Daily diary data of emotional experiences are typically modeled with a first-order autoregressive model to account for possible day-to-day dynamics. However, our emotional experiences are likely to be affected by the weekly rhythm of our activities, which may be reflected by: (a) day-of-week effects (DOWEs), where different days of the week are characterized by different means; and (b) week-to-week dynamics, where weekday-specific activities and experiences have a delayed effect on the emotions that we experience on the same weekday a week later. While DOWEs have been studied occasionally, week-to-week dynamics have been largely ignored in psychological research. To gain more insight in the various regularities that may exist in daily diary data, we begin with presenting a set of complementary visualization techniques that can help to detect and characterize weekly rhythms and day-to-day dynamics in time series data. Subsequently, we introduce the family of seasonal autoregressive--moving average (SARMA) models from the econometrics literature, and extend this with models for the DOWEs. We illustrate how the different model components show up in the various visualizations of the time series data. We then provide a tutorial on fitting these models in R, discussing model fit and model selection, and apply this to a daily diary dataset consisting of 56-101 daily measures from 98 individuals. The results suggests that most individuals in the sample are characterized by patterns and dynamics that the current practices in psychological research cannot capture adequately. We discuss the implications of our findings for current psychological research practices.