Just as clothes can be made out of fabrics with different textures and as a consequence of that a different "feel", music can also have all kinds of textures.
Texture in music is about the "weaving" of different parts or voices in the musical fabric and their relations.
(Definitions from glossary AHWM9)
as in a psalm setting (Goudimel)
as in a fugue (J.S. Bach)
as in folk musik with improvisational elements
as in a Bach chorale where in the harmony ornamental or non-harmonic notes are added.