This paper presents novel interaction modes for Model-Based Sonification (MBS) via a multi-touch interface. We first lay out details about the constructed multi-touch surface. This is followed by a description of the Data Sonogram Sonification Model and how it is implemented using the system. Modifications from the original sonification model such as the limited space scans are described and discussed with sonification examples. Videos showing examples of interaction are provided for various data sets. Beyond Data Sonograms, the presented system provides a basis for the implementation of known and novel sonification models. We discuss the available interaction modes with multi-touch surfaces and how these interactions can be profitably used to control spatial and non-spatial sonification models.