I am using a linear mixed model to explain variation in an object's ratings. These ratings are bounded between 0 and 10, and take only discrete values (example histogram of the raw data below). Note that the distance between values can be thought of as consistent across the scale (unlike in a typical Likert scale) i.e. the difference between 1 and 2 is about the same as that between 8 and 9.
I know that a normal distribution can be a useful enough approximation for discrete data in some cases, but I suspect that I need to use a generalized linear model for this.
What sort of distribution/link function would be appropriate for this type of data?
Edit: I should note that I am using a mixed model with random effects to account for non-independence due to multiple measurements by some individuals. My apologies for not including this detail earlier.