Texture Part = Voice = Line = Melodic Line Theory Things   William Wieland

Monophony 1 Part (Doublings are allowed.) – Plainchant (e.g. Gregorian Chant)
– Bach Cello Suites
– Messiaen Quartet for the End of Time "6. Danse..."

Polyphony 2 or more Independent Parts – Renaissance or Baroque Counterpoint
Homophony Melody + Accompaniment – Most Popular Music, Classical Music and Jazz
Homorhythmic All parts have the same rhythm.
(a.k.a. hymn or chordal texture)
– Handel Water Music "Hornpipe"
– Bernstein Mass "Almighty Father"

Heterophony somewhat different versions of the 
same melody performed simultaneously
– Much Nonwestern Music
– Beethoven Violin Concerto
  (just after the soloist's entrance)

Fugues begin monophonically and add voices at regular intervals.

Penderecki's Threnody: To the Victims of Hiroshima features texture and dynamics rather than melody or harmony.