JAVA 오류 Exception in thread "main" java.lang.NullPointerException 문제가뭐죠?

public class Music {

private String name;

private String song;

public String getName() {

return name;

}

public String getSong() {

return song;

}

public void setName(String name) {

this.name=name;

}

public void setSong(String song) {

this.song=song;

}

public void music(String name, String song) {

this.name=name;

this.song=song;

}

public void printPlaydata() {

System.out.println(this.name+ "의"+this.song);

}

이거와 밑은 메인함수

public class tester {

public static void main(String[] args) {

Music[] music = new Music[3];

music[0].music("베토벤","운명");

music[1].music("헨델","메시아");

music[2].music("비발디","사계");

for(int i=0; i<music.length; i++) {

music[i].printPlaydata();

}

계속 오류 Exception in thread "main" java.lang.NullPointerException 오류가뜨는데 어디가 문제인거죠?!!