<p>This paper introduces a generalized Atkinson index of inequality and demonstrates its adherence to several key properties expected from any measure of inequality, such as anonymity, scale independence, population replication, transfer principle, and rising tide. Additionally, it shows that the conventional Atkinson index is nested within this generalized inequality measure. Finally, an empirical illustration using data from the Household, Income, and Labor Dynamics in Australia (HILDA) Survey underscores the utility of the proposed measure.</p>