What recording quality did you choose on the Zoom H2? Try it with the highest quality 24-96khz wav file. If that is still not satisfactory then the built in microphones may be at fault. Try an external mic.
After that maybe something like this would work better
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/www.bhphotovideo.com/bnh/controller/home?O=&sku=929347&is=REG&A=details&Q=