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...The sparse part is, while the arrays are perfectly dense and linear, time is sparse when some springs vibrate with a larger multiplier of position subtracted from speed. In other words, this hack is a quanta level discontinuous field but in theory may be continuous as change in natural resonance frequency (what part of the "guitar string" would vibrate as if nothing acted on it) These few kilobytes of java code, many versions of CochleaSim.java and JSoundCard0.5 as an easily replaced dependency that reads microphone and writes to speakers as numbers ranging -1 to 1 44100 times per second, which is where SparseDoppler hooks in its array, microphone at one end and speakers hear the sum of the whole string.