The goal of this work was to rapidly acquire non-synthetic multi-contrast and quantitative images simultaneously, through tailoring the MR fingerprinting acquisition schedule in contrast blocks. TMRF providing for five contrasts was designed, simulated and demonstrated on four healthy volunteer brain scans. The acquisition times for MRF and TMRF were 5:11 and 4:41 (min: sec) respectively. The spatio-temporal profiles of T1, T2, PD, water-fat and flow contrasts were reconstructed block-wise along with relaxometric maps. Comparatively, TMRF images showed higher mean to standard deviation ratios for the four volunteers over the contrast blocks for PD and T2 while maintaining similarity of relaxometric maps.