Final answer:
The provided references do not specify when Ornette Coleman began performing with his unorthodox quartet, but it is known that Coleman formed his influential quartet in 1958.
Step-by-step explanation:
The question seems to refer to the jazz saxophonist Ornette Coleman, known for his innovative approaches to jazz music. However, the provided references do not directly correlate with Coleman or his quartet.
None of the provided references explicitly state the year when Coleman began performing with his unorthodox quartet. For a more accurate response, additional context or a direct source referencing Ornette Coleman's career would be needed.
Nonetheless, Ornette Coleman formed his influential quartet in 1958. The quartet was unorthodox because it lacked a piano, which was common in jazz ensembles of the time, and they pioneered the free jazz movement, which was characterized by a departure from fixed chord changes or tempos.
It is important to note that the reference to black jazz bands and performers, including those mentioned in the given excerpts, highlights the cultural impact and evolution of jazz music over the decades, which Ornette Coleman was a part of.