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Prominent composers using chance techniques |
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John Cage Pierre Boulez Christian Wolff
Stockhausen and Boulez both wrote pieces where they demonstrated the continuum between chance music using tonality rules and serial techniques
A serial partisan says that if you use dice, you give up the generating principle (the row, like DNA) that creates cohesion in the piece |
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May be more or less indeterminate Any or all musical parameters could be determined by chance Radomizer "machines" often employed So the question is: at what point does the indeterminacy occur? And who is making the decision? Also, which musical elements are indeterminate? |
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Chance, Indeterminacy, Improvisation, Aleatory: what do these words mean? |
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Indeterminacy means something that is not determined in the score Chance and Improvisation are two different ways to implement indeterminacy
Chance is using a source to get data to use in music, from random numbers to elaborate equations
Aleatory is just another word for chance
Improvisation like in jazz, but people often associate the word “aleatory” with improvisation |
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Definition of musical "texture" |
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everything in music that contributes to the steady state of sound: rhythm melody harmony tone color repetition tempo volume register etc
Number of voices originally Types of tone color Layers How present and active each voice is Linearity and depth Difference: Not static in time like visual textures--not a steady state in time Evolves in time, may only last for two bars |
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Original idea was that everything blew up: we won’t use inherited principles, start from scratch without using traditional principles
Equal temperament was only 50 years old Why are we stuck in piano half and whole steps? What are all the ways we can combine these 12 tones? Free atonality 12 tone music--notes are only related to each other
Freeing classical music from its constraints (liturgical and societal also) |
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Studied with Schoenberg No melody, harmony, counterpoint Why not Schoenberg? Schoenberg’s textures were still firmly rooted in the 19th c. Still had melody, harmony, rhythm, and counterpoint Webern used pointilism Absolute music Stravinsky on Webern’s heroism: the concept of writing music that no one will ever perform. |
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Absence of self-pity: Choosing what to leave out Choosing to rise above emotional indulgence Music as individual points of sound Very sparse texture Individual notes and sounds All notes and sounds are intimately connected to the tone row and tone row methods Schoenberg still has melodies, accompaniments, and harmonies. Webern took things to the extreme, losing all of the above. Schoenberg used extremely romantic phrasing etc., Webern very intellectual Schoenberg still has melodies, accompaniments, and harmonies. Webern took things to the extreme, losing all of the above. Schoenberg used extremely romantic phrasing etc., Webern very intellectual |
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12 transpositions Each can be manipulated into these forms: Prime Inversion Retrograde Retrograde inversion
For a total of 48 versions of each row |
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with any 12-tone row paired with its inversion about an index number, we will always get equivalencies (ordered pairs (C, F#) and (F#, C). These pairs are duplicated for any row pairs with the same index number, ie P0 with i0, P3 with i9, P5 with i7, etc.
Schoenberg would choose pair row forms where the first hexachord of 1 was complimentary to the first hexachord of 2. Webern was obsessed with dyadic invariance.
In different movements, Webern varies the symmetry: maybe the axis, maybe the index number |
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eye music
Using unnatural ways of writing music to get somewhere novel. As much appeal to the eye as to the ear.
Pointilism is one form
Stasis and change: this kind of music is perceived more as a static object than as moving in time |
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Monophony Polyphony Homophony Heterophony Pointilism Sound Mass
How are the last two different? Others are based on melody |
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new textures Augenmusik Chunking music Stasis |
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Stasis and change: this kind of music is perceived more as a static object than as moving in time
Traditionally, development is assumed to be a value Starting with Debussy (and other French composers), moved away from development. More like highlighting different sounds, chords, etc. Like highlighting a single flavor in cooking.
“Oh, good, the development section. Now I can go out for a smoke break.” (quote from Debussy) |
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Sound mass is one type
In classical music, the notes are supreme. In 20th c music, the primary building blocks are bigger
How much of our musical structure has been determined by the discrete nature of notation and keyboards? |
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Musical Collage composers |
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Charles Ives (Central Park in the Dark) John Zorn (Speed Freaks Luciano Berio (Sinfonia) |
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explored polytonality collage composition |
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Collage music non-directional, determined completely by momentary action. Like cartoon music. Horizontal collage, not vertical like Ives Used game pieces to determine performance |
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Italian Music based around only one pitch, altered in all manners through microtonal oscillations, harmonic allusions, and changes in timbre and dynamics, Quattro pezzi su una nota sola |
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Draw a line and follow curves microtones Sharps: tilde on its side, single sharp, triple vertical sharp Flats: backwards, forwards, double with a slash, back plus forward |
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Up = doit Down = fall Down into the note = plop Up into the note = scoop |
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Pioneer of indeterminate music Used graphs and invented notation rhythms that seem to be free and floating; pitch shadings that seem softly unfocused; a generally quiet and slowly evolving music; recurring asymmetric patterns. also begins to explore extremes of duration. |
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Micropolyphony The effect is of slowly evolving sound mass Polyrhythm treats pulse as a musical "atom," indivisible 2001 Space Odyssey Atmospheres |
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Texture is a similar to that of polyphony, except that the polyphony is obscured in a dense and rich stack of pitches.
Micropolyphony can be used to create the nearly static but slowly evolving works such as Atmosphères in which the individual instruments become hidden in a complex web of sound. |
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Polyrhythm is the simultaneous use of two or more conflicting rhythms, that are not readily perceived as deriving from one another, or as simple manifestations of the same meter. The rhythmic conflict may be the basis of an entire piece of music (cross-rhythm), or a momentary disruption. Polyrhythms can be distinguished from irrational rhythms, which can occur within the context of a single part; polyrhythms require at least two rhythms to be played concurrently, one of which is typically an irrational rhythm. |
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Pioneered the use of mathematical models in music such as applications of set theory, stochastic processes and game theory Mathematics give it a shape, but also a justification--very European/German need Important influence on the development of electronic and computer music. Integrated music with architecture, designing music for pre-existing spaces, and designing spaces to be integrated with specific music compositions and performances.
Metastaseis (1953–54) for orchestra, which introduced independent parts for every musician of the orchestra; Compositions that introduced spatialization by dispersing musicians among the audience, such as Terretektorh (1966); Electronic works created using Xenakis's UPIC system; Massive multimedia performances Xenakis called polytopes. |
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Difference between Sound Mass and Pointilism |
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Sound Mass has so many notes that it creates a texture and gesture, not just individual sounds
Densities and colors |
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First works based on dense tone clusters, sound mass Later works based on semitones and tritones |
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Metronome time vs. stopwatch time |
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Ligeti uses “metronomic time” to accomplish “stopwatch time” Kevin was forced to create graphic metronomic time to avoid accidental synchronization and silences in stopwatch time
Takes the sound completely out of time, like a cloud of sound Removes all sense of pulse--requests no accents whatsoever |
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Cecil Taylor, Thelonious Monk, Ornette Coleman Albert Ayler |
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percussive and very flat-handed, stiff piano technique. Monk's compositions and improvisations feature dissonances and angular melodic twists and are consistent with his unorthodox approach to the piano, which combined a highly percussive attack with abrupt, dramatic use of switched key releases, silences, and hesitations. |
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Cecil Taylor influenced by Thelonious Monk (tone clusters), and by trends in 20th c classical music. Still had jazz chord changes underneath, but followed neither rhythms nor harmony. Dissonant chords, great variety of moods, melodies, etc, great technically. |
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Got beat up by bandmates for not playing “properly” Alto Saxophone Started by sounding a lot like Bebop Breakout Album: The Shape of Jazz to Come No piano (so chords are not overt) More in a single key area than strict changes Form is kind of gone--no 32-bar structure Rubato over a steady quarter note
theory of harmolodics: harmony + motion + melodics Talked about different transposing instruments, embracing the transpositions to generate music When you are improvising or even accompanying (“comping”), focus on melodic motives rather than harmony to structure the improvisation Simultaneity: in the same zone, but not lined up exactly Simultaneous improvisation with just a slight harmonic or melodic connection between parts |
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Not widely known, active in 1960s, died in 1970, body found in east river, unsolved Was a musician in the army Liked almost folk music sounding heads, then absolutely no holds barred improvisatory sections Quasi-spiritual titles |
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MaCarthur Fellowship, very interesting Afrocentric music theory which is more of a philosophical system Doesn’t believe in binaries, opposites No beginnings and ends, everything in terms of cycles History, race, music, destiny Doesn’t just compose music, composes musical worlds His own musicologist -- categorizes his own music and musical plans
Composition 124 (+30 + 96….) And that’s not even the real title Often has graphic titles for pieces, symbols, graphs, flow charts, etc Pieces where a large ensemble of transposing instruments all play from the the same staff in their different keys, with some freer segments
almost entirely melodically or motivically based--no swing, no chord changes, chromatic, atonal/12-tone. |
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neumes with more than one note in them--indicated a lot of information, not just pitch and duration. Individual puncta, notes, not part of the thinking original. Multiple parts dictated a need for final control, which eventually evolved into mensural notation. Braxton goes back to earlier forms, less specific. |
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Lamont Young Steve Reich Philip Glass
Satie proto minimalist: gentle, little motion, repetitive, modal John Cage was obsessed with Satie. Cage known for prepared piano, electronic music, repetitions, minimalism, chance, indeterminacy, percussion ensemble pieces, silence Lamont Young was a disciple of Cage, drones, long tones, just intonation, Eastern music Riley was a disciple of Young Glass, Reich have a feud going over who was first |
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Kinda Mormon Gilgal gardens interested in drones and in the harmonic series "I still remember the exact location and circumstances where I first heard a chord on a piano that was tuned to the harmonic series." Lamont Young, and other minimalists, are interested in removing us from our time into eternal time. Many pieces are very long in duration, and hard to study. Coaxes us to be aware of another realm
The virtual fountainhead of minimalism, constructed of hushed chords, built and sustained over incredibly long spans, separated by silences lasting up to 40 seconds |
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Schoenberg, Brahms, Wagner used developing variation: every time you repeat something it was a little bit different
This paradigm was inescapable in the early 20th century: never repeat anything. Everything must be developing variation, playing out Schoenberg’s dream but without his flair |
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Like God: create the algorithm and the soundscape, then let it roll. But if you don’t like what’s happening, definitely tweak the algorithm, over and over and over….
Phasing pieces use a minimal algorithm
Phased simultaneous identical melodies create compound melodies as they go in and out of phase
Art that goes beyond the intellect, where you can actually hear what is going on Seemed barbaric at the time Surrendering intellect to a process seemed bad, animalistic
Music as a gradual process |
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very spartan textures, in which every note can be clearly heard; carefully chosen timbres, often resulting in very detailed instructions to the performers and use of extended instrumental techniques; wide-ranging melodic lines, often with leaps greater than an octave; brevity Serialized everything: pitch, rhythm, register, timbre, dynamics, articulation, and melodic contour |
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Webern Karlheinz Stockhausen John Cage Christian Wolff Morton Feldman in 1960s |
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All is melodic if you perceive it that way: a succession of events in time
Cage was kind of anti-composition: don’t want to impose my will on sounds (so why compose?)
Cage was a student of Schoenberg--he studied the 12-tone method, and composed using that at first. This piece is a journey from quasi-serialism to chance, a first step toward chance
Cage also wrote “Music of Changes” Completely determined by chance
Ideas: Music can be any kind of sound The composer is not that important Music is not music until it is heard--a score is not a piece of music
Cage as a Buddhist Sense of nothingness as begin open to the divine
All is melodic if you perceive it that way: a succession of events in time
Cage was kind of anti-composition: don’t want to impose my will on sounds
Silence as important as sound--started by John Cage in the 30s, before Stockhausen Cage was really interested in unpitched sounds, noises. Noises can’t be ordered--multidimensional |
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Stockhausen looking for the smallest unit of meaning. Modernism is trying to figure out what you can do with those units.
Point, Group, and Mass
Cage, Feldman, and Wolff kept going with pointilism P. 44 Stockhausen replacing structure with texture even early on Can’t say exactly when pulse, dynamics will occur--just tendencies, curves But adding curves together creates a mass, with a distinctive shape Combining statistically similar shapes--like regression to a curve
Examining fundamental properties of sound--sometimes naive, sometimes not, very influential
Trying to replace traditional musical “chunks” with new ones: points, groups, masses instead of themes, motifs--
Can we form coherent music without resorting to any traditional forms?
Grundgestalt--German idea of form, traditional. Instead he creates a conceptual form for each piece-- each one must have its own logic, since you can’t fall back on traditional ones. In his music we hear densities, crowds coming together and then coming apart
Kreuzspiel serialized nearly everything
In Kreuzspiel there are only a very few alterations (see paragraphs in Morgan and in Stockhausen On Music). Makes a few alterations on purpose. For instance, there are 24 quasi-intuitive sfz notes corresponding with entrances of woodwinds. |
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Total serialism, serialization of parameters other than pitch. First composer to do this was Ruth Crawford Seeger Two movements in this: Post Darmstadt Milton Babbitt and his students--more mathematical
Karlheinz Stockhausen Pointillism: all possible characteristics must be differentiated from note to note. Otherwise, the notes form a group. Maximize contrast. |
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Dr. Asplund and polyrhythms |
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Polyrhythm is 2 meters superimposed on each other, so that they sometimes are coherent and sometimes interfere. For instance, 12 12 12 simultaneously with 123 123. If you sped it up you could actually hear the interference and coherence
Loop Isorythm species
Modification of adding a non-loop player: Loops are frequently used as a rhythmic texture, and often use a non-loop player simultaneously |
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Messiaen: Quartet for the End of Time |
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Piano has a talia (a rhythmic series) and a colour (a pitch series), like Medieval counterpoint Other three instrument also each have their own isorhythms. Result: each instrument is looping with itself (pitch and rhythm) and also with the other instruments Never the same, creates a sense of timelessness |
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in indeterminate music, a collection of notes that always happen together |
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Reading tone row matrices |
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letters are transpositions of the row numbers are the number of half steps from the first pitch matrix consists of all the transpositions, either all letters or all numbers. So it is a 12X12 matrix |
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Creating a tone row by applying a combination of transposition, retrograde, and/or inversion to a set of notes with fewer than 12 pitch classes; used to generate the rest of the row.
A derived row will often result in some form of invariance when contrapuntal operations are performed on it, due to the close relationship of its various trichords |
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When a row creates some sort of matching row to itself (by dyads, trichords, pentachords, etc) after contrapuntal operations such as inversion or retrograde are performed on it. |
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a tone row that contains exactly one of each type of ascending interval, from 1 to 11 half steps |
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A method of creating music from a snippet of a wave form Take a snippet of a wave form and repeat it--a way of freezing a sound as it is sounding. But you don’t want exact repetitions or you hear the beginning and ends--actually sounds a pitch if it gets fast enough.
Instead, layer (similar to micropolyphony) |
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the mirror inversion of the original set |
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the original set in reverse order |
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Retrograde Inversion of a tone row |
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the inversion in reverse order |
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