Religion was and will always be a big part in art, because lots of people base their whole lives around religion. In the Renaissance religion played in gigantic role. Leonardo Da Vinci painted 'The Last Supper,' while Michelangelo painted the Sistine Chapel ceiling and 'The Creation of Adam'. These only name a few, but these paintings still stand out as some of the most memorable art in history. Today art is more expression about the human body and emotions, unlike how back then it was focusing on religion.
The closest thing that I can say among all of these answers would be improvisation. The definition of improvising is adapting to the situation in a better manner appropriately. So let's say when a musician is already on stage and makes a mistake while playing the guitar, he has to improvise a bit so that his mistake will not look like one. He is spontaneously creating something while he is on the spot. In a sense, he is improvising his original work and making something somewhat different.