Symphony (Webern)

Symphony, Op. 21
Symphony by Anton Webern
Webern, 1927, portrait by Georg Fayer
Opus21[1]
Perioddie Neue Musik (20th-century music)
LanguageGerman
Composed1927–1928
DedicationWebern's youngest daughter Christine Mattl (née Webern)[2]
Duration10–20 minutes[3]
MovementsI. Ruhig schreitend
II. Variationen
Scoring1 clarinet
1 bass clarinet
2 horns
1 harp
strings without basses
Premiere
Date18 December 1929 (1929-12-18) (world premiere)
LocationTown Hall, New York
ConductorAlexander Smallens
PerformersOrchestra of the League of Composers

Symphony, Op. 21 was composed by Anton Webern between 1927 and 1928. It was his first twelve-tone orchestral work.[4] The two-movement work lasts 10–20 minutes and contains Alpine topics, abstraction, and intricate musical form, including some fixed register.[5][6] The Symphony was influenced by Gustav Mahler. Alexander Smallens conducted the world premiere at New York's Town Hall on 18 December 1929.

Historical background

In 1926, Webern was pleading for financial assistance from his publisher, Emil Hertzka at Universal Edition (U.E.). By the end of 1927, however, he was pointing to a steady increase in performances of his works as evidence of growing recognition. Though still struggling financially, he viewed this gradual success as more meaningful than rapid fame and grew increasingly confident that his music would find its audience.[7]

He was an alpinist whose favorite mountain was the Schneealpe, and he climbed it and the Hochschwab twice while writing the Symphony, summiting the former that July.[8] He loved the quiet otherworldliness of the altitude and referred to these landscapes as "up there", a spiritual, utopian realm.[9] He continued Mahler's practice of portraying Alpine stillness and spaciousness in his music.[10]

After finishing the Symphony, Webern wrote to the poet Hildegard Jone on 6 August 1928. Replying to her suggestion that "progress is made only inwards", he concurred, "I understand 'Art' to mean the faculty of bringing a thought into the clearest, simplest, i.e. 'most comprehensible' form." Pointing to previous masters like Beethoven, he continued, "... I have always only endeavoured to do exactly as they did: to represent as clearly as possible that which is given to me to say."[11]

Orchestration

Webern's Symphony is scored for clarinet, bass clarinet, two horns, harp, and strings without basses. Concurrently in 1928, he rescored the Six Pieces for Orchestra, Op. 6 (afterward, he wrote Alban Berg, it looked "like an old Haydn score"). The Symphony's wind section is limited to clarinets and horns.[12] With their wide ranges and strong pastoral connections, they are often paired together.[13] The horn is an archetypal symbol of wide Alpine space.[14]

In the summer of 1929, the League of Composers offered him the windfall sum of $350 to premiere a chamber orchestra work by October. Unable to meet that deadline, he consulted with U.E. and offered the newly published Symphony. The League accepted, and he wrote them that the string parts, with their occasional solo passages, could be performed entirely solo or in multiples.[15] After conducting the work himself, he wrote in his diary: "Better with multiple strings."[16]

Tone row

Webern saw variations as "the primeval form" which yields "the most comprehensive unity". He pointed to the second Netherland school's use of canons as the simplest method of variation because "everyone sings the same thing", and a great deal of material can be generated through simple methods like reversing or inverting the melody.[17] Almost the entire Symphony is a series of canons, turning it into a kind of "essay in symmetry".[18]

He used the same tone row for both movements. The material is even more cohesive because the second half of the row is derived from the first, a technique he relied on extensively.[19] The first six notes (hexachord) are transposed up a diminished fifth and reversed to generate the last six notes. These symmetries are part of what make the Symphony one of the most unified works of its type. Since it is a mirrored row, there are only 24 permutations instead of the usual 48.[20]

Symphony Op. 21 Tone Row

 \new Staff \with { \remove "Time_signature_engraver" } \relative c'' { \clef treble \override Stem #'transparent = ##t \accidentalStyle dodecaphonic \time 12/2 a2^"P→" fis g gis e f \bar "!" b bes d cis c ees^"←R" }

       P: prime form.        R: retrograde form.

 \new Staff \with { \remove "Time_signature_engraver" } \relative c'' { \clef treble \override Stem #'transparent = ##t \accidentalStyle dodecaphonic \time 12/2 a2^"I→" c b bes d cis \bar "!" g gis e f fis ees^"←RI" }

       I: inverted form.        RI: retrograde inverted form.

The tone row consists of the tetrachords [0,1,2,3] and [0,1,6,7]:

 \new Staff \with { \remove "Time_signature_engraver" \remove "Bar_engraver" } \relative c' { \clef treble \override Stem #'transparent = ##t  \accidentalStyle dodecaphonic <fis g gis a>1^\markup { \teeny [0,1,2,3] } <bes b f e>^\markup { \teeny [0,1,6,7] } <c cis d ees>^\markup { \teeny [0,1,2,3] } }

Its trichords are [0,1,3] and [0,1,4]:

 \new Staff \with { \remove "Time_signature_engraver" \remove "Bar_engraver" } \relative c' { \clef treble \override Stem #'transparent = ##t  \accidentalStyle dodecaphonic <fis g a>1^\markup { \teeny [0,1,3] } <e f gis>^\markup { \teeny [0,1,4] } <bes' b d>^\markup { \teeny [0,1,4] } <c cis ees>^\markup { \teeny [0,1,3] } }

Movements

The symphony is in two movements:

I. Ruhig schreitend (Calmly paced)
II. Variationen (Variations)

Webern initially planned three movements and sketched two iterations:[21]

  1. Rondo: lively—sun
  2. Variations: moderately
  3. Free form: very calmly—moon
  1. Variations
  2. Rondo (Scherzo, march-like)
  3. Slowly

Webern's first sketch for the symphony is dated November–December 1927. He finished the variations in March 1928. He wrote a canonic Adagio as the second movement that summer. He began drafting the third movement in August but quickly abandoned it. While deciding to jettison the third movement, Webern found comfort in the models of Beethoven's two-movement piano sonatas and Bach's two-movement orchestral suites. He also decided to reverse the movements, putting the adagio before the variations.[22]

I. Ruhig schreitend

Incipit with labeled tone rows

The first movement consists of an inverted double canon with frequent palindromes.[23] Webern's experience in vocal writing predisposed him to compose linear, song-like material.[24] The first canon features lilting pastoral rhythms in the lower strings and Ländler-like horns. Webern's rhythms and orchestration for the second canon are less homogenous with ornaments, double stops, mutes, harmonics, pizzicati, and plucked harp. Eventually, the more chaotic second canon affects the character of the first.[25] Because the fitful canon is so attenuated and broadly dispersed among the instruments and their registers, it is difficult to perceive.[20][26]

Webern marshals his double canon into a rough, tempo-demarcated sonata form (exposition, mm. 1–26; development, mm. 25–44b; recapitulation, mm. 61–66).[20] He introduces both themes simultaneously,[27] repeats sections to recall early sonatas,[28] and lets the second canon finish alone like a stretto.[29] But his music often features several overlapping formal strategies,[30] and scholars debate these labels' descriptive and explanatory power in particular.[31]

Exposition

Webern painstakingly sketched the first several bars through several iterations.[32] They are an archetypal example of klangfarbenmelodie (tone-color melody). The texture is very sparse, but because of the constant timbre changes, the passage sounds dense.[33]

The symphony's opening is evocative of Mahler's Symphony No. 9 (1912). Webern enthused to Arnold Schoenberg that Mahler's Ninth was "inexpressibly beautiful". From Mahler's opening, Webern borrowed the texture of horns, harp, and low strings designed to evoke an Alpine expanse.[25] Both composers' tempo markings also allude to walking: Ruhig schreitend (calmly paced) and Andante comodo (comfortably walking).[34]

The opening horn call establishes a motif that is recognizable in subsequent phrases, even as the material is transposed and accelerated.[35]

Opening horn fanfare, mm. 1–4

\relative c' {
  \clef bass \override Staff.TimeSignature.style = #'numbered \time 2/2
  \set Score.tempoNote = ##t \tempo 2 = 50 \accidentalStyle dodecaphonic
  \set Staff.midiInstrument = "French horn"
  r4 a2_\markup { \tiny (hn. II) }\p r4 | fis'2-- r4 fis4-- | g,,1( | aes'1) |
}
First variant, mm. 6–8, clarinet

\relative c'' {
  \clef treble \override Staff.TimeSignature.style = #'numbered \time 2/2
  \set Score.tempoHideNote = ##t \tempo 2 = 50 \accidentalStyle dodecaphonic
  \set Staff.midiInstrument = "clarinet"
  e2_\markup { \tiny (cl.) }\mp-- r4 f,,\p-- | b'1( | bes,) \> | \!
}
Figure with acciaccatura, mm. 14–15, violin I

\relative c' {
  \clef treble \override Staff.TimeSignature.style = #'numbered \time 2/2
  \set Score.tempoHideNote = ##t \tempo 2 = 50 \accidentalStyle dodecaphonic
  \set Staff.midiInstrument = "pizzicato strings"
  r4 a4^"pizz."_\markup { \tiny (vln. I) }\p-. r4 \set Staff.midiInstrument =  #"string ensemble 1" \acciaccatura bes8 e'4^"arco"\mp--| r4 ees,\p-- r2 |
}

The motif is so strongly established that the row's tetrachords are highlighted and quite perceptible.[36] This emphasis is a counterpoint to the binary nature of the row.[20]

During the exposition, Webern limits the pitch space to a fixed register. The horn's opening A is the center of a symmetrical axis that generally expands outwards in increasing intervals, beginning with chromatic minor seconds and ending with fourths.[37] This organization of the musical space is another of the work's mirrors in that it reverses the interval relationships of the tonal overtone series.[26]

Pitch space of the tone row centered on A (mm. 1–25)[37]

\new StaffGroup <<
  \new Staff \with { \remove "Time_signature_engraver" \remove "Bar_engraver" } \relative c' {
  \clef treble \override Stem #'transparent = ##t
  \set Score.tempoHideNote = ##t \tempo 1 = 100 \accidentalStyle dodecaphonic
  \set Staff.midiInstrument = "piano"
    \parenthesize a1^"   m2" ais1^"   m3" cis1^"   d3/M2" ees1^"   m3" fis1^"   P4" b1^"   P4" e1
  }
  \new Staff \with { \remove "Time_signature_engraver" \remove "Bar_engraver" } \relative c' {
  \clef bass \override Stem #'transparent = ##t
  \accidentalStyle dodecaphonic
  \set Staff.midiInstrument = "piano"
    a1 aes1 f1 ees1 c1 g1 d1
  }
>>

The pitch space may also be seen as two symmetrical columns of perfect fourths around the row's initial A,[38] bounded by the only repeated note, E♭, the row's terminal note.[39] This arises largely from inversion at even index positions in the row, yielding a partition of five dyads and two singletons that may function as pitch axes.[40]

Vertical arrangement of the tone row's pitch space (mm. 1–25)[38]

\layout {
  \context {
    \PianoStaff
    \consists "Span_stem_engraver"
  }
}
\new StaffGroup <<
  \new Staff \with { \remove "Time_signature_engraver" \remove "Bar_engraver" } \relative c {
  \set PianoStaff.connectArpeggios = ##t
  \clef treble \override Stem #'transparent = ##t \set PianoStaff.connectArpeggios = ##t
  \accidentalStyle dodecaphonic
  \set Staff.midiInstrument = "piano"
    ees'1 s1 <cis fis b e>1
  }
  \new Staff \with { \remove "Time_signature_engraver" \remove "Bar_engraver" } \relative c, {
  \clef bass \override Stem #'transparent = ##t
  \accidentalStyle dodecaphonic
  \set Staff.midiInstrument = "piano"
    <d g c f bes>1 a''1 <dis, gis>1
  }
>>

Sketches suggest that vertical sonorities followed contrapuntal lines' trial-and-choice adjustment,[41] and the D at the bottom of this pitch space permits recurring D-major sonorities (e.g., a major 10th D and F♯ at m. 13).[42] Webern's idyll Im Sommerwind centers on a slowly unfolded D-major triad.[43]

Development


\new StaffGroup <<
  \new Staff \relative c'' {
  \clef treble \override Staff.TimeSignature.style = #'numbered \time 2/2
  \set Score.tempoHideNote = ##t \tempo 2 = 50 \accidentalStyle dodecaphonic
  \set Staff.midiInstrument = "clarinet"
    r4 e2._\markup { \tiny (cl.) }\pp~ | e2. g8( fis,8-.) | r4 e'2.\pp~ | e2. cis8( d'8-.) |
  }
  \new Staff \relative c {
  \clef bass \override Staff.TimeSignature.style = #'numbered \time 2/2
  \set Score.tempoHideNote = ##t \tempo 2 = 50 \accidentalStyle dodecaphonic
  \set Staff.midiInstrument = "string ensemble 1"
    r1 | r4 c2.^"Alle (m.  Dpf.)"_\markup { \tiny (vlc.) }\pp~ | c2. ees8( d'8-.) | r1
  }
>>
Development of the opening motif, clarinet and cello (mm. 25b–28).

Webern expands the range of the piece to four and a half octaves in the development.[44] In fact, the development section ends on the highest note in the entire movement, a pianississimo 8th-note C♯ in the harp (mm. 45).[20] Webern's Fünf Geistliche Lieder also ends with a single, high, quiet harp harmonic.[45]

Webern continues developing the opening horn motif in the development. The shape is distorted but still recognizable. Illusions of tonality also persist in the development, particularly C major beginning in m. 27.[46]

Recapitulation


\relative c'''' {
  \clef treble \override Staff.TimeSignature.style = #'numbered \time 2/2
  \set Score.tempoHideNote = ##t \tempo 2 = 50 \accidentalStyle dodecaphonic
  \set Staff.midiInstrument = "string ensemble 1"
  r2 r4 r8 a8^"m. Dpf."^\flageolet_\markup { \tiny (vla.) }\fp~( | a2.^\flageolet fis,,4) \set Staff.midiInstrument =  #"viola" | r8 fis8^"Solo"\pp( g'2.)^\flageolet | r8 g8^\flageolet(\> gis,8) \! r8 r2 |
}
Reprise theme in the viola, mm. 42b–45.

Relative to that of the exposition, the music of the recapitulation is generally louder, quicker, and higher in pitch. It is more melodically fragmented, ornamented (with acciaccature), registrally expansive (by a tritone), rhythmically erratic, and timbrally varied (with harmonics and mutes) despite sharing the same tone-row structure.[47] The transmuted form of Webern's material is evident from the first statement of the recapitulation by the viola. It plays the same four notes the horn did to begin the piece, but their character is far removed from its atonal alpine call.[48]

In the stretto coda, the texture becomes leaner.[20] There are quick, shifting eighth-note figures of three to five pitches each (not including acciaccature), mostly in the violins and violas.[49] The horns play one note each.[49] The motivic material is reduced to a wisp of two notes and finally one muted tone marked with a diminuendo, an ending quite common in the slow movements of Romantic symphonies.[20]

II. Variationen

The second movement is a theme and variations with a coda. Webern indicates seven variations in the score, and each section is eleven bars for a total of 99 in the movement.[28]

Unlike the relentlessly symmetrical fragmentation of the first movement, the theme of the second movement is stated entirely by the clarinet. The horns and the harp accompany by playing the theme in reverse, imitating a crab canon.[50] All of the variations are canons. The coda is sometimes seen as an additional variation.[51]

The fourth variation is a vague parody of the waltz and ländler.[52] It is also the midpoint of the entire movement. From there, Webern repeats the material in reverse. He described the movement as a double canon in retrograde motion.[53]

The harp's ostinato in the fifth variation was an imitation of cowbells. When Theodor Adorno recognized the allusion, Webern was "extremely happy".[54] Webern loved Mahler's use of almglocken particularly in the Nachtmusik of his Seventh Symphony. Webern's early orchestral works actually included cowbells in imitation of Mahler.[55]

There is another echo of Mahler in the violin solo that makes the last sustained statement in Webern's Symphony. It recalls the violin solo in the closing gesture of Mahler's Ninth Symphony.[56]

Tempo and total duration

The reported duration of Webern's Symphony varies substantially from approximately ten to perhaps as many as twenty minutes.[3] The published score gives a duration of ten minutes.[57] Webern wrote Schoenberg in September 1928 estimating "almost a quarter of an hour" for the first movement and "about six minutes" for the second, or "about twenty minutes of music" in total.[57]

Conductors' approaches have varied significantly, but Webern's ideas about his music having a longer duration or slower tempi have generally not been realized in practice.[57] This problem is not exclusive to the Symphony, as Webern gave conductor Edward Clark estimates of seventeen minutes for the Op. 5 arrangement and ten minutes for the Op. 10 orchestral pieces, total durations nearly twice as long as what is the case in most performances.[57]

Reception

Performances

Premiere: Smallens in New York

Alexander Smallens and the Orchestra of the League of Composers gave the world premiere at New York's Town Hall on 18 December 1929, meeting jeers.[58] The New York Times' Olin Downes wrote that the "audience laughed it out of court". He never did like Webern's music and described the Symphony as "one of those whispering, clucking, picking little pieces which Webern composes when he whittles away at small and futile ideas, until he has achieved the perfect fruition of futility [...]".[59] The same month, Webern wrote to Schoenberg that Otto Klemperer, Hermann Scherchen, and Leopold Stokowski had all expressed interest.[60]

Webern in Vienna

With the orchestra again reduced to soloists at the Vienna Konzerthaus on February 24, 1930, Webern led musicians drawn from the Vienna State Opera and Kolisch Quartet, plus violinist Elsie Stein. There were "great" difficulties and four rehearsals, he diaried, but the result gave him "much joy". He flanked his Symphony between Brahms's Piano Quartet No. 2 (Eduard Steuermann, piano) and Beethoven's Septet.[16] Jone attended and surprised him with her oil painting "Winter". (She gave him its counterpart "Spring" that December.)[61]

The Neue Freie Presse's Josef Reitler wrote that Webern's conducting was "ecstatic" and that "barbaric ... soullessness is foreign [to him]", by contrast to Béla Bartók, Igor Stravinsky, and the Ernst Krenek of Jonny spielt auf. "Perhaps", Reitler continued, "he means to place something in opposition ... dematerialized in sound, ... dissolved in rhythm".[16] While composing the Symphony, Webern had written Jone that his music differed from "present day 'classicism'", effecting not a "copy" but "something ... personal".[11]

Paul Stefan's review in Die Stunde was so admiring that U.E. used it for marketing: "Sounds as impression, as color, as reflection of fulfilled nature, of a pure soul. These sounds possess a softness, highness, and evocative power that bring back the memory of the glacier wind's playing across the last mountain meadows."[62]

Klemperer in Berlin

Listeners laughed in Berlin, where Klemperer conducted in 1931.[63] He had only two weeks to prepare.[64] Heinz Tietjen was defunding the Krolloper ostensibly for its poorly attended modernist repertoire.[65] The Berliner Börsen-Courier's critic wrote that it expressed "conceptions that cannot be grasped in their new meaning, that are being musically realized in dots and drops, without coherence, totally crumbled melodically–spiritually".

The critic for Rheinisch-Westfälische Zeitung wrote that it belonged to "the inflation period of unhappy memories", when "perhaps one listened seriously to such a curiosity", whereas "nowadays it has an unspeakably ridiculous effect." They asked, "What kind of a Vienna is this that sends us such symptoms of degeneracy under the label of 'music'?"[66]

Scherchen in London

Scherchen conducted the London premiere in the Queen's Hall at the summer 1931 International Society for Contemporary Music Festival. Prompted by Schoenberg, Edward Clark had invited Webern to conduct. Webern declined, citing travel fatigue and his desire to focus on composition. There was also low remuneration, the bad press from Berlin, and as noted in his diary earlier that year: "Need for quiet and reflection."[67]

It shared a program with Roman Palester's Symphonic Music, Virgilio Mortari's Rhapsody, Vladimir Dukelsky's Symphony No. 2, Constant Lambert's Music for Orchestra, and Gershwin's An American in Paris. The Berlin-based Vossische Zeitung critic wrote that it "perseveres in the atonal twelve-tone system that at one time was celebrated and today has been laid ad acta with hardly a tear". Haddon Squire of the Christian Science Monitor called it "sphinxlike", adding that "for all his technical skill, Webern is pre-eminently a poet of sound".[68]

Klemperer in Vienna

Klemperer programmed the Symphony again in 1936 Vienna, likely on Schoenberg's advice, but did not adhere to Webern's desired performance practice.[69]

Composers

Luigi Dallapiccola studied Schoenberg's and Webern's music especially after World War II.[70] He carefully read and published a review of René Leibowitz's Schoenberg et son école, which described Webern's techniques in the Symphony, like its double-inverted canons and palindromes.[71] Dallapiccola's subsequent music featured axial symmetry, canons, and four-part tone-row writing likely modeled in part on Webern's Symphony.[72] The Goethe-Lieder (1953) have palindromes.[73] An Mathilde (1954) features a tone-row form in each of four voices.[74] Parole di San Paolo (1964) and the second movement of Webern's Symphony both deploy a rest or fermata at their center (m. 50 in both cases).[75]

Karel Goeyvaerts noted proto-serial schemes of articulations, dynamics, and register in Webern's Symphony. Karlheinz Stockhausen applied the Symphony's tone row in Klavierstücke VII, IX, and X.[76] George Rochberg noted the "objectified, mensural" relation of pitch and time in Webern's later instrumental writing.[77]

References

  1. ↑ Webern 1929, 1.
  2. ↑ Moldenhauer and Moldenhauer 1978, 480; Webern 1929, 2.
  3. 1 2 Moldenhauer and Moldenhauer 1978, 326; Näf 2019, 180–194; Webern 1929, 16.
  4. ↑ Bailey Puffett 1991, 2; Johnson 1999, 200.
  5. ↑ Johnson 1999, 74 106, 205; Morris 2016, 74–81, 119–120, 170–174.
  6. ↑ Bailey Puffett 1991, 154, 197, 202.
  7. ↑ Moldenhauer and Moldenhauer 1978, 294–295, 305–306; Stroh 1975, 3–4.
  8. ↑ Moldenhauer and Moldenhauer 1978, 257, 301–2.
  9. ↑ Peattie 2015, 103.
  10. ↑ Johnson 1999, 30, 33.
  11. 1 2 Moldenhauer and Moldenhauer 1978, 342.
  12. ↑ Moldenhauer and Moldenhauer 1978, 128–129 quoting Webern's 20 August 1928 letters to Schoenberg ("Everything extravagant is now cut ...") and Berg respectively ("like ... Haydn"), 324 the Symphony's sketched scoring, 714–715 the Symphony's final scoring for "chamber ensemble".
  13. ↑ Hoeprich 2021, 12–16.
  14. ↑ Johnson 1999, 53, 205.
  15. ↑ Moldenhauer and Moldenhauer 1978, 326–327 quoting Webern's letter to the League's director Claire Raphael Reis ("... for instance, about 4 first violins, 4 second violins, 3 violas, and 3 violoncelli ...").
  16. 1 2 3 Moldenhauer and Moldenhauer 1978, 344.
  17. ↑ Webern 1963, 40, 53.
  18. ↑ Bailey Puffett 1991, 95.
  19. ↑ Babbitt 1987, 48.
  20. 1 2 3 4 5 6 7 Brown 2003, 876.
  21. ↑ Moldenhauer and Moldenhauer 1978, 324.
  22. ↑ Moldenhauer and Moldenhauer 1978, 324–326.
  23. ↑ Bailey Puffett 1991, 95-6.
  24. ↑ Shreffler 1994, 18.
  25. 1 2 Spitzer 2020, 350–351.
  26. 1 2 Döhl 1976, 247.
  27. ↑ Bailey Puffett 1991, 155.
  28. 1 2 Moldenhauer and Moldenhauer 1978, 325.
  29. ↑ Bailey Puffett 1991, 170.
  30. ↑ Mead 1992, 107–109 stressing their divergence; Taruskin 2020, 207 terming their convergence in Webern's music "utopian".
  31. ↑ Angerer n.d.; Bailey Puffett 1991, 163–167 summarizing and evaluating competing analyses of the first movement's form, 237; Mead 1992, 107–117 reviewing Bailey Puffett 1991 ("[A]ny analysis is predicated upon ... theory"; "At the heart of the author's problems with twelve-tone theory is her failure to distinguish among relationships that are the result of the primitives of the system, those that are based on the properties of particular orderings and their transformations, and those that arise from the ways particular properties are selectively composed out on the musical surface"; "A problem throughout ... is that the implicit attitude towards form is prescriptive").
  32. ↑ Shreffler 1994, 42.
  33. ↑ Adler 1989, 506–8.
  34. ↑ Johnson 1999, 205.
  35. ↑ Bailey Puffett 1991, 165–166, paraphrasing Wolfgang Martin Stroh.
  36. ↑ Hanninen 2012, 81–2.
  37. 1 2 McKenzie 1960, 403–4.
  38. 1 2 Borris 1966, 236.
  39. ↑ Schulenberg 1985, 236.
  40. ↑ Alegant 2010, 9–10, 31–33, 300n14; Babbitt 1987, 33–46; Mead 1992, 113–114.
  41. ↑ Bailey Puffett 1991, 334.
  42. ↑ Fürbeth 1998, 582.
  43. ↑ Puffett 2001, 529.
  44. ↑ Bailey Puffett 1991, 167.
  45. ↑ Johnson 1999, 156–157.
  46. ↑ Stroh 1975, 26–8.
  47. ↑ Bailey Puffett 1991, 164, 168–169.
  48. ↑ Stroh 1975, 29.
  49. 1 2 Borris 1966, 237.
  50. ↑ Bailey Puffett 1991, 99–100.
  51. ↑ Craft 2004.
  52. ↑ Hood 2022, 172.
  53. ↑ Webern 1963, 56.
  54. ↑ Hood 2022, 170.
  55. ↑ Peattie 2015, 102–3, 113.
  56. ↑ Fürbeth 1998, 584.
  57. 1 2 3 4 Moldenhauer and Moldenhauer 1978, 326.
  58. ↑ Miller 2022b, "The rule"; Morgan 1993, 416.
  59. ↑ Downes 1929; Moldenhauer and Moldenhauer 1978, 667n16.
  60. ↑ Moldenhauer and Moldenhauer 1978, 305.
  61. ↑ Moldenhauer and Moldenhauer 1978, 344, 670n2.
  62. ↑ Stefan 1930, 7; Stroh 1975, 8: "Klänge als Impression, als Farbe, als Spiegelung der erfüllten Natur, einer reinen Seele. Diese Klänge sind von einer Zartheit, einer Hoheit, einer Eindrucksmacht, die einem die Erinnerung an das Spiel des Gletscherwindes über die letzten Bergwiesen wiederbringt".
  63. ↑ Heyworth 1983, 246.
  64. ↑ Heyworth 1983, 362; Moskovitz 2010, 256.
  65. ↑ Moskovitz 2010, 249-251.
  66. ↑ Moldenhauer and Moldenhauer 1978, 363.
  67. ↑ Moldenhauer and Moldenhauer 1978, 362–364.
  68. ↑ Moldenhauer and Moldenhauer 1978, 364.
  69. ↑ Moldenhauer and Moldenhauer 1978, 470–471, 679–680.
  70. ↑ Alegant 2010, 29.
  71. ↑ Alegant 2010, 29–30.
  72. ↑ Alegant 2010, 30, 48, 162, 193, 293n20.
  73. ↑ Alegant 2010, 293n20, 302n34.
  74. ↑ Alegant 2010, 4, 162, 193.
  75. ↑ Alegant 2010, 5, 307n7.
  76. ↑ Maconie 2016, 38, 127, 195–196.
  77. ↑ Rochberg 2004, 15.

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Further reading