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Stockhausen has said the Klavierstücke "are my drawings " Stockhausen He composed the second set in —55 VI was subsequently revised several times and IX and X were finished only inand the single Klavierstück XI in Beginning inhe resumed composing Klavierstücke and finished eight more, but appears to have abandoned the plan for a set of 21 pieces.
The pieces from XV onward are for the synthesizer or similar electronic instruments, which Stockhausen had come to regard as the natural successor to the piano. The first four Klavierstücke together mark a stage in Stockhausen's evolution from point music to group composition Maconie The set is dedicated to Marcelle Mercenierthe Belgian pianist who performed the world premiere in Darmstadt on 21 August Decroupet Klavierstück Ithe last of the set to be composed, was written in just two days, after the composer had previously "merely prepared some measurements and relationships" Stockhausen Group composition is used throughout the piece, permeating its many layers: There are six of these series and therefore 36 groupsand when the six series klavier kennenlernen arranged in a square:.
Stockhausen later used one such klavier kennenlernen, 4 6 1 5 3 2, to determine the number of constituent pieces in each set for his planned cycle of 21 Klavierstücke Toop The important thing here, however, is that each of klavier kennenlernen duration units is filled out by one of the "sound forms" or "modes" of the sort used in Klavierstück II and many of Stockhausen's other works from — These two hexachords alternate regularly throughout the piece, but the internal order of the notes is freely permuted from one occurrence to the next Harvey23; Kohl; Rigoni bekanntschaften brandenburg an der havel, The notation Stockhausen used for Klavierstück I attracted much criticism when the klavier kennenlernen first appeared, notably from Boulez Maconie, and prompted klavier kennenlernen suggestions for how the player might deal with the complex, nested irrational rhythms Stein66—67; Henck a89— Leonard Stein 's suggestion that the outermost layer of proportion numbers could be replaced by changing metronome values, calculated from the fastest speed possible for the smallest note-values, was later incorporated into the published score as a footnote, but has been dismissed by one writer as "superfluous" and "a mistake", holding klavier kennenlernen "the piece online-partnervermittlungen vergleich playable in its own terms" by any pianist who can play ChopinLisztor Beethoven Maconie The pitch content of Klavierstück II consists of rotations of two groups of five pitches Sabbe36— According to klavier kennenlernen writer, the piece is a study in vertical bekanntschaften arad groups treated as electronic tone mixtures Maconie, though Stockhausen composed it ten months before his first practical experience in an electronic studio.
It consists of thirty groups, each of one bar, ranging in length from 1 8 to 5 8 and grouped in five multiples ranging klavier kennenlernen 4 to 8: Their exact nature and disposition, however, are a matter of debate Rigoni—27; Sabbe36— Register composition is often important in Stockhausen's works, but the only attempt to demonstrate a systematic treatment of registers in Klavierstück II klavier kennenlernen been only tentative Frisius Klavierstück IIIthe smallest of the cycle and the shortest of all Stockhausen's compositions Kohl, has been compared by Rudolph Stephan to a German lied: Other writers have held that such appeals to traditional formal procedures are inappropriate Schnebel, and find Stephan's analysis "helpless in the face of the true significance of the work" Blumröder Rhythmically, according to one analysis, the piece consists of variants and superpositions of the initial sequence of six kennenlernen substantivierung, expressed klavier kennenlernen two groups of three long-short-short and short-long-medium —a possible but surprising early reaction to Olivier Messiaen 's rhythmic cell method Maconie klavier kennenlernen, —20whereas Klavierstück II introduces non-retrogradable i.
According to another analysis, it is the pattern of the klavier kennenlernen five notes, and thus a proportioned time structure based on fives runs through the entire piece Schnebel— Analyses of the pitch material have fallen broadly into two camps. One, initiated by Robin Maconie63holds that the piece is constructed from chromatic tetrachords; the other, founded by Dieter Schnebeland continued by Jonathan Harvey24—27maintains that the basis is actually a five-note set, consisting of that same tetrachord klavier kennenlernen a note a minor third above 0,1,2,3,6and ordered as a series: In a passing reference to this piece, the Dutch klavier kennenlernen Ton de Leeuw presents these same klavier kennenlernen notes in ascending scale order, which he describes as "rudiments of the note series", but does not explain whether his diagram is to be understood as an ordered row or an unordered collection Leeuw— This same set, treated as unorderedhas been taken as a starting point for a lengthy klavier kennenlernen by David Lewin16—67while Klavier kennenlernen von Blumröder—54 has published one nearly as long favouring Klavier kennenlernen view.
One reviewer has judged Blumröder's analysis as klavier kennenlernen conclusive demonstration that klavier kennenlernen tetrachord is in fact the compositional basis, while conceding that Harvey and Lewin's männer kennenlernen schweiz remains a valid construal of the piece viewed as a finished klavier kennenlernen Kohl The composer specifically cited Klavierstück IV as an example of point music Stockhausen Nevertheless, its "note points", are collected into groups and layers by means of some features klavier kennenlernen remain constant e.
This piece is written in strictly linear two-part counterpoint, and features progressive shortening of fundamental klavier kennenlernen by serial fractions. Each note is either followed or preceded by a rest, and so the termination of a note can serve as a klavier kennenlernen to a point in time as an alternative to the beginning of klavier kennenlernen note playing the same role Maconie— The identities of the klavier kennenlernen contrapuntal strands are achieved not through register or pitch material, but solely klavier kennenlernen dynamics: However, these distinct dynamic categories are eroded over the course of the piece by the increasing addition of intermediate dynamic values Frisius Pierre Boulez was an early admirer of the piece: Two others on the contrary describe it as a succession of chromatic aggregates, organized primarily by registral position.
This starts from fixing the notes in a perfectly regular pattern of minor ninths, "wrapping around" from the extreme high to the extreme low register or low to high, depending on the direction taken as the upper or lower limit of the keyboard is reached twiceso as to create an unbroken cycle. In the ascending direction: From this starting disposition, progressive changing of note registers somehow plays a role in shaping the subsequent course of the piece Frisius; Frisius73; Rigoni The second set of Klavierstücke was begun late in or at the end of January Toop; Kurtz65while Stockhausen was in the midst of work on his Second Electronic Study.
His decision to again compose for conventional instruments was prompted chiefly by a renewed interest in unmeasurable, " irrational " factors in instrumental music. These were expressed by such things as modes of attack involving complex physical actions, or the interplay of metrical time with durations determined subjectively, by physical actions notated as grace notesto be played "as fast as possible" Toop Stockhausen's collective term for these kinds of subjective elements klavier kennenlernen "variable form" Stockhausen, The first four pieces of this second set, V—VIIIoriginally conceived to be of about the same size as pieces I—IVwere composed fairly rapidly, during Having gotten this far, however, Stockhausen seems to have found them unsatisfactory for two reasons: Klavierstück V was considerably lengthened from its original conception, and the original pieces VI and VII were discarded and replaced by new, much larger pieces Toop Though planned at klavier kennenlernen same time, numbers IX and X were not actually composed untilby which time their conception had completely changed, and the set was only published inby which time Klavierstück VI had undergone several further substantial revisions Toop a93; Toop b26; Toop Over the course of this second set, it becomes increasingly easier to perceive the overall, as opposed to local, structure, as the basic types of material become more highly differentiated and are isolated from each other by increasingly significant use of silence Smalley The original plan for these six pieces, drafted early inis based on the following number square Toop aklavier kennenlernen Toop The first row is an all-interval seriesand the remaining rows are transpositions of the first onto each of its members Toop a, 93— One basic idea for this set is that each piece should have a different number of main klavier kennenlernen from 1 one to 6klavier kennenlernen identified by a different tempo.
Stockhausen arrives at the number of main sections or "tempo groups" for each piece from the second line of the basic square, thus 6 sections for Klavierstück V4 for Klavierstück VIetc. The rows of square 1 starting from klavier kennenlernen beginning are klavier kennenlernen used to determine the number of subsections in each tempo group, so the six tempo groups in Klavierstück V are subdivided into 2, 6, 1, 4, 3, and 5 subgroups, Klavierstück VI into 6, 4, 5, and 2 subgroups, etc.
Toop a94— Another five squares are derived from this first one, by starting with its second, third, etc. These six squares "furnish a sufficiently large number of proportions for all the pieces in the cycle, but apart from determining the tempo groups and main subdivisions, they do very little to precondition the actual content of each piece, or indeed the number klavier kennenlernen features to which the squares are applied" Toop a95— Klavierstück V was originally a study concentrating on flamboyantly spaced groups of grace notes centred around long "central klavier kennenlernen.
Stockhausen drastically revised and expanded this early version, bringing the grace-note groups into less extreme registers, then using the result as a background for an entirely new set of superimposed figurations based on series quite klavier kennenlernen to the original material Toop The piece is in six sections, each in a different tempo, with the fastest tempos in the middle and the slowest at the end. Each section is made up of several groups, of great variety and distinctiveness, ranging from a single, short note near the end of the sixth section to a group of forty-seven notes in the third section Harvey35— These three possibilities are doubled to six by the use or non-use of the pedal Toop Stockhausen described klavier kennenlernen particular character of the groups klavier kennenlernen Klavierstück V:.
A specific color tints such a "head"—or core—of a sound structure, by means of the intervals of the notes which ring together. Stockhausen This piece has been described klavier kennenlernen "the s counterpart of a Chopin nocturne, elegant and crystalline" Toop Klavierstück VI exists in four versions: The first, discarded version of Klavierstück VI used symmetrical, fixed-register chords together with groups of grace-note chords around measured groups of single notes.
The symmetrical pitch structure was klavier kennenlernen modelled on the interlocking chords at the klavier kennenlernen of Webern 's Symphony, but the narrow, claustrophobic high register of the piano piece and its "spasmodic, twitching rhythms" combine to give it a character suitable only for a short piece Toop— On 5 Decembershortly after completing the second version, Stockhausen wrote to his friend Henri Pousseurexpressing great satisfaction with his new piece, which had taken three months and now came to fourteen pages quoted in Toop b26; Toop23and to Karel Goeyvaerts he wrote "It's pure, but alive" Toop By Januaryhowever, he had decided the harmony was not "clean" enough, and completely rewrote the piece again Toop b26; Toop A notational innovation introduced in the final version of this piece is the graphical indication of tempo changes on a line staff.
A rising line indicates accelerandoa descending line represents ritardandoand the line vanishes altogether when there is a rest. This notation is more precise than the traditional indications Maconie; Rigoni Klavierstück VII was originally composed as an attempt to re-integrate periodic rhythms into serial structures Toop, and in this form was completed on 3 August Decroupet The process of composition already had entailed a number of revisions, and Stockhausen finally abandoned this version, evidently in part because of the drastic reduction in rhythmic subtlety, but also because of persistent difficulties in avoiding strong tonal implications caused by klavier kennenlernen chosen serial conception of the pitch structure.
The resulting Webern-cum-Messiaen harmony possesses a hothouse beauty recalling the heady, decadent world of Wagner's Tristan and Duparc 's L'extasebut was stylistically so out of place with the other Klavierstücke that it is easy to understand why Stockhausen abandoned it Toop— Like the original, discarded piece, the new version is divided into five tempo-defined sections MM 40, The most striking feature of Klavierstück VII is the establishment of resonances by silently depressed keys, which are then set into vibration by accented klavier kennenlernen notes Maconie Although note is counterbalanced by a group of grace notes preceding its next entry, and by other tones, the opening few bars "tend to group around this unassailable centre" Grant This is achieved by silently depressed keys and by use of the middle pedal, in order to release the dampers so that certain notes may be set into sympathetic vibration by striking other notes.
In this way many different timbres can be created for the same pitch. The repetitions of these central notes makes them particularly obvious Stockhausen Klavierstück VIII is the only piece in this set of six that adheres closely to the original plan.
It consists of two tempo groups tempo no. Klavierstück IX presents two strongly contrasted ideas, an incessantly repeated four-note chord at a moderately fast speed in periodic rhythms, and a slowly rising chromatic scale with each note of a different duration.
These ideas are alternated and juxtaposed, and finally resolved in the appearance of a new texture of irregularly spaced fast periodic groups in the upper register Smalley klavier kennenlernen, 31— Stockhausen deliberately exploits the impossibility of playing klavier kennenlernen four tones of the repeated chords at exactly the same time and intensity another example of "variable klavier kennenlernenso that kennenlernen wedel tones constantly and involuntarily shift in prominence.
The idea of this repeated-chord variability was inspired by an improvisation Mary Bauermeister made on the piano in Doris's and Karlheinz's apartment in Cologne-Braunsfeld when, probably with non-European music in mind, she repeated a single chord on the piano, varying finger-pressure slightly on the individual chord tones from one repetition to the next to produce a kind of micro-melody Bauermeister The rhythmic proportions throughout this piece are governed by the Fibonacci series Kramer—25 klavier kennenlernen, used both directly 1, 2, 3, 5, 8, 13, 21, etc.
Frisius The aural character of the tenth Klavierstück is dominated by the use of tone clusterswhich occur in a variety of sizes as well as in cluster glissandos, which are the most important aspect klavier kennenlernen the work's unique sonic flavour.
The performance of them requires the performer to wear klavier kennenlernen with the fingers cut away Godwin In Klavierstück XStockhausen composed structures in series of varying degrees of order and disorder, where greater order is connected with lower density and a higher isolation of events. Over the klavier kennenlernen of the piece, there is a process of mediation between disorder and order.
From a uniform initial state of great disorder, there emerges an increasing number of ever more concentrated figures. By the end, the figures become unified into a higher supraordinate Gestalt Stockhausen Stockhausen abandoned the original plan for this piece, which prescribed three large sections, and replaced klavier kennenlernen with a new plan based on scales klavier kennenlernen seven elements. A klavier kennenlernen series beginning with the strongest contrasts and progressing toward the leute kennenlernen value was chosen: The overall form is produced from this series in a complex way, resulting in a seven-phase form, to which Stockhausen added an eighth, preliminary section which compresses the seven main phases into a single klavier kennenlernen Henck b
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