The name is actually inspired by the book "Vibrant Matter" by Jane Bennett, who describes how each object or material possesses its own vitality and therefore interacts with us humans as if it's a "living being" of some sorts (of course it's not alive per se, but it's not absolutely passive). As we are using different materials and transformed them without knowing beforehand about the possible results – we only could test them after actually building them – we try to find a way of symbiotic interaction with our own individual instrument (getting to know each other). Those different kinds of materials a.k.a. matter make the air vibrate, create sounds, surprise us sometimes and require our full attention.
The matter is vibrant and vibrates – thus, the name "Mattervibe" came to mind (the "-e" is there for pronounciation's sake…).
(The aspects of vitality and vibrancy of matter – the dynamic changes of its characteristics and "personality" – can also be translated into the transformation of raw material into objects which serve predefined purposes, e.g. furniture for living/storing or pianos for leisure and creative output. Using our knowledge of matter behaviour, we have the power to shape them according to our needs.)