AbstractExplaining nature’s biodiversity is a key challenge for science. To persist, populations must be able to grow faster when rare, a feature called negative frequency dependence and quantified as ‘niche differences’ (𝒩) in coexistence theory. Here, we first show that available definitions of 𝒩 differ in how 𝒩 link to species interactions, are difficult to interpret, and often apply to specific community types only. We then present a new definition of 𝒩 that is intuitive and applicable to a broader set of (modelled and empirical) communities than is currently the case, filling a main gap in the literature. Given 𝒩, we also re-define fitness differences (ℱ) and illustrate how 𝒩 and ℱ determine coexistence. Finally, we demonstrate how to apply our definitions to theoretical models and experimental data, and provide ideas on how they can facilitate comparison and synthesis in community ecology.