PurposeThe combination of fully balanced SSFP sequences with iterative golden angle radial sparse parallel (iGRASP) MRI leads to strong image artifacts due to eddy currents caused by the large angular increment of the golden angle ordering. The purpose of this work is to enable the combination of iterative golden angle radial sparse parallel MRI with balanced SSFP using the recently presented tiny golden angles.MethodsThe tiny golden angle trajectories are analyzed for their incoherence properties in relation to sparse imaging using the time‐resolved point‐spread functions. Tiny golden angle radial sparse parallel (tyGRASP) MRI is introduced and evaluated with applications in cardiac imaging and dynamic imaging of the temporomandibular joint. The results are analyzed in detail for 3 T and verified for 1.5 T.ResultsThe incoherence properties of the tiny golden angle trajectory are comparable to the incoherence properties of the golden angle trajectory and are well suited for sparse MRI reconstruction. The proposed tiny golden angle radial sparse parallel MRI method strongly reduces eddy current related artifacts for both applications.ConclusionThis work enables sparse, golden‐ratio‐based imaging with balanced SSFP sequences. Magn Reson Med 75:2372–2378, 2016. © 2015 Wiley Periodicals, Inc.