Correct Answer: incitement

Solution : The correct choice is the fourth option.

Explanation : In the given sentence, the word impetus is used to convey a sense of giving new energy or momentum to both songs through the process of reworking. Incitement is a suitable synonym in this context, as it also denotes the act of encouraging or stimulating, aligning well with the idea of providing fresh impetus to the songs.

The meanings of the other options are as follows:

• Detachment : This term refers to a state of being objective or emotionally distant.
• Aversion : This term means a strong dislike or reluctance.
• Disfavour : This term refers to the state of being unfavourably inclined.

Therefore, the correct synonym is incitement .