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The effect of the magnetocrystalline anisotropy on the resonance of the saturation magnetization vanishes in single‐crystal spheres of YIG for a continuous multiplicity of crystalline directions which form a cone about each 〈100〉. Consequently, the resonance shift caused by the change of anisotropy with temperature is eliminated when the external magnetic field coincides with any direction lying on this cone. It is shown that deviations from the ideal alignment become inconsequential if they occur in predictable crystallographic planes tangent to this contour.