Example 19. Bass semitone micro-schema catalog
Work |
First / Significant Occurrences |
Comments |
Four Preludes op. 1 (1955) |
II: mm. 14–23 |
Final formal section, cluster harmonies with a semitone in the bass always (occasionally a M7). |
Toccata for two pianos op. 2 (1955) |
mm. 25–38; mm. 97–104 |
The first piano plays a passage loosely in E minor, while the second piano plays a passage loosely in E♭ major, resulting in several bass semitones; chromatic clusters in the first piano, always with C-C♯. |
Variazioni op. 4 (1956) |
m. 6 |
Piano part. |
Quartettino op. 5 (1956) |
III m. 1 |
Opening harmony of (015) with semitone in the bass. |
Piano Sonata op. 6, no. 1 (1956) |
I: mm. 69–89 |
F lydian clusters in left hand interspersed with right hand F♯M clusters. |
Songs of Joy and Rhythm op. 7 (1956) |
I: mm. 2–3 |
Winds opening chord has C♯-D bass semitone (m. 2), strings opening chord has F♯-G bass semitone (m. 3). |
Epitaph op. 12 (1958) |
III Antiphon: mm. 19–25 |
Entire work depends on major sevenths, culminates in a reduction in the viola at the work’s climax. |
Five pieces op. 13 (1959) |
V: m. 2 |
Chromatic clusters with some missing pitches, but always a bass semitone. |
Symphony no. 1 1959 op. 14 (1959) |
I: rehearsal 1; IV: rehearsal 25 |
Opening harmony has a M7 in the bass, inverted to a m2 at rehearsal 1; A-E open fifth in upper string, B♭ in bass. |
Monologhi op. 16 (1960) |
I: m. 6 |
After an introductory harp solo, the percussion enters with the first chord heard in the piece, D♯-E in the bass. |
Scontri op. 17 (1960) |
mm. 1–9 |
E phrygian cluster missing B until the last moment. |
Genesis I: Elementi op. 19 (1962) |
Rehearsal 1–4 |
Long chromatic clusters in cramped intervals. |
Genesis II: Canti Strumentali op. 19 (1962) |
Opening |
Long chromatic clusters in cramped intervals. |
Three Pieces in Olden Style (1963) |
I: mm. 1–4 |
Opening harmony, B-C-E-F. |
Choros I op. 20 (1964) |
Rehearsal 1–12 |
Chromatic clusters, always with a semitone in the bass. |
Musiquette I op. 22 (1967) |
Rehearsal 7 |
The first time the two trumpets are not in unison (or octaves), they form a semitone F♯-G. |
Musiquette 2 op. 23 (1967) |
Rehearsal 42 to end |
Pianos playing semitones in the lowest register of the instrument. |
Old Polish Music op. 24 (1969) |
Rehearsal 71 |
Bass and cello parts. |
Cantata for organ op. 26 (1968) |
mm. 109–113 |
Semitone breve underneath rhythmic action in manuals. |
Musiquette 4 op. 28 (1970) |
I: rehearsal 2 5 |
Pianist plays diatonic clusters a semitone apart. |
Ad Matrem op. 29 (1971) |
Rehearsal 26 |
C phrygian cluster. |
Two Sacred Songs op. 30 (1971) |
I: mm. 1–6 |
C-D♭ in piano and voice. |
Three Dances op. 34 (1973) |
I: Rehearsal 2 4 |
E-F semitone in multiple instruments, repeated. |
Symphony no. 3 Symphony of Sorrowful Songs op. 36 (1976) |
I: mm. 330–333, 603–605; II: m. 42; III: m. 160 |
Phrygian line in soprano song, close of first movement; planing major seventh chords climax; planing major seventh chords. |
Beatus Vir op. 38 (1979) |
mm. 1–4 |
C minor to B major, but C lingers too long. |
Harpsichord Concerto op. 40 (1980) |
II: m. 25 |
First harmonic shift. |
My Vistula, grey Vistula op. 46 (1981) |
m. 1 |
In F major, basses sing A for the entire piece, often clashing with a tenor B♭ . |
Ach, m j wianku lewandowy op. 50 |
IV: m. 1 |
Almost all phrases end on a 3rd inversion Cmaj7 chord, B-C in the bass and tenor. |
Idzie chmura, pada deszcz op. 51 |
Bass entrance |
Third inversion seventh chords. |
Lerchenmusik op. 53 (1986) |
m. 1 |
Opening cello melody. |
Five Marian Songs op. 54 (1985) |
III: mm. 1–4 |
Tonal major seventh chords in third inversion. |
O Domina Nostra op. 55 (1985) |
m. 135* |
D phrygian cluster. |
For You, Anne-Lill op. 58 (1986) |
mm. 3–4 |
Flute line (E-D♯) against piano E octaves. |
Aria op. 59 (1987) |
mm. 1–3 |
Opening tuba line (C-D♭-C-B) against piano C octaves. |
Little Requiem for a Polka op. 66 (1993) |
II: m. 1 |
A minor chord in piano while orchestra melody is G♯-B♭ |
Three Fragments to Words by Stanisław Wyspiański op. 69 (1996) |
II: m. 30 |
Minor ninth primary motive and harmony. |
Sanctus Adalbertus op. 72 (1997-2000) |
II: mm. 1–8 |
Choir in D♭ major above piano A-B♭. |
Little Fantasia op. 73 (1997) |
mm. 72–83 |
F major seventh chord in third inversion. |
Five Kurpian Songs op. 75 (1999) |
II: m. 1 |
Each phrase begins with basses on A and tenors on B♭. |
Quasi una Fantasia op. 78 (2002; string orchestra arrangement of op. 64) |
IV: m. 239 |
While upper parts play a B♭ M6 chord, the double basses play a C♯ against the cello D. |
For Jasiunia op. 79 (2003) |
II: mm. 7–8, 11 |
Tonal major seventh chords in third inversion. |
Kyrie op. 83 (posth. 2013) |
m. 1 |
Opens with piano A-B♭-C cluster at the bottom of the keyboard. |
Symphony no. 4 Tansman Episodes op. 85 (2006-2009, posth. 2015) |
IV: mm. 160–167 |
Primary collection of symphony: A minor triad with B♭ and G♯. |