The word "multidimensional" refers to something that has many different aspects or dimensions. It means having multiple characteristics or being involved in various ways. Full definition
Affiliation with delinquent peers as a mediator of the effects of Multidimensional Treatment Foster Care for delinquent girls. (oslc.org)
In this sense, the tone has been widely used for the recognition of different instruments as well as the recognition of multidimensional scaling techniques which are determined by small variations along three dimensions which are called: attack time, spectral centroid, and spectral flux. (globaleducationmagazine.com)
Davis, M. H., 1983, Measuring individual differences in empathy; Evidence for multidimensional approach, Journal of Personality and Social Psychology 44: 113 ~ 126 (dbpia.co.kr)