Then maybe that there is no explicit right terminate the contract. If no such right is explicitly stated in the contract, you'll need to fall-back in the implied rights which are inherent in all contracts. Case law has determined that were no explicit right to termination exists, an implied right exists - providing "reasonable notice" is provided. Of course, the law does not define that term and says that is would depend on the specifics of the situation.
Given that the contract does not begin until January, I would have thought that giving notice now would be "reasonable". However, do make sure you have another contract in place before you do so, lest you have nowhere to go in January.
BTW, are you a fairly thorough and detailed kind of person? If not, ask someone else to go through contract looking for a termination clause - just in case.