A sound machine having a pseudo random white noise generator provides white noise sound therapy of selectable tone/texture, bandwidth and/or peak frequency to those suffering from tinnitus or others seeking noise-masking or sleep or relaxation. The sound machine having a pseudo random white noise generator includes a user input interface having a tone/texture user input control, a band pass user input control and a peak select user input control. The tone/texture user input control selects the tone/texture of the white noise sound generated, the bandpass user input control the bandpass of the white noise sound generated and the peak select user input control provides the ability to select frequency peaks of the white noise sound generated.