We have been able to generate ordered nucleosome arrays that span the physiological range of spacing periodicities, using an in vitro system. Our system (a refinement of the procedure previously developed) uses the synthetic polynucleotide poly[d(A-T)], poly[d(A-T)], core histones, purified H1, and polyglutamic acid, a factor that increases nucleohistone solubility and greatly promotes the formation of ordered nucleosome arrays. This system has three useful features, not found in other chromatin assembly systems. First, it allowed us to examine histones from three different cell types/species (sea urchin sperm, chicken erythrocyte, and HeLa) as homologous or heterologous combinations of core and H1 histones. Second, it allowed us to control the average packing density (core histone to polynucleotide weight ratio) of nucleosomes on the polynucleotide; histone H1 is added in a second distinct step in the procedure to induce nucleosome alignment. Third, it permitted us to study nucleosome array formation in the absence of DNA base sequence effects. We show that the value of the spacing periodicity is controlled by the value of the initial average nucleosome packing density. The full range of physiological periodicities appears to be accessible to arrays generated using chicken erythrocyte (or HeLa) core histones in combination with chicken H5. However, chromatin-like structures cannot be assembled for some nucleosome packing densities in reactions involving some histone types, thus limiting the range of periodicities that can be achieved. For example, H1 histone types differ significantly in their ability to recruit disordered nucleosomes into ordered arrays at low packing densities. Sea urchin sperm H1 is more efficient than chicken H5, which is more efficient than H1 from HeLa or chicken erythrocyte. Sea urchin sperm core histones are more efficient in this respect than the other core histone types used. These findings suggest how different repeat lengths arise in different cell types and species, and provide new insights into the problems of nucleosome linker heterogeneity and how different types of chromatin structures could be generated in the same cell.