List of dodecaphonic and serial compositions explained
This is an incomplete list of musical pieces composed in the twelve-tone technique and pieces that use serialism.
List of musical pieces composed in the twelve-tone technique
- Second Viennese School
- Alban Berg
- Kammerkonzert, for piano, violin, and winds (1923–25)
- Lyrische Suite, for string quartet (1925/26)
- Der Wein, concert aria for soprano and orchestra after a poem by Charles Baudelaire (1929)
- Lulu, opera after Die Büchse der Pandora by Frank Wedekind (1928–35)
- Violinkonzert, for violin and orchestra (1935)
- Hanns Eisler
- Palmström, song cycle op. 5 (1923/24)
- Zeitungsausschnitte (Newspaper Clippings), song cycle op. 11 (1926)
- "14 Arten den Regen zu beschreiben" (1940, for the 1929 short documentary Regen)
- Arnold Schoenberg
- Waltz from 5 Klavierstücke, op. 23
- Serenade, op. 24
- Suite for Piano, op. 25
- Wind Quintet, op. 26
- Four Pieces for mixed voices, op. 27
- Suite for piano, piccolo clarinet, clarinet, bass clarinet, violin, viola, and cello, op. 29
- String Quartet No. 3, op. 30
- Variations for Orchestra, op. 31
- Von heute auf morgen, op. 32
- Klavierstück, op. 33a[1]
- Klavierstück, op. 33b
- Moses und Aron (incomplete)
- Begleitungsmusik zu einer Lichtspielscene [Accompanying music to a film scene], op. 34
- Concerto for Violin and Orchestra, op. 36
- String Quartet No. 4, op. 37
- Concerto for Piano & Orchestra, op. 42
- String Trio, op. 45
- A Survivor from Warsaw, op. 46
- Fantasy for Violin & Piano, op. 47
- Anton Webern
- Three Lieder, op. 17 (1924–1925)
- Three Lieder, for voice, E flat clarinet and guitar, op. 18 (1925)
- Two Lieder, for mixed choir, celesta, guitar, violin, clarinet and bass clarinet, op. 19 (1926)
- String Trio, op. 20 (1927)
- Symphony, op. 21 (1928)
- Quartet for violin, clarinet, tenor saxophone and piano, op. 22 (1930)
- Three Songs on Hildegard Jone's Viae inviae, for voice and piano, op. 23 (1934)
- Concerto for flute, oboe, clarinet, horn, trumpet, trombone, violin, viola and piano, op. 24 (1934)
- Three Lieder on texts by Hildegard Jone, for voice and piano, op. 25 (1934–35)
- Das Augenlicht, for mixed choir and orchestra, on a text by Hildegard Jone, op. 26 (1935)
- Variations, for solo piano, op. 27 (1936)
- String Quartet, op. 28 (1937–38) – the tone row of this piece is based around the BACH motif
- Cantata No. 1, for soprano, mixed choir and orchestra, op. 29 (1938–39)
- Variations, for orchestra, op. 30 (1940)
- Cantata No. 2, for soprano, bass, choir and orchestra, op. 31 (1941–43)
----
List of pieces that use serialism
Organized by composer:
- Tadeusz Baird
- Cassazione per orchestra (1956)
- String Quartet (1957)
- Four Essays (1958)
- Erotyki (1961)
- Jean Barraqué
- ... Au delà du hasard (premier "commentaire" de "Affranchi du hasard" et du "Temps restitué") for four instrumental groups and one vocal group (1958–59)
- Chant après chant for six percussionists, voice and piano (1966)
- Concerto for six instrumental groups and two solo instruments (vibraphone and clarinet) (1962–68)
- Étude for 3-track tape (1952–53)
- Séquence for voice, percussion and chamber ensemble (1950–55)
- Sonata for Piano (1950–52)
- Le Temps restitué for soprano, chorus and orchestra (1956–68)
- Pierre Boulez
- Anthèmes, for violin solo (1991/94)
- Anthèmes II, for violin and live electronics (1997)
- Cummings ist der Dichter, for chorus and ensemble (1970/1986)
- Dérive 1, for six instruments (1984)
- Dérive 2, for eleven instruments (1988/2002/2006)
- Domaines, for clarinet solo or for clarinet and six instrumental groups (1968)
- Études (2), musique concrète (1951–52)
- ...explosante-fixe...
- for flute, clarinet, and trumpet (1971–72)
- for flute, clarinet, trumpet, harp, vibraphone, violin, viola, cello, and electronics (1973–74)
- version for vibraphone and electronics (1986)
- for solo MIDI flute, two "shadow" flutes, chamber orchestra, and electronics (1991–93)
- version for vibraphone and electronics (1986)
- Figures—Doubles—Prismes, for orchestra (1957–58/1964/1968)
- Improvisé—pour le Dr. K, for flute, clarinet, piano, violin, and cello (1969; revised 2005)
- Incises, for piano (1994/2001)
- Livre, for string quartet (1948); two movements reworked for string orchestra (1968/1989)
- Le marteau sans maître (1955–57)
- Messagesquisse, for solo cello and six cellos (1976)
- Notations
- for piano (1945)
- I–IV and VII for orchestra (1978–1984/1997)
- Poésie pour pouvoir, for tape and 3 orchestras (1955/58, withdrawn)
- Polyphonie X (1950–51)
- Sonata No. 1, for piano (1946)
- Sonata No. 2, for piano (1947–48)
- Sonata No. 3, for piano (1958–63, unfinished)
- Pli selon pli (1957–62)
- Répons, for six soloists, chamber orchestra, and live electronics (1981–84)
- Rituel in Memoriam Bruno Maderna, for large chamber ensemble in eight groups (1974–75)
- Sonatine, for flute and piano (1946)
- Structures, book I for two pianos (1952)
- Structures, book II for two pianos (1961)
- Sur incises, for 3 pianos, 3 harps, and 3 mallet percussion instruments (1996/1998)
- Jacques Calonne
- Orbes for orchestra (1965) [14]
- Benjamin Frankel
- Alexander Goehr
- Piano Sonata (1952)[16]
- The Deluge (1958)[16]
- Karel Goeyvaerts
- Nummer 1, Sonata for two pianos (1950–51)
- Nummer 2, for thirteen instruments (1951)
- Nummer 3 met gestreken en geslagen tonen, for chamber ensemble (1952)
- Nummer 4 met dode tonen, electronic music (1952)
- Nummer 5 met zuivere tonen, electronic music (1953)
- Nummer 6 met 180 klankvoorwerpen (1954)
- Nummer 7 met convergerende en divergerende niveaus, electronic music (1955)
- Ernest Gold
- Jerry Goldsmith
- Wojciech Kilar
- Gottfried Michael Koenig
- Zwei Klavierstücke, for piano solo (1957)
- Quintet for Woodwinds, for flute, oboe, cor anglais, clarinet, and bassoon (1958–59)
- String Quartet 1959 (1959)
- Ernst Krenek
- String Quartet No. 6 (for example)
- Witold Lutosławski
- Symphony No. 1 (1947)
- Five Songs to Words by Kazimiera Iłłakowiczówna for soprano and piano (1957); Arrangement with Orchestra (1958)
- Musique funèbre (1958)
- Trois poèmes d'Henri Michaux (1963)
- Livre pour orchestre (1968)
- Cello Concerto (1970)
- Mi-parti (1976)
- Grave: Metamorphoses for Cello and Piano (1981)
- Symphony No. 3 (1983)
- Johnny Mandel
- Luigi Nono
- Canti per tredeci, 13 instruments, (1954–55)
- Il canto sospeso (1955–56)
- Cori di Didone, for chorus and percussion (1958)
- Diario polacco: Composizione no. 2 (1958–59)
- Due espressioni, for orchestra (1953)
- Incontri, for 24 instruments (1955)
- Polifonica—monodia—ritmica, for seven instrumentalists (1951)
- Varianti, for violin, woodwinds, and strings (1957)
- Krzysztof Penderecki
- Henri Pousseur
- Apostrophe et six Réflexions for piano (1964–66)
- Aquarius-Mémorial (in memoriam Karel Goeyvaerts)
- I. Les Litanies d'Icare for piano (1994)
- II. Danseurs Gnidiens cherchant la Perle clémentine for chamber orchestra (1998)
- III. Les Fouilles de Jéruzona for orchestra (1995)
- IV. Icare au Jardin du Verseau for piano and chamber orchestra (1999)
- La Guirlande de Pierre for soprano, baritone and piano (1997)
- At Moonlight, Dowland's Shadow passes along Ginkaku-Ji for shakuhachi, shamisen, and koto (1989)
- Ballade berlinoise for piano solo (1977)
- Canines for voice and piano (1980)
- Caractères for piano (1961)
- Chroniques berlinoises for piano and string quartet with baritone ad lib. (1975)
- Chroniques canines for two pianos with soprano ad lib (1984)
- Chroniques illustrées for large orchestra with baritone ad lib. (1976)
- Couleurs croisées for large orchestra (1967)
- Crosses of Crossed Colors for vocal soloist, two to five pianos, six tape-recorder operators, two turntablists, and two radio operators (1970)
- Déclarations d'Orage for reciter, soprano, baritone, three improvising instruments (alto saxophone, tuba, synthesizer), large orchestra and tape (1988–89)
- Dichterliebesreigentraum for soprano, baritone, two solo pianos, choir and orchestra (1992–93)
- Les Éphémérides d'Icare 2 for a soloist, three-part concertino, and four instrumental quartets (1970)
- Die Erprobung des Petrus Hebraïcus chamber opera in three acts, libretto by Léo Wintgens after Michel Butor (1974). Several "satellite" works are related to this opera:
- Flexions IV for viola solo (1980)
- Humeurs du Futur quotidien for two reciters and chamber orchestra (1978)
- Les Icare africains for solo voices, ad lib. choir, and orchestra (2002)
- Leçons d'Enfer music theatre for 2 actors, 3 singers, 7 instruments, tape, and live electronics; texts by Arthur Rimbaud and Michel Butor (1990–91)
- Madrigal I for clarinet (1958)
- Madrigal II for 4 early instruments (flute, violin, viola da gamba, harpsichord) (1961)
- Madrigal III for clarinet, violin, cello, 2 percussionists, and piano (1962)
- Mnémosyne monody solo voice or instrument, or unison choir (1968)
- Mnémosyne II for variable media (1969)
- Mobile for two pianos (1957–58)
- Navigations for harp (2000)
- Ode for string quartet (1960–61)
- La Paganania for solo violin (1982)
- La Paganania seconda for solo cello (1982)
- Paraboles-Mix electronic music (1972)
- Pédigrée for female voice and seven instruments (1980)
- Phonèmes pour Cathy for mezzo-soprano solo (1966)
- Prospection for three pianos tuned in sixths of a tone (1952–53)
- Quintette à la memoire d'Anton Webern for clarinet, bass clarinet, violin, cello, and piano (1955)
- Rimes pour différentes sources sonores for orchestra and tape (1958)
- Scambi electronic music (1957)
- Séismogrammes electronic music (1954)
- Seize Paysages planétaires ethno-electroacoustical music (2000)
- Sept Versets des Psaumes de la Pénitence for four vocal soloists or mixed choir (1950)
- Symphonies à 15 Solistes (1954–55)
- Tales and Songs from the Bible of Hell four singers with real-time electronic transformation and pre-recorded 4 track tape (1979)
- Trois Visages à Liège electronic music (1961)
- Votre Faust (1960–68), opera for five actors, four singers, twelve instruments, and electronic music, libretto by Michel Butor. Plus related "satellite" works:
- Miroir de Votre Faust (Caractères II) for solo piano and (optional) soprano (1964–65),
- Jeu de Miroirs de Votre Faust for piano, soprano and tape (1964–65)
- Echos de Votre Faust for mezzo-soprano, flute, cello, and piano (1961–69),
- Les Ruines de Jéruzona for mixed choir and "rhythm section" (1978),
- La Passion selon Guignol for amplified vocal quartet and orchestra (1981),
- Parade de Votre Faust for orchestra (1974)
- Aiguillages au carrefour des immortels for 16 or 17 instruments (2002)
- Il sogno di Leporello: Parade 2 (de Votre Faust) for orchestra (2005)
- Vue sur les Jardins interdits for saxophone quartet (1973)
- Miklós Rózsa
- David Shire
- Karlheinz Stockhausen
- Adieu, for wind quintet (flute, oboe, clarinet, bassoon, and horn), Nr. 21 (1966)
- Alphabet für Liège, Nr. 36 (1972)
- Am Himmel wandre ich ("In the Sky I Am Walking", American Indian Songs), Nr. 36½ (1972)
- Amour, 5 pieces for clarinet, flute, or saxophone Nr. 44 (1976)
- Atmen gibt das Leben, choral opera with orchestra (or orchestra on tape), Nr. 39 (1974/76–77)
- Aus den sieben Tagen ("From the Seven Days"), 15 texts for intuitive music (performable separately), Nr. 26 (1968)
- Bassetsu-Trio, for basset horn, trumpet, and trombone, Nr. 3. ex 70 (1997). Arranged from Mittwoch aus Licht, scene 4: Michaelion
- Carré, for 4 orchestras and choirs, Nr. 10 (1959–60)
- Dr K–Sextett, for flute, bass clarinet, percussionist (tubular chimes and vibraphone), piano, viola, and cello, Nr. 28 (1968–69)
- Konkrete Etüde, musique concrète, Nr. 1/5 (1952)
- Europa-Gruss, Nr. 72 (1992/2002)
- Expo, for 3 players or singers with 3 short-wave receivers, Nr. 31 (1969–70)
- Formel, for small orchestra, Nr. 1/6 (1951)
- Fresco, for 4 orchestral groups, Nr. 29 (1969)
- Für kommende Zeiten, 17 texts for intuitive music, Nr. 33 (1968–70)
- Gesang der Jünglinge, electronic and concrete music, Nr. 8 (1955–56)
- Gruppen, for 3 orchestras, Nr. 6 (1955–57)
- Harlekin, for clarinet, Nr. 42 (1975)
- Helikopter-Streichquartett, for string quartet and 4 helicopters, Nr. 69 (1992–93) [Scene 3 of ''[[Mittwoch aus Licht]]]
- Herbstmusik, musical theatre for 4 performers, Nr. 40 (1974)
- Laub und Regen, duet for clarinet and viola, Nr. 40½
- Hymnen, 4-channel electronic and concrete music (also version with soloists, and Third Region with orchestra), Nr. 22 (1966–67)
- In Freundschaft, for clarinet (and versions for most other instruments), Nr. 46 (1977)
- Inori, adorations for 1 or 2 soloists and large orchestra, Nr. 38 (1973–74)
- Vortrag über HU, for a singer, Nr. 38½ (1974)
- Jubiläum, for orchestra, Nr. 45 (1977)
- Klang ("Sound", the 24 Hours of the Day), Nr. 81– (2004–2007)
- First Hour: Himmelfahrt (Ascension), for organ (or synthesizer), soprano, and tenor, Nr. 81 (2004–05)
- Second Hour: Freude (Joy), for 2 harps, Nr. 82 (2005)
- Third Hour: Natürliche Dauern 1–24 (Natural Durations 1–24), for piano, Nr. 83 (2005–06)
- Fourth Hour: Himmels-Tur (Heaven's Door), for a percussionist and a little girl, Nr. 84 (2005)
- Fifth Hour: Harmonien (Harmonies), Nr. 85, versions for:
- bass clarinet, Nr. 85.1 (2006)
- flute, Nr. 85.2 (2006)
- trumpet, Nr. 85.3 (2006)
- Sixth Hour: Schönheit (Beauty), for flute, bass clarinet, and trumpet, Nr. 86 (2006)
- Seventh Hour: Balance, for flute, English horn, and bass clarinet, Nr. 87 (2007)
- Eighth Hour: Glück (Bliss), for oboe, English horn, and bassoon, Nr. 88 (2007)
- Ninth Hour: Hoffnung (Hope), for violin, viola, and cello, Nr. 89 (2007)
- Tenth Hour: Glanz (Brilliance), for oboe, clarinet, bassoon, trumpet, trombone, tuba, and viola, Nr. 90 (2007)
- Eleventh Hour: Treue (Fidelity), for E-flat clarinet, basset horn, and bass clarinet, Nr. 91 (2007)
- Twelfth Hour: Erwachen (Awakening), for soprano saxophone, trumpet, and cello, Nr. 92 (2007)
- Thirteenth Hour: Cosmic Pulses, electronic music, Nr. 93 (2006–07)
- Fourteenth Hour: Havona, for bass voice and electronic music, Nr. 94 (2007)
- Fifteenth Hour: Orvonton, for baritone and electronic music, Nr. 95 (2007)
- Sixteenth Hour: Uversa, for basset-horn and electronic music, Nr. 96 (2007)
- Seventeenth Hour: Nebadon, for horn and electronic music, Nr. 97 (2007)
- Eighteenth Hour: Jerusem, for tenor and electronic music, Nr. 98 (2007)
- Nineteenth Hour: Urantia, for soprano and electronic music, Nr. 99 (2007)
- Twentieth Hour: Edentia, for soprano saxophone and electronic music, Nr. 100 (2007)
- Twenty-first Hour: Paradies (Paradise), for flute and electronic music, Nr. 101 (2007)
- Klavierstücke
- Klavierstücke I–IV, Nr. 2 (1952)
- Klavierstücke V–X, Nr. 4 (1954–55/61)
- Klavierstück XI, Nr. 7 (1956)
- Klavierstück XII, ex Nr. 49¾ (1979/83)
- Klavierstück XIII, Nr. 51½ (1981)
- Klavierstück XIV, ex Nr. 57⅔ (1984)
- Synthi-Fou (Klavierstück XV), ex Nr. 61⅔
- Klavierstück XVI, Nr. 63½ (1995)
- Klavierstück XVII, 7½ ex Nr. 64 (1994/99)
- Klavierstück XVIII, Nr. 73⅔ (2004)
- Klavierstück XIX, Nr. 80 (2001/2003)
- Kontakte ("Contacts"), for electronic sounds, Nr. 12 (1958–60); Kontakte, for electronic sounds, piano, and percussion, Nr. 12½ (1958–60); Originale, musical theatre with Kontakte, Nr. 12⅔ (1961)
- Kontra-Punkte ("Counter-Points"), for 10 instruments, Nr. 1 (1952–53)
- Kreuzspiel, for oboe, bass clarinet, piano, and 3 percussionists, Nr. 1/7 (1951)
- Kurzwellen, for 6 players with live electronics, plus sound director, Nr. 25 (1968)
- Licht, Nr. 47–80 (1977–2003)
- Licht-Ruf, Nr. 67 (1995)
- Litanei 97, Nr. 74 (1997)
- Mantra, for 2 pianists (with wood blocks and antique cymbals) and electronics, Nr. 32 (1970)
- Mikrophonie I, for tamtam (2 players), 2 microphones, 2 filters with potentiometers, and 4 pair of loudspeakers, Nr. 15 (1964)
- Mikrophonie II, for 12 voices, Hammond organ (or synthesizer), 4 ring modulators, and tape, Nr. 17 (1965)
- Mixtur, for orchestra, 4 sinewave generators, and 4 ring-modulators, Nr. 16 (1964)
- Musik im Bauch, for 6 percussionists and music boxes, Nr. 41 (1975)
- Momente, for soprano solo, 4 choirs, and 13 instrumentalists, Nr. 13 (1962–64/69)
- Oktophonie (1990/91) electronic music of Tuesday from Light
- Plus-Minus, 2 x 7 pages for realization, Nr. 14 (1963)
- Pole, for 2 players or singers with 2 short-wave radios, Nr. 30 (1969–70)
- Prozession, for 6 players with live electronics, Nr. 23 (1967)
- Punkte ("Points"), for orchestra, Nr. ½ (1952/62/66/93)
- Quitt ("Even"), for alto flute, clarinet, and trumpet, Nr. 1 ex 59 (1989)
- Refrain, for piano (+ 3 woodblocks), vibraphone (+ 3 alpine cowbells and keyboard glockenspiel), and celesta (+ 3 antique cymbals), Nr. 11 (1959)
- Rotary Wind Quintet, for flute, oboe, clarinet, bassoon, and horn, Nr. 70½ (1997)
- Schlagtrio ("Percussive Trio") [originally ''Schlagquartett''], for piano and 2 x 3 [originally 3 x 2] timpani, Nr. ⅓ (1952)
- Sirius, electronic music with trumpet, soprano, bass clarinet, and bass voice, Nr. 43 (1975–77)
- Solo, for a melody instrument and feedback (live electronics with 4 technicians, 4 pair of loudspeakers), Nr. 19 (1965–66)
- Spiel ("Play"), for orchestra, Nr. ¼ (1952)
- Spiral, for a soloist with short-wave receiver and live electronics with sound director, Nr. 27 (1968)
- Sternklang ("Star Sound"), park music for five groups, Nr. 34 (1971)
- Stimmung ("Tuning"), for 6 vocalists, Nr. 24 (1968)
- Stop, for small orchestra in 6 groups, Nr. 18 (1965)
- Strahlen ("Rays"), for a percussionist and ten-channel sound recording, Nr. 80½ (2002)
- Studie I, electronic music, Nr. 3/I (1953)
- Studie II, electronic music, Nr. 3/II (1954)
- Sukat, for alto flute and basset-horn, Nr. 2 ex 60 (1989)
- Telemusik, electronic and concrete music, Nr. 20 (1966)
- Thinki, for flute, Nr. 1 ex 70 (1997)
- Tierkreis ("Zodiac"), 12 melodies of the star signs, for a melody and/or chording instrument, Nr. 41½ (1974–75)
- Trans, for orchestra and tape, Nr. 35 (1971)
- Traum-Formel ("Dream Formula"), for basset-horn, Nr. 51⅔ (1981)
- Trumpetent (aka "Trompetent"), for 4 trumpeters, Nr. 73 (1995)
- Türin, for Tür (door), rin, and speaker (versions in German and English), with electronics (2006)
- Unsichtbare Chöre, 16-channel recording of a cappella choir, for 8-channel playback, ex Nr. 79 (1979)
- Vibra-Elufa, for vibraphone, Nr. 9¾ ex 64 (2003)
- Xi, for a melody instrument with microtones, Nr. 1 ex 55 (1986)
- Ylem, for 19 players, Nr. 37 (1972)
- Ypsilon, for a melody instrument with microtones, Nr. 2 ex 59 (1989)
- Zeitmaße ("Time Measures"), for oboe, flute, cor anglais, clarinet, and bassoon, Nr. 5 (1955–56)
- Zyklus ("Cycle"), for a percussionist, Nr. 9 (1959)
- Gilles Tremblay
- Cantique de durées (1960)[18]
See also
Notes and References
- Horace Reisberg, "The Vertical Dimension in Twentieth Century Music", Aspects of Twentieth-Century Music, edited by Gary Wittlich, 362–72, citation on 370–71 (Englewood Cliffs, New Jersey: Prentice-Hall, 1975). .
- Robert L. Parker, "Carlos Chávez's Opus Ultimum: The Unfinished Cello Concerto". American Music 11, no. 4 (Winter 1993): 473–87. Citation on p. 479.
- Dimitri Kennaway, notes for recording, Naxos 8.557850, "credited with being the first British feature film score to employ the method [twelve-tone serialism] almost entirely."
- http://www.bl.uk/reshelp/findhelprestype/music/frankel/frankelmiddle/frankelmiddle.html British Library Frankel Biography – Middle Years
- Howard Pollack, Walter Piston (Ann Arbor, Mich: UMI Research Press, 1982): 35, 72–73. .
- Bruce Archibald, "Reviews of Records: Walter Piston: Symphony No. 7, Symphony No. 8, Louisville Orchestra, Jorge Mester; Walter Piston: Symphony No. 5, Louisville Orchestra, Robert Whitney; Walter Piston: Concerto for Viola and Orchestra, Paul Doktor, viola, Louisville Orchestra, Robert Whitney; Walter Piston: The Incredible Flutist, Louisville Orchestra, Jorge Mester", The Musical Quarterly 64, no. 2 (1978): 263–68 (citation on 267).
- Donald Chittum, Liner notes to Walter Piston: String Quartet No. 5, in American String Quartets, Volume II: 1900–1950, Kohon String Quartet, 3-LP set, Vox SVBX 5305 (New York: Vox, 1974).
- [Elliott Carter]
- Colin Mason, Hugo Cole, and David C.F. Wright, "Searle, Humphrey", The New Grove Dictionary of Music and Musicians, second edition, edited by Stanley Sadie and John Tyrrell (London: Macmillan Publishers, 2001).
- Book: Frisius, Rudolf. Karlheinz Stockhausen II: Die Werke 1950–1977; Gespräch mit Karlheinz Stockhausen, "Es geht aufwärts". Mainz, London, Berlin, Madrid, New York, Paris, Prague, Tokyo, Toronto. Schott Musik International. 2008. 25. 978-3-7957-0249-6.
- [Robin Maconie]
- Joseph N. Straus, Stravinsky's Late Music, Cambridge Studies in Music Theory and Analysis (Cambridge: Cambridge University Press, 2001), 4. (cloth) .
- Book: Van der Graaf Generator – The Book. Jim. Christopulos. Phil. Smart. Phil and Jim Publishers. 58. 2005. 978-0-955-13370-1.
- Jacques Calonne, "Aspects d'un resume (Apropos d' Orbes pour orchestre)", Revue d'Esthetique 21 (1968), nos. 2–4 ("Musiques nouvelles"): 59–103.
- Dimitri Kennaway, notes for recording, Naxos 8.557850, "his [Frankel's] first published experimentation with serial technique"
- Gagné (2012), p.116.
- Nicole V. Gagné, Historical Dictionary of Modern and Contemporary Classical Music, Historical Dictionaries of Literature and the Arts (Lanham, Maryland: Scarecrow Press, 2012): 98. .
- Gilles Tremblay, "Note pour Cantique de durées", Revue d'esthetique 21 (1968), nos. 2–4 ("Musiques nouvelles"): 51–58.