You have raised a particularly fuzzy area of the law. Generally speaking, parody (or spoof as you term it) can be defended under fair use doctrine of the Copyright Act itself. Section 107 of the Copyright Act lists 4 "fair use factors" that must be analyzed to determine whether a particular use of a copyrighted work, such as a parody, is fair use. These factors are the: (1) purpose and character of the use, including whether the use is commercially motivated or instead is for nonprofit educational purposes; (2) nature of the copyrighted work; (3) amount and substantiality of the portion used in the newly created work in relation to the copyrighted work; and (4) effect of the use upon the potential market for or value of the copyrighted work. All 4 of these factors will be considered by a court when evaluating a fair-use defense. No single factor by itself is sufficient to prove or disprove fair use. As you can see, there is no bright line that identifies whether your parody will survive a copyright infringement suit or not. Accordingly, you should seek intellectual property counsel with an understanding of copyright law to discuss your particular parody and have them perform the fair use analysis with the relevant case law to determine whether it is a parody or an infringing copyright violation.
Answered on May 12th, 2015 at 12:14 AM