Bathpaeth
The conductor of a music group is called a conductor.
composer
A person who writes music is called a music composer or a songwriter. A singer-songwriter is one who writes, composes and sing their own music material.Someone who solely writes lyrics may be called a lyricist, and someone who only writes music may be called a composer.
composition
... is called the composer.
A conductor leads and directs musicians during performances, interpreting the composer's work through their conducting. A composer creates and writes music, often providing the musical scores for musicians to perform.
commission
Oli Sykes writes the lyrics, and the band writes the music.
The music conductor's stick is a baton.Assuming you meant 'what is a conductor's stick called' - it's a baton.
Junichi Masuda writes the bulk of Pokemon music.
When the composer writes the opera he ensures this happens - that the music compliments the vocal parts. It is up to the conductor, both performance and rehearsal conductor, to ensure the composer's wishes are carried-out and, for example, that the orchestra does not overwhelm the singers.
A composer is a person who writes music.