The word "tortile" refers to something that is twisted or coiled. As such, its antonyms would include words that describe something that is straight or orderly. These may include phrases such as "linear," "even," "neat," "tidy," "organized," "systematic," or "methodical." These words describe a sense of structure and alignment that is opposite to the twisting or coiling motion associated with tortile objects. When looking for ways to contrast tortile objects in a sentence, it can be helpful to consider these words and how they might fit within the overall context.