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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. inspiration. They realize 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 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 explore and invoke essences of the gagaku tradition in an entirely contemporary idiom. In fact, the first clearly discernable aspect of the piece is that of extreme contrast in a thoroughly contemporary sty!e: tempi are either extremely fast or "senza tempo" (as fast as possible or very slowly); dynamics are likewise "almost as quiet as possible" or ff and and sf ; instrumental ranges are explored in their extremes: rhythms are complex, complex, angular and unpredictabl unpredictable e or sustained and sensuous. sensuous. 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: 1 120 ; 2. Senza Tempo ; 3.
= 120/132 ; 4. Senza Tempo ; 5.
=
= 84 ; 6. Senza Tempo. Tempo.
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 http://www.ex-tempore.org/valeria/valeria.htm
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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.
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Example 1: The First Retrograde Structure ( Valeria pp. 3 and 6)
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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).
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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:
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. The first two measures of this section are the only instance of the organ participating in the melodic aspect of the piece.
4.
= 84 as opposed to
= 120/132.
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
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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
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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 ch! shi and their style is known as kake-buki . Figure 2 is a simple diagram of a popular ch! shi known as Hy ! jo Ch ! shi.7
Figure 2: The structure of Hy ! jo Ch ! shi.
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 hocketlike 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:
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