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122-467: Gruppen ( German : Groups ) for three orchestras (1955–57) is amongst the best-known compositions of German composer Karlheinz Stockhausen , and is Work Number 6 in the composer's catalog of works. Gruppen is "a landmark in 20th-century music ... probably the first work of the post-war generation of composers in which technique and imagination combine on the highest level to produce an undisputable masterpiece". Early in 1955 Stockhausen received

244-460: A de facto official language of Namibia after the end of German colonial rule alongside English and Afrikaans , and had de jure co-official status from 1984 until its independence from South Africa in 1990. However, the Namibian government perceived Afrikaans and German as symbols of apartheid and colonialism, and decided English would be the sole official language upon independence, stating that it

366-428: A pitch center ; a composer can create music centered on one or more of the row's constituent pitches by emphasizing or avoiding these subsets, respectively, as well as through other, more complex compositional devices. To serialize other elements of music, a system quantifying an identifiable element must be created or defined (this is called " parametrization ", after the term in mathematics). For example, if duration

488-402: A second language , and 75–100   million as a foreign language . This would imply the existence of approximately 175–220   million German speakers worldwide. German sociolinguist Ulrich Ammon estimated a number of 289 million German foreign language speakers without clarifying the criteria by which he classified a speaker. As of 2012 , about 90   million people, or 16% of

610-453: A set —or row —of pitches or pitch classes ) is used in order or manipulated in particular ways to give a piece unity. "Serial" is often broadly used to describe all music written in what Schoenberg called "The Method of Composing with Twelve Notes related only to one another", or dodecaphony , and methods that evolved from his methods. It is sometimes used more specifically to apply only to music in which at least one element other than pitch

732-587: A "commonly used" language and the Pan South African Language Board is obligated to promote and ensure respect for it. Cameroon was also a colony of the German Empire from the same period (1884 to 1916). However, German was replaced by French and English, the languages of the two successor colonial powers, after its loss in World War I . Nevertheless, since the 21st century, German has become

854-459: A brief period of free atonality, Schoenberg and others began exploring tone rows, in which an ordering of the 12 pitches of the equal-tempered chromatic scale is used as the source material of a composition. This ordered set, often called a row, allowed for new forms of expression and (unlike free atonality) the expansion of underlying structural organizing principles without recourse to common practice harmony. Twelve-tone serialism first appeared in

976-433: A chromatic rhythm scale in his Vingt Regards sur l'enfant-Jésus (1944), but he did not employ a rhythmic series until 1946–48, in the seventh movement, "Turangalîla II", of his Turangalîla-Symphonie . The first examples of such integral serialism are Babbitt's Three Compositions for Piano (1947), Composition for Four Instruments (1948), and Composition for Twelve Instruments (1948). He worked independently of

1098-509: A commission from WDR for a new orchestral composition, but his ongoing work on Gesang der Jünglinge prevented him from starting right away. In August and September, he took the opportunity to retreat to an inexpensive rented room in the attic of a parsonage in Paspels , Switzerland, recommended to him by a colleague, Paul Gredinger . Surrounded by the splendour of the Graubünden alps, he created

1220-440: A contributing problem is that the word "serial" is seldom if ever defined. In many published analyses of individual pieces the term is used while actual meaning is skated around. Due to Babbitt's work, in the mid-20th century serialist thought became rooted in set theory and began to use a quasi-mathematical vocabulary for the manipulation of the basic sets. Musical set theory is often used to analyze and compose serial music, and

1342-520: A fashion that goes beyond Webern but was less thoroughgoing than the later practices of Babbitt and European postwar composers. Charles Ives 's 1906 song "The Cage" begins with piano chords presented in incrementally decreasing durations, an early example of an overtly arithmetic duration series independent of meter (like Nono's six-element row shown above), and in that sense a precursor to Messiaen's style of integral serialism. The idea of organizing pitch and rhythm according to similar or related principles

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1464-516: A form of post-tonal thinking. Twelve-tone technique orders the twelve notes of the chromatic scale , forming a row or series and providing a unifying basis for a composition's melody , harmony , structural progressions, and variations . Other types of serialism also work with sets , collections of objects, but not necessarily with fixed-order series, and extend the technique to other musical dimensions (often called " parameters "), such as duration , dynamics , and timbre . The idea of serialism

1586-556: A greater need for regularity in written conventions. While the major changes of the MHG period were socio-cultural, High German was still undergoing significant linguistic changes in syntax, phonetics, and morphology as well (e.g. diphthongization of certain vowel sounds: hus (OHG & MHG "house") → haus (regionally in later MHG)→ Haus (NHG), and weakening of unstressed short vowels to schwa [ə]: taga (OHG "days")→ tage (MHG)). A great wealth of texts survives from

1708-454: A limited number of elements". Stockhausen described the final synthesis in this manner: So serial thinking is something that's come into our consciousness and will be there forever: it's relativity and nothing else. It just says: Use all the components of any given number of elements, don't leave out individual elements, use them all with equal importance and try to find an equidistant scale so that certain steps are no larger than others. It's

1830-554: A means of composing atonal music . "Serial music" is a problematic term because it is used differently in different languages and especially because, shortly after its coinage in French, it underwent essential alterations during its transmission to German. The term's use in connection with music was first introduced in French by René Leibowitz in 1947, and immediately afterward by Humphrey Searle in English, as an alternative translation of

1952-516: A mode of composition called "total serialism", in which every aspect of a piece, not just pitch, is serially constructed. Perle's 1962 text Serial Composition and Atonality became a standard work on the origins of serial composition in the music of Schoenberg, Berg, and Webern. The serialization of rhythm , dynamics , and other elements of music was partly fostered by the work of Olivier Messiaen and his analysis students, including Karel Goeyvaerts and Boulez, in postwar Paris . Messiaen first used

2074-421: A more extensive explanation of the serialism (and atonality) controversy. Within the community of modern music, exactly what constituted serialism was also a matter of debate. The conventional English usage is that the word "serial" applies to all twelve-tone music, which is a subset of serial music, and it is this usage that is generally intended in reference works. Nevertheless, a large body of music exists that

2196-453: A native tongue today, mostly descendants of German colonial settlers . The period of German colonialism in Namibia also led to the evolution of a Standard German-based pidgin language called " Namibian Black German ", which became a second language for parts of the indigenous population. Although it is nearly extinct today, some older Namibians still have some knowledge of it. German remained

2318-400: A particular number of notes which are joined, by means of related proportions, into a superordinate experiential quality (namely, the group). The various groups in a composition have various proportional features—various structures—but they are interrelated in that the properties of one group may only be understood by comparing them in degree of relationship with the other groups". This category

2440-679: A popular foreign language among pupils and students, with 300,000 people learning or speaking German in Cameroon in 2010 and over 230,000 in 2020. Today Cameroon is one of the African countries outside Namibia with the highest number of people learning German. In the United States, German is the fifth most spoken language in terms of native and second language speakers after English, Spanish , French , and Chinese (with figures for Cantonese and Mandarin combined), with over 1 million total speakers. In

2562-455: A preordained set of pitches is repeatedly reconfigured ... The composer's model for the distributive serial process corresponds to a development of the Zwölftonspiel of Josef Matthias Hauer". Goeyvaerts's Nummer 4 provides a classic illustration of the distributive function of seriality: 4 times an equal number of elements of equal duration within an equal global time is distributed in

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2684-475: A result, the surviving texts are written in highly disparate regional dialects and exhibit significant Latin influence, particularly in vocabulary. At this point monasteries, where most written works were produced, were dominated by Latin, and German saw only occasional use in official and ecclesiastical writing. While there is no complete agreement over the dates of the Middle High German (MHG) period, it

2806-437: A series of "process-plan" works in the late 1960s, as well as later in portions of Licht , the cycle of seven operas he composed between 1977 and 2003. In the late 19th and early 20th century, composers began to struggle against the ordered system of chords and intervals known as "functional tonality ". Composers such as Debussy and Strauss found ways to stretch the limits of the tonal system to accommodate their ideas. After

2928-451: A spiritual and democratic attitude toward the world. The stars are organized in a serial way. Whenever you look at a certain star sign you find a limited number of elements with different intervals. If we more thoroughly studied the distances and proportions of the stars we'd probably find certain relationships of multiples based on some logarithmic scale or whatever the scale may be. Stravinsky's adoption of twelve-tone serial techniques shows

3050-415: A succession of different situations that are sometimes chromatic and dissonant and sometimes diatonic and consonant. In his opera Votre Faust ( Your Faust , 1960–68) Pousseur used many quotations, themselves arranged into a "scale" for serial treatment. This "generalised" serialism (in the strongest possible sense) aims not to exclude any musical phenomena, no matter how heterogeneous, in order "to control

3172-448: A tritone. In other words, the row is "degenerate", in that the second hexachord is a retrograde of the first, transposed by six semitones. However, Stockhausen does not exploit the specific twelve-tone compositional applications of such a row, which suggests that either Stockhausen was not interested in or did not know about them. Because of the chord transformations that emerge between rehearsal numbers 118 and 120 it appears that Stockhausen

3294-688: Is a West Germanic language in the Indo-European language family , mainly spoken in Western and Central Europe . It is the most spoken native language within the European Union . It is the most widely spoken and official (or co-official) language in Germany , Austria , Switzerland , Liechtenstein , and the Italian autonomous province of South Tyrol . It is also an official language of Luxembourg , Belgium and

3416-413: Is a method, "highly specialized technique", or "way" of composition . It may also be considered "a philosophy of life ( Weltanschauung ), a way of relating the human mind to the world and creating a completeness when dealing with a subject". Serialism is not by itself a system of composition or a style. Neither is pitch serialism necessarily incompatible with tonality, though it is most often used as

3538-580: Is a recognized minority language in the following countries: In France, the High German varieties of Alsatian and Moselle Franconian are identified as " regional languages ", but the European Charter for Regional or Minority Languages of 1998 has not yet been ratified by the government. Namibia also was a colony of the German Empire, from 1884 to 1915. About 30,000 people still speak German as

3660-1434: Is also applied in various ways in the visual arts , design , and architecture , and the musical concept has also been adapted in literature. Integral serialism or total serialism is the use of series for aspects such as duration, dynamics, and register as well as pitch. Other terms, used especially in Europe to distinguish post-World War II serial music from twelve-tone music and its American extensions, are general serialism and multiple serialism . Composers such as Arnold Schoenberg , Anton Webern , Alban Berg , Karlheinz Stockhausen , Pierre Boulez , Luigi Nono , Milton Babbitt , Elisabeth Lutyens , Henri Pousseur , Charles Wuorinen and Jean Barraqué used serial techniques of one sort or another in most of their music. Other composers such as Tadeusz Baird , Béla Bartók , Luciano Berio , Bruno Maderna , Franco Donatoni , Benjamin Britten , John Cage , Aaron Copland , Ernst Krenek , György Ligeti , Olivier Messiaen , Arvo Pärt , Walter Piston , Ned Rorem , Alfred Schnittke , Ruth Crawford Seeger , Dmitri Shostakovich , and Igor Stravinsky used serialism only in some of their compositions or only in some sections of pieces, as did some jazz composers, such as Bill Evans , Yusef Lateef , Bill Smith , and even rock musicians like Frank Zappa . Serialism

3782-547: Is also notable for its broad spectrum of dialects , with many varieties existing in Europe and other parts of the world. Some of these non-standard varieties have become recognized and protected by regional or national governments. Since 2004, heads of state of the German-speaking countries have met every year, and the Council for German Orthography has been the main international body regulating German orthography . German

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3904-404: Is also sometimes used in tonal and nonserial atonal analysis. The basis for serial composition is Schoenberg's twelve-tone technique, where the 12 notes of the chromatic scale are organized into a row. This "basic" row is then used to create permutations, that is, rows derived from the basic set by reordering its elements. The row may be used to produce a set of intervals, or a composer may derive

4026-547: Is also suggested by both Henry Cowell 's New Musical Resources (1930) and the work of Joseph Schillinger . the first time I ever heard Webern in a concert performance …[t]he impression it made on me was the same as I was to experience a few years later when … I first laid eyes on a Mondriaan canvas...: those things, of which I had acquired an extremely intimate knowledge, came across as crude and unfinished when seen in reality. Karel Goeyvaerts on Anton Webern 's music. Some music theorists have criticized serialism on

4148-546: Is an Indo-European language that belongs to the West Germanic group of the Germanic languages . The Germanic languages are traditionally subdivided into three branches: North Germanic , East Germanic , and West Germanic . The first of these branches survives in modern Danish , Swedish , Norwegian , Faroese , and Icelandic , all of which are descended from Old Norse . The East Germanic languages are now extinct, and Gothic

4270-430: Is called "serial" but does not employ note-rows at all, let alone twelve-tone technique, e.g., Stockhausen's Klavierstücke I–IV (which use permuted sets), his Stimmung (with pitches from the overtone series , which is also used as the model for the rhythms), and Pousseur's Scambi (where the permuted sounds are made exclusively from filtered white noise ). When serialism is not limited to twelve-tone techniques,

4392-472: Is called the "German Sprachraum ". German is the official language of the following countries: German is a co-official language of the following countries: Although expulsions and (forced) assimilation after the two World wars greatly diminished them, minority communities of mostly bilingual German native speakers exist in areas both adjacent to and detached from the Sprachraum. Within Europe, German

4514-430: Is complicated by the existence of several varieties whose status as separate "languages" or "dialects" is disputed for political and linguistic reasons, including quantitatively strong varieties like certain forms of Alemannic and Low German . With the inclusion or exclusion of certain varieties, it is estimated that approximately 90–95 million people speak German as a first language , 10–25   million speak it as

4636-504: Is contrasted with the " punctual " style of early Darmstadt serialism , which nevertheless also occurs in Gruppen , along with a third category of "collective" or "statistical" swarms or crowds, too dense for the listener to be able to accurately distinguish individual notes or their order of succession. Consequently, the importance of individual notes is relatively low, so that sonority, density, speed, dynamics, and direction of movement become

4758-520: Is generally seen as ending when the 1346–53 Black Death decimated Europe's population. Modern High German begins with the Early New High German (ENHG) period, which Wilhelm Scherer dates 1350–1650, terminating with the end of the Thirty Years' War . This period saw the further displacement of Latin by German as the primary language of courtly proceedings and, increasingly, of literature in

4880-595: Is generally seen as lasting from 1050 to 1350. This was a period of significant expansion of the geographical territory occupied by Germanic tribes, and consequently of the number of German speakers. Whereas during the Old High German period the Germanic tribes extended only as far east as the Elbe and Saale rivers, the MHG period saw a number of these tribes expanding beyond this eastern boundary into Slavic territory (known as

5002-559: Is less closely related to languages based on Low Franconian dialects (e.g., Dutch and Afrikaans), Low German or Low Saxon dialects (spoken in northern Germany and southern Denmark ), neither of which underwent the High German consonant shift. As has been noted, the former of these dialect types is Istvaeonic and the latter Ingvaeonic, whereas the High German dialects are all Irminonic; the differences between these languages and standard German are therefore considerable. Also related to German are

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5124-443: Is more a referential abstraction than a description of the concrete reality of a musical work that is termed "serial". A series may be divided into subsets, and the members of the aggregate not part of a subset are said to be its complement . A subset is self-complementing if it contains half of the set and its complement is also a permutation of the original subset. This is most commonly seen with hexachords , six-note segments of

5246-451: Is not an order of succession, but indeed a hierarchy—which may be independent of this order of succession". Rules of analysis derived from twelve-tone theory do not apply to serialism of the second type: "in particular the ideas, one, that the series is an intervallic sequence, and two, that the rules are consistent". For example, Stockhausen's early serial works, such as Kreuzspiel and Formel , "advance in unit sections within which

5368-435: Is one of the major languages of the world . German is the second-most widely spoken Germanic language , after English, both as a first and as a second language . German is also widely taught as a foreign language , especially in continental Europe (where it is the third most taught foreign language after English and French), and in the United States. Overall, German is the fourth most commonly learned second language, and

5490-587: Is one of the three biggest newspapers in Namibia and the only German-language daily in Africa. An estimated 12,000 people speak German or a German variety as a first language in South Africa, mostly originating from different waves of immigration during the 19th and 20th centuries. One of the largest communities consists of the speakers of "Nataler Deutsch", a variety of Low German concentrated in and around Wartburg . The South African constitution identifies German as

5612-401: Is partly derived from Latin and Greek , along with fewer words borrowed from French and Modern English . English, however, is the main source of more recent loanwords . German is a pluricentric language ; the three standardized variants are German , Austrian , and Swiss Standard German . Standard German is sometimes called High German , which refers to its regional origin. German

5734-407: Is played out. And the chromatic total remains active only, and provisionally, as a general reference. In the 1960s Pousseur took this a step further, applying a consistent set of predefined transformations to preexisting music. One example is the large orchestral work Couleurs croisées ( Crossed Colours , 1967), which performs these transformations on the protest song " We Shall Overcome ", creating

5856-545: Is serialized, a set of durations must be specified; if tone colour (timbre) is serialized, a set of separate tone colours must be identified; and so on. The selected set or sets, their permutations and derived sets form the composer's basic material. Composition using twelve-tone serial methods focuses on each appearance of the collection of twelve chromatic notes, called an aggregate . (Sets of more or fewer pitches, or of elements other than pitch, may be treated analogously.) One principle operative in some serial compositions

5978-465: Is that no element of the aggregate should be reused in the same contrapuntal strand (statement of a series) until all the other members have been used, and each member must appear only in its place in the series. Yet, since most serial compositions have multiple (at least two, sometimes as many as a few dozen) series statements occurring concurrently, interwoven with each other in time, and feature repetitions of some of their pitches, this principle as stated

6100-510: Is the Sachsenspiegel , the first book of laws written in Middle Low German ( c.  1220 ). The abundance and especially the secular character of the literature of the MHG period demonstrate the beginnings of a standardized written form of German, as well as the desire of poets and authors to be understood by individuals on supra-dialectal terms. The Middle High German period

6222-566: Is the only language in this branch which survives in written texts. The West Germanic languages, however, have undergone extensive dialectal subdivision and are now represented in modern languages such as English, German, Dutch , Yiddish , Afrikaans , and others. Within the West Germanic language dialect continuum, the Benrath and Uerdingen lines (running through Düsseldorf - Benrath and Krefeld - Uerdingen , respectively) serve to distinguish

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6344-442: Is treated as a row or series. Such methods are often called post-Webernian serialism . Other terms used to make the distinction are twelve-note serialism for the former and integral serialism for the latter. A row may be assembled pre-compositionally (perhaps to embody particular intervallic or symmetrical properties), or derived from a spontaneously invented thematic or motivic idea. The row's structure does not in itself define

6466-481: Is understood in all areas where German is spoken. Approximate distribution of native German speakers (assuming a rounded total of 95 million) worldwide: As a result of the German diaspora , as well as the popularity of German taught as a foreign language , the geographical distribution of German speakers (or "Germanophones") spans all inhabited continents. However, an exact, global number of native German speakers

6588-673: The Ostsiedlung ). With the increasing wealth and geographic spread of the Germanic groups came greater use of German in the courts of nobles as the standard language of official proceedings and literature. A clear example of this is the mittelhochdeutsche Dichtersprache employed in the Hohenstaufen court in Swabia as a standardized supra-dialectal written language. While these efforts were still regionally bound, German began to be used in place of Latin for certain official purposes, leading to

6710-627: The Alamanni , Bavarian, and Thuringian groups, all belonging to the Elbe Germanic group ( Irminones ), which had settled in what is now southern-central Germany and Austria between the second and sixth centuries, during the great migration. In general, the surviving texts of Old High German (OHG) show a wide range of dialectal diversity with very little written uniformity. The early written tradition of OHG survived mostly through monasteries and scriptoria as local translations of Latin originals; as

6832-522: The Early Middle Ages . German is an inflected language , with four cases for nouns, pronouns, and adjectives (nominative, accusative, genitive, dative); three genders (masculine, feminine, neuter) and two numbers (singular, plural). It has strong and weak verbs . The majority of its vocabulary derives from the ancient Germanic branch of the Indo-European language family, while a smaller share

6954-417: The European Union 's population, spoke German as their mother tongue, making it the second most widely spoken language on the continent after Russian and the second biggest language in terms of overall speakers (after English), as well as the most spoken native language. The area in central Europe where the majority of the population speaks German as a first language and has German as a (co-)official language

7076-514: The German states . While these states were still part of the Holy Roman Empire , and far from any form of unification, the desire for a cohesive written language that would be understandable across the many German-speaking principalities and kingdoms was stronger than ever. As a spoken language German remained highly fractured throughout this period, with a vast number of often mutually incomprehensible regional dialects being spoken throughout

7198-724: The Holy Roman Emperor Maximilian I , and the other being Meißner Deutsch , used in the Electorate of Saxony in the Duchy of Saxe-Wittenberg . Alongside these courtly written standards, the invention of the printing press led to the development of a number of printers' languages ( Druckersprachen ) aimed at making printed material readable and understandable across as many diverse dialects of German as possible. The greater ease of production and increased availability of written texts brought about increased standardisation in

7320-644: The Old High German language in several Elder Futhark inscriptions from as early as the sixth century AD (such as the Pforzen buckle ), the Old High German period is generally seen as beginning with the Abrogans (written c.  765–775 ), a Latin-German glossary supplying over 3,000 Old High German words with their Latin equivalents. After the Abrogans , the first coherent works written in Old High German appear in

7442-503: The Quintette [ à la mémoire d’Anton Webern , 1955], and from around the time of Impromptu [1955] encounters whole new dimensions of application and new functions. The twelve-tone series loses its imperative function as a prohibiting, regulating, and patterning authority; its working-out is abandoned through its own constant-frequent presence: all 66 intervallic relations among the 12 pitches being virtually present. Prohibited intervals, like

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7564-640: The Sprachraum in Europe. German is used in a wide variety of spheres throughout the country, especially in business, tourism, and public signage, as well as in education, churches (most notably the German-speaking Evangelical Lutheran Church in Namibia (GELK) ), other cultural spheres such as music, and media (such as German language radio programs by the Namibian Broadcasting Corporation ). The Allgemeine Zeitung

7686-536: The Standard German language in its written form, and the Duden Handbook was declared its standard definition. Punctuation and compound spelling (joined or isolated compounds) were not standardized in the process. The Deutsche Bühnensprache ( lit.   ' German stage language ' ) by Theodor Siebs had established conventions for German pronunciation in theatres , three years earlier; however, this

7808-454: The Upper German dialects spoken in the southern German-speaking countries , such as Swiss German ( Alemannic dialects ) and the various Germanic dialects spoken in the French region of Grand Est , such as Alsatian (mainly Alemannic, but also Central–and   Upper Franconian dialects) and Lorraine Franconian (Central Franconian). After these High German dialects, standard German

7930-449: The WDR electronic music studio . Gruppen was performed twice on the programme, with the world premiere of Pierre Boulez 's Third Piano Sonata , performed by the composer, in between. A large orchestra of 109 players is divided into three orchestral units, each with its own conductor , which are deployed in a horseshoe shape to the left, front, and right of the audience. The spatial separation

8052-462: The pagan Germanic tradition. Of particular interest to scholars, however, has been the Hildebrandslied , a secular epic poem telling the tale of an estranged father and son unknowingly meeting each other in battle. Linguistically, this text is highly interesting due to the mixed use of Old Saxon and Old High German dialects in its composition. The written works of this period stem mainly from

8174-440: The "information extracted", "perceptual opacity", "auditive presentation" (and constraints thereof) pertain to what defines serialism, namely use of a series. And since Schoenberg remarked, "in the later part of a work, when the set [series] had already become familiar to the ear", it has been assumed that serial composers expect their series to be aurally perceived. This principle even became the premise of empirical investigation in

8296-566: The 1920s, with antecedents predating that decade (instances of 12-note passages occur in Liszt's Faust Symphony and in Bach. ) Schoenberg was the composer most decisively involved in devising and demonstrating the fundamentals of twelve-tone serialism, though it is clear it is not the work of just one musician. In Schoenberg's own words, his goal of l'invention contrariée was to show constraint in composition. Consequently, some reviewers have jumped to

8418-452: The 1950s he used procedures related to Messiaen, Webern and Berg. While it is inaccurate to call them all "serial" in the strict sense, all his major works of the period have clear serialist elements. During this period, the concept of serialism influenced not only new compositions but also scholarly analysis of the classical masters. Adding to their professional tools of sonata form and tonality , scholars began to analyze previous works in

8540-714: The Empire. Its use indicated that the speaker was a merchant or someone from an urban area, regardless of nationality. Prague (German: Prag ) and Budapest ( Buda , German: Ofen ), to name two examples, were gradually Germanized in the years after their incorporation into the Habsburg domain; others, like Pressburg ( Pozsony , now Bratislava), were originally settled during the Habsburg period and were primarily German at that time. Prague, Budapest, Bratislava, and cities like Zagreb (German: Agram ) or Ljubljana (German: Laibach ), contained significant German minorities. In

8662-519: The Europeans. Several of the composers associated with Darmstadt, notably Stockhausen, Goeyvaerts, and Pousseur, developed a form of serialism that initially rejected the recurring rows characteristic of twelve-tone technique in order to eradicate any lingering traces of thematicism . Instead of a recurring, referential row, "each musical component is subjected to control by a series of numerical proportions". In Europe, some serial and non-serial music of

8784-718: The Frisian languages— North Frisian (spoken in Nordfriesland ), Saterland Frisian (spoken in Saterland ), and West Frisian (spoken in Friesland )—as well as the Anglic languages of English and Scots. These Anglo-Frisian dialects did not take part in the High German consonant shift, and the Anglic languages also adopted much vocabulary from both Old Norse and the Norman language . The history of

8906-486: The German Zwölftontechnik ( twelve-tone technique ) or Reihenmusik (row music); it was independently introduced by Stockhausen and Herbert Eimert into German in 1955 as serielle Musik , with a different meaning, but also translated as "serial music". Serialism of the first type is most specifically defined as a structural principle according to which a recurring series of ordered elements (normally

9028-524: The German language begins with the High German consonant shift during the Migration Period , which separated Old High German dialects from Old Saxon . This sound shift involved a drastic change in the pronunciation of both voiced and voiceless stop consonants ( b , d , g , and p , t , k , respectively). The primary effects of the shift were the following below. While there is written evidence of

9150-447: The German states; the invention of the printing press c.  1440 and the publication of Luther's vernacular translation of the Bible in 1534, however, had an immense effect on standardizing German as a supra-dialectal written language. The ENHG period saw the rise of several important cross-regional forms of chancery German, one being gemeine tiutsch , used in the court of

9272-675: The Germanic dialects that were affected by the High German consonant shift (south of Benrath) from those that were not (north of Uerdingen). The various regional dialects spoken south of these lines are grouped as High German dialects, while those spoken to the north comprise the Low German and Low Franconian dialects. As members of the West Germanic language family, High German, Low German, and Low Franconian have been proposed to be further distinguished historically as Irminonic , Ingvaeonic , and Istvaeonic , respectively. This classification indicates their historical descent from dialects spoken by

9394-646: The Irminones (also known as the Elbe group), Ingvaeones (or North Sea Germanic group), and Istvaeones (or Weser–Rhine group). Standard German is based on a combination of Thuringian - Upper Saxon and Upper Franconian dialects, which are Central German and Upper German dialects belonging to the High German dialect group. German is therefore closely related to the other languages based on High German dialects, such as Luxembourgish (based on Central Franconian dialects ) and Yiddish . Also closely related to Standard German are

9516-845: The Italian autonomous region of Friuli-Venezia Giulia , as well as a recognized national language in Namibia . There are also notable German-speaking communities in France ( Alsace ), the Czech Republic ( North Bohemia ), Poland ( Upper Silesia ), Slovakia ( Košice Region , Spiš , and Hauerland ), Denmark ( North Schleswig ), Romania and Hungary ( Sopron ). Overseas, sizeable communities of German-speakers are found in Brazil ( Blumenau and Pomerode ), South Africa ( Kroondal ), Namibia , among others, some communities have decidedly Austrian German or Swiss German characters (e.g. Pozuzo , Peru). German

9638-507: The MHG period. Significantly, these texts include a number of impressive secular works, such as the Nibelungenlied , an epic poem telling the story of the dragon -slayer Siegfried ( c.  thirteenth century ), and the Iwein , an Arthurian verse poem by Hartmann von Aue ( c.  1203 ), lyric poems , and courtly romances such as Parzival and Tristan . Also noteworthy

9760-457: The audibility of tone rows, and the portion of his essay focusing on Boulez's "multiplication" technique (exemplified in three movements of Le Marteau sans maître ) has been challenged on perceptual grounds by Stephen Heinemann and Ulrich Mosch. Ruwet's critique has also been criticised for making "the fatal mistake of equating visual presentation (a score) with auditive presentation (the music as heard)". In all these reactions discussed above,

9882-798: The basis that its compositional strategies are often incompatible with the way the human mind processes a piece of music. Nicolas Ruwet (1959) was one of the first to criticise serialism by a comparison with linguistic structures, citing theoretical claims by Boulez and Pousseur, taking as specific examples bars from Stockhausen's Klavierstücke I & II , and calling for a general reexamination of Webern's music. Ruwet specifically names three works as exempt from his criticism: Stockhausen's Zeitmaße and Gruppen , and Boulez's Le marteau sans maître . In response, Pousseur questioned Ruwet's equivalence between phonemes and notes. He also suggested that, if analysis of Le marteau sans maître and Zeitmaße , "performed with sufficient insight", were to be made from

10004-460: The conclusion that serialism acted as a predetermined method of composing to avoid the subjectivity and ego of a composer in favour of calculated measure and proportion. Along with John Cage 's indeterminate music (music composed with the use of chance operations) and Werner Meyer-Eppler 's aleatoricism , serialism was enormously influential in postwar music. Theorists such as Milton Babbitt and George Perle codified serial systems, leading to

10126-583: The densely packed dots in Seurat 's paintings, even though the concept was unrelated. Pieces were structured by closed sets of proportions, a method closely related to certain works from the de Stijl and Bauhaus movements in design and architecture some writers called " serial art ", specifically the paintings of Piet Mondrian , Theo van Doesburg , Bart van Leck, Georg van Tongerloo, Richard Paul Lohse, and Burgoyne Diller , who had sought to "avoid repetition and symmetry on all structural levels and working with

10248-729: The details of Gruppen , which occupied him for all of 1957. The premiere of the work took place in the Rheinsaal of the Kölner Messe in Cologne-Deutz , as part of the WDR's concert series Musik der Zeit, on 24 March 1958 with the Cologne Radio Symphony Orchestra , conducted by Stockhausen (orchestra I), Bruno Maderna (orchestra II), and Pierre Boulez (orchestra III). The score is dedicated to Herbert Eimert , director at that time of

10370-430: The development of non-local forms of language and exposed all speakers to forms of German from outside their own area. With Luther's rendering of the Bible in the vernacular, German asserted itself against the dominance of Latin as a legitimate language for courtly, literary, and now ecclesiastical subject-matter. His Bible was ubiquitous in the German states: nearly every household possessed a copy. Nevertheless, even with

10492-452: The dialect so as to make the work as natural and accessible to German speakers as possible. Copies of Luther's Bible featured a long list of glosses for each region, translating words which were unknown in the region into the regional dialect. Luther said the following concerning his translation method: One who would talk German does not ask the Latin how he shall do it; he must ask the mother in

10614-399: The early 1950s emphasized the determination of all parameters for each note independently, often resulting in widely spaced, isolated "points" of sound, an effect called first in German " punktuelle Musik" ("pointist" or "punctual music"), then in French "musique ponctuelle", but quickly confused with " pointillistic " (German "pointillistische", French "pointilliste"), the term associated with

10736-507: The eastern provinces of Banat , Bukovina , and Transylvania (German: Banat, Buchenland, Siebenbürgen ), German was the predominant language not only in the larger towns—like Temeschburg ( Timișoara ), Hermannstadt ( Sibiu ), and Kronstadt ( Brașov )—but also in many smaller localities in the surrounding areas. In 1901, the Second Orthographic Conference ended with a (nearly) complete standardization of

10858-568: The effects of tonal determinism, dialectize its causal functions, and overcome any academic prohibitions, especially the fixing of an anti-grammar meant to replace some previous one". At about the same time, Stockhausen began using serial methods to integrate a variety of musical sources from recorded examples of folk and traditional music from around the world in his electronic composition Telemusik (1966), and from national anthems in Hymnen (1966–67). He extended this serial "polyphony of styles" in

10980-434: The electronic sounds and incorporated some of what had previously been thought of as electronic music into the orchestra. The indeterminate tempos also proved impractical, and were dropped after a few experimental pages of score had been written out. Upon returning to Cologne, Stockhausen resumed work on Gesang der Jünglinge and then composed the wind quintet Zeitmaße and Klavierstück XI , before turning to working-out

11102-578: The entire plan of Gruppen , "with a completely new conception of musical time". The surroundings provided more than just a conducive environment for work. in Gruppen ... whole envelopes of rhythmic blocks are exact lines of mountains that I saw in Paspels in Switzerland right in front of my little window. Many of the time spectra, which are represented by superimpositions of different rhythmic layers—of different speeds in each layer—their envelope which describes

11224-451: The guise of "probe-tone" experiments testing listeners' familiarity with a row after exposure to its various forms (as would occur in a 12-tone work). In other words the supposition in critiques of serialism has been that, if a composition is so intricately structured by and around a series, that series should ultimately be clearly perceived or that a listener ought to become aware of its presence or importance. Babbitt denied this: That's not

11346-435: The home, the children on the streets, the common man in the market-place and note carefully how they talk, then translate accordingly. They will then understand what is said to them because it is German. When Christ says ' ex abundantia cordis os loquitur ,' I would translate, if I followed the papists, aus dem Überflusz des Herzens redet der Mund . But tell me is this talking German? What German understands such stuff? No,

11468-449: The increase and decrease of the number of layers, their shape, so to speak, the shape of the time field, are the curves of the mountain's contour which I saw when I looked out the window. Originally the work was to have been for multi-channel electronic music with large orchestra, with metrically indeterminate parts for the orchestra. Once having decided to divide the orchestra into three parts, each with its own conductor, Stockhausen gave up

11590-474: The influence of Luther's Bible as an unofficial written standard, a widely accepted standard for written German did not appear until the middle of the eighteenth century. German was the language of commerce and government in the Habsburg Empire , which encompassed a large area of Central and Eastern Europe . Until the mid-nineteenth century, it was essentially the language of townspeople throughout most of

11712-484: The largest concentrations of German speakers are in the states of Rio Grande do Sul (where Riograndenser Hunsrückisch developed), Santa Catarina , and Espírito Santo . Serialism In music, serialism is a method of composition using series of pitches, rhythms, dynamics, timbres or other musical elements . Serialism began primarily with Arnold Schoenberg 's twelve-tone technique , though some of his contemporaries were also working to establish serialism as

11834-442: The laws of perception and complying better with them, "paved the way to a more effective kind of musical communication, without in the least abandoning the emancipation that they had been allowed to achieve by this 'zero state' that was punctual music". One way this was achieved was by developing the concept of "groups", which allows structural relationships to be defined not only between individual notes but also at higher levels, up to

11956-754: The level of influence serialism had after the Second World War. Previously Stravinsky had used series of notes without rhythmic or harmonic implications. Because many of the basic techniques of serial composition have analogs in traditional counterpoint, uses of inversion , retrograde , and retrograde inversion from before the war do not necessarily indicate Stravinsky was adopting Schoenbergian techniques. But after meeting Robert Craft and other younger composers, Stravinsky began to study Schoenberg's music, as well as that of Webern and later composers, and to adapt their techniques in his work, using, for example, serial techniques applied to fewer than twelve notes. During

12078-551: The light of serial techniques; for example, they found the use of row technique in previous composers going back to Mozart and Beethoven. In particular, the orchestral outburst that introduces the development section halfway through the last movement of Mozart's Symphony No. 40 is a tone row that Mozart punctuates in a very modern and violent way that Michael Steinberg called "rude octaves and frozen silences". Ruth Crawford Seeger extended serial control to parameters other than pitch and to formal planning as early as 1930–33 in

12200-401: The main features for the listener. Nonetheless, a traditional twelve-tone row is used as its basis: This is a symmetrical all-interval row , in which the first half consists of the intervals of a descending major third, rising perfect fourth, descending minor third, descending minor second, and ascending major second. The second half consists of the retrograde of the first half, transposed by

12322-566: The most equable way, unequally with regard to one another, over the temporal space: from the greatest possible coïncidence to the greatest possible dispersion. This provides an exemplary demonstration of that logical principle of seriality: every situation must occur once and only once . Henri Pousseur , after initially working with twelve-tone technique in works like Sept Versets (1950) and Trois Chants sacrés (1951), evolved away from this bond in Symphonies pour quinze Solistes [1954–55] and in

12444-402: The mother in the home and the plain man would say, Wesz das Herz voll ist, des gehet der Mund über . Luther's translation of the Bible into High German was also decisive for the German language and its evolution from Early New High German to modern Standard German. The publication of Luther's Bible was a decisive moment in the spread of literacy in early modern Germany , and promoted

12566-630: The ninth century, chief among them being the Muspilli , Merseburg charms , and Hildebrandslied , and other religious texts (the Georgslied , Ludwigslied , Evangelienbuch , and translated hymns and prayers). The Muspilli is a Christian poem written in a Bavarian dialect offering an account of the soul after the Last Judgment , and the Merseburg charms are transcriptions of spells and charms from

12688-426: The octave, and prohibited successional relations, such as premature note repetitions, frequently occur, although obscured in the dense contexture. The number twelve no longer plays any governing, defining rôle; the pitch constellations no longer hold to the limitation determined by their formation. The dodecaphonic series loses its significance as a concrete model of shape (or a well-defined collection of concrete shapes)

12810-854: The overall form of a piece. This is "a structural method par excellence", and a sufficiently simple conception that it remains easily perceptible. Pousseur also points out that serial composers were the first to recognize and attempt to move beyond the lack of differentiation within certain pointillist works. Pousseur later followed up on his own suggestion by developing his idea of "wave" analysis and applying it to Stockhausen's Zeitmaße in two essays. Later writers have continued both lines of reasoning. Fred Lerdahl , for example, in his essay " Cognitive Constraints on Compositional Systems ", argues that serialism's perceptual opacity ensures its aesthetic inferiority. Lerdahl has in turn been criticized for excluding "the possibility of other, non-hierarchical methods of achieving musical coherence," and for concentrating on

12932-406: The point of view of wave theory —taking into account the dynamic interaction of the different component phenomena, which creates "waves" that interact in a sort of frequency modulation —the analysis "would accurately reflect the realities of perception". This was because these composers had long since acknowledged the lack of differentiation found in punctual music and, becoming increasingly aware of

13054-462: The pronunciation of the ending -ig as [ɪk] instead of [ɪç]. In Northern Germany, High German was a foreign language to most inhabitants, whose native dialects were subsets of Low German. It was usually encountered only in writing or formal speech; in fact, most of High German was a written language, not identical to any spoken dialect, throughout the German-speaking area until well into the 19th century. However, wider standardization of pronunciation

13176-470: The resulting "fundamental durations" are not small enough for use in the musical detail, subdivisions corresponding to the transposition of the overtones of a pitch's harmonic spectrum are used. The twelve logarithmic metronomic tempos used in Gruppen , covering a tempo "octave" (doubling in speed) from [REDACTED]  = 60 to 120 are 60, 63.5, 67, 71, 75.5, 80, 85, 90, 95, 101, 107, 113.5, and 120. The composer recalled that, when Igor Stravinsky saw

13298-541: The row from a particular succession of intervals. A row that uses all of the intervals in their ascending form once is an all-interval row . In addition to permutations, the basic row may have some set of notes derived from it, which is used to create a new row. These are derived sets . Because there are tonal chord progressions that use all twelve notes, it is possible to create pitch rows with very strong tonal implications, and even to write tonal music using twelve-tone technique. Most tone rows contain subsets that can imply

13420-427: The same structural properties as the basic twelve-tone pitch series. This became the basis for the entire process of serial organization of Gruppen . This duration series, however, is expressed not as single units (which would correspond to single vibrations of a pitch) but rather as metronomic tempos in sufficiently long stretches of time to enable conductors and musicians to change tempo with precision. However, because

13542-577: The score for the first time, he wrote that such fractional metronomic values as 63.5 and 113.5 were "a sign of German thoroughness". Woodwinds Brass Percussion (4 percussionists) Keyboards Strings Woodwinds Brass Percussion (4 percussionists) Keyboards Strings Woodwinds Brass Percussion (4 percussionists) Keyboards Strings In chronological order of first issue. German language German (German: Deutsch , pronounced [dɔʏtʃ] )

13664-541: The states of North Dakota and South Dakota , German is the most common language spoken at home after English. As a legacy of significant German immigration to the country , German geographical names can be found throughout the Midwest region , such as New Ulm and Bismarck (North Dakota's state capital), plus many other regions. A number of German varieties have developed in the country and are still spoken today, such as Pennsylvania Dutch and Texas German . In Brazil,

13786-406: The structure of a composition, which requires development of a comprehensive strategy. The choice of strategy often depends on the relationships contained in a row class, and rows may be constructed with an eye to producing the relationships needed to form desired strategies. The basic set may have additional restrictions, such as the requirement that it use each interval only once. "The series

13908-496: The third most commonly learned second language in the United States in K-12 education. The language has been influential in the fields of philosophy, theology, science, and technology. It is the second most commonly used language in science and the third most widely used language on websites . The German-speaking countries are ranked fifth in terms of annual publication of new books, with one-tenth of all books (including e-books) in

14030-425: The way I conceive of a set [series]. This is not a matter of finding the lost [series]. This is not a matter of cryptoanalysis (where's the hidden [series]?). What I'm interested in is the effect it might have, the way it might assert itself not necessarily explicitly. Seemingly in accord with Babbitt's statement, but ranging over such issues as perception, aesthetic value, and the "poietic fallacy", Walter Horn offers

14152-543: The world being published in German. German is most closely related to other West Germanic languages, namely Afrikaans , Dutch , English , the Frisian languages , and Scots . It also contains close similarities in vocabulary to some languages in the North Germanic group , such as Danish , Norwegian , and Swedish . Modern German gradually developed from Old High German , which in turn developed from Proto-Germanic during

14274-579: The written form of German. One of the central events in the development of ENHG was the publication of Luther's translation of the Bible into High German (the New Testament was published in 1522; the Old Testament was published in parts and completed in 1534). Luther based his translation primarily on the Meißner Deutsch of Saxony , spending much time among the population of Saxony researching

14396-429: Was a "neutral" language as there were virtually no English native speakers in Namibia at that time. German, Afrikaans, and several indigenous languages thus became "national languages" by law, identifying them as elements of the cultural heritage of the nation and ensuring that the state acknowledged and supported their presence in the country. Today, Namibia is considered to be the only German-speaking country outside of

14518-530: Was an artificial standard that did not correspond to any traditional spoken dialect. Rather, it was based on the pronunciation of German in Northern Germany, although it was subsequently regarded often as a general prescriptive norm, despite differing pronunciation traditions especially in the Upper-German-speaking regions that still characterise the dialect of the area today – especially

14640-485: Was established on the basis of public speaking in theatres and the media during the 20th century and documented in pronouncing dictionaries. Official revisions of some of the rules from 1901 were not issued until the controversial German orthography reform of 1996 was made the official standard by governments of all German-speaking countries. Media and written works are now almost all produced in Standard German which

14762-454: Was in fact aware of these properties, making it most likely that the relationship simply did not interest him compositionally. Many of the conceptual bases of the work are explained in Stockhausen's famous article, "... How Time Passes ...". In this essay, Stockhausen developed a serial organizational principle at the center of which stood the concept of a twelve-step duration series possessing

14884-497: Was principally motivated by the compositional requirement of keeping simultaneously played yet musically separate passages distinct from one another, but led to some orgiastic passages in which a single musical process passes from one orchestra to another. The title refers to the work's construction in 174 units, mainly composed in what Stockhausen terms "groups"—cohesive groupings of notes unified through one or more common characteristics (dynamics, instrumental color, register, etc.): "

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