In magnetic resonance imaging, T1 mapping is a valuable tool for investigating structural alterations of the heart due to cardiomyopathy. This work presents a fast T1 mapping method based on DESPOT in combination with continuous radial tiny golden angle acquisitions. The suggested method was tested at 11.7 T and compared to DESPOT based on respiratory and cardiac gated FLASH data. Average values of both measurements are in good accordance to one another as well as to recent literature findings. The presented method is capable of acquiring qualitative and quantitative 2D T1 maps of the myocardium in under 25 s.