When there is more than one independent, melodic line occurring at the same time, the texture is called polyphony. The compositional technique used in creating this music is called .

Counterpoint.

Explanation:

As per the question, the 'counterpoint' is demonstrated as the manner or technique of composing the independent melodies concurrently. It helps in creating the music like polyphony(the music which comprises of more than one independent melodic lines occurring simultaneously at the same time). This compositional technique helps in playing the conjunction of melodies where each line stands in harmony with the other and produces effective interaction of voices in rhythm and contour. Therefore, 'counterpoint' is the correct answer.