1. A method comprising: obtaining, by a computing system, reference fingerprints that represent reference media streams, wherein each reference fingerprint represents a respective one of the reference media streams, and wherein each reference media stream is broadcast on a respective channel; detecting by the computing system, based on a comparison of the reference fingerprints with each other, that a plurality of the reference fingerprints match each other, the plurality of reference fingerprints defining a multi-match group; determining by the computing system that a query fingerprint representing a media stream being rendered by a media presentation device matches the multi-match group; responsive to the determining, using by the computing system one or more attributes of the received query fingerprint as a basis to determine which reference fingerprint of the multi-match group best matches the query fingerprint and to determine that the channel on which the reference media stream represented by the determined reference fingerprint is broadcast is the channel on which the media stream being rendered by the media presentation device is being broadcast; and taking action by the computing system based on the determined channel.