A composer viewing this century's music. [UCSD Lecture IV]
Abstract
Im Jänner und Februar 1970 war Ernst Krenek Regent’s Lecturer an der University of California, San Diego, wo er eine Serie von vier Vorträgen hielt unter dem übergeordneten Titel: „A Composer Viewing This Century’s Music“. Die Vorträge wurden jeweils Mittwoch abends gehalten und waren einer weit gespannten Themenpallette gewidmet.
Kreneks vierter und letzter Vortrag als Regent’s Lecturer an der UCSD, gehalten am 11. Februar 1970. Entlang seines eigenen Schaffens ab seiner Oper Karl V, op. 73 erläutert Krenek kompositorische Entwicklungen der Zwölftontechnik, die zum Serialismus und schließlich zu elektronischer Musik und Aleatorik und darüber hinaus führten. Insbesondere bei der Diskussion der post-seriellen Kompositions-Konzepten wird Kreneks Skepsis bezüglich der jüngsten Trends zeitgenössischer Musik deutlich.
To my knowledge I am the only one of the composers of my generation who has thoroughly and consistently practiced what is called “serialism", and I have been blamed a) for doing it at all, b) for doing it too late, and c) for still being at it.
In order to somewhat clarify my position I should like to begin by explaining what I understand by serialism. Discussing this concept today one easily feels like talking in a vacuum, for nearly all of the early practitioners of this manner of writing music have decided that it has become completely obsolete. But when these same composers developed the new ideas of serialism, they said the same things about the twelve-tone technique while still applying it in their new efforts. On the other hand we can read in up-to-date criticism early dodecaphonic music being re- ferred to as "serial".
As in so many cases, the confusion is due to non-committal throwing around hazily defined terminology. Nowadays it is - or should be - elementary common knowledge that the fundamental concept of the twelve-tone technique is the organization of the tonal material in a set of basic patterns prior to the act of de- veloping individual musical ideas from the material so preorganized, this act being what is understood by "composing music". The pre- organization of the material consists in arranging the twelve dif- ferent pitches (or "pitch classes" - for every pitch has a re- plica in each of the octaves we take into account) availabe in our tonal system in one of the millions of possible orders of succession. The chosen order, called twelve-tone row, or series, then becomes the model, mold, germ cell, fountain head, center of reference, store house, or what you may call it, from which all that happens in the piece of music is derived. On these grounds music so com- posed may be called "serial".
During the first two decades after
new technique, keeping it mainly to himself until his late American
years when he started discussing it in public, but above all, during
that period neo-classicism of Charles V.
To everybody's surprise it came to light at the end of World War II that knowledge of the technique must have spread so-to- speak underground in spite of the interruption of normal ways of communication, for suddenly numerous young composers turned up all over the world presenting dodecaphonic essays. The most important event, however, was the discovery that a new perspective had been brought into the picture.
It had started with the studies pursued by the French com-
poser, Ars nova of the fourteenth century when melodic configurations were
forced into pre-established rhythmic molds. Eventually
In parentheses we may notice that these ideas, as it frequently
happens with new notions of great consequence, were "in the air" and
ready to materialize wherever alert minds could sense them. The Amer-
ican composer,
phonic procedure, but nobody paid much attention to such endeavors.
While in
Eventually the idea of arranging series of discrete, numer- ically measurable values was applied to other, and possibly all aspects of the music: dynamics, register, density, timbre. The young composers introduced the term "parameter" to designate these variables. It is symptomatic for the general frame of mind of this generation that they loved to use in their theorizing a terminol- ogy borrowed from the exact sciences even when they did not under- stand it correctly, as was pointed out by horrified mathematicians and physicists. It reveals a tendency toward detaching music from traditional emotional implications that were felt embarrassing. This too has precedents. We remember that music in the mediaeval classification of the arts was listed among the sciences of pro- portion and measurement, instead of the arts of communication.
When after an absence of thirteen years I began to travel
to
I realized that in my Twelve Variations for pianoSixth String Quartet
the distribution of the forty-eight basic shapes of the twelve-tone row over the total area of the composition. This might be interpreted as foreshadowing serial procedure because here a so-to-speak abstract ordering of elements of the material other than single pitches is precompositionally imposed upon the overall design, determining in advance what configurations of tones will appear at certain points or areas. But at that time I seemed to have reached in these works a technical saturation point, and I did not continue on this track. As a matter of fact, during the 1940s I tested various meth- ods of relaxing the strictures of the twelve-tone technique, not foreseeing that a principle which I discovered in those essays and which I called "rotation" would become one of my most productive tools once I joined the serialists.
After my "relaxing" period I was obviously ready for a new encounter with that redoubtable complexity which seemed to be the most durable characteristic of atonal music, and I sensed that serial pre-organization of the parameter of time would produce new heights of complexity.
At the same time I became acquainted with the newly dis- covered potentialities for musical composition in the electronic medium. Apart from offering new, so far unheard-of sound qualities, its main attraction was the possibility of obtaining degrees of rhythmic accuracy that could never be demanded of even the best trained live musicians, and that certaily would lure composers in- tent upon complexity of texture and design.
In my first electronic essay - the first section of a
religious work Spiritus intelligentiae, sanctus
applying to the lenght of the whole interlude proportionately to fit the much shorter phrase units of the canon. The duration of sounds was expressed in centimeters of tape which in those days was running at the extremely high speed of 76 cm (30 inches) per second. At the beginning of the canon my "time series" showed spans of 48, 107, 59, 9, 80, 45, 8, and 156 cm, which, if com- bined with one or two more strands having similar time spans, results in a degree of rhythmic complexity that leaves little to be desired. If these stretches of tape are expressed in stan- dard clock time on the basis of 76 cm per second, we obtain the following time values: 0.63, 1.4, 0.77, 0.118, 1.05, 0.59, 0.105, and 2.05 seconds. Not only is it impossible to represent such a sequence of time values by means of conventional notation, or to devise for the purpose a manageable new notation, but above all accurate execution of these fractions of seconds is absolutely beyond the capacity of live musicians, whereas cutting 48 cm from a tape on which the first sound was recorded, 107 cm from the second tape, and so on, and splicing these pieces together is a childishly easy, if laborious and inordinately time-consum- ing operation.
Going one step further, I was looking for some principle
by which time values to be assigned to the sounds could be derived
from the twelve-tone row that was still considered the ideal
center of reference for the whole work, the powerhouse generating
all impulses that would innervate the remotest details of the
piece, the nucleus containing in empryonic shapes all Gestalt
to be developed in the course of the composition. To think of the
work as of a unified musical universe unfolding from one basic
figure according to one all-permeating law derived therefrom was
a philosophical concept inherited from the founding fathers,
hallowed and not subject to doubt.
Because time measurements had to be expressed in num- erical values it was necessary to find such values in the tone- row. The only feature of the row that obviously lends itself to
6.IV. the purpose is the intervals between the successive tones. These may be measured in terms of the half-steps they comprise (for instance, reading upward: D to F = three half-steps, namely: D to D-sharp, D-sharp to E, E to F; or D to A-flat = six half- steps, D to C-sharp = eleven half-steps), or by taking into ac- count the ratios of successive frequencies (2/3 for the fifth, 3/4 for the fourth, and so on). I preferred the first method because I wanted to write music for live interpreters and the second method seemed again to produce too complicated fractions. At the same time I was aware of the danger that a consistently straightforward coordination of tone- and time-patterns might lead to permanent recurrence of identical situations and thus create undesirable repetitiousness.
The solution was suggested by the principle of "rotation"
that I had tentatively developed years before. Since the term
"rotation" in later serial theory was used to describe certain
procedures involving graphical motions of notational shapes on
the music paper, my device should perhaps more correctly called
a special form of permutation. In my choral work, Jeremiae Prophetae
As pointed out earlier, this concept was meant to relax the rigidity of the twelve-tone technique, as I had known it thus far. In my new system of patterns I could occasionally use only those having the same six tones or, at will, add one or more of the other groups to enlarge my pitch resources. Thus I felt that I could develop a richer palette of harmonic hues, a greater variety of characteristic sounds than when I was forced to constantly use up all twelve tones, and yet remain faithful to the basic tenets of the technique. In other works of the 1940s I used this escape hatch by applying the rotational device to groups of less than six tones. Obviously this leads soon enough to giving up the twelve- tone mechanics entirely. The resulting music sounded "twelve-tonish" enough because my mind was steeped in this style through many years of practicing it. I came to the conclusion that arriving at this kind of "liberated" music was perhaps the real purpose of having experienced the stricter forms of dodecaphony.
When, in the 1950s, I felt the urge to undergo a new discipline,
it turned out to be much stricter than the old one. To begin with,
I elaborated on the idea of rotation, setting up derivative forms
of the series by having adjecent tones systematically switch their
places. To illustrate: when the original order of the tones was
1 2 3 4 5 6 7 8 9 10 11 12,
I would build a secondary row,reading
1 3 2 5 4 7 6 9 8 11 10 12
followed by
3 1 5 2 7 4 9 6 11 8 12 10,
and
3 5 1 7 2 9 4 11 6 12 8 10,
and so forth. If a mild pun is permissible, one might call this
procedure "progressive retrogression". I applied in an orchestral
composition
Only now I felt ready for total serialization of all para-
meters. In 1957 I was invited to hold the Christian Gauss Seminars
in Criticism at the University of Princeton, and when I discussed
serial composition, Professor
all sessions, brought to my attention the ancient poetic form of the
sestina, which I had not known. It fascinated me a great deal, and I
decided to use this model of poetic structure as a diving board for
the plunge I had myself prepared for.
The sestina is a poem of six stanzas, each of which has six
lines. The words that stand at the end of the lines are the same in
each stanza, but their order of succession changes. If it is in the
first stanza
1 2 3 4 5 6,
it will be in the second
6 15 2 4 3,
in the third
3 6 4 1 2 5,
in the fourth
5 3 2 6 1 4,
in the fifth
4 5 1 3 6 2,
and in the last
2 4 6 5 3 1.
It is easy to see that one more application of the same switching
principle will lead back to the first sequence.
The music of my Sestina is based on a twelve-tone row divided into
two groups of six tones each:
The durations of the tones of the whole composition are derived from these magnitudes in the following manner: each intervallic magnitude corresponds to a time segment which contains as many basic time units as the interval figure indicates. Consequently the first time segment has four units, the second three, etc. Each segment has as many tones as it has units (4, 3, etc.). The duration of the individual tones is determined by a subdivision based on the same serial sequence of magnitudes. If the first segment contains four units and four tones, its subdivision is based on the first four values of the original series: 4 3 1 6. The sum of these being 14, the subdivision unit within the first segment is 4/14. The durations of the individual tones within the first segment are determined by-multiplying 4/14 consecutively by 4, 3, 1, and 6. The
9. IV.durations,then, are 16/14, 12/14, 4/14, and 24/4 of the basic value.
To facilitate computations each basic unit is assumed to contain ten micro-units. We arrive at the subdivision of the first segment by dividing 40 (four times ten) by 14. The result is 2.85. This number is multiplied consecutively by 4, 3, 1, and 6. The results are 11.40, 8.55, 2.85, and 17.10. If the work had been realized in the electronic medium, these values could be produced with utmost accuracy. Because it was conceived for live performance, the time values were adjusted as follows: 11.5, 8.5, 3, and 17. If the small- est numerical unit (0.5) is represented by a thirty-second note, the rhythmic shape of the first four tones is:
(Actually in my composition these time values are much shorter because other serial considerations entered the computation; the pro- cedure is far too complcated to be demonstrated here. Another marginal remark: contrary to common belief, knowledge of higher mathematics is no prereqisite for this kind of work, only infinite patience. Some of the results are so startling as to be found rewarding.)
"Density" is the next parameter to be determined serially. There
are six degrees of density In "density 1" two tone-groups run off
simultaneously, the durations of the individual group being determ-
ined by the mechanism described above. In "density 6" twelve such
starnds run off at the same time. Another parameter regulated serially
is the location of the tones within the gamut of six octaves design-
ated as the ambitus of the work.
The structural layout is so devised that each "rotated" version
of any six-tone group will combine once with every other. Thus the
music of the first stanza is based on the first statement of the
A-group, which in each subsequent line of the stanza is combined
with one of the forms of the B-group rotated from B 1 to B 6. The
second stanza has A 2, combined again with all B-groups, but now in
a different sequence, according to line 2 of the sestina pattern:
B 6, B 1, B 5, B 2, B 4, B 3; and so forth.
It is characteristic of all these operations that systems of constant magnitudes are constantly and according to plan combined with constantly changing sets of magnitudes so that constantly new situations arise. Whatever happens in the course of the work is the result of predetermination, but at the same time, because of its com- plexity, largely unpredictable, except perhaps by feeding the rele- vant information into a computer. To illustrate: if the succession of tones is determined by serial regulation (as is the case in the "classical" twelve-tone technique) and, in addition to this, the timing of the entrance into the musical process of these tones is also predeterminated by serial calculation, it is no longer possible to decide "freely" (that is, by "inspiration") which tones should sound simultaneously at any given point. Whatever happens in this parameter, is a product of the preconceived serial organization, but by the same token it is a chance occurrence because it is as such not anticipated by the mind that invented the mechanism and set it in motion. The unexpected happens by necessity.
The dialectical cohabitation of predetermination and chance
appeared to me as one of the essential features of serialism in
music. It is the dominant ides of the poem that I wrote for my
Sestina, and it has haunted me ever since. Having tasted blood,
I applied what I had learned in the
with a vengeance in an orchestral work with the Latin titleSestina
Quaestio
temporis
, but they are more involved. Many of these intricacies are due to exploiting the arithmetical implications of the numerical difference between 11 and 12, for in this work I used a tone-row that not only included all twelve pitch classes, but also all eleven intervals available within an octave.Sestina
The idea of the "all-interval" series had preoccupied me ever since I started working in the twelve-tone technique, and I con- sulted many mathematicians about a formula for constructing such tone-rows. They usually smiled indulgently at so elementary a problem, then declared that it would take a little more thinking, and after that were not heard from again. The problem has been solved by some
11. IV.
elaborate mathmatical operations described by
One of the most important insights gained from my serial work was that this technique radically changed the character of our music. Since music in the age of the Renaissance had acquired communicative functions, listeners developed the habit and consequ- ently the urge to interpret musical phenomena to which they were exposed as communication of sentiments and ideas. Music was under- stood to be some kind of language, and in its structural properties it took on many characteristics of speech. Theorists began to use such terms as "phrase", "sentence", "period", "question and ans- wer", "subject", and "logic". The perfect musical work was seen as having a clearly defined theme that was logically developed, a structure that could be followed from point to point, from be- ginning to end.
The first symptom of music's alienation from its speech-
like tradition may be seen in the new emergence of the concept of
retrogression in later twelve-tone music. While the systematical
layout of the roster of available forms of the tone-row calls for
the introduction of its retrograde, the notion of turning around
not only the tone-row as a basic element, but also complete mus-
ical ideas and even building circular structures that would run
back into their beginnings was developed by cancrizans mode are rare and were put together mainly
to exhibit erudition. In mediaeval music, however, retrogression
is an entirely familiar device. In our modern use it takes on some
vaguely philosophical undertones because it seems to suggest that
time might be reversible.
Because in serial music Gestalt is the result of orderings
made prior to its creation, the free-wheeling inspirational invent-
ion of "themes" is virtually impossible, which also eliminates the
concept of "development". Thus the perception of serial music rests
upon different premises. The interest that it evokes emanates from
what it has to offer at any moment rather than from a context that
may be followed intellectually by the listener's retaining in his
memory musical shapes and profiles to be recognized later on. It
is therefore, contrary to common belief, intellectually much less
demanding than traditional music. Whatever structural features
the listener seems to observe, is a product of his own mental pro-
cesses. In this sense it requires more imaginative participation
than the old music, but it probably also stimulates the imagin-
ation to a higher degree. I realized that the "athematic" quality
of serial music was for the younger composers perhaps the strongest
bait when they were caught in the serial net, because serialism
was the most secure way of preventing relapse into traditional
routines. It should be mentioned here that the Tchecoslovakian
composer,
With the two works discussed above I had reached a point of
saturation similar to what I had experienced in the twelve-tone
technique with my Variations and the
Sixth
Quartet
on their heads to signal a "breakthrough". Unfortunately many of
the young composers seem to have decided to do just that. It is
regrettable that a new style is not allowed to mature and to un-
fold completely its potentialities. We are not aware that anybody
pestered
In subsequent serial works I tested various different ap-
plications of premeditated measurements, off and on leaving some
parameters open to free manipulation while strictly ordering
others. A group of small pieces for two pianos has the title
Basler Massarbeitdouble entendre because
Massarbeit means both "measured work" and "custom made", and these
pieces were written for two friends of mine in
Sechs Vermessene Sestina,
which reads: "Is it presuming to force such an extent of measure
on life?" In these pieces I stressed the aspects of applying differ-
ent time patterns to different layers of varying densities. Seeing
that preorganization of pitch- and time-successions was leaving
the parameter of simultaneities (in traditional terminology: har-
monies) indeterminate, I tried in one of the pieces to start with
predetermination of just that parameter: constructing from the
tone-row a basic material of fifty simultaneities and then organ-
izing these according to pre-established series of time and dyn-
amics. I took this experiment up again on a larger scale in an
orchestral work,
. The title of this composition sug- gests that various musical configurations arranged in layers are combined at several different levels of dynamics and speed, the perspectivic idea being further emphasized by having some of the elements played offstage. Similar conceits prevail in another orchestral work, calledPerspectives
Fivefold
Enfoldment
The paradox that the composer, by most rigorously planning every move in certain areas, is giving up control over others, has in- creasingly focussed our sttention on the factor of chance. It has become dominant in a great deal of so-called post-serial "aleatory" music. I have never been inclined to abdicating my inventive pen- chants in favor of some chance mechanism, like throwing dice or flipping coins, because I still find even laborious serial com- putations more interesting than such primitive exercises. I did become interested in devising musical works in which the inter- preter was given multiple choices of combining materials that in themselves were totally worked out by the composer. This proced- ure seems to reflect a very characteristic trait of the contemp- orary mind, which is rather skeptical of categorical statements and prefers a pluralistic view allowing of more than one solution to a given problem.
Along these lines I wrote the Fibonacci Mobile for
string quartet and piano. It consists of a number of elements
whose durations are proportional to the numbers 2 3 5 8 13 21 34.
They are a part of the so-called Fibonacci series in which each
number is the sum of the two preceding ones. These elements may
be combined - that is, played simultaneously in many different
ways, and a performance of the work should present several such
combinations so that their differences may be appreciated. The
effect should remind one of the aspects of a spatial mobile,
which by turning about shows its elements in constantly changing
perspectivic relationships.
The orchestral piece From Three Make Seven
be synchronized. Obviosly countless possibilities exist, and again several of them should be presented in performance. But the select- ion has to be made beforehand and abided by; nothing is left to improvisation.
It has been objected that this project does not make any sense because the results of the combinations are utterly beyond control, and if the unavoidable chaos was intended, the serial preparation of the material was useless - one could just as well let everybody, play at will. This is, of course, not true. Since the elements are derived from the same substance, they are very closely related in every detail, and many of the possible combinations yield surprising coincidences, correspondences, contrasts, and other relationships. One might say that the arrangement represents a sort of Variations, but of a kind a composer could hardly con- ceive without sluicing his inventions through the involuted system of serial channels.
In some later works, as for instance in Horizon circled
The emphasis placed upon the element of chance has eventually led to a new golden age of improvisation, including all problem- atical aspects thereof. Obviously the improvisation in post-serial
16. IV.is expected to produce a certain stylistic image which will be destroyed if some mischievous or lazy players would "improvise" broken D-major triads. It requires well intentioned, dedicated, and congenial players so steeped in the style of the composer (who becomes more and more an instigator of vaguely delineated musical activity) that they could almost write the music which he omitted to put down on paper. Even in such lucky circumstances experience has shown that musicians in the heat of the battle are likely to fall back onto what they know and remember best, what comes naturally to their fingers. More than once I have heard a composer complain that "they did not improvise correctly"; if he knew so well what would have been "correct", it would have been best for him to write it down. To prevent group improvisation from becoming dull, or missing the stylistic image, one has resorted to more or less detailed instructions and guiding lines, and to testing the results in practice run-throughs. But obviously rehearsed improvisation is a contradiction of itself. In many cases it appears that this kind of activity may be relatively satisfying, or at least entertaining, for the participants, but is rather disappointing and boring for those invited to hear the results.
Something akin to improvisational attitudes has developed in the field of composition in the electronic medium. While one of its initial attractions was the possibility of obtaining other- wise inaccessible degrees of accuracy in time relations, it became later the extraordinary capacity for new sound qualities that absorbed the attention of composers. Since rhythmic subtlety accomplished through ever more complicated serial computations served the purpose of making sure that the result would sound chaotic, we learned that this character could be achieved by simpler means and serial organization reserved for other purposes. On the other hand, the fact that electronic generators will produce any conceivable frequency made us free of the limitations of the twelve-tone system.
The composer, having a more or less general idea of the total structure of his project and the distribution of fields of
17. IV.
sound therein, "improvises" on his machinery, experimenting with
sounds, selecting what seems useful in terms of the image he has
in mind, rejecting or putting in storage what does not fit his con-
cept. Thus the work emerges gradually from more or less fully real-
ized passages by filling in what seems to be required for contrast
or transition, adding here, cutting out there, adjusting prerecorded
elements, in other words, doing things that are reminiscent of
rather oldfashioned ways of composing music, except that they do
not take place on paper. This activity is perhaps more related to
creating an abstract painting. But whatever importance is attached
to its improvisional component, its result is definitive. What is
recorded on the tape, is The Work, with no allowance for indeterminacy
or chance - unless the tape is further electronically manipulated
in performance, which would simply mean that the product as furnished
by the laboratory was only partly finished and designed for applying
various additional improvisational finishing touches. The notion
that the product delivered by
Some composers, especially beginners venturing into the field of electronics, become so infatuated with the exciting unheard-of sounds they are able to produce that they overlook that the most sensational acoustical phenomena are only material which fails to hold the listener's interest unless it is used in a more demanding context. If the experience of serialism has eliminated ability or inclination for traditional structural design, it simply means that composing interesting music has become so much more difficult because something else has to take over the role of contextual variety and continuity that seems to be indispensable if the listener is to be kept awake.
Personally I found that certain combinations of electronic elements with live instrumental and vocal materials to be a partic- ularly attractive way of using the medium. The impersonal quality of the electronic sound and its startling potentialities of formid-
18. IV.
able amplification add to the humane character of instrumental and
vocal sounds unexpected monumental grandeur and gripping dramatic
contrast. In such combinations electronic sound is also better suited
to public performance than in its pure form which seems to favor
private reception over the radio or from a tape recorder.
It is probably partly due to the observation that much of
post-serial music must offer stimuli over and above what it can do
by acoustical means to keep the recipient's attention in focus, but
partly also to the fact that group improvisation frequently approa-
ches the character of a parlor game, that eventually the visual
aspects of music-making are stressed so that it becomes a "happening",
a multifaceted slice of life. Undoubtedly this tendency reveals pro-
nounced hostility toward a frame of mind in which art is considered
a realm separated from ordinary life and revered for its being ex-
empted from the vicissitudes to which undistinguished mortals are
exposed. It has been little notived that this attitude is not far
removed from the reactionary pre-Nazi mentality of promoting Spiel-
musik, togetherness, and craft instead of art. But while then value
was attached to skills that had to be learned the encouragement of
do-it-yourselfers to do their own thing tends to equaling the creation
of music to unskilled labor. Whether audiences are invited to walk
around during performances and to pay only casual attention to the
music played (which has been practiced in “promenade"concerts and
public parks since time immemorial), or to participate in it by making
noises on homemade tools (which is "progress"); whether traditional
instruments are abused in outrageous ways and possibly destroyed
for good measure (which once was known as students' pranks); whether
obscenities are sung or shouted and customers in the audience molested
from the stage - the intention always is to divest the art of that
solemn dignity behind which it was hiding and which is considered
hypocritical and standing in the way of progress toward more humane
social conditions.
It is entirely possible to sympathize with the sedtructive tendency revealed in these exercises and to dream of starting over again with a clean slate. However, so far the anti-art manifestations claim to be evaluated on the terms of legitimate art, and here they
Exercises of
. Its orchestral parta late hour
Quintinaf. voice and six players
, howeverSestina
Quintina
Horizon
circled
are mostly found wanting. The revolting nuisance is meant to
produce a shock by taking place where the exalted had been held
in awe, but by comparison it usually appears inane. The piano
into which a can of peas is pored is the same on which we only
yesterday heard