A medical diagnostic ultrasound transducer system has at least a first and a second set of transducer layers of an element. Each set has one or more transducer layers with independent electrical access. A transmit event through a first set of transducer layers with broadband electrical signals generates acoustic signals containing at least two different frequency bands, and a receive event through a second and different set of transducer layers receives multiple tissue harmonic signals to generate a wide bandwidth response. Fundamental signals can be reduced with a pulse inversion technique through a second transmit event of inverted pulses, a second receive event and superposition of signals from the two receive events.