>> From the Library of Congress in Washington, D.C. >> Nicholas A. Brown: Good evening ladies and gentlemen. Welcome to the Library of Congress. My name is Nick and I am one of the music specialists and concert producers here. Very pleased to see you all tonight. We have a very exciting pre-concert talk and then performance this evening. We're very welcomed, we're very excited to welcome distinguished scholar and performer Paul Miller to the Library of Congress for this evening's pre-concert and his writing is also featured in the program booklet that you'll receive later on. Paul is both a performer and scholar. He's an avid interpreter of baroque music and has performed recently with the Washington Bach Consort, the Bethlehem Bach Festival and the New York State Baroque, as well as many other ensembles. He recently had the privilege of performing on the Library of Congress' Gagliano "Viola d'Amore" for the Bach St. John Passion at the National Cathedral this past Palm Sunday. Paul serves on the faculty of the Rocky Ridge Early Music Festival in Colorado as well as at the Hawaii Performing Arts Festival on the Big Island. He is also the director of the Cornell University Baroque Orchestra, which has doubled in its size since he took over and he is currently finishing a Mellon Postdoctoral Fellowship at Cornell. His research focuses on the Ornamentation and Improv in Italian baroque music as well as rhetoric and gesture in the work of Stockhausen with whom he had the privilege of studying for six summers. So we're very lucky to have someone with his background speaking tonight about "Mantra." Of note Paul premiered Stockhausen's solo piece "In Freundschaft" which is for viola, and his dissertation which was completed at Eastman pioneered methods for analyzing spatial motion in Stockhausen's later works. Paul plans to relocate to D.C. shortly so hopefully you'll all be able to see him regularly in the future if you're really into Stockhausen and other things in baroque performance, so without further ado welcome Paul Miller. [ Applause ] >> Paul Miller: Well thank you Nick and thank you David Plylar who have done so much to make this concert happen. These guys worked tirelessly to get things right and they almost always do get things right and sometimes better than right. Okay, in the early 1970s it might have seemed to the casual observer that the avant-garde movement in music was on the threshold of gaining a permanent foothold. Its roots extended from West Coast American experimentalists of the 1920s and '30s like Henry Cowell and Harry Partch to the European serialists of the 1950s Darmstadt generation. The Parisian School of Messiaen and various Fluxus and Neo-Dadaist movements in New York City and Cologne. When Pierre Boulez took the reins of the Cleveland Orchestra from 1970 to '72 subsequently leading the New York Philharmonic from 1971 to '75 one of the most prominent composers of new music positioned himself at the forefront of American musical life. During the summer months of 1970 Stockhausen's marathon concerts in Osaka, Japan which lasted for five and a half hours every day for 183 days consecutively were heard by over a million visitors. Even in his twilight years Stravinsky experimented with serialism and twelve tone rows suddenly appeared in the last works of Aaron Copland. But his sense of historical inevitability was not felt universally. While critics such as Claude Levi Strauss and Nicholas Ruwet expressed serious skepticism about the entire aesthetic validity of abstract serialism performers lodged complaints about the impenetrability of modernist scores, while audiences sometimes expressed displeasure by walking out of concerts at the same time that a younger generation of composers such as Terry Riley and Steve Reich reacted to 1950s and '60s aesthetic in their own composing. Carter and Stockhausen who essentially located within avant-garde circles developed imaginative strategies to make the elements and processes of their art more audible. These hooks allowed the old guard to reach out to more casual listeners who might have an intuitive but not specialized knowledge of music while holding on to the intellectual rigor of their craft. But the two works on tonight's concert actually go much further than just extending an olive branch to the listener. Both probe deeply into the question of musical gesture and identity consequently, they resonant with many questions currently circulating around the humanities and social sciences. But before we get deeply into this I'll first speak a little bit about how these intricate works are constructed and suggest some possible strategies for listening. Now for anybody following Stockhausen's "Courier" in the late 1960s, "Mantra" scored for two pianos came as a big shock because it was his first conventionally notated piece in almost ten years. Considering that Stockhausen had already exploded most conventional notions of what music could be in the 1950s and '60s this return to more orthodox means of notating music was viewed at the time by many as a stylistic break with the past. Some even went so far as to call it a betrayal. The works from the late 1960s by Stockhausen could be read as a progressive withdrawal from the arena traditionally occupied by the composer in the West. This was a view of composition primarily as an activity that is to say from the 1960s Stockhausen's view was composition was primarily as an activity, I would argue or in other words an exploration of indeterminate and self-regulating forms of communal composition enabled by tightly knit ensembles of collaborative improvisers. Here's a score from the mid-late '60s of Stockhausen's and "Prozession" a representative score from the period immediately before "Mantra." The notation consists primarily of plus, minus and equal signs which indicate processes. For example, the instrumentalists make increases in loudness or articulate more formal segments or do less change in rhythmic diversity or etcetera, etcetera. But even this minimal symbolic language disappeared in Stockhausen's text pieces from a 1968 collection "Aus den sieben Tagen" which means "from the seven days" because Stockhausen went into a kind of self-imposed exile for seven days in 1968. These enigmatic texts provide the material in which musicians are just spontaneously create intuitive music. So what drove is Stockhausen back to conventional notation? I think this has to do with the basic idea for "Mantra" which the composer explained himself and here I'll quote from a lecture that Stockhausen gave in 1991. "I considered a number of different titles. I couldn't find any word in our language to describe the following process. The composition of a Gestalt and the construction of a large forum derived exclusively from this Gestalt. I wanted to avoid using the words theme, row or subject as in a fugue. For this reason I chose a word that has a similar meaning but more in a spiritual sense. In general, mantra refers to a series of tones or syllables that are constantly repeated in different tempi with varying dynamics in a way that is both acoustically audible and inwardly mediated. Through concentration on such a series of tones the listener enters a higher state of receptiveness and consciousness. Through concentration I've become purified and fully conscious." So okay, the "Mantra" is a basic musical shape or Gestalt that constantly undergoes transformation throughout the work. In fact, this Gestalt pretty much forms the entire content of the work in one way or another. Moreover, Stockhausen expresses the hope that the various mantras will actually be audible. Finally there is a scarcely disguised spiritual element which actually derives from the composer's intense encounter with the writings of the one Sri Aurobindo who is an early 20th century Indian nationalist, a yogi and a guru. But practically speaking what is this "Mantra" musically? Okay, so not counting the grace notes, the part for the right hand of the piano is a twelve tone row with one note A serving double duty as both the first and the last element. The left hand part is nearly a twelve tone row. The entire mantra has four sections each lasting ten, six, 15, or 12 quarter notes that's labeled here. The sections or as Stockhausen liked to call them limbs, a bodily metaphor which we'll come back to maybe later in the talk for a moment, these limbs, these four limbs are separated by rests of different durations first three-quarter notes then two, then one and finally four. You might also notice that the left hand part has a permutational or an inversional relationship to the top part. That is to say that the first limb of the left hand that's right here, okay? Well, that's right here, excuse me. The first limb of the left hand part is the inversion of the second limb of the top part and so also here the second limb of the left part is kind of the inversion of that and so these two parts down here are sort of in the same relationship. Okay, now it gets more interesting. Have a look back at the right hand. It's maybe a little hard to see here because it's so small but each note, with one exception, is associated with a different ornament. The first indicated by a circle number one is "regelmaessiger Repetition," or regular repetition. The second one okay "Akzent am Ende," or accent at the end that's the accent at the end. That's the sort of thing associated with that second note of the mantra. The third is normal which is simply a note with nothing extra and so on. So every principle mantra note except this normal one gets modulated by a kind of ornament or as Stockhausen explicitly said character. We'll come back to these characters in a moment. Now that we have some idea of what the mantra actually is in "Mantra" how does Stockhausen compose an entire work out of this basic material? First of all, each of the 13 main notes of the "Mantra" will be expanded into its own section each of several minutes duration. But what material gets poured into these sections? Another sketch can help us out here. Here this form plan is not uncommon in Stockhausen's composition and he was kind enough to publish most all of them. What it shows is that the "Mantra" is to be temporally, excuse me, stretched out or shrunk to short of duration as three seconds and as long a duration as 212 seconds. The bottom chart here, read from left to right is kind of a plan for ordering the appearances and overlappings of these different temporally stretched out or squished out mantra. Up to three mantras can be heard at once and those denser moments present particularly great challenges for pianists and listeners alike. As Australian musicologist Richard Toop wrote the "form scheme here is not necessarily to make the music conform to it but rather it might function more as a way of focusing on the creation of the music itself because this was done before Stockhausen started composing and he broke his plan many times." That's another question for another talk. Okay, so it's now clear that Stockhausen devised this plan for shrinking and expanding his mantra temporally but what about pitch? Now, here's another sketch. By altering musical intervals of his mantra the melody can span the entire keyboard, if desired. So you heard the mantra before and it was kind of in this narrow range. So Stockhausen came up with a way to make that grow, the pitch intervals grow as well. Okay, so what this shows is that there's 12 different scales that Stockhausen was working with, okay? So the top one is the ordinary chromatic scales, okay? So every single key on the keyboard but on the bottom the one, the bottom scale has many large gaps of many thirds in between notes, minor thirds and major thirds so on and so forth. So then he went along and took his mantra, this is very hard to see but you just can follow along. He took his mantra and he applied his crazy scales to the mantra and at the bottom you have the one that spans the entire keyboard and you can see maybe it's not so easy to see but it has a lot of high and low notes in it. So this is a sketch to sort of map out the 12 different expansions of the pitch content. Okay, now returning to the ornaments, recall that a single ornament will form the basic character of each of the piece's 13 main sections. Along the top of this next sketch, okay each of these 13 large formal sections is numbered with each of the section's main ornament also, okay. Now in the left column in Roman numerals it shows us the ways that ornaments are kind of mapped on to each pitch of the mantra, okay? So in theory each section of the piece has a different characteristic sound related to the governing ornament applied to the main mantra as you can see, in the top left corner of this table the main character of the first section the tremolo. That's right here. The following analysis here shows the different presentations of the mantra in that tremolo section. So E one and E three, etcetera they indicate the degree of pitch expansion. So E 12 is a pretty big pitch expansion. The P identifies whether it's piano one or two and these other numbers kind of give you the main rhythmic units. Notice that very soon the pitch expansion indicated at E 12, right which refers to one of the widely spaced scales. The piece could simply progress along those lines mechanically cycling through the different characters and expansions but Stockhausen as usual throws a few wrenches into the works and I'd like to show you two of the more interesting ones. Just before the midpoint of the work there's a kind of minimalist passage in which the mechanism of continual transformation seems to get stuck. After many repetitions the tempo accelerates. Then the first player plays a wrong note and the other seems to respond with what to me sounds you like musical laughter. Then the first pianist plays another wrong note but now the other pianist gets rather annoyed to which the first responds with an even higher note as if to rub it all in. Finally, the second pianist plays a graceful arabesque up to the new high note and the two kind of reconcile their differences, okay. So there's one last important thing to say about mantra. You might have noticed some odd other worldly sound. This is because both of the pianos are electronically ring modulated. The electronic effect is so called because its circuit diagram looks like a ring of diodes. Essentially, a ring and you can see that the popular media has used, has availed themselves of this technology in many different ways because the Daleks are ring modulated. Essentially a ring modulator what it does is it takes two electronic signals as input and returns their sum and difference. So that means it also returns, yeah, you transform the timbre essentially. In "Mantra" one of the inputs is the sound from the pianos and the others which the audience doesn't hear explicitly is a sine wave generator. So you'll these boxes. For each of the 13 sections of the piece one sine wave generator is set to a different mantra note. So even if the original mantra notes are not literally present in a section they are still there in a form of this ghostly input which transforms and distorts the musical surface. Occasionally the pianists deviate from their sine wave settings at special junctures creating special glissando effects. If I have to sum up the most important idea in "Mantra" it would be that musical transformations can be made audible as Wolfgang Visser theorized in a book Stockhausen read "The shape of one species of fish can approximately map on to another simply through a change in the coordinate system." This is a little theoretical but it's there. An analogous thing happens musically in "Mantra" familiarizing ourselves with the basic tune makes it easier to hear the relationships among the distortions piled upon it. Some might even cast the experience in spiritual terms as Stockhausen himself did. Repeating Stockhausen's words from earlier "Through concentration on such a series of tones the listener enters a higher state of receptiveness and consciousness; through concentration I become purified and fully conscious." Okay, while his pretensions to attain spirituality through sound might not have been so explicit as Stockhausen's, Elliott Carter's music of the 1970s is no less demanding for the listener yet like Stockhausen Carter composed the duo for violin and piano with listeners in mind. Premiered in 1974 at the Cooper Union in New York City to standing room only the work was commissioned by the McKim Fund at the Library of Congress and we have some very interesting letters and correspondences out there in the cases by the way. You should check them out. So the fund was created in 1970 through a bequest of Mrs. W. Duncan McKim a violinist. Her husband was a well-known doctor and an organist. The fund continues to operate today as a critical resource for the creation of new music. Here's the beginning of the score. The basic premise of Carter's piece is that the piano and violin express extraordinarily distinct musical characters. As Carter wrote, "This is rooted in the physical way each instrument produces sound the composition's basic character thus derives 'from the contrast between the sound's made by stroking the violin with a bow and the sound by streaking the piano.'" Carter reflects this musically in many ways. The violin part is often jagged with irregular rhythms so fused with a hectic anxiety or expressive intensity which is specified by the many musical directions always written in Italian a particularly expressive language. For example, "Ruvido, espressivo, molto espressivo, tenero, appassionato, cabtabile..." On the other hand piano projects a cool, calculating and rational persona with its predominantly calm, long tones. But even when the piano plays in areas of thicker texture its rhythms are usually steady while the violins are most often unequal. This confrontation between personalities is audible from the very beginning whereas the violin spins forth an active [foreign word] like chatter, the piano withdraws into passivity even going so far as to depart into a netherworld of shadowy resonance by occasionally depressing a key without actually striking the string itself so it's resonance in a way which is a kind of weird analog to Stockhausen. All right, so if the fundamental contrast between the two instruments is apparent by their different styles of playing Carter underscores it with a very subtle but not inaudible technique of pitch deployment that can be found in many of his other works of this time. With few exceptions each instrument expresses its own palette of intervals. The violin typically plays minor seconds, major thirds and perfect fifths, major sixths and minor sevenths. The piano's repertoire consists of the remaining intervals and the two share a tri-tone in between them. Moreover, Carter sometimes freezes each instrument's pitches in a formal section. This means for example that whenever the violin plays a note in a particular octave say a middle C the piano avoids playing that specific note in that octave and will only express it in a different octave. When this lock thaws out like we are slowly doing in Ithaca right now and the instruments share pitches in the same register the timbrel profile changes drastically making formal boundaries audible by shifting toward an iridescent shimmering world of sound. The game the musician's play by alternatively sharing pitches and then claiming them for themselves allows them to probe deeply into a kind of bubbling cauldron of social interplay and dramatic interaction. This is apparent in the sudden shift of character around measure 84. So this excerpt I think starts here and when you see this big line that means they're going to share the notes and I've put little lines. You can't really get all this but you'll get the idea. Yet for all its inter-intellectual muscle the duo is a work that appeals to the senses also. It's central pointalistic section contains moments of dead pan humor at the same time as it pays homage to a well-worn modernist style dating back to one might say Webern and avant-garde music of the 1950s by Boulez and Stockhausen. And it's interesting to note that Boulez himself introduced to the premier of this piece in '74 in New York City. The duo's buildup to its enormous final emotional climax involves some of the most gymnastic and acrobatic writing for violin and piano conceivable, pushing the limits not just of the instrumental technique but also the composer's ability to express musical ideas through notation. This is as Buffalo composer David Felder might put it, linebacker music and that it revels in the enormous gestures, massive collisions and a kind of intense chromatic fog. Two deeper questions resonant in our own time with this music. The first goes something like this I think. Are we locked into expressing a certain repertoire of gestures or behaviors, hear intervals by virtue of the physical construction of our body or instruments? This is a tough question, for what is more natural or idiomatic on the violin than playing a perfect fifth? You just have to play the open strings. Even though the violin and piano occasionally play each other's intervals they remain fairly locked into their own intervalic repertoire. Second, what is the nature of the claim instruments have on notes in the registerally frozen sections? Here I venture a slightly more confident answer. I understand the centrist music that occurs when notes are shared and lines intertwine as an optimistic gesture one that might even suggest an oratic reading of the piece. Still Carter's music metaphorically expresses the great difficulty of stepping beyond embodied norms as we viscerally experience the alternation between violent confrontation and qualified repose. I'll conclude the talk and then we'll have some questions if there was still time. I'll conclude by saying a few last words about the idea of musical character that as I've argued permeates these two pieces. It might be said that in its most radical form the very abstract serial music of the 1950s was an attempt to leech character out of music. It was after all an understandable reaction, for if it were not for the charismatic character of certain fascist dictators in the 1930s the world may not have lurched towards a terrible conflict costing millions of lives. But by the 1970s composers clearly felt more comfortable composing musical shapes with more pronounced characteristics but this was not done blindly. Both Carter and Stockhausen maintained a critical distance from the old emotional triggers of pre-war days. If a listener's reaction to common practice music is conditionally molded through a shared set of responses then this music asks the listener to formulate his or her own unique aesthetic criteria, thereby empowering him or her. By challenging our senses in unusual way this expressive works from the early 1970s allow us to hear a new and different kind of sublime beauty, a beauty that ultimately lies within ourselves. Thanks. [ Applause ] >> Paul Miller: Okay, so if you've got any questions and we have a mic. Oh, my God, it's John Peterson. Sorry, oh there is a hand up here. >> Audience Member: You talked about the electronic component here. Is this something, I remember reading months ago that this was something maybe recreated. Is this some kind of David Tudoresque thing to create an analog device that's no longer available commercially or something? >> Paul Miller: Well, yeah, David Tudor was associated with Stockhausen principally in the 1950s and by the '60s and '70s he had moved on to other artists. You know I believe it was in the '60s that the ring modulators were really invented because they needed a lot of solid state stuff going on. Although, I could be wrong there but at any rate this was a kind of thing that was pioneered in sort of as first a kind of a toy but it became very interesting because it sort of alienates people from the sounds they're familiar with. Stockhausen used ring modulators in the '60s in other works such as, "Mikrophonie II," that is "Microphone Number 2" and in this way he actually like makes this wash, pushes this wash over the sound making it kind of unclear where the sound is coming from. Is it a sound coming from the singer or from an instrumentalist or is it kind of intermodulation of the two and so it kind of estranges you from the sound of its happening and it's hard to get used to at first. I had a hard time getting used to listening to ring modulated music and so the people sitting there at the controls have a great responsibility because they can mix more or less of the ring modulated sound into the output. So you will probably see a sound projectionist or a sort of engineer on a board trying to mix things together tonight and that person actually plays a big role in this piece so be on the lookout for that. Thanks for your question. Yeah. Anybody else? >> Audience Member: How often are these pieces actually performed? >> Paul Miller: Okay, well the Carter duo is [having] kind of a bit of a renaissance. I mean at first only a few people performed it. One of the people I studied with at Vassar College, Linda Quan actually performed it in the '70s but recently it's gotten more play. It's a tough piece to play to put together but you know in about two weeks a good pair of, a good duo can do it and do a pretty darn good job. Now the Stockhausen doesn't get done so often because it actually requires this extra electronic component and it's a very long piece. It's a tough and a challenging piece and I won't put it any other way. But it's a piece that has a lot of rewards too. It gets more play in Germany than it does here in the States because they have more of a familiarity with it there. They've heard it a lot more. Stockhausen is something more of a-- people sort of vaguely know who he was, many of them. In Cologne the Rathaus ("City Hall") plays Stockhausen's music on the chimes during the day. So they don't get performed very often which is why tonight is such a special occasion. Anybody else? Thank you. Yes, over here please. And now I'm going to make this poor guy here, this guy deserves a lot of credit. He's going to have to go all the way back there for the next question. Yes, sir. >> Audience Member: Are we are returning to the question about development of substitute electronic technology? >> Paul Miller: Yes. >> Audience Member: Is that now standardized for different performances in different parts of the world or is everybody experimenting with a different way of translating? >> Paul Miller: Yeah, well there's a lot of people doing electronic transformation. There's a lot more technology available now. A lot of it depends on the kind of software you're using, what sorts of things that software makes easy. There's everything from patches that respond to notes the player performs and triggers certain things. You play a B flat and it throws something in to other kinds of technologies that sort of sample the sounds coming out and transform them in different ways layering them, playing them back, jumping back. There's all kinds of interesting technologies that temporally transform the stuff a player has played. Ring modulation is kind of one of the earliest attempts to do something significant with live electronic transformation. Previously, there were electronic pieces but they had always more or less many of them had been pre-recorded and played back which is not to say that it was simply a business of pressing play and then you just walk off and let the audience sit there but actually most sound engineers would vary the levels during the performance of the playback to account for the unique acoustics of each performance piece. So going back, that's sort of where if live electronic stuff had some of-- you might trace one of its sources to that. But today of course there's really, you know with the software there's so much you can do. In fact one of my advisees when I used to teach in Colorado devised software to help link performers from different parts of the world. So we had a concert in Boulder in Colorado where there are actually four people working on their laptops and one was in London and one was in South Africa and another was in California and he was there sitting there in Colorado and they were all doing a quartet and they were in all different parts of the world so there's all kinds of things. I mean it's really going through the roof nowadays. The guy in the back here, you had your hand up. >> Audience Member: Often when one hears a kind of music one's never heard before-- >> Paul Miller: Yes >> -- it doesn't make sense the first time and you play with it. I've had that with pieces I've sung so not counting, looking at the score and the formalisms how many times did you have to listen to this piece before it started to make sense to you? >> Paul Miller: Okay, that's a great question. That's a really good question. Of course me being a kind of sort of having my one foot in performance and one foot in academia more or less, I tend to read a lot about these pieces and sometimes I read about them before I hear them but for pieces like the Stockhausen that I hear the first time, I mean it really goes from piece to piece. I mean some of them actually have a couple of these hooks in them that are directly sort of meaningful to me. Like the passage where the whole process sort of grinds to a halt and there's this sort of dialogue between the two pianists. I mean that's something that you can experience without really much of anything. In fact, I probably didn't even have to tell you about it but it was fun anyway, right? There are other things that you really only discover through engaging with the score and looking at it and reading the notes that the composer writes at the beginning of the score, these sort of as they say para-textual elements that exist outside the score itself. And then you know for those among us who really want to get down to business analyzing it certainly has its own rewards and pleasures which are very distinct. I would say it really has to vary from piece to piece and I think one of my favorite composers is Haydn and I love Haydn because not only did he have a kind of fantastic command over the sort of the expectations people had in the sonato form and so he appeals in a very intellectual way and whole books have been written about Haydn's bizarre way and interesting and fantastic way of writing sonata forms but he also appeals in a very direct way and I think that a few of Stockhausen's pieces approach that. And I think "Mantra" might almost be one of-- he becomes pretty close. There's a lot in this piece that you're going to enjoy. So I think that in a lot of Stockhausen's pieces he does try to throw those things out. You know, I'll just conclude answering your question by saying the following. He had something to me once which went something like this and I'll have to paraphrase. He said, "You know a piece has to have a memorable beginning. It has to do a couple memorable things in the middle and it has to have a great ending." And a lot of Stockhausen pieces end really high up in the register and you know I think that he was in tune with this because when he was a young boy-- well, not a boy. When he was in college actually you know he lost both his parents in the war and in order to put himself through school he worked as a parking attendant and he also played an improvised piano for a magician. This magician his name was Arion [assumed spelling] and there's a photo of him playing, of Stockhausen playing the piano with Arion the magician and I think that Stockhausen-- one of the things I like a lot about Stockhausen is that he had this sense of the theatrical in almost all of his pieces and there's always like in some of his best pieces like the totally absurd and unexpected happens and it's got this sort of like-- what was that? Are you kidding me? It's like what? So I think that there's kind of interesting caste that he has as a composer which I really enjoy so yeah, great question. Thanks a lot. Do we have time for any more? Maybe one or two more? We'll go there and then up here next please. Yes, sir. >> Audience Member: Thank you very much for the talk. >> Paul Miller: Most welcome. >> Audience Member: I enjoyed it very much. You, at the beginning you showed us these earlier scores from Stockhausen that were much more minimalist and kind of gestural a bit and then you said there was shock and surprise when he returned and scored "Mantra" much more conventionally. >> Paul Miller: Yes. >> Audience Member: And then you showed that quote from Stockhausen explaining kind of his considerations and his maybe spiritual considerations in the piece. Did he himself explain why he decided to score "Mantra" in a more conventional register? >> Paul Miller: No, you, that's great that you asked that question because you see in order to get the relationships among the mantra and in order to stretch it out in these ways he had to notate it because it simply couldn't, I suppose that in the abstract one could theoretically memorize this thing and memorize all the different transformations but I mean it had to sort of be written out because he really was after expanding the thing to a length of 212 seconds at the maximum or compressing it to 3 and a half seconds and that's a very wide perceptual range and it would be very, very hard for performers to do this. Now they kind of did things like this expansion, contraction in different musical parameters in these earlier pieces from the '60s but it wasn't, you know, it wasn't, it couldn't have been quite as explicit so I think that Stockhausen was after a greater explicitness in these pieces and connected with that was a more sort of firm push toward connecting that with a kind of spiritual aspect that one could get a spiritual enlightenment in some way by hearing these relationships, hearing the unity. And if I may digress for just one brief moment, some scholars have dated this to the kind of Neo-Platonist theories of the 3rd and 4th centuries, like Plotinus who would look at the one light, the light as a kind of unifying force in the universe. And so Stockhausen really thought of the universe as being a kind of unified thing and this was why serialism appealed to him because serialism for him did not, was not based upon a dialectical relationship. That is to say that black for Stockhausen was simply an extreme form of white and so he constantly tried in his writings he emphasized his desire to eliminate the dialectical oppositions among things and instead to see the unifying elements behind everything, the oneness. And this has a very distinct religious aspect for him which as I say you can read more about it if you read Plotinus and some of the Platonic dialogue I think. Great. Thanks a lot for asking that because that's one of those questions where I get to explain something that I might have left out. Somebody else? We have time for one or two, one more. >> So this may be similar but you talk about this evolution of serialism in the West, in America and West Germany. What about the East? Particularly, have you studied that and looked at some of the comparisons and contrasts with Sylvestrov or Gubaidulina or-- ? >> Paul Miller: Oh, oh, gosh, well of course I know those composers but I'm afraid the field is so vast that I haven't really gotten to the Soviet composers or Eastern Bloc composers although that is a very fascinating subject and I can say that this especially in Poland in the '70s this got out in Warsaw and Schaeffer, a guy named Schaeffer published this crazy book that has all these avant-garde scores in it. And I mean the paper is like toilet paper you know from the '70s in Poland, but it's a fascinating book. I think his name was Bohuslav Schaeffer. This guy published this huge thick compendium of all these scores, the crazy scores by all these modernist composers in the West and some of the Eastern Bloc countries were kind of into it you know because they were like, hey, this is the proletariat that's speaking. This is against the high bourgeoisie music and so on and so forth. That is something that I'm by no means an expert on but it's a fascinating story. Yeah, thanks for asking. Yeah, all right, well, I guess in conclusion if you have any other questions I'll be at the concert. Come grab me and thank you so much for your questions which were awesome and your attention. Enjoy the show. >> This has been a presentation of the Library of Congress. Visit us at loc.gov.