Heart muscle contracts more vigorously when calcium levels are raised. A transient depletion of calcium from restricted extracellular spaces occurs with each contraction. We decided to maintain the concentration of this ion at a constant level by using an external calcium buffering system. It was found that buffering calcium at a millimolar level (using citrate as a buffer) caused a decrease, rather than an increase in the strength of contraction. The mean reduction in peak tension was by 27% in guinea pig and by 50.5% in frog atrium. This finding is analyzed; its most plausible explanation is the hypothesis that the buffer dissipates a calcium inhomogeneity, consisting of a higher calcium concentration adjacent to the membrane. Alternative interpretations such as intracellular acidosis, were tested experimentally and ruled out.