Final answer:
The statement about New Orleans jazz depending on simultaneous improvisations resulting in a polyphonic texture is true; this style was marked by an up-tempo beat, improvised solos, bold rhythms, and harmony.
Step-by-step explanation:
New Orleans jazz is characterized by its unique style that incorporates simultaneous improvisations by the players, leading to a polyphonic texture.
This polyphony was an evolution in music from the monophonic textures of earlier eras, allowing for a rich interweaving of multiple musical lines.
When speaking of New Orleans jazz, one often refers to the up-tempo beat, improvised solos, and the bold rhythm and harmony that distinguish it from other forms of music at the time.
Moreover, this style was influenced by various earlier music forms, including the blues with its distinctive chords and blue notes. The statement that New Orleans jazz depended on simultaneous improvisations by the players, resulting in a polyphonic texture, is true.