in the left-hand Une. The next row form, RT,(P) = <4-9-0-7-5-

l-2-8-6-3-e-t>, begins in m. 38. The left hand plays the repeating dyad of eighth notes

carried over from the previous measure. The right-hand line consists of chords of

varying duration. The first chord {C3, E3, A3} can be understood as an A minor triad in

first inversion. This then moves to a G^' using the enharmonically spelled A# in the left-

hand part. These two chords divide the 5/8 measure directly in half but the latter chord is

tied over to the foUowing measure.

Measures 37-42 can be seen in Example 2.30. Measure 40 begins with a repeat of

thefirsttwo chords ofthe row form. This is audible because both chords in this measure

appear in both the same position and octave. Rather than appearing as two chords

equaUy dividing the 5/8 measure, the chords in question divide the measure into three

chords of equal lengtL The second G*' chord is tied across to the third chord, which

adds the notes Ab3 and D4. This chord is Ukewise carried across to the next measure.

The RTt(P) rowfromends in m. 42 with the {E b 3, G b 3} in therighthand Une,

continuing to be accompanied by the <A#1 -B ^ 2> dyad.

53
Example 2.30

Measures 37-42 of "Simbolo"

RT,(P) = <4-9-0-7-5-l-2-8-6-3-e-t> - Beginning in m. 38

.-
.
taecatiaa. i' F ^ ^ ^

2.5.2 Measures 42-end

Measure 42 introduces thefinalrow of "Simbolo," while completing the previous

ordering. The row, T,(P) = <t-e-3-6-8-2-l-5-7-0-9-4>, ties the movement together. It is

not only the retrograde ofthe previous row but it is also the same ordering as the opening

row form ofthe movement. The Ustener may well hear the similarity between the first

and last row orderings of "Simbolo." The same <A#1-B l;2> dyad appears in the left-

hand line and the right hand chords appear in both the same position and octave. The

only difference is in their lengths.

The {E b 3, G b2} in m. 42 is held for the duration of a 5/8 bar rather than a 3/4

bar. Each ofthe {D3, Ab2} chords are held the length of a 3/4 measure. The {Db3, F3,

G2} chord in m. 44 is held the duration of a 7/8 bar rather than that of a 3/4 measure.

ThefinalA minor chord ofthe movement sounds for two 7/8 measures, unUke the first

54
appearance in m. 5, which lasted a quarter note longer than a 5/8 bar. Example 2.31

shows the comparison in length between the first and final row form.

Example 2.31

Similarities Between mm. 1-5 and mm. 42-end

Measures 1-5
Quasi lento {J>=84) i>^;joat.

S ^ ^y^*T- ffi^
mPisiaccaiiaa. , simile moUo dim.
^m
> I I

If if if
M W^ W
p 5 tt3 #
i
jt3 ii ii i3 If^ F
senza "Sc^

Measures 42-end
P;ma motto aoat.

p l ^ l ^ l*5Jpp i P P ' '^^ '^ p

2.6 Conclusion

While "Simbolo" ends beautifuUy on paper with a retum ofthe original Tt(P)

row, the resolution is not so obvious to the Ustener. Because the sostenuto BACH line,

the 2e2 motive, and the descending chromatic line continue holding past the repeating

55
eighth note dyad, the audience may be left in a state of confusion. This lack of closure is

unsettling but the anticipation ofthe remaining movements leaves the audience on edge.

With this, DaUapiccola sets the stage for the next movement, "Accenti."

56
CHAPTER III

ANALYSIS OF MOVEMENT NO. 7: "ANDANTINO AMOROSO E

CONTRAPUNCTUS TERTIUS - RESOLUTIO"

Chapter III provides an analysis of no. 7, "Andantino Amoroso e Contrapunctus

Tertius." Section 3.1 gives a brief introductbn and an overview ofthe piece's row.

Section 3.2 describes the movement's form. Analyses of tonal references and serial

transformations are provided in Sections 3.3-3.4. Section 3.5 provides a conclusion.

3.1 Introduction

"Andantino Amoroso" is thefinalcontrapuntal movement ofthe Quademo

Musicale di Annalibera. Like the preceding movements, "Andantino Amoroso" has a

Ught, serene quality. The movement's possible introspective feel may leave some

listeners in a meditative state. Onefindsoneself dreaming or simply resting with carefree

thought. The dynamic level is very soft and the canonic entrances are smooth and gentle.

There is nothing abmpt or strident about this movement. It is simply relaxing and

soothing to the ear.

This movement also shares the similar warm and expressive quaUty established

by the prior contrapuntal movements. Additionally, the seventh movement is comparable

to "Contrapunctus Primus" and "Contrapunctus Secundus," as noted by the title, due to

The title is referred to as "Andantino AmOTOSo" for the remainder of Chapter III.

57
canonic texture that the three movements have in common. "Andantino Amoroso" is

particularly interesting because of its crab canon constmction. According to

Terry Barfoot, "nowhere is Dallapiccola's love and understanding of canonic devices

heard to better effect."^ The canon's subject first appears in red at the top ofthe

movement's page. It is then foUowed by the crab canon, entitled "Resolutio," which

copies the original subject verbatim and then repeats against the retrograde ofthe subject.

An example of this layout (in black and white) is seen in Example 3.1. In a crab canon,

"an entire passage of chords may be stated backwards untU the original chord reappears.

Retrogressive progressions bring new meaning to the original harmonic statement."

"Andantino Amoroso" may remind the listener of both "Simbolo" and

"Contrapunctus Primus." Movement seven begins with the same Tt(P) row

transformation as "Simbolo," but realized with different pitches. Even though several

movements have passed, the Ustener may well hear the similarity in soimd. "Andantino

Amoroso" is also auraUy similar to "Contrapunctus Primus" in that they are both very

slow and lyrical. The row realization begiimmg each ofthe two movements helps

2 Barfoot (1998:1).

^Persidietti(1961: 187).

58
Example 3.1

Edizioni Suvini Zerboni layout of no. 7 - "Andantino Amoroso e Contrapunctus Tertius'

N. 7 - ANDANTINO AMOROSO E CONTRAPUNCTUS .TERTIUS 11


(CANON CANOUZANS)

2?Yolta

RESOLUTIO
(J zSS).dolce; aempre parlante

m H m ^
^m
a
lis.

^ >i Uj' I ^ <j i


<9!|M*a /m/^ aU

WP

59
estabUsh this similarity as well since the first row in no. 3 is Te(P) and no. 7 begins with

Tt(P). This similarity is aurally discemable due to the fact that both rows appear in the

same register as each other. The latter begins exactly one semitone lower than the

previous.

3.2 Form

The movement begins with the subject, which repeats without any transformation

in m. 9. An entrance ofthe same subject in retrograde acconpanies this repetition, thus

creating a carwn cancrizans, or crab canon. Nevertheless, this compositional technique

creates a binary form; the A section consists ofthe canon's subject and the B section

consists ofthe subject performed against its retrograde. In regard to this movement,

Roman Vlad states, "this Canone retrogrado reconciles abstract formal strictness with a

power of communication and feeling that justifies the 'amoroso' ofthe description "'*

Section 3.3 provides an analysis ofthe A section, mm. 1-8. The B section begins

in m. 9 with a gradual change in tempo. Further discussed in Section 3.4, the B section is

marked by the entrance ofthe accompanying subject in retrograde. Example 3.2 shows

the form and row realizations of "Andantino Amoroso."

"Vlad (1957:48).

60
Example 3.2

Form of "Andantino Amoroso e Contrapunctus Tertius"

The braces indicate sections A and B and the brackets indicate the row forms.

Section A - Measures 1-8


Section B - Measures 9-end

RESOLUTIO
^ (J:58)Afogy aempreporionte

61
3.3 Measures 1-8

Section 3.3 provides a twelve-tone analysis ofthe A section of "Andantino

Amoroso." The row forms of Section A can be found in the first eight measures of

Example 3.2.

The movement begins with fluid lyrical lines composed of chords of unequal

length. Though composed entirely in 3/4 time, the movement never takes on a triple feel

due to the placement ofthe chords and their unequal lengths. The music is marked dolce;

sempre parlante. After hearing the movement, the listener may well be reminded of

someone speaking aloud or teUing a story. This is possibly due to the lack of a set

metrical pattern.

Section 3.3 is divided into two sections. Section 3.3.1 provides an analysis ofthe

row forms of mm. 1-8 and Section 3.3.2 discusses the tonal references.

3.3.1 Row Forms in Measures 1-8

The row ofthe movement is realized in thefirsttwo measures with a retum of

T,(P) = <t-e-3-6-8-2-l-5-7-0-9-4>, first heard in the beginning of no.l, "Simbolo." This

may not be auraUy discernible because the row form in "Andantino Amoroso" uses

different pitches. This row form can be seen in mm. 1-2 of Example 3.2.

Unlike earUer movements ofthe Quademo Musicale di Annalibera, many ofthe

row forms of this movement are realized in both therightand left hands. Both hands

reaUze the row at the beginning ofthe movement at the same time and later, separate

hands reaUze the two different rows. The second canonic entrance appears in the middle

62
ofthe second fuU measure, as seen in Example 3.2. This is an RT5(P) = <e-4-7-2-0-8-9-

3-l-t-6-5> realization. Half of the tones ofthe second entrance are composed with the

same pitches so the Ustener can auraUy discem the canonic feel even in a retrograded

transformation. The remaining six pes, {1, 3, 5, 6, t, e}, are composed within an octave

ofthe original row transformation.

Measure 5 marks the third row reaUzation, T3l(P) = <3-2-t-7-5-e-0-8-6-l-4-9>,

which can be seen in mm. 5-6 of Example 3.2. This row form shares invariant pes with

both the first and second row reaUzations, giving the T3l(P) realization aural similarities

with Tt(P) and RT5(P). Though these invariant pairs do not occur as pitches held together

at the same time, theoretically, the two row forms might weU sound similar. In

connection with the second realization ofthe row, pc 0 and pc 8 remain together in lx>th

transformations. Between Tt(P) and T3l(P), there are three invariants. Pes 4 and 9 stay

together, as do pes 5 and 7, and pes 6 and 8. There is likewise an invariant relationship

between the second row, RTsCP) and the third row T3l(P). This is between the pes 0 and

8. The invariant relationships among the three row forms are seen in Example 3.3.

Example 3.3

Invariant Relationship Between Tt(P) and T3l(P)


(first and third entrances ofthe movement)

T3l(P)= <3-2-t-|7-5l-^-0-j8-6|-l-K4-9:t-
X^P)= <t-e-3-[6^^^8P2-H5-7|-0fF^

63
Example 3.3 (continued)

Voice Exchanges Between T,(P) and T3l(P)

T3l(P)^

T.(P) = <t-e

Invariant Relationship Between RT5(P) and T3l(P)


(second and third entrances ofthe movement)

T3l(P) = <3-2-t-7-5-e-0-8-6-l-4-9>

RT5(P) = < e - 4 - 7 - 2 - 0-8 - 9 - 3 - l - t - 6 - 5 >

The fourth entrance begins in m. 6 with row form, RTel(P) = <5-0-9-2-4-8-7-l-3-

6-t-e>. This realization can be seen in the aforementioned Example 3.2. As seen in

Example 3.4, the RTel(P) realization has three invariant pairs with Tt(P). The pairs which

remain together are {0,9}, {3,6}, and {t, e}. RTJ(P) also shares invariant pc pairs 1 and

3, and 6 and t with RT5l(P). There are no invariants between RTel(P) and T3l(P). These

invariant pairs provide aural similarities among the canonic entrances.

64
Example 3.4

Invariant Relationship Between Tt(P) and RTel(P)


(first and fourth entrances of movement)

RTeI(P)= <5-|0-9-|2-4-8-7-l-|3-6|-t-e|>

< t
EH3 - 6 - 8 - 2 - 1 - 5 - 7 - 0 - 9 - - 4 >
Invariant Relationship Between RT5(P) and RTel(P)
(second and fourth entrances of movement)

RTel(P) = <5-0-9-2-4-8-7 l-3--6-t-e>

RT5(P)= <e-4-7-2-0-8-943-l4t-6^5>

3.3.2 Tonal References in Measures 1-8

The Quademo Musicale di Annalibera exhibits tonal references in several ways,

and the "Andantino Amoroso" movement is no different. When listening to the

movement for thefirsttime, the listener may well hear very consonant harmonies. These

harmonies are intervals of perfect fifths, major and minor thirds, and perfect fourths.

To begin, the row of "Andantino Amoroso" exhibits tonal references in its

ordering. The order, predetermined by earUer movements, is seen in thefirsttwo

measures of this movement. As illustrated in Example 3.5, the first four pes can be heard

as a BM^ chord, while the second, third, and fourth pes ofthe row can be heard as a B

major triad. The row also outlines an A minor triad with its last three pes and an Am^

chord with its last four pes.

65
Example 3.5

Measures 1 - 2 of "Andantino Amoroso e Contrapunctus Tertius"

BM7 Am7
r \ I \
Bracketed section shows the row Tt(P) = t-e-3-6-8-2-1-5- 7-0-9- 4
\ A I \ I
BM D/DbM Am
RESOLUTIO
(J=58) dolce; aempre parlante

If uiHXE mm
^ i <^i ttj'

Tonal references can also be seen by way of triads and seventh chords voiced in

close position. While the "Andantino Amoroso" movement does not exhibit many

complete chords, there are many harmonic intervals of major and minor thirds as well as

perfect fourths and fifths. For example, in the second measure of "Andantino Amoroso,"

the harmonic interval of a perfect fifth occurs three times in a row. In the foUowing

measure, the fifth is then inverted to a perfect fourth interval, which is foUowed by a

major third interval and a diminished fifth. These tonal references can be seen in

Example 3.6.

66
Example 3.6

Measures 2-3 of "Andantino Amoroso e Contrapunctus Tertius'

Note the Perfect Fifth Intervals in Measure 2.

Intervals: P5 P5 P5 P4 M3 5

The Quademo Musicale di Annalibera also exhibits tonal references through local

tonic-dominant relationships, which are prevalent throughout the "Andantino Amoroso"

movement. These local tonal progressions can be seen in Example 3.7. Measure 5

begins with an E bM' (or E bM* including the F6) on beat one, the chord is stacked in

thirds, save for the G5, leaving the Ustener with no doubt of its tertian quality. This

aforementioned EbM' (or EbM^)figurein m. 5 then moves to the "tonic" Ab triad with

a missing fifth on the foUowing downbeat. Only the D \\ prevents onefromcalling the

E b chord "dominant." Though there is a B Ii 4 between the two chords, this "sol-do" or

"fifth" motion is easy to hear because the chords appear in the same register and in

relatively close position.

67
Example 3.7

Measure 5 of "Andantino Amoroso e Contrapunctus Tertius'

Eb"^' (Bk) Ab
Ab Major: V^'' I

*This Eb"^^chord can also he heard as EbM^.

3.4 Measures 9-end

Section 3.4 provides an analysis ofthe B section of "Andantino Amoroso." The

row forms of Section B can be seen in the aforementioned Example 3.2. Section 3.4 is

likewise divided into two sections. Section 3.4.1 discusses the row forms found in mm.

9-17 and Section 3.4.2 provides an analysis ofthe tonal references.

3.4.1 Row Forms in Measures 9-end

The pickup dyad to m. 9 marks the fifth canonic entrance and also the beginning

ofthe B sectiorL This division ofthe movement is clearly audible because the original

68
canonic entnince returns in its exact form as seen earUer in m. 1. Returning with identical

pitches and rhythm, this Tt(P) row form is joined by a left-hand accompaniment.

Thefifthentrance, though identical to the first even in p-space, is played by the

right-hand only, rather than by both hands together. This is also tme ofthe remaining

threeright-handentrances. RT5(P), TsKP), and RTel(P) aU retum before the end,

identical to thefiirsthalf, even in p-space. The only exception to this is in thefirstchord

of T3l(P) transformation, where pes 2, 3, and t occur in the left-hand. The last chord of

the transformation RTJ(P) is notated on an additional staff but the entire chord is stUl

played by the right hand. Theright-handrow reaUzations of Section B can be seen in the

aforementioned Example 3.2.

The accompanying rows that appear in the second half of the movement are the

first four rows: T,(P), RT5(P), T3l(P) and RTel(P), transformed by retrograde and ordered

in retrograde. Therefore, thefinalfour rows ofthe movement, begiiming in m. 9, are

TeI(P), RT3l(P), T5(P), and RT,(P), respectively.

The first accon^anying transformatron, Tel(P) = <e-t-6-3-l-7-8-4-2-9-0-5>, is

tocated on the second and third staves of m. 9. This marks the fourth ofthe canonic

entrances in retrograde.

The second accon^janying transformation occurs in m. 11 as RT3l(P) = <9-4-l -6-

8-0-e-5-7-t-2-3>. This row form, which is the retrograde ofthe previous T3l(P) row

form, is played against an RTsCP) row form in the top staff

69
Measure 13 marks the third accompaniment entrance as Ts(P) = <5-6-t-1-3-9-8-0-

2-7-4-e>. This entrance presents the RT5(P) row form first seen in the second half of m.

2 in retrograde.

The final accompanying transformation, which serves as the last row ofthe

movement, is RT,(P) = <4-9-0-7-5-l-2-8-6-3-e-t>. This is auraUy perceivable because it

is a retrograde transformation ofthe original row, Tt(P) = <t-e-3-6-8-2-l-5-7-0-9-4>,

appearing as the same pitches and rhythm. This RTK;P) row form, which begins in the

second half of m. 15, accompanies thefinalRTel(P) row form in the uppermost staff.

These final four accompanying row transformations can be seen in the left-hand part of

Section B in the aforementioned Example 3.2.

While a twelve-tone row is always combinatorial with its own retrograde, one

interesting observation in regard to "Andantino Amoroso" is that this relationship is seen

between thefirstandfinalrow forms ofthe movement due to its crab canon constmction.

Because thefinaltransformation ofthe movement is a retrograde ofthe first row without

transposition, the hexachords <t-e-3-6-8-2> and <l-5-7-0-9-4> can combine with their

complements to complete the aggregate. This is seen in Example 3.8.

Example 3.8

Retrograde-Combinatorial Relationships Between Tt(P) and RTt(P)

T.(P)-

RTt(P)

70
This is likewise true ofthe second and third row forms ofthe canonic entrance

beginning in the uppermost staff of m. 9. This can be seen in Example 3.9. The row

form RT5(P) begins in m. 10 and is foUowed by the row form T3l(P). These rows are

accompanied by the row forms RT3l(P) and T5(P), which are the second and third row

forms ofthe third canonic entrance. Because the RT5(P)rowform is played against

RT3l(P) in mm. 10-12 and the T3l(P) row form is played against TsCP) in mm. 13-15, the

retrograde-combinatorial relationship is auraUy present.

Example 3.9

Retrograde-Combinatorial Relationships

Between Row Forms RTsCP) and TsCP) and Row Forms T3l(P) and RT3ICP)

71
Example 3.9 (continued)

RT5(P) <e-4-7-2-0-8 -9-3-l-t-6-5: >

T5(P) = <5-6-t-l-3-9 -8-0-2-7-4-e>

TJKP) = <3-4-8-e-l-7 -6-t-0-5-2-9>

RT3ICP) <9-2-5-0-t-6 -7-l-e-8-4-3>

There are also several examples of invariance between the second and third

canonic entrances. The aforementioned TJCP) transformation, occurring in m. 9, is

auraUy similar to its accompanying row form, TtCP), due to the invariant pes {e,t}, {3,6},

and {0,9}. This is again seen in thefinalentrances ofthe movement between the row

forms RTJCP) and RT,CP)- The row forms RT3ICP) and RT5CP) as weU as their

retrograded counterparts, TsCP) and T3l(P) share the invariant pes {6,t}. The use ofthe

same pes causes these invariant pairs to be more perceptible to the ear. These invariant

relationships are seen in Example 3.10.

Example 3.10

Invariant Relationship Between Second and Third Canonic Entrances

TeI(P) < e-t 6 - 3 - 1 - 7 - 8 - 4 - 2 - - '9 - 0 - 5 >


Tt(P) = < t-e -3-6-8-2-1-5-7-0 9-4>

72
Example 3.10 (continued)

RT3l(P)= <9-2-5-0-fr^7-l-e-8-4-3>

RT5(P)= <e-4-7-2-0-8-9-3-1-it-6l-5>

TsCP)= <5-i-6-t-II-3-9-8-0-2-7-4-e>

T3l(P)= <3-4-8-e-l-7-J6-t-|-0-5-2-9>

< t-e- 3 - 6 - 8 - 2 - 1 - 5 - 7 -0-9-4>

TJ(P) = < e-t - 6 - 3 1-7-8-4-2-9-0 5>

Though the layout of "Andantino Amoroso" has the potential to act as a never-

ending movement, DaUapiccola chooses to end it after three complete expositions ofthe

subject. The first entrance appears in m. 1 while the third entrance appears in retrograde

against the second entrance in m. 9.

3.4.2 Tonal References in Measures 9-end

Many ofthe tonal references exhibited in thefirsthalf of "Andantino Amoroso"

are again present due to the form ofthe movement. As previously mentioned, tonal

references are exhibited in three ways: throughroworder, through triads and seventh

chords voiced in close position, and through local tonic-dominant relationships.

The order ofthe row was discussed in Section 3.3b. An example of tonal

references exhibited by way of triads and seventh chords voiced in close position occurs

73
in m. 9 of "Andantino Amoroso." This can be seen in Example 3.11. The second eighth

note chord of m. 9 exhibits an E b minor triad in root position Though the chord appears

on paper asan{Eb4, Gb4} dyad, the Bb5 ofthe previous dyad is auraUy perceivable and

carries over to give the foUowing chord the sound of an E b minor triad. This same idea

is seen in the final eighth note chord ofthe measure. The {Db4, F4} dyad may well be

perceived as a D b major triad in root position because thefifthofthe chord is carried

overfromthe previous dyad. This is easy to hear due to thefeetthat the chord is stacked

in thirds and played in close position

Example 3.11

Measure 9 of "Andantino Amoroso e Contr^unctus Tertius'

Ebm Db

74
The foUowing measure likewise exhibits triads and seventh chords played in close

position. Example 3.12 shows three examples of triads and seventh chords found in m.

10. The measure begins with a C minor triad stacked in thirds and played in close

position. This triad is foUowed by an A'^'^^ chord, which is then foUowed by an E^'^ major

triad. The aforementioned E^'^ major triad originally appears without the third ofthe

chord in the right-hand Une, but is later joined by G#4 in the left hand. All of these

chords are quite easy to hear, for they all occur in close position. Many of these tonal

references are Ukewise exhibited in local harmonic progressions as well

Example 3.12

Measure 10 of "Andantino Amoroso e Contrapunctus Tertius"

cggerzss.

Cm-A^'^-E^'^

3.5 Conclusion

The Quaderno Musicale di Annalibera, though a twelve-tone composition,

contains many tonal references. While a Ustener is able to discem arowor its

75
transformations after several hearings, one must put forth effort to really detect these

rows. The beauty, serenity, cahnness, and placidity disguise the compositional technique.

"Andantino Amoroso" imparts just these qualities. These qualities unfold through

canons, lyrical melodies, and expressive writing. The row, which serves as a basis of aU

eleven movements, aUows forfleetingmoments of tonaUty. Through his use of tonal

references, DaUapiccola is able to manipulate the row to provide the listener with a sound

that, at times, seems both tonal and atonal.

76
CHAPTER IV

CONCLUSION

While theorists and musicologists agree that Luigi Dallapiccola was influenced by

members ofthe Second Viennese School these same scholars are aware that his music

does not in fact belong to any one particular style of composition. DaUapiccola may well

have been influenced by the music of Schoenberg and the Viennese school but at the

same time, his conqx)sitions contrast with other twelve-tone works. Because he does not

fit into any one specific category, the music of DaUapiccola has often been left

untouched. It is rarely played, especiaUy in Italy, and it has yet to be thoroughly

researched. According to Brian Alegant,

"Theorists agree that Luigi Dallapiccola is one ofthe most accomplished


12-tone composers. His output con:q)rises a variety of frequently
performed and highly respected works, including ballets, choral music,
concertl film scores, piano music, song cycles, operas, and chamber
pieces. In addition, he enjoyed intemational fame as a lecturer, teacher,
author, and member ofthe national academies of arts in the U.S., France,
and England. And yet, little has been written about Dallapiccola's music
in general and virtuaUy nothing has been said about his use of harmony.
The literature consists of a handful of studies that focus primarily on his
rh3^hmic or melodic organization and one close reading of one movement
from an early work."'

This thesis has argued that DaUapiccola's only twelve-tone composition for piano,

Quademo Musicale di Annalibera, can be analyzed using both serial and tonal

approaches. These analyses are shown in the study of two movementsfromthe

Quademo, no. 1, "Simbolo" and no. 7, "Andantmo Amoroso e Contrapunctus Tertius."

Grashoff(1999).

77
The Quaderno Musicale di Annalibera, though twelve-tone in composition,

exhibits many tonal references. These references are Ulustrated in this thesis in three

ways. First, Dallapiccola presents triads and seventh chords within the ordering of row.

Second, chordal transformations are presented in close position to encourage the listener

to perceive them as triads or seventh chords in the reaUzation ofthe row. Third, tonal

references are also present in the local tonic-dominant relationships, which are prevalent

throughout movements nos. 1 and 7 as weU as the entire composition.

While a Ustener may generaUy be able to discem a row or its transformations after

several hearings, one must put forth effort to reaUy detect these rows. DaUapiccola's

compositional technique adds beauty, serenity, and placidity to his work and the

Quademo Musicale di Annalibera imparts just this. These qualities unfold in the present

composition through canons, lyrical melodies, and expressive writing.

Theorists and musicologists examine the music of Dallapiccola, as weU as other

members of the Second Viennese School to study the compositionalframeworkot rows

and transformations. Understanding thisfi-ameworkof a composition can lead to a

greater appreciation for the musician and non-musician alike. The twelve-tone row,

which serves as a basis of all eleven movements ofthe composition, aUows for fleeting

moments of tonality. Through his effective use of tonal references, DaUapiccola is able

to manipulate therowto provide the Ustener with a sound that, at times, seems ahemately

tonal and atonal

78
BIBLIOGRAPHY

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79
Hermann, Richard. 1997. "Reflexive Postmodem Anthropology Meets Musical
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80
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81
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