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Meta Keywords Explanation Meta Keywords tag allows you to define keywords of your website. The score is dedicated to Herbert Eimert , director at that time of the WDR electronic music studio Stockhausen , Gruppen was performed twice on the programme, with the world premiere of Pierre Boulez 's Third Piano Sonata , performed by the composer, in between Misch , n A large orchestra of 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 was principally motivated by the compositional requirement of keeping simultaneously played yet musically separate passages distinct from one another Kurtz , 80 , 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 units, mainly composed in what Stockhausen terms "groups"—cohesive groupings of notes unified through one or more common characteristics dynamics, instrumental color, register, etc.
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" Stockhausen a , This category 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 Stockhausen c , — Consequently, the importance of individual notes is relatively low, so that sonority, density, speed, dynamics, and direction of movement become the main features for the listener Smalley , 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 a tritone Misch , 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 Harvey , 56— Because of the chord transformations that emerge between rehearsal numbers and it appears that Stockhausen was in fact aware of these properties, making it most likely that the relationship simply did not interest him compositionally Kohl , — Sub-paragraph B specified that Reichsführer-SS Heinrich Himmler would be given "special tasks" on direct orders from the Führer, which he would carry out independently.
In a speech to his leading generals on 30 March , Hitler described his envisioned war against the Soviet Union. Struggle between two ideologies. Scathing evaluation of Bolshevism, equals antisocial criminality.
Communism immense future danger This a fight to the finish. If we do not accept this, we shall beat the enemy, but in thirty years we shall again confront the Communist foe.
We don't make war to preserve the enemy Extermination of Bolshevik Commissars and of the Communist intelligentsia Commissars and GPU personnel are criminals and must be treated as such.
The struggle will differ from that in the west. In the east harshness now means mildness for the future.
Though General Halder did not record any mention of Jews, German historian Andreas Hillgruber argued that because of Hitler's frequent contemporary statements about the coming war of annihilation against " Judeo-Bolshevism ", his generals would have understood Hitler's call for the destruction of the Soviet Union as also comprising a call for the destruction of its Jewish population.
In further meetings held in June Himmler outlined to top SS leaders the regime's intention to reduce the population of the Soviet Union by 30 million people, not only through direct killing of those considered racially inferior , but by depriving the remainder of food and other necessities of life.
For Operation Barbarossa, initially four Einsatzgruppen were created, each numbering — men to comprise a total force of 3, Heydrich gave them a mandate to secure the offices and papers of the Soviet state and Communist Party;  to liquidate all the higher cadres of the Soviet state; and to instigate and encourage pogroms against Jewish populations.
Many Einsatzgruppe leaders were highly educated; for example, nine of seventeen leaders of Einsatzgruppe A held doctorate degrees.
Additional Einsatzgruppen were created as additional territories were occupied. After the invasion of the Soviet Union on 22 June , the Einsatzgruppen ' s main assignment was to kill civilians, as in Poland, but this time its targets specifically included Soviet Communist Party commissars and Jews.
Open-ended instructions were given to execute "other radical elements saboteurs, propagandists, snipers, assassins, agitators, etc. On 8 July, Heydrich announced that all Jews were to be regarded as partisans, and gave the order for all male Jews between the ages of 15 and 45 to be shot.
It was common practice for the Einsatzgruppen to shoot hostages. As the invasion began, the Germans pursued the fleeing Red Army, leaving a security vacuum.
Reports surfaced of Soviet guerrilla activity in the area, with local Jews immediately suspected of collaboration. Heydrich ordered his officers to incite anti-Jewish pogroms in the newly occupied territories.
All four main Einsatzgruppen took part in mass shootings from the early days of the war. Initially there was a semblance of legality given to the shootings, with trumped-up charges being read out arson, sabotage, black marketeering, or refusal to work, for example and victims being killed by a firing squad.
As this method proved too slow, the Einsatzkommandos began to take their victims out in larger groups and shot them next to, or even inside, mass graves that had been prepared.
Some Einsatzkommandos started to use automatic weapons, with survivors being killed with a pistol shot. As word of the massacres got out, many Jews fled; in Ukraine, 70 to 90 per cent of the Jews ran away.
This was seen by the leader of Einsatzkommando VI as beneficial, as it would save the regime the costs of deporting the victims further east over the Urals.
The Nazis began to round their victims up into concentration camps and ghettos and rural districts were for the most part rendered Judenfrei free of Jews.
The Einsatzgruppen used public hangings as a terror tactic against the local population. An Einsatzgruppe B report, dated 9 October , described one such hanging.
Due to suspected partisan activity near Demidov, all male residents aged 15 to 55 were put in a camp to be screened. The screening produced seventeen people who were identified as "partisans" and "Communists".
Five members of the group were hanged while local residents were assembled to watch; the rest were shot. The largest mass shooting perpetrated by the Einsatzgruppen took place on 29 and 30 September at Babi Yar, a ravine northwest of Kiev , a city in Ukraine that had fallen to the Germans on 19 September.
Since word of massacres in other areas had not yet reached Kiev and the assembly point was near the train station, they assumed they were being deported.
People showed up at the rendezvous point in large numbers, laden with possessions and food for the journey.
After being marched two miles north-west of the city centre, the victims encountered a barbed wire barrier and numerous Ukrainian police and German troops.
Thirty or forty people at a time were told to leave their possessions and were escorted through a narrow passageway lined with soldiers brandishing clubs.
Anyone who tried to escape was beaten. Soon the victims reached an open area, where they were forced to strip, and then were herded down into the ravine.
People were forced to lie down in rows on top of the bodies of other victims, and they were shot in the back of the head or the neck by members of the execution squads.
The murders continued for two days, claiming a total of 33, victims. Heidborn spent the next few days helping smooth out the "millions" of banknotes taken from the victims' possessions.
According to its own reports to Himmler, Einsatzgruppe A killed almost , people in the five months following the invasion: Upon entering Kaunas , Lithuania, on 25 June , the Einsatzgruppe released the criminals from the local jail and encouraged them to join the pogrom which was underway.
As Einsatzgruppe A advanced into Lithuania, it actively recruited local nationalists and antisemitic groups. In July , members of the Baltaraisciai movement joined the massacres.
Local officials, the Selbstschutz , and the Hilfspolizei Auxiliary Police played a key role in rounding up and massacring Jewish Lithuanians, Latvians, and Estonians.
Of the roughly 83, Jews who fell into German hands in Latvia, not more than survived; and of the more than 20, Western Jews sent into Latvia, only some lived through the deportation until liberation.
This was the highest percentage of eradication in all of Europe. In late , the Einsatzkommandos settled into headquarters in Kovno , Riga, and Tallinn.
Einsatzgruppe A grew less mobile and faced problems because of its small size. Such extensive and enthusiastic collaboration with the Einsatzgruppen has been attributed to several factors.
Since the Russian Revolution of , the Kresy Wschodnie and other borderlands had experienced a political culture of violence.
Historian Erich Haberer notes that many survived and made sense of the "totalitarian atomization" of society by seeking conformity with communism.
In November Himmler was dissatisfied with the pace of the exterminations in Latvia, as he intended to move Jews from Germany into the area.
Jeckeln selected a site about 10 kilometres 6. Jeckeln organised around 1, men, including members of the Arajs Kommando , 50 German SD men, and 50 Latvian guards, most of whom had already participated in mass killings of civilians.
These troops were supplemented by Latvians, including members of the Riga city police, battalion police, and ghetto guards.
Around 1, able-bodied Jews would be spared execution so their slave labour could be exploited; a thousand men were relocated to a fenced-off area within the ghetto and women were temporarily housed in a prison and later moved to a separate nearby ghetto, where they were put to work mending uniforms.
Although Rumbula was on the rail line, Jeckeln decided that the victims should travel on foot from Riga to the execution ground. Trucks and buses were arranged to carry children and the elderly.
The first day of executions, 30 November , began with the perpetrators rousing and assembling the victims at 4: The victims were moved in columns of a thousand people toward the execution ground.
As they walked, some SS men went up and down the line, shooting people who could not keep up the pace or who tried to run away or rest.
Here the victims were split into groups of fifty and taken deeper into the forest, near the pits, where they were ordered to strip.
The victims were driven into the prepared trenches, made to lie down, and shot in the head or the back of the neck by members of Jeckeln's bodyguard.
Around 13, Jews from Riga were killed at the pits that day, along with a thousand Jews from Berlin who had just arrived by train.
On the second day of the operation, 8 December , the remaining 10, Jews of Riga were killed in the same way.
About a thousand were killed on the streets of the city or on the way to the site, bringing the total deaths for the two-day extermination to 25, people.
Einsatzgruppe B, C , and D did not immediately follow Einsatzgruppe A's example in systematically killing all Jews in their areas.
The Einsatzgruppe commanders, with the exception of Einsatzgruppe A's Stahlecker, were of the opinion by the fall of that it was impossible to kill the entire Jewish population of the Soviet Union in one sweep, and thought the killings should stop.
Einsatzgruppe A had already murdered almost all Jews in its area, so it shifted its operations into Belarus to assist Einsatzgruppe B.
In Dnepropetrovsk in February , Einsatzgruppe D reduced the city's Jewish population from 30, to over the course of four days. Haberer wrote that, as in the Baltic states, the Germans could not have killed so many Jews so quickly without local help.
He points out that the ratio of Order Police to auxiliaries was 1 to 10 in both Ukraine and Belarus.
In rural areas the proportion was 1 to This meant that most Ukrainian and Belarusian Jews were killed by fellow Ukrainians and Belarusians commanded by German officers rather than by Germans.
The second wave of exterminations in the Soviet Union met with armed resistance in some areas, though the chance of success was poor.
Weapons were typically primitive or home-made. Communications were impossible between ghettos in various cities, so there was no way to create a unified strategy.
Few in the ghetto leadership supported resistance for fear of reprisals on the ghetto residents.