Milton Babbit
Milton Babbit
https://doi.org/10.1093/gmo/9781561592630.article.A2256107
Published in print: 26 November 2013
Published online: 31 January 2014
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1. Life.
Brought up in Jackson, Mississippi, he started playing the violin at the age of four and several years
later also studied clarinet and saxophone. He graduated from high school in 1931, having already
demonstrated considerable skills in jazz ensemble performance and the composition of popular songs.
His father’s professional involvement with mathematics (as an actuary) was influential in shaping
Babbitt’s intellectual environment. In 1931 Babbitt entered the University of Pennsylvania with the
intention of becoming a mathematician, but he soon transferred to New York University, concentrating
on music under marion Bauer and philip James . He received the BA in music in 1935. As a student and
during the ensuing years, Babbitt immersed himself in the intellectual milieu of New York,
encountering influential philosophers such as Sidney Hook and James Wheelright, developing a life-
long engagement with analytical philosophy, and reading widely in rapidly emerging and sometimes
short-lived journals such as Symposium and Politics. His early attraction to the music of Varèse and
Stravinsky soon gave way to an absorption in that of Schoenberg, Alban Berg, and Anton Webern—
particularly significant at a time when 12-tone music was unknown to many and viewed with
skepticism by others.
After graduation Babbitt studied privately with roger Sessions , wrote criticism for the Musical Leader,
and then enrolled for graduate work at Princeton University, where he continued his association with
Sessions. In 1938, aged 22, he joined the Princeton music faculty and in 1942 received one of
Princeton’s first MFAs in music. His Composition for String Orchestra, a straightforward 12-tone work,
was completed in 1940.
During World War II Babbitt divided his time between Washington, DC, where he was engaged in
mathematical research, and Princeton, as a member of the mathematics faculty (1943–5). Musically,
these were years of thought and discovery, rather than of actual composition; they resulted in 1946 in
a highly technical work entitled The Function of Set Structure in the Twelve-Tone System, which was
the first formal and systematic investigation of Schoenberg’s compositional method. Babbitt submitted
this paper for the degree of PhD. Although lauded by mathematics professor John Tukey, the
dissertation was rejected by the music department who, at that time, only offered higher degrees in
historical musicology. Between 1946 and 1948, shuttling between Jackson and New York, he once
again directed his energies to composition, writing some film scores and an unsuccessful Broadway
musical.
In 1948 Babbitt rejoined the music faculty at Princeton, eventually succeeding Roger Sessions as the
William Shubael Conant Professor of Music in 1965; in 1973 he became a member of the composition
faculty of the Juilliard School. He also taught at the Salzburg Seminar in American Studies, the
Berkshire Music Center, the New England Conservatory of Music, and the summer courses in new
music at Darmstadt, Germany. In 1992, 46 years after Princeton’s music department rejected Babbitt’s
dissertation, his colleagues Paul Lansky and Claudio Spies resubmitted the work on his behalf. On
review the dissertation was accepted. The Dean of Princeton’s graduate school at the time, Theodore
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Throughout his career, he was actively involved in contemporary music organizations, including the
ISCM (he was president of the American section, 1951–2), the American Music Center, Perspectives of
New Music (as a member of its editorial board), the Columbia-Princeton Electronic Music Center (from
1985), and the BMI Student Composer Awards (he was the chairman from 1985 until his death in
2011). Articles, reviews, and interviews by him have appeared in many music publications; he traveled
widely, speaking on issues of current musical thought. His 1983 Madison lectures are published under
the title Words about Music. Babbitt was a remarkably successful lecturer; perceptive and adept at
logical extemporization, he continually stimulated and provoked his audiences. He was also an
inveterate follower of popular sports, a raconteur and punster, and an omnivorous reader.
In a controversial article published in High Fidelity magazine in 1958, Babbitt claimed that serious
music required an educated audience. He urged the informed musician to “re-examine and probe the
very foundations of his art.” Babbitt was displeased with the published title of the article, “Who Cares
if You Listen?” which had been added by the magazine editor without his agreement (the original title
was “The Composer as Specialist”). “Now obviously,” he told the Princeton Alumni Weekly in 2006, “I
care very deeply if you listen. From a purely practical point of view, if nobody listens and nobody cares,
you’re not going to be writing music for very long. But I care how you listen.”
During his lifetime Babbitt was revered as an artistic mentor whose students produced music and
scholarly work that spanned the music discipline from the avant-garde to Broadway musicals. He loved
popular music and had an encyclopedic knowledge of Tin Pan Alley songs. In a 2001 interview with
NewMusicBox he commented: “If you know anybody who knows more popular music of the ’20s or ’30s
than I do, I want to know who it is.” Babbitt’s students, many of whom called him “Uncle Milton,”
included mario Davidovsky, paul Lansky, john c. Eaton , and stephen Sondheim . His work in serialism
influenced major European composers such as Luigi Nono, Pierre Boulez, and Karlheinz Stockhausen.
2. Works.
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Babbitt revealed and formalized many of the most salient aspects of 12-tone compositional technique
in several important essays. In “Some Aspects of Twelve-Tone Composition” (1955), “Twelve-Tone
Invariants as Compositional Determinants” (1960), and “Set Structure as a Compositional
Determinant” (1961), he systematically investigated the compositional potential of the 12 pitch class
set, introducing such terms (derived from mathematics) as “source set,” “combinatoriality,”
“aggregate,” “secondary set,” and “derived set.” These terms facilitate the classification of the various
types of pitch class set and contribute to the description of diverse procedures for the compositional
projection of such sets. A secondary set, for example, results when a “new” set of 12 pitch classes
emerges from the linear linking of segments of two forms of a 12-tone series, as shown in Table 1.
Similarly, an “aggregate can be thought of as a simultaneous statement of . . . parts [of a 12-tone
set] . . . it is not a set, inasmuch as it is not totally ordered, because only the elements within the
component parts are ordered, but not the relationship between or among the parts
themselves” (Babbitt, 1955, p.57). 12-tone sets that yield such aggregate and secondary set formations
are called “combinatorial.” (Further distinctions between various types of combinatorial sets—that is,
semi- and all-combinatorial sets, the first-, second-, third-, and fourth-order all-combinatoriality—are
discussed in the same essay.) The nomenclature that Babbitt introduced in his prose writings has
become widely adopted and is the basis for much theoretical work and composition. Moreover, in his
compositions he demonstrated the efficacy of his theories. Thus Babbitt extended the notion of
compositional creativity to encompass the development of musical systems themselves, as well as
specific compositional achievements within such systems. He also persistently explored the
relationships between set transformation and derivation procedures, and virtually all other aspects of
musical structure, such as grouping and form, large- and small-scale rhythm, texture and register,
instrumentation, and timbre.
Ex.1
In “Twelve-Tone Rhythmic Structure and the Electronic Medium” (1962) Babbitt demonstrates a
number of methods for interpreting the structures of pitch class sets in the temporal domain. By
positing an analogy between the octave (in pitch structure) and the bar (in rhythmic and metrical
structure), and by dividing the bar into 12 equal units (each of which can be musically articulated by
individual points of attack), Babbitt provides a basis for mapping pitch class sets onto “time-point
sets.” Thus an uninterpreted set of integers (for example, 0, 11, 6, 7, 5, 1, 10, 2, 9, 3, 4, 8) may be
interpreted as a specific instance of a pitch class set (ex.1 ) or as a specific instance of a time-point set
(ex.2 ). (The time-point of a particular point of attack is a measure of its position within the bar.) In ex.2
the metrical unit is a demisemiquaver, a 12th of the whole bar; time-point 0 therefore occurs on the
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An earlier example of Babbitt’s approach may be seen in his Three Compositions for Piano (1947), one
of his first consistent attempts to extend Schoenbergian 12-tone procedures. The surface of the music
is, in some respects, reminiscent of Schoenberg: registrally dispersed lines alternate with thickly
clustered chordal attacks (in the framework of a quasi-ternary structure), yet the absence of expressive
indications and the reliance on metronome markings would seem to reveal a Stravinskian concern for a
clear, undistracted projection of the temporal domain. Some of the innovative aspects of the work
reside in the conjunction of the structuring of pitch and other domains, resulting in an early example of
“totally serialized” music. Points of articulation made by the superimposition of lines and the number
of consecutive attacks within a contrapuntal line are determined by a set (whose prime form is 5, 1, 4,
2). In the first four bars of the work, this set is presented twice in its prime form (P), once in
retrograde (R), and once in retrograde inversion (RI; ex.5 ). There is also a correspondence between
dynamics and pitch set forms.
Babbitt’s Composition for Four Instruments and Composition for Twelve Instruments (both of which
were written in 1948) go a step further towards a structuring of rhythm isomorphic with 12-tone pitch
structuring. In the 12-instrument work a set of 12 durations emerges and operates throughout. It is
transformed by “classical” serial operations: transposition (addition of a constant to each duration
number of the set), inversion (the complementation of the duration numbers), retrogression (the
complementation of the order numbers of the set) and retrograde inversion. The ending of each of the
three major sections of the work is articulated by the completion of a rhythmic set. The presentation of
the rhythmic sets is often complex—various instruments characteristically participate in the
presentation of a single rhythmic set, and more than one rhythmic set may be presented
simultaneously. Nonetheless, the surface characteristics of the work delineate a simple process.
Beginning with sparsely textured single events (which can be considered an extension of Webern’s
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Babbitt was profoundly involved in the clarification and extension of the systematic aspects of 12-tone
composition, but his music is in no sense rigidly determined by precompositional schemes. Within the
constraints of serial techniques, he used a great range of expressive possibilities and contextually
varied structures. A work such as Partitions (1957) demonstrates numerous precompositional
constraints (such as the projection of an all-interval set, a polyphonic texture in which distinct
transformations of 12-tone pitch sets are unfolded in each line, and aggregates formed by various
vertical partitionings of segments of these lines). In the first four bars a hexachord is presented in each
of four different registers (ex.6 ). The hexachords in the lower two registers (E♭ A♭ F♯ F C♯ E; C G A B♭
D B) are complementary and are, respectively, the retrogrades of the hexachords presented in the
higher two registers. There are 49 different ways in which the pitches presented in these hexachords
might be partitioned to form aggregates. (For example, each hexachord might be divided 3 + 3; or the
hexachords might be divided alternately 2 + 4 and 4 + 2, etc.) The actual partitioning of pitches (1 + 5
in the highest register, 3 + 3 in the next highest register, 5 + 1 in the next register, and 3 + 3 in the
lowest register) contributes to a rich pattern of interval and pitch associations and echoes. Such
partitioning establishes a specific rate of movement through the pitch class sets in each register and
also suggests possibilities for hierarchical distinctions among the pitch classes that constitute the sets
involved. Each registral line has its own rhythm of movement through its pitch class sets, and these
characteristic rhythms are varied contextually throughout the work.
The commitment to systematic precompositional planning is maintained in works with dramatic, poetic
or other associative aspects. In Du (1951), a song cycle for soprano and piano (which represented the
United States at the 1953 ISCM Festival), there is continual interplay between the text and the vocal
and piano lines. Phoneme, syllable, word, and line are carefully contoured, subtly and imaginatively set
to music: the pitch, durational, dynamic, and registral schemata, themselves transformed from poem to
poem, are allied with the verbal elements and indeed help to project the many delicate nuances of the
text. These lyrical, imagist tendencies were most fully realized in Philomel (1964) but are also evident
in All Set (1957), for small jazz ensemble, with its conjunction of 12-tone structure (based on an all-
combinatorial set) and what Babbitt calls “jazz-like properties . . . the use of percussion, the Chicago
jazz-like juxtapositions of solos and ensembles recalling certain characteristics of group
improvisation.”
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Babbitt was attracted by the convenience of composing for electronic means, explaining in 1969 to the
New York Times that “the medium provides a kind of full satisfaction for the composer. I love going to
the studio with my work in my head, realizing it while I am there and walking out with the tape under
my arm. I can then send it anywhere in the world, knowing exactly how it will sound.” Composition for
Synthesizer (1961) was Babbitt’s first totally synthesized work. It was followed soon after by Vision and
Prayer for soprano and synthesizer (1961) and Ensembles for Synthesizer (1962–4). His basic
compositional attitudes and approaches underwent little change with the new resource; rather, with
the availability and flexibility of the synthesizer’s programming control they were now realizable to a
degree of precision previously unattainable in live performances of his music. Babbitt’s interest in
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Though the lucidity of his conceptual world finally became manifest under the ideal performance
conditions provided by sound synthesis, Babbitt nevertheless retained his interest in live performance,
and carried over to it several structural procedures from the electronic medium. Perhaps the most
appealing work combining live performance with tape is Philomel, written in conjunction with the poet
John Hollander for the soprano Bethany Beardslee. It is based on Ovid’s interpretation of the Greek
legend of Philomela, the ravished, speechless maiden who is transformed into a nightingale. New ways
of combining musical and verbal expressiveness were devised by composer and poet: music is as
articulate as language; language (Philomela’s thoughts) is transformed into music (the nightingale’s
song). The work is an almost inexhaustible repertory of speech-song similitudes and differentiations,
and resonant word-music puns (unrealizable without the resources of the synthesizer). Babbitt stopped
writing music with electronic components after the Columbia-Princeton studio was vandalized in the
late 1970s.
A Solo Requiem for soprano and two pianos (1976–7) is Babbitt’s most extended composition for voice.
This magisterial work (a memorial to the composer Godfrey Winham) incorporates a wide range of
vocal techniques and reveals the extraordinary range and sensitivity of Babbitt’s response to a variety
of dramatic and lyrical poetic texts. In My Complements to Roger, one of several short works of the
late 1970s and early 1980s for solo piano, Babbitt succinctly demonstrated a number of methods for
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Babbitt continued in the 1980s to expand the 12-tone universe. He explored the premise of the
“superarray,” the combination of individual arrays to form larger and more intricate 12-tone
structures. These very large arrays of pitch class structure have inspired ever more inventive musical
textures. For example, in Transfigured Notes for string orchestra (1986), Babbitt divided each of four
instrumental groups (1st and 2nd violins, violas and cellos) into two sub-groups and then distinguished
between three separate registers in each group in order to articulate 24 distinct areas. These
instrumental groupings are then recombined to project the structural counterpoint which comprises
one interpretation of the abstract superarray.
The world that Babbitt’s music evokes is not simple. He once said “I want a piece of music to be
literally as much as possible.” While some critics felt that such an attitude has resulted in a body of
inaccessible music, others praised his pioneering approach, involving as it has a systematic and
comprehensive exploration of the 12-tone compositional universe. Babbitt liked to merge serious music
with light-hearted and humorous titles, such as “The Joy of More Sextets,” “Four Play,” and “Sheer
Pluck.” His emphasis on the relationship between practice and theory, his insistence on the composer’s
assumption of responsibility for every musical event in a work, and his reinterpretation of the
constituent elements of the Western musical tradition have had a vital influence on the thinking and
music of numerous younger composers.
Works
Instrumental
Orchestral
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Chamber
Str Trio, 1941, withdrawn; Composition for 4 Insts, fl, cl, vn, vc, 1948
Composition for 12 Insts, wind qnt, tpt, hp, cel, str trio, db, 1948, rev. 1954
Ww Qt, 1953
All Set, a sax, t sax, tpt, trbn, db, pf, vib, perc, 1957
Paraphrases, fl, ob + eng hn, cl, b cl, bn, hn, tpt, trbn, tuba, pf, 1979
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The Crowded Air, fl, ob, cl, bn, pf, mar, gui, vn, va, vc, db, 1988
Septet, but Equal, 2 cl, cl + b cl, vn, va, vc, pf, 1992
Pf Qt, 1995
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Piano solo
Duet, 1956
Partitions, 1957
Post-Partitions, 1966
Tableaux, 1972
Lagniappe, 1985
Overtime, 1987
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Vocal
Dramatic
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Music for the Mass I, SATB, 1940, withdrawn; Music for the Mass II, SATB, 1941,
withdrawn; 4 Canons, female chorus, 1968 [after Schoenberg]
Solo vocal
Three Theatrical Songs, 1v, pf, 1946 [from musical Fabulous Voyage]
Vision and Prayer, S, pf, 1954, unpubd, unperf.; 2 Sonnets (G.M. Hopkins), Bar, cl, va,
vc, 1955
Composition for Tenor and 6 Insts, T, fl, ob, vn, va, vc, hpd, 1960
The Head of the Bed (J. Hollander), S, fl, cl, vn, vc, 1982
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Principal publishers
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The Function of Set Structure in the Twelve-Tone System (unpubd paper, 1946; diss., Princeton
U., 1992)
“Who Cares if You Listen?,” High Fidelity, viii/2 (1958), 38–40; repr. in The American Composer
Speaks, ed. G. Chase (Baton Rouge, LA, 1966), 234–44; repr. in Contemporary Composers on
Contemporary Music, ed. E. Schwartz and B. Childs (New York, 1967), 243–50
“Electronic Music: the Revolution in Sound,” Columbia University Magazine (1960), spr., 4–8;
rev. as “The Revolution in Sound: Electronic Music,” MJ, xviii/7 (1965), 34–7
“Past and Present Concepts of the Nature and Limits of Music,” IMSCR VIII: New York 1961,
398–403; repr. in Perspectives on Contemporary Music Theory, ed. B. Boretz and E.T. Cone (New
York, 1972), 3–9
“Twelve-Tone Rhythmic Structure and the Electronic Medium,” PNM, i/1 (1962), 49–79; repr. in
Perspectives on Contemporary Music Theory, ed. B. Boretz and E.T. Cone (New York, 1972),
148–79
“Remarks on the Recent Stravinsky,” PNM, ii/2 (1963–4), 35–55; repr. in Perspectives on
Schoenberg and Stravinsky, ed. B. Boretz and E.T. Cone (Princeton, NJ, 1968, 2/1972/R), 165–85
“The Synthesis, Perception and Specification of Musical Time,” JIFMC, xvi (1964), 92–5
“The Structure and Functions of Music Theory I,” College Music Symposium, v (1965), 49–60;
repr. in Perspectives on Contemporary Music Theory, ed. B. Boretz and E.T. Cone (New York,
1972), 10–21
“Edgard Varèse: a Few Observations of his Music,” PNM, iv/2 (1965–6), 14–22; repr. in
Perspectives on American Composers, ed. B. Boretz and E.T. Cone (New York, 1971), 40–48
“Three Essays on Schoenberg,” Perspectives on Schoenberg and Stravinsky, ed. B. Boretz and
E.T. Cone (Princeton, NJ, 1968, 2/1972/R), 47–60
“Relata I,” The Orchestral Composer’s Point of View, ed. R.S. Hines (Norman, OK, 1970), 11–38;
repr. as “On Relata I,” PNM, ix/1 (1970–71), 1–22
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“The Next Thirty Years,” High Fidelity/Musical America, xxxi/4 (1981), 51–66
Words about Music, ed. S. Dembski and J.N. Straus (Madison, WI, 1987)
“On Having Been and Still Being an American Composer,” PNM, xxvii/1 (1989), 106–12
with others: “Brave New Worlds: Leading Composers Offer their Anniversary Predications and
Speculations,” MT, cxxxv (1994), 330–37
S. Peles: and others, eds.: The Collected Essays of Milton Babbitt (Princeton, 2003)
Bibliography
CBY 1962; VintonD (B. Boretz)
R. French: “Current Chronicle: New York,” MQ, l (1964), 382–8 [on Philomel]
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316–22
R. Kostelanetz: “The Two Extremes of Avant-Garde Music,” New York Times Magazine (15 Jan
1967)
S. Arnold and G. Hair: “Champion of Serialism,” Music and Musicians, xvii/10 (1969), 46–7
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NJ, 1969, 3/1988), 252–9
P. Lieberson, E. Lundborg, and J. Peel: “Conversation with Milton Babbitt,” Contemporary Music
Newsletter, viii (1974), no.1, 2–3; no.2, 2–3; no.3, 2–4
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B. Benward: “The Widow’s Lament in Springtime,” Music in Theory and Practice, ii (Dubuque,
IA, 1977, 2/1981), 483–96
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, xxvi/1 (1988), 144–207
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(1993), 161–92
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PNM, xxxv/2 (summer 1997) [special issue, “A Symposium in Honor of Milton Babbitt”]
F.J. Oteri: “Milton Babbitt: a Discussion in 12 Parts,” NewMusicBox (1 Dec 2001) <http://
www.newmusicbox.org/article.nmbx?id=1545 <http://www.newmusicbox.org/article.nmbx?
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Obituaries, New York Times (29 Jan 2011), Washington Post (30 Jan 2011), Guardian (30 Jan
2011), Gramophone (2 Feb 2011), Los Angeles Times (2 Feb 2011)
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