a set-theoretical/formal analysis of scena iii (1977) · a set-theoretical/formal analysis of ......
TRANSCRIPT
A set-theoretical/formal analysis of Richard Rodney Bennett’s Scena III (1977)
for solo clarinet
…Then shall I turn my face, and hear one bird
sing terribly in the lost lands…
E.E. Cummings
1
Introduction
Bennett’s Scena III is a comparatively extensive work (8¼ minutes) that contains
numerous thematic ideas, but seems almost dominated at times by its opening
intervallic theme outlining a minor third. If one considers the text on which this
piece is based1, the opening (5-4) theme is particularly symbolic as it implies a kind
of ‘bird-song’ (fig. a); it also contributes to reinforce the text’s message of ‘one bird’.2 Figure a
One of most noticeable qualities of Bennett’s clarinet piece is its almost
improvisatory quality. The musical substance seems to obtain increasing dimensions
and therefore its structure could be best described as an ‘evolving’ one. A prominent
example of this can be seen on the first page (fig. b) where Bennett places diminuted
prefixes/suffixes of musical fragments around the principal ‘bird-song’ theme.3 Figure b
1 See quote by E.E. Cummings on the previous page. 2 Although one may argue there are elements in this piece where the symbolism extends to a flock of birds calling each other - such as the start of Doppio movimento section where contrasting registers and dynamics reinforce this possibility. 3 Upon closer analysis, this feature reveals itself not so much an arbitrary choice as it is an intricate methodology (see the next section).
2
Bennett’s work is continuous but can be subdivided in to five or six fundamental
sections, partitioned clearly by double-bar lines. However, in essence, Bennett’s
`formal structure is merely an elaborate ternary-form.4 In some respects, each
section has its own formal pattern – or method of working - and, where relevant, I
will address these. Owing to the absence of bar numbers and the natural evolving
nature of this work, I have adopted a chronological approach to analysis using page
and system numbers as references.
Although from some perspectives, a pc-set analysis has highlighted features that
were not apparent from a formal analysis, it has not always been necessary to
understand these relationships to see how this piece actually works. For instance, the
Forte reference that identifies the ‘bird theme’ does not need its label for one to
identify it and note its existence. Due to the length, depth and complexity of this
piece, pc-set analysis has provided answers to and sought new interpretative ideas in
situations where formal analysis may have failed.
4 Of course, in reality this is a naïve interpretation of its formal units, but is a useful generalisation.
3
Appassionato (p. 8 and 9 of the score)
The primary thematic material (5-4) is stated in this opening phrase. The opening
tones of ‘B’ and ‘D’ prove fundamental – not only throughout this section and at the
end5 - but also in other gestures made during the course of the piece which identify
with this. The minor-third usage is particularly prominent, as is the fast alternation
of these notes, notated rhythmically as an acceleration. Bennett is almost fastidious
in connecting the ‘B’ and ‘D’ as the primary units of the ‘bird-song’, and refuses to
use transposing techniques in this section.
In the introduction, I highlighted the manner in which the musical substance obtains
increasing dimensions and one can clearly illustrate this concept by analysing the
first two pages. It is noticeable that Bennett’s opening ‘bird-song’ (5-4) theme is
repeated a number of times through the course of this section; with each succession
prefixed with a more elaborate rhythm and melodic notion. However, these prefixes
are interesting in that they reveal more than can be audibly appreciated.
For instance, the (6-Z36) in system 2 (fig. c) contains pitch content that is
complimentary to the (5-4) theme, excluding only the note ‘C’. Nevertheless, after
the second hearing of the (5-4) theme, the note absent from the previous
complimentary set (‘C’) is the first to be found in the next seven note prefix (system
3).
5 Compare this with the final movement (Molto Tranquillo) and notice how these restatements of the notes ‘B’ and ‘D’ permeate the surrounding elements.
4
Figure c
From the seven-note prefix at the end of system 3 (last line shown above which uses
sets 3-5 and 5-1) - combined with the reiteration of the (5-4) theme and the
conclusive (5-1) set - all 12 semitones are in evidence (shown in green in fig. d).
From the end of system 5, set (4-11) is repeated twice (although with new notes) and
along with set (3-3) which makes gestures to the opening, Bennett has utilised ten of
twelve pitches (missing only the pitches D# and F#). The next ‘deemed’ phrase,
which uses sets (4-13), (4-1) and (4-13), includes all twelve pitch-classes.
5
Figure d
green denotes complete 12 pitch set blue denotes partially complete 12 pitch set
The next phrase is complete, albeit the G#. It starts with the set 4-5 (last set shown
above) and is followed by sets 4-18, 4-13, and 4-1 (fig. e). The next three phrases
also conform to a twelve-pitch specification. The last phrase (fig. e) is a nine-note
set, missing the notes D#, F# and G. These absentees remain, initially, inexplicable
– however, when these pitches are arranged in their prime form they reveal the set
(3-3). And the motif that commences the following movement uses this particular set
(3-3), despite using differing pitches.
Throughout this section, Bennett frequently places i.c.1 and 2 at their dissonant
extremes by positioning them as compound intervals, (this is later brought to
fruition in the sostenuto poco a poco agitato). The notes ‘B’ and ‘D’ continue to
permeate and make gestures toward the bird-song theme, despite the frantic
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hemidemisemiquavers that are juxtaposed. Figure e
7
If one compare the fifth system of page 8 of the score (fig. f) with the fourth system
on page 9 of the score (fig. g), one will notice that they both follow the same path of
pitches:
Figure f
Figure g
8
Doppio movimento, molto agitato (pages 10 and 11)
This section continues the fundamental ‘evolutionary’ concept further. Notice, in
particular, the way each phrase grows from the primary motivic cell of this section:
Interval classes (i.c.) 1and 2 are also in evidence. These extreme ‘dissonances’ are
often set apart by the octave and are matched in their extremity of pitch by
equivalent dynamic contrasts. One might attribute these contrasting dynamics and
changes in registers as a wider chorus of bird-calls.
There are numerous recurring cardinalities such as: (3-1), (4-1), (4-13), (4-Z15), and
(5-19), however, these seem conscious efforts rather than arbitrary coincidences
because the rhythmic unity and pitch content seem connected to certain sets. For
instance, with cardinal number of 5, often, the set utilised here will be (5-19) in a
quintuplet rhythm (fig. h). And the set (3-1) utilises almost exclusively the rhythm
of primary motivic cell:
Figure h
9
Interestingly, it is in this section that the most z-related hexachords are found:
(6-Z3/6-Z36), (6-Z4) and 6-Z49)6. Although comparison between these sets reveal
nothing upon hearing, and are not reducible to the same prime form, they share
matching interval content which is interesting from a mathematical/statistical
standpoint – particularly since they occur within such a close proximity.
(6-Z3) 0,1,2,3,5,6 433221
(6-Z36) 0,1,2,3,4,7
(6-Z4) 0,1,2,4,5,6 432321
(6-Z49) 0,1,3,4,7,9
Predominantly, Bennett emphasises three note references in this section – none of
which recalls gestures to the (5-4) ‘bird-song’ theme with any great authority, but
prove later to be significant. The first two notes occur at the top of page 11(of the
score) where Bennett repeats the notes ‘D’ and later still, ‘Eb’ with quintuplets, and
finally the ‘Gb’ on the fourth system. These seemingly arbitrary choices are, in fact,
augmentations of the primary motivic cell: (which, in the first occurrence, is the set
(3-3). Notice also how the pitch content is maintained. Gesture outlining the D-B ‘bird-song’ call
Throughout the entire piece, such uniformity is significant – not only in the use of
quintuplets (which are always a special occurrence) – but also the recurrence of pitch
6 The compliment of sets (6-Z4) and (6-Z49) is (6-Z37) and (6-Z28) respectively. Both of these compliments never occur in Scena III.
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properties reveals a deliberate methodology. Towards the end of page 11 (of the
score), Bennett retraces the same pitches as those towards the end of the first system
on page 10 (fig. i). This follows a similar initiative as in the opening, although it is
not possible to hear the significance of this correlation.
Figure i
Retracing of pitch sequence
11
Sostenuto, poco a poco agitato and Liberamente (page 12/13)
This ‘movement’ represents the expected ‘slow’ part of the work. The abundance of
pitch class (3-1) is particularly prominent, as is the recurring ‘E-F’ interval,
frequently stated in its original register.7 However, the significance of this might be
attributed as a retracing of the final notes of the initial (5-4) theme:
B D E F Eb
It is in this section of the work (fig. j) that the (melodic) dissonant count is at its
highest with recurrent properties of i.c. 1. The tessitura is extensive and regularly
varied.
Figure j
7 The importance of the note ‘E’ is emphasised by the concluding of the previous movement on this note.
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The liberamente (fig. k) demonstrates the potential for the return of the initial (5-4)
‘bird-theme’ with its outlining melodic contour of the ‘minor third’ (firstly with the
notes: ‘Bb’ and ‘G’, followed by: ‘Eb’ and ‘Gb’), supported by its correlation in
rhythm. However, Bennett uses these notes merely as suggestive, reminiscent ‘calls’
before the ‘B’ and ‘D’ alternation of the bird’s call which follows confirms our
suspicions with its return.
Figure k
The remaining material of the sostenuto (fig. l) (prior to the con fuoco) shows a
continuation of the fundamental ‘E’ – ‘F’ intervallic relationship that started off this
section. This ‘recalling’ of events or features is now a common trait in this work. Figure l
13
Con fuoco (p.13)
The con fuoco (fig. m) is an extensive section that continues the fundamental
‘evolving’ characteristic, as well as demonstrating two gestures previously
illustrated: The first being the outlining and ‘working’ of the ‘minor third’; and the
second, the setting of the property of i.c. 1 across the octave. It is also the only part
of the work that employs bar-lines. The initial (4-13) set of eight semiquavers states
the primary motivic source (re-emphasising the ‘minor third’), and, as before, gains
dimensions with each succession. Notice also the manner in which pitch content
(whether utilising (4-13) or any other set) is organised in a ‘minor third’
configuration. The quintuplets repetitions, incidentally, establish a new tonal
reference prior to a successive ‘minor third’ outline. Figure m
At the top of page 14 (of the score), the frequency of i.c. 1 is considerable and
regularly placed as compound intervals. There are four occurrences of the set (8-13)
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- and despite using different pitch properties – the gestures made at the start of these
phrases (i.e. i.c. 1 compound intervals) establishes their significance and cohesively
structures the piece.
The brillante section (at the bottom of page 14 of the score) recapitulates (almost
exactly) the start of the con fuoco (fig. m) by using the primary motivic cell and its
rhythmic sequence in a similar manner (via its increasing dimensions). The sets,
generally, are different; however, some correlations are to be found – although these
are not at all surprising considering its position (ref. recapitulation-like).
Tempo I (page 16)
Tempo I (fig. n) recalls the (5-4) ‘bird-theme’ using the notes ‘C’ and ‘E’ as its
alternating pivots, and not the notes ‘B’ and ‘D’ as previous (fig. o) The theme only
appears twice (although there is reminiscence at the top of page 17 (of the score),
during the hexachord set (6-Z42), juxtaposed with passage-work. The sets and the
rhythmic/melodic material reveal little similarity with the opening suitable for
comparative examination, except its common increasing dimensions.
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Figure n
Molto tranquillo (p 17)
The juxtaposing of sustained medium-high ranged notes between quicker groups is
a significant observance (fig. o). But more importantly, the length and pitch of the
notes: ‘D’ and ‘B’ pervade their surrounding elements for structural reasons; since
they represent the ‘bird-theme’s’ initial call – the foundation for this work.
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Figure o
The hexachords (6-Z3) and (6-Z36) occur as intermediate sets between these
descriptive calls.8 It is plausible that Bennett had selected ‘B’ as the primary tonal
centre since the unifying (5-4) theme utilises this reference and the final note pauses
on this note also. Moreover, throughout this final section, Bennett evokes the first
two notes of the now, distant, call.
Conclusion
Although the work is primarily based on the (5-4) theme around B/D; all
movements have their own individual tonal reference. For instance, the opening
Appassionato primary concern was with the notes ‘B’ and ‘D’ (although towards the
8 Despite showing some similarity in pitch and rhythmic properties they are, in fact, complimentary sets.
17
end this was not the case). The next section (Doppio movimento) continued from the
‘D’ with a short motif (comprising D, Eb, and F), which was later augmented as
further references. However, it then concluded the movement on the note E. The
Sostenuto then made emphatic statements with the intervallic relationship of ‘E-F’, as
compound intervals. The con fuoco, initially, favoured the note G, and occasionally
reiterated the original motivic/melodic arrangement; but the brillante had a
partiality for the note ‘Gb/F#’. Thus, these six notes show Bennett’s formal plan
demonstrating an expansion of the hexachord: (6-Z36).
D B Eb E F Gb
4, 7, 3, 2, 1, 0
0 1 2 3 4 7 = (6-Z36)
This hexachord is one of the first prefixes to the ‘bird-theme’ on the first page, but it
also occurs reasonably frequently during the course of the piece. This ‘bird-theme’
demonstrates the nucleus of the work (or localised scale plan) that Bennett augments
on a structural scale. Of all the hexachords, (6-Z36) reveals itself as the strongest
referential set in the set complex (see following page) and possibly substantiates that
this is a nexus set for the structure as a whole.
As to whether the (5-4) ‘bird-theme’ is the primary set, or whether joint with the (6-
Z36) they are one of two nexus sets, is questionable. However, considering how the
set complex reveals (5-4) to be a strong candidate (and the fact this set is a sub-set of
the hexachord, (6-Z36); or a superset the opposite way round), it would seem that
our initial suspicions of the importance of the ‘bird-song’ could be substantiated.
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Set complex relations
3 4 5 6 7 8 9 3-1 4-1 5-1 6-1 8-1 9-1 3-2 4-2 5-2 6-2 9-2 3-3 5-3 7-3 8-3 9-3 4-4 5-4 7-4 8-4 3-5 4-5 5-5 8-5 9-5 5-6 3-7 4-9 8-9 7-10 9-10 4-11 5-11 6-11 7-11 8-11 4-13 8-13 7-16 7-Z37 8-17 4-18 5-19 4-20 8-20 4-23 5-29 7-29 6-Z3 6-Z4 5-Z36 6-Z36 6-Z41 6-Z49 6-Z50
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