Generally, subjective opinions and decisions are made when judging the quality of musical instruments. In an attempt to become more objective, this research presents methods to numerically and experimentally create maps, over a range of control parameters, that describe instrument behavior for a variety of different sounds features or “quality markers” (playing regime, intonation, loudness, etc.). The behavior of instruments is highly dependent on the control parameters that are adjusted by the musician. Observing this behavior as a function of one control parameter (e.g., blowing pressure) can hide diversity of the overall behavior. An isovalue quality marker can be obtained for a multitude of control parameter combinations. Using multidimensional maps, where quality markers are a function of two or more control parameters, can solve this problem. Numerically: in two dimensions, a regular discretization on a subspace of control parameters can be implemented while conserving a reasonable calculation time. However, in higher dimensions (if, for example, aside from the blowing pressure and the lip force, we vary the reed parameters), it is necessary to use auto-adaptive sampling methods. Experimentally: the use of an artificial mouth allows us to maintain control conditions while creating these maps. We can also use an instrumented mouthpiece: this allows us to measure simultaneously and instantly these control parameters and create the maps “on the fly.”