Similar to regularly spaced nucleosomes in chromatin, long tandem DNA arrays are composed of regularly alternating monomers that have almost identical primary DNA structures. Such a similarity in the structural organization makes these arrays especially interesting for studying the role of intrinsic DNA preferences in nucleosome positioning. We have studied the nucleosome formation potential of DNA tandem repeat families with different monomer lengths (ML). In total, 165 plant tandem repeat families from the PlantSat database (http://w3lamc.umbr.cas.cz/PlantSat/) were divided into two classes based on the number of nucleosome repeats in one DNA monomer. For predicting nucleosome formation potential, we developed the Phase method, which combines the advantages of multiple bioinformatics models. The Phase method was able to distinguish interfamily differences and intrafamily monomer variation and identify the influence of nucleotide context on nucleosome formation potential. Three main types of nucleosome arrangement in DNA tandem repeat arrays--regular, partially regular (partial), and flexible--were distinguished among a great variety of Phase profiles. The regular type, in which all nucleosomes of the monomer array are positioned in a context-dependent manner, is the most representative type of the class 1 families, with ML equal to or a multiple of the nucleosome repeat length (NRL). In the partially regular type, nucleotide context influences the positioning of only a subset of nucleosomes. The influence of the nucleotide context on nucleosome positioning has the least effect in the flexible type, which contains the greatest number of families (65). The majority of these families belong to class 2 and have nonmultiple ML to NRL ratios.