The piece features consistent use of the twelve-tone technique and only one tone row ("the language is very systematic, it's the true dodecaphonic Schoenberg",[8]) though not as strictly as Schoenberg once required[when?] (for example, the ninth, tenth and eleventh tones of the series are repeated before the twelfth tone is first heard).[clarification needed] The opening melody is thirty-nine bars long and presents all four modes of the tone row in the following order: basic set, inversion of retrograde, retrograde, and inversion. Both of the inversions are transposed.[4] Four different types of row partitioning are evident: linear, by dyadsortetrachords, free, and by trichords. Linear presentations are ordered, strict presentations of either complete rows or component hexachords, and dominate the Andante and Giocoso movements. The second type symmetrically divides the twelve-tone aggregate into either six dyads or three tetrachords, and is found in the Molto allegro. The third type consists of irregular presentations of segments or fragments of the row, and is used mainly in the Adagio section. The last type, trichordal partitioning, is found throughout the concerto, and is a two-dimensional design created from the discrete trichords of complexes made from pairs of inversionally combinatorial rows.[9]
In order to aid Oscar Levant, for whom the Piano Concerto was originally composed, Schoenberg provided what he called "a few explanatory essays":[10]
Life was so easy
Suddenly hatred broke out
A grave situation was created
But life goes on[11]
Although this program was not included in the published score, Schoenberg told his student Marion Bauer that "for sometime [sic] I have not been against program music".[12]
Former Schoenberg student Lou Harrison said, "One of the major joys ... is in the structure of the phrases. You know when you are hearing a theme, a building or answering phrase, a development or a coda. There is no swerving from the form-building nature of these classical phrases. The pleasure to be had from listening to them is the same that one has from hearing the large forms of Mozart. ... This is a feeling too seldom communicated in contemporary music, in much of which the most obvious formal considerations are not evident at all. ... The nature of his knowledge in this respect, perhaps more than anything else, places him in the position of torch-bearer to tradition in the vital and developing sense".[13] The concerto has been compared with the music of Johannes BrahmsbyMitsuko Uchida,[14] Sabine Feisst[15] and AllMusic.[16]
full of, "anxious fragmentation," and the "sort of free Expressionist gestures that fueled his middle period"
"very expressive, sombre and tragic," "slow," containing a "Funeral March"
"very ironic and very varied in terms of character"
Stravinsky has criticized the piano writing in the concerto.[18] Mitsuko Uchida,[19] describing the work as very difficult for the pianist, points out that Schoenberg did not play the piano very well and that he "had no intention of writing effectively, or comfortably" for the instrument.
Feisst, Sabine (2011). Schoenberg's New World: The American Years. Oxford University Press. ISBN978-0-19-063217-5.
Feisst, Sabine, ed. (2018). Schoenberg's Correspondence with American Composers. Schoenberg in Words. New York: Oxford University Press. ISBN9780190904562.
Meyer, Donald C. 2012. "Toscanini and the NBC Symphony Orchestra". Perspectives on American Music, 1900–1950, edited by Michael Saffle. New York: Routledge. ISBN9780815321453.
Miller, Leta E., and Fredric Lieberman. 1998. Lou Harrison: Composing a World. Oxford and New York: Oxford University Press. ISBN0-19-511022-6.
Woodstra, Chris, Gerald Brennan, and Allen Schrott (eds). 2005. All Music Guide to Classical Music: The Definitive Guide to Classical Music. Hal Leonard. ISBN9780879308650.
Bailey, Walter B. 1982. "Oscar Levant and the Program for Schoenberg's Piano Concerto". Journal of the Arnold Schoenberg Institute 6, no. 1 (June): 56–79.
Benson, Mark F. 1988. "Arnold Schoenberg and the Crisis of Modernism". Ph.D. diss., University of California, Los Angeles.
Bishop, David M. 1991. "Schoenberg's Concerto for Piano and Orchestra, op. 42: A Reexamination of the Evolution of the Series in the Sketches". Journal of the Arnold Schoenberg Institute 14, no. 1 (June): 135–149.
Brendel, Alfred. 2001. "On Playing Schoenberg's Piano Concerto". In Alfred Brendel on Music: Collected Essays, 311–321. Chicago: A Cappella. ISBN1-55652-408-0.
Haimo, Ethan. 1998. "The Late Twelve-Tone Compositions". In The Arnold Schoenberg Companion, edited by Walter B. Bailey, 157–75. Westport: Greenwood Press. ISBN0-313-28779-1.
Hauser, Richard. 1980. "Schoenbergs Klavierkonzert—Musik im Exil". Musik-Konzepte, special issue: Arnold Schoenberg: 243–272.
Hurst, Derek. 2006. "The Classical Tradition and Arnold Schoenberg's Concerto for Piano and Orchestra, Op. 42: Monothematic Sonata Form, Long-range Voice-leading and Chromatic saturation, and, "...ai tempi, le distanze..." for Piano and Electronic Sound". PhD diss. Waltham: Brandeis University.
Johnson, Paul. 1988. "Rhythm and Set Choice in Schoenberg's Piano Concerto". Journal of the Arnold Schoenberg Institute 11, no. 1 (June): 38–51.
Litwin, Stefan. 1999. "Musique et histoire: Le concerto de piano op. 42 d'Arnold Schoenberg (1942) / Musik als Geschichte, Geschichte als Musik: Zu Arnold Schönbergs Klavierkonzert op. 42 (1942)". Dissonance, no. 59 (February): 12–17.
Liu, Wenping (刘文平). 2006. 怀念调性——勋伯格《钢琴协奏曲》Op.42创作特点研究 [Yearning for Tonality: A Study of Schoenberg's Piano Concerto, op. 42]. Tianjin Yinyue Xueyuan xuebao (Tianlai)/Journal of Tianjin Conservatory of Music (Sounds of Nature) 1, no. 84:55–61 and 74.
Mäkelä, Tomi. 1992. "Schönbergs Klavierkonzert opus 42—Ein romantisches Virtuosenkonzert? Ein Beitrag zu Analyse der kompositorischen Prinzipien eines problematischen Werkes". Die Musikforschung 45, no. 1:1–20.
Maurer Zenck, Claudia. 1993. "Arnold Schönbergs Klavierkonzert: Versuch, analytisch Exilforschung zu betreiben". In, Musik im Exil: Folgen des Nazismus für die internationale Musikkultur, edited by Hanns-Werner Heister, Claudia Maurer Zenck, and Peter Petersen, 357–384. Frankfurt: Fischer-Taschenbuch-Verlag. ISBN3-596-10907-8.
Maurer Zenck, Claudia. 2002. "Klavierkonzert op. 42". In Arnold Schönberg: Interpretationen seiner Werke, 2 vols., edited by Gerold Wolfgang Gruber and Manfred Wagner, 2: 95–108. Laaber: Laaber-Verlag. ISBN978-3-89007-506-8.
Mazzola, Guerino, and Benedikt Stegemann. 2008. "Hidden Symmetries of Classical Tonality in Schönberg's Dodecaphonic Compositions". Journal of Mathematics and Music 2, no. 1 (March): 37–51.
Newlin, Dika. 1974. "Secret Tonality in Schoenberg's Piano Concerto". Perspectives of New Music 13, no. 1 (Fall–Winter): 137–139.
Petersen, Peter. 1990. "'A Grave Situation Was Created': Schönbergs Klavierkonzert von 1942". In Die Wiener Schule und das Hakenkreuz: Das Schicksal der Moderne im gesellschaftspolitischen Kontext des 20. Jahrhunderts, edited by Otto Kolleritsch, 65–69. Studien zur Wertungsforschung 22. Vienna: Universal Edition.
Schoenberg, Arnold. 1944. Concerto for Piano and Orchestra Op. 42 (score). Los Angeles: Belmont Music Publishers.
Schoenberg, Arnold. 1975. Style and Idea: Selected Writings of Arnold Schoenberg, edited by Leonard Stein with translations by Leo Black. New York: St. Martins Press. Reprinted, Berkeley: University of California Press, 1984. ISBN0-520-05286-2 (cloth); ISBN0-520-05294-3 (pbk).
Rothstein, William. 1980. "Linear Structure in the Twelve-Tone System: An Analysis of Donald Martino's Pianississimo." Journal of Music Theory 24: 129–165. Cited in Alegant (2001).