Toru Takemitsu's Valeria1
Deborah L. O'Grady
In European art everything is built from small cells - the edifice is constructed like a piece of architecture - but orientals see a hill then hollow it and remove the non-functional elements, those which don't follow the line of their inspiration. They realize their creation on the basis of a whole which already existed.2
Much of
the music of Toru Takemitsu is concerned, aurally,
with the interpretation or representation of nature and natural events. From
the "sound the wind makes when it blows through a decaying bamboo
grove" in November Steps to the rising, cresting and falling away
of sound in Waves, natural phenomena are described, interpreted or
suggested. It would be a grave disservice to the composer and his music to
look no deeper than this beautiful surface, for underneath it run the currents
of both Western (i.e., European-American) contemporary compositional procedures
and traditional Japanese musical practice. In order to better understand Takemitsu's comment on the sculptural approach to form as
well as his relationship to traditional forms of Japanese music, it is useful
to compare his work Valeria, written in 1965 for two piccolos, violin,
cello, guitar and electric organ, with some aspects of gagaku,
the "elegant music" of the Japanese Imperial Court.
An initial hearing of Valeria will probably not evoke
an image of gagaku. The piece is
complex both rhythmically and harmonically. Nor will a first examination of
the score produce such a reaction. The reason for this is straightforward
enough: Valeria is not "imitation gagaku."
It seeks to explore and invoke essences of the gagaku
tradition in an entirely contemporary idiom. In fact, the
The
work is sectional, and most of the six main sections are delineated by the
contrasts specified above. The first is an introductory metered section using
only violin, cello and guitar in a fast, complex rhythmic style. This is followed
by active sections "as fast as possible" which alternate with
contrasting slow, sustained chords. The return to metered writing adds the
piccolos to the ensemble. This section is interrupted by a slow section, "senza tempo", in which the electric organ is
introduced. There follows a central section of only sixteen measures of metered
writing using all of the available forces. Organ and strings close the piece in
a second slow "senza tempo". These sections
are not labeled by rehearsal numbers in the score but are easily identified by the
following indications: 1
q
= 120 ; 2. Senza Tempo ; 3.
q
=
120/132 ;
A clue to Takemitsu's interest in the musical traditions of Japan is provided in the following excerpt from his essay entitled "An Imaginative Approach to the Genesis of Musical Structure:"
When I incorporated the use of
traditional instruments in my own compositions, I was impressed with the
realization that their sounds have their own integrity and deep inner history.
Was my music to revive such history steeped sounds in a contemporary setting?
Or should I try in my musical thinking to merge with such sounds: I wanted to
do both but I am not sure I succeeded.3
While this quotation does not refer
specifically to Valeria it does reflect a larger musical interest.
The essay closes with an open-ended reference to the future:
Without lapsing into such silly slogans as "blending East and West," we should listen to that (traditional) music because human beings have been living with those different musical traditions. We should stand in wonderment at the fact that such old traditions sound so fresh to us today. After that we can face the problem.4
A second factor suggesting the gagaku model
in particular is the discovery of another of Takemitsu's
works, Distance,
for solo oboe and she)", in
which he has allowed for the substitution of electric organ for the sh5, an
instrument traditionally associated with the gagaku ensemble.
Many musical elements bear out
the possibility of a relationship between gagaku and
Valeria. The
first of these is the idea of structural symmetry. Both Robert Garfias and Peter Salemi feel
that structural symmetry is evident in nearly every extant gagaku composition.5
This is evidenced in the equally divided phrase
structures of two beats plus two beats, four beats plus four beats, etc., and
in the tendency of a gagaku composition
to divide in half. There is an historical precedent for this symmetry, as the
music was originally imported from China where it was connected with an important ritual requiring dancers to repeat certain
gestures at all four points of the compass.
The primary generator of structural symmetry in Valeria is a large scale pitch and rhythmic structure in which the materials of an entire section are repeated in retrograde. This process begins on page three of the score at the entrance of the piccolos. Those eight bars are repeated in retrograde beginning at the top of page six. It does not include the last bar on the page (see Example 1). Two sections marked "senza tempo - slowly" found on page four and seven of the score make up the second mirror structure. In Example 2, the beginning and ending of these sections are marked into the score.


Example 1: The First Retrograde Structure (Valeria pp. 3 and 6)


Example 2: The Second Retrograde Structure (Valeria pp. 4 and 7)
When these two mirror sections are plotted out graphically, as in Figure
1, it becomes apparent that this is not a perfect symmetry in itself. (A perfectly symmetrical structure would be AB-BA.) It does, however,
set off an entire section of the piece as a center. (Other elements which help
to "frame" this area will be discussed later.)

Figure
1: Graphic representation of symmetrical structures
in Valeria.
While not a pervasive technique, there does appear to be a tendency toward symmetry on smaller levels of detail. Example 3a is a reduction of the first harmonic unit in the piece showing its symmetrically arranged intervals. From this original unit most of the harmonies in Valeria may be derived simply by inverting, transposing or omitting pitches (Example 3b).

Example 3a & b: Original and derivative harmonic units in
Valeria.
In order to see just how much of the music is generated from this original harmonic unit, I have analyzed the first phrase for all related pitch groups. They are labeled a, b, c, d and are enclosed by a dark line. (See Example 4, p. )

Example 4: Analysis of harmonic units in the first phrase of Valeria
Since Takemitsu has taken care to set off a
central section with such a formidable frame, one expects that it is somehow
special or unique. A more complete examination of the section reveals its
function as a formal center. Aspects of this are:
1.
The section commences exactly halfway through the
piece (in the actual duration of the piece).
2.
It is the only section which is of
moderate tempo:
e = 84 as opposed
3.
The pitch content of the piccolos in the first
measure of this section is the first indication that the materials will appear
in another (retrograde) context.
4. The first two measures of this section are the only instance of the organ participating in the melodic aspect of the piece.
5. The string parts in the third and fourth measures of this section are a direct reference to the first "senza tempo" section. This is the only instance in which such a reference is made.
6. Melodic materials in the slow sections (see Example 2) appear in the fifth and sixth measures of this section in a stretto-like fashion. It is their only appearance in the context of the contrasting faster tempo. All of the above may be seen in Example 5


Example 5: The structural center of Valeria
Thus a series of cross
references is set up in this section which links all previously heard
materials. Formal patterns in gagaku,
according to Garfias,
are "created by individual highlights within a single musical experience
which recall other such highlights in the same experience."6
In this context, structures of retrograde material and a section built on
referential material create one of the strongly audible formal traits of this
composition.
There are other formal
considerations which link Valeria to
gagaku.
Certain special compositions associated with
dance, generically labeled
Bagaku,
exist which are sectional and depend on the
presence of timbral groups for their structure. These
are known as
chōshi
and their style is known as
kake-buki.
Figure 2 is a simple diagram of a popular
chōshi
known as Hyōjo
Chōshi.7

Figure 2: The structure of Hyōjo Chōshi.
Valeria also depends on the presence of timbral groups for structure. The following block diagram
shows how this structure is achieved. Included in this diagram are the
previously determined pitch/rhythmic structures in order that it may be more
clearly seen how timbral structures reinforce the
other elements. For the most part these timbral
groups are autonomous in that they function in certain ways which do not change
substantially during the piece.

Figure 3: The timbral
structure of Valeria.
The stringed instruments, guitar, violin and cello, are the central timbral group because they are always present in the texture. Their function as an autonomous group is controlled by the guitar, the instrument with the most physical limitations. Writing for violin and cello conforms to these limitations by using primarily short note values, less resonant modes of playing such as harmonics, non-vibrato and sul ponticello, and a complex rhythmic interrelationship wherein individual lines are almost impossible to hear out. They share in the exploration and delineation of harmonic units as well (see Example 4).
Piccolos are the second timbral
unit to be added to the ensemble. Their tessitura is consistently extremely
high, with rhythms limited to thirty-second note patterns. (See Example 1) As
in the strings, these parts are written in an interlocking fashion. This is
either quasi-imitative or a hocket-like procedure in which
material is developed linearly as opposed to the moving between harmonic and
melodic exposition as in the strings.
The final member of the ensemble to be heard is the electric
organ. Its function is strictly harmonic, with the exception noted in the above
discussion of the center section of the piece, and it
is usually sustained - a marked contrast to the other two groups.
In what sense might such a timbral configuration be construed as a sculptural approach
to sound structure or composition? The following from Garfias
may help to shed some light on this:
The Gagaku novice is always quite surprised to find
after carefully mastering the notation systems and learning to play a few
pieces according to this notation, that in actual ensemble the first part of
the composition is always omitted in all parts except that of the fue.8
Implied in this statement is a subtractive compositional process; all elements
are thought of as existing simultaneously. The piece is then shaped by the
selective removal of elements, their presence in the composition finally
providing directly discernable structural information. This is not the same
approach as might be found in a composition which is composed first and
orchestrated later, the orchestration being a more coloristic
element. It is a simple matter to apply this "subtractive" perspective
to
Valeria given the autonomy of the timbral units.
William MaIm adds to this
consideration in his discussion of the aural qualities
of gagaku.
He says:
Much Japanese music has this
chamber music quality regardless of the size of the ensemble. It is also
chamber-like in the sense that the individual instrumental lines are designed
to be heard separately, rather than merged as they are in the Western
orchestra.9
Analogies between gagaku
and Valeria
exist on
many other levels. The most striking similarities are:
1. The instrumentation of gagaku is generally divided among distinct timbral groups which perform varying functions in the musical context. They are classified as winds (subdivided into non-reed and reed instruments, e.g. fue and hichiriki, or flute and oboe-like instruments), strings, percussion, and shō., a special type of wind instrument which is a mouth organ that performs a primarily harmonic function. There is evidence, as discussed earlier, that Takemitsu finds a relationship between shō and electric organ.
2. The way the instruments function within the musical context is heterophonic. The shō provides the harmonic matrix for the melodic instruments which then heterophonically realize that harmonic potential. If the organ is considered as an analogue to the shō, it can be seen as having this type of harmonic matrix function for the strings and winds. Example 6 represents a partial exploration of this possibility.

Example 6: The harmonic matrix function of the organ.
3. There is at least a casual relationship between the cluster-like chords available on the shō, which in the traditional repertoire are limited to ten, and the chords of the organ part in Valeria. Example 7, below, names the ten shō clusters and compares them with a few of the verticals found in the organ part. Several tendencies may be identified as common to both. The major second is always present within the group, the interval of a fifth seems to play an important role (in the case of gagaku, it is the generating interval for all of the verticals), at least two triads are either implied or present in the vertical, and all of the groups tend to be in a closed as opposed to an open spacing.

Example 7: Harmonies in gagaku and Valeria
4. The biwa, a Japanese lute, is generally confined to a "colotomic" (defined by Malm as "any device which divides music into temporal units") function in gagaku, playing rather stereotyped melodic phrases and arpeggios. Example 8 presents an example of typical writing for biwa in gagaku and an excerpt from Valeria.

Example 8: A comparison of biwa and guitar
writing.10
5.
The use of piccolo in Valeria
may be thought of as a timbral analogue to the fue,
a
small, rather high pitched
flute used in gagaku.
The role of the fue in a gagaku piece is that of a main melodic
instrument. If one examines a number of gagaku transcriptions it may be seen that the fue quite often doubles the hichiriki,
a double reed instrument, and provides ornaments for the melodic line. The hichiriki is very loud and easily dominates
the gagaku ensemble, relegating the fue to timbral
reinforcement and melodic embellishment functions. It is quite appropriate to
apply this generalization of role to that of the piccolos in Valeria,
since their high
thirty-second note patterns are much too fleeting to be analyzed by the ear in a concrete melodic
or harmonic fashion. They seem, rather, to reinforce and embellish the main
material of the strings. Example 9 is an excerpt from the gagaku piece Yahanraku, transcribed by Robert Garfias, showing this doubling and embellishing role and a
section of Valeria (Example 10) relates
piccolo pitches to the harmonic field present in organ and strings.

Example 9: Excerpt from Yahanraku

Example 10:
Embellishing roles of fue and piccolo.
6.
In certain sections of Valeria, especially the opening
page of the score, the cello plays melodies that are predominantly harmonics.
This timbre is particularly flute-like and has been used by Takemitsu on other occasions, especially in his string
quartet Landscapes. This could be
a reference to the shakuhachi, an end blown flute. While this instrument is
not a part of the "modern" gagaku ensemble, it was a member at an earlier time. Only
the composer himself could provide this information; it is mentioned as a point
of interest in this cross-cultural analogy.11
7. Phrases in gagaku are based on flexible breath rhythms as opposed to metronomic rhythms in which a definite beat is present.12 Phrases in Valeria are similarly constructed, although phrasing in the slow sections seem to deliberately defy this and extend beyond the breath length. In a conversation with Peter Salemi, I was fortunate enough to learn that the breath plays an integral part in the performance of gagaku and that part of learning the music is knowing exactly where to breathe. Usually these breaths coincide with the symmetrical phrases; that is, a player may breathe out for two beats and then breathe in for two beats, as in the case of the shō). If the phrase involves lengths of three or foul' beats, then the "in" and "out" motion of the breath will correspond to these structures.
There are many areas of analytical interest which have been
deliberately left untouched in this paper. In fact, this analysis represents
only the tip of the iceberg as far as the compositional expertise of Takemitsu is concerned. The important issue that I have
tried to suggest is that the possibility exists for cross-cultural
fertilization which does not result in "ethnic" sounding music but rather
has a universal and thoroughly contemporary appeal. Valeria reveals the
beauty and depth to which this idea might be taken. Its formal structure is unique,
growing out of the music itself, and its relationship to the traditions of Japan
are integrated into the musical structures rather than being surface imitations
of a traditional music. This piece certainly represents the achievement of the
"blending of East and West" in a very unsilly
and artful way.
1 All excerpts from Takemitsu's Valeria are reproduced with permission from Universal Editions and European American Music Distributors as follows: (c) Copyright 1973 by Universal Edition (London) Ltd., London used by permission of European American Music Distributors Corporation sole U.S. Agent for Universal Edition (London) Ltd., London.
2 lnterview with Toru Takemitsu in Music and Musicians May 1973.
3 Takemitsu, Toru; translated by G. L. Glasow; "An Imaginative Approach to the Genesis of Musical Structure"; unpublished, in the author's possession.
4 Ibid.
5 Garfias, Robert; Music of a Thousand Autumns (Berkeley: U. C. Press, 1975), p. 81.
6 Ibid., p. 284.
71 was unable to find a transcription of this particular choshi. It was described to me by Peter Salemi. One of similar structure is transcribed in Garfias' book, page 190-198.
8 Ibid,
p. 72.
9 Willsam Maim; Japanese Music and
Musical Instruments (Tokyo: Charles B. Tuttle Company, 1959) p. 265.
10 All
examples from Garfias' Music of a Thousand Autumns
with permission from U. C. Press, Berkeley, CA.
11 In a conversation with George Arasimowicz, Mr. Takemitsu stated that his use of cello harmonics in Valeria is not a reference to the Shakuhachi. [EcA
12 Garfias, Music of a Thousand Autumns, p.
128.