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International reputation

Dvořák entered the Austrian Prize competition again in 1877, submitting his Moravian Duets and other music—possibly his Piano Concerto. He did not learn the outcome until December. Then, he received a personal letter from the music critic Eduard Hanslick, who had also been on the juries awarding the prizes. The letter not only notified Dvořák that he had again won the prize, but made known to him for the first time that Brahms and Hanslick had been on the jury. The letter conveyed an offer of friendly assistance of the two in making Dvořák's music known outside his Czech motherland. Within the month December 1877, Dvořák wrote his String Quartet No. 9 in D minor and dedicated it to Brahms. Both Brahms and Hanslick had been much impressed by the Moravian Duets, and Brahms recommended them to his publisher, Simrock, who published them with success. Having in mind Brahms's well-received Hungarian Dances, Simrock commissioned Dvořák to write something of the same nature. Dvořák submitted his Slavonic Dances, Op. 46 in 1878, at first for piano four hands, but when requested by Simrock, also in an orchestral version. These were an immediate and great success. On 15 December 1878, the leading music critic Louis Ehlert published a review of the Moravian Duets and Slavonic Dances in the Berlin "Nationalzeitung", saying that the "Dances" would make their way "round the world" and "a heavenly naturalness flows through this music". "There was a run on the German music shops for the dances and duets of this hitherto... unknown composer." The dances were played in 1879 in concerts in France, England, and the United States. Later Simrock requested further Slavonic Dances, which Dvořák supplied in his Op. 72, 1886.

In 1879 Dvořák wrote his String Sextet. Simrock showed the score to the leading violinist Joseph Joachim, who with others premiered it in November of that year. Joachim became a "chief champion" of Dvořák's chamber music. In that same year, Dvořák also wrote his Violin Concerto. In December, he dedicated the piece to Joachim and sent him the score. The next spring the two discussed the score and Dvořák revised it extensively, but Joachim was still not comfortable with it. The concerto was premiered in Prague in October 1883 by the violinist František Ondříček, who also played it in Vienna with conductor Hans Richter in December of that year. Twice later, Joachim was scheduled to play the concerto, but both times the arrangements fell through and he never did play it.

Hans Richter asked Dvořák to compose his Symphony No. 6 for the Vienna Philharmonic, intending to premiere it in December 1880. However, Dvořák later discovered that, despite this intention, members of the orchestra objected to performing works by the composer in two consecutive seasons, due to "anti-Czech feeling". Adolf Čech therefore conducted the premiere of the symphony at a concert of the Philharmonia society (in Czech: spolek Filharmonie, predecessor of the Czech Philharmonic) on 25 March 1881, in Prague. Richter did eventually conduct the piece in London in 1882 and always retained an interest in Dvořák's compositions.