I used Audacity to generate the 8 tones I need – one pitch for each row in the grid. These are from the pentatonic scale, which means that any pitches may be played in any order or combination without clashing. It is an Anhemitonic pentatonic scale, as it does not contain any sharp or flat notes – just the major scale.
My scale that I have created is similar to a slendro scale (used on the gamelan instrument (similar to a Xylophone, played in Java – an island in Indonesia) (Here is a MIDI sample).

I chose to emulate this scale as it is one of the only pentationic scales (non-clashing) with roughly equally spaced intervals between the notes. This will make more sense from a user point of view, as the obvious steps in pitch will match the vertical position of the switches on the grid. (So a user standing on the bottom row would expect to create the lowest note, stepping up equally through 8 intervals, to the highest notes on the top rows.)
Here are the individual notes, all in .wav ready for Flash.