1. A method for generating a magnetic resonance (MR) image with an MR scanner comprising a radio-frequency (RF) coil array comprising a plurality of individual RF coils, said method comprising: in a control computer, generating control signals to the MR scanner in order to acquire the MR data from a subject as datasets respectively acquired in parallel, from an examination volume of the subject, with multiple RF coils among said plurality of RF coils, by acquiring a first parallel dataset with at least two of said RF coils with said MR scanner operated according to a first parameter set and by acquiring at least one further parallel dataset with said at least two of said RF coils with said MR scanner operated according to a second parameter set, each of said first and second parallel datasets comprising acquired data that are less than a total amount of data required to reconstruct an image of the examination volume, thereby requiring reconstruction using a calibration item to complete said total amount of data; providing said control signals from said control computer to said MR scanner and thereby operating said MR scanner while said subject is situated in the scanner, so as to acquire said first parallel dataset from the subject with said at least two of said RF coils operated according to said first parameter set and so as to acquire said at least one further parallel dataset from the subject with said at least two of said RF coils operated according to said second parameter set, and thereby obtaining said first and second parallel datasets comprising acquired data that are less than said total amount of data required to reconstruct said image of the examination volume, and thereby requiring said reconstruction using said calibration item to complete said total amount of data; providing said first and second parallel datasets to a processor and, in said processor, reconstructing a first intermediate image dataset and at least one further intermediate image dataset with at least one of (a) said first intermediate image dataset being reconstructed from said first parallel dataset using a calibration data item derived from said at least one further parameter set, and (b) said at least one further intermediate image dataset is reconstructed from said at least one further parallel dataset using a calibration data item derived from said first parameter set; and in said processor, generating a combination image dataset by combining said first intermediate image dataset and said at least one further intermediate dataset, and making said combination image dataset available at an output of said processor in electronic form as a data file.