The concept of the discrete redshift is applied to dwarf-galaxy H I redshifts and line profiles. After removing the solar motion derived from the data, it is shown that strong periodicities predicted by the discrete-redshift model are present. Strong related correlations exist in line-profile shape. A model of the redshift based upon ultimate discrete levels uniformly spaced near 12 km/s is developed. Each cycle of 72 km/s contains a pattern of six sublevels. A model of redshift levels in terms of energy changes is also introduced.