A method and an x-ray computed tomography system are disclosed for visualizing at least two different types of cardiac tissue, such as normally perfused tissue, hypoperfused tissue and scarred tissue. In at least one embodiment, this is done by use of an imaging tomographic recording technique with the aid of x-ray radiation, wherein at least one cardiac region of a patient is scanned by x-ray radiation which passes through a first grating for the passing-through x-ray radiation, designed as an absorption grating, prior to reaching the patient, and at least the locally caused phase-shifts of the x-ray radiation in the cardiac region are also made detectable by using a second grating for the passing-through x-ray radiation, designed as a phase grating, downstream of the patient in the emission direction, and the spatial distribution of these shifts is measured and reconstructed, wherein an average specific phase-shift value is assigned to each spatial unit, wherein each of the abovementioned tissue types are assigned to a region of a typical specific phase-shift value and at least one region assigned to a tissue type is optically highlighted in a view of the cardiac region.