- 2016 Elsevier B.V. All rights reserved. We present a new method for determining the unique reference state in which the Burgers vectors of misfit dislocations in semicoherent interfaces are defined. Similar to previous work, our method requires cancelation of coherency and dislocation stresses far from the interface as well as consistency of far-field rotations with a prescribed interface crystallographic character. We compute misfit dislocation elastic fields using Stroh's formalism and the Sextic theory, accounting fully for elastic anisotropy. The method is applicable to all types of interfaces, including ones with three sets of dislocations, and does not require the definition of a transformation path between adjacent crystals. We examine the accuracy of our method by comparing it with previous results on interfaces with one or two sets of dislocations. We then use it to carry out the first calculations of the coherent reference state of an interface with three sets of dislocations.