This document presents a technique for classifying music genres using Gaussian mixture models (GMM). Tempogram features are extracted from music audio to characterize the temporal structure. A GMM is used to model the distribution of the acoustic features for each genre class. The model is trained using example music clips labelled with their genres. New clips can then be classified by determining which trained GMM distribution they best match. The method achieved an accuracy of 94% on classifying clips as classic, pop or rock music using a 10-component GMM. GMM allows the features from each genre to be represented as a mixture of Gaussian distributions.